Knowledge

Triboelectric effect

Source 📝

33: 1105:
the group of Professor Shaw, who laid much of the foundation of experimental knowledge. In a series of papers he: was one of the first to mention some of the failings of the triboelectric series, also showing that heat had a major effect on tribocharging; analyzed in detail where different materials would fall in a triboelectric series, at the same time pointing out anomalies; separately analyzed glass and solid elements and solid elements and textiles, carefully measuring both tribocharging and friction; analyzed charging due to air-blown particles; demonstrated that surface strain and relaxation played a critical role for a range of materials, and examined the tribocharging of many different elements with silica.
1666: 1208:). With this approximation, each asperity contact during sliding is equivalent to a stationary one; there is no direct coupling between the sliding velocity and electron motion. An alternative view (beyond the Born–Oppenheimer approximation) is that sliding acts as a quantum mechanical pump which can excite electrons to go from one material to another. A different suggestion is that local heating during sliding matters, an idea first suggested by Frenkel in 1941. Other papers have considered that local bending at the nanoscale produces voltages which help drive charge transfer via the 1319: 1403: 1298: 1153:
whether it was bent concave or convex during rubbing. The same behavior with curvature was reported in 1917 by Shaw, who noted that the effect of curvature with different materials made them either more positive or negative. In 1920, Richards pointed out that for colliding particles the velocity and mass played a role, not just what the materials were. In 1926, Shaw pointed out that with two pieces of identical material, the sign of the charge transfer from "rubber" to "rubbed" could change with time.
64: 1754: 1599:(water in the air) leads to a decrease in the magnitude of triboelectric charging. The size of this effect varies greatly depending on the contacting materials; the decrease in charging ranges from up to a factor of 10 or more to very little humidity dependence. Some experiments find increased charging at moderate humidity compared to extremely dry conditions before a subsequent decrease at higher humidity. The most widespread explanation is that higher humidity leads to more water 1247: 1790: 1145:
pieces of paper less than a square centimeter, and will repel a similarly electrified pen. This repulsion is detectable by hanging both pens on threads and setting them near one another. Such experiments led to the theory of two types of electric charge, one being the negative of the other, with a simple sum respecting signs giving the total charge. The electrostatic attraction of the charged plastic pen to neutral uncharged pieces of paper (for example) is due to induced
1172: 1020: 1836: 1282: 1290: 1394:
flexoelectricity may be very important in triboelectricity as it occurs in all insulators and semiconductors. Quite a few of the experimental results such as the effect of curvature can be explained by this approach, although full details have not as yet been determined. There is also early work from Shaw and Hanstock, and from the group of Daniel Lacks demonstrating that strain matters.
1187:) between the two materials. This can lead to charge transfer as, for instance, analyzed by Harper. As has been known since at least 1953, the contact potential is part of the process but does not explain many results, such as the ones mentioned in the last two paragraphs. Many studies have pointed out issues with the work function difference ( 1745:, in places that store explosive powders, and in many other cases. Triboelectric powder separation has been discussed as a method of separating powders, for instance different biopolymers. The principle here is that different degrees of charging can be exploited for electrostatic separation, a general concept for powders. 1370:. Experiments have validated the importance of this for metals and other materials. However, because the surface dipoles vary for different surfaces of any solid the contact potential is not a universal parameter. By itself it cannot explain many of the results which were established in the early 20th century. 1701:. During the solidification the positive and negative ions may not be equally distributed between the liquid and solid. For instance, in thunderstorms this can contribute (together with the waterfall effect) to separation of positive hydrogen ions and negative hydroxide ions, leading to static charge and 1220:
From early work starting around the end of the 19th century a large amount of information is available about what, empirically, causes triboelectricity. While there is extensive experimental data on triboelectricity there is not as yet full scientific consensus on the source, or perhaps more probably
1830:
Triboelectric noise within medical cable assemblies and lead wires is generated when the conductors, insulation, and fillers rub against each other as the cables are flexed during movement. Keeping triboelectric noise at acceptable levels requires careful material selection, design, and processing.
1410:
An explanation that has appeared in different forms is analogous to charge on a capacitor. If there is a potential difference between two materials due to the difference in their work functions (contact potential), this can be thought of as equivalent to the potential difference across a capacitor.
1736:
During commercial powder processing or in natural processes such as dust storms, triboelectric charge transfer can occur. There can be electric fields of up to 160kV/m with moderate wind conditions, which leads to Coulomb forces of about the same magnitude as gravity. There does not need to be air
1305:
It is known that this approach is too simple and unreliable. There are many cases where there are triangles: material A is positive when rubbed against B, B is positive when rubbed against C, and C is positive when rubbed against A, an issue mentioned by Shaw in 1914. This cannot be explained by a
1104:
in 1834. He studied triboelectric charging for a range of conditions such as the material, pressure and rubbing of surfaces. It was some time before there were further quantitative works by Owen in 1909 and Jones in 1915. The most extensive early set of experimental analyses was from 1914–1930 by
1144:
Triboelectric charging occurs when two materials are brought into contact then separated, or slide against each other. An example is rubbing a plastic pen on a shirt sleeve made of cotton, wool, polyester, or the blended fabrics used in modern clothing. An electrified pen will attract and pick up
1708:
A third class is associated with contact potential differences between liquids or gases and other materials, similar to the work function differences for solids. It has been suggested that a triboelectric series for liquids is useful. One difference from solids is that often liquids have charged
1393:
There has been considerable work on the connection between piezoelectricity and triboelectricity. While it can be important, piezoelectricity only occurs in the small number of materials which do not have inversion symmetry, so it is not a general explanation. It has recently been suggested that
1152:
The triboelectric effect can be unpredictable because many details are often not controlled. Phenomena which do not have a simple explanation have been known for many years. For instance, as early as 1910, Jaimeson observed that for a piece of cellulose, the sign of the charge was dependent upon
1656:
between asperities of different charges, and an increase in the adhesion from contact electrification when geckos walk on water. There is also evidence of connections between jerky (stick–slip) processes during sliding with charge transfer, electrical discharge and x-ray emission. How large the
1681:
which used falling drops to create an electric generator. Liquid mercury is a special case as it typically acts as a simple metal, so has been used as a reference electrode. More common is water, and electricity due to water droplets hitting surfaces has been documented since the discovery by
1611:
as contacts separate, resulting in a smaller transfer of charge. Another proposed explanation for humidity effects considers the case when charge transfer is observed to increase with humidity in dry conditions. Increasing humidity may lead to the formation of water bridges between contacting
1651:
there is coupling between elastic strains, polarization and surface charge which contributes to the frictional force. In sliding friction, when asperities contact and there is charge transfer, some of the charge returns as the contacts are released, some does not and will contribute to the
992:
and the attraction of magnetic materials were considered to be similar or the same. There are indications that it was known both in Europe and outside, for instance China and other places. Syrian women used amber whorls in weaving and exploited the triboelectric properties, as noted by
1765:
Non-conducting pipes carrying combustible liquids or fuels such as petrol can result in tribocharge accumulation on the walls of the pipes, which can lead to potentials as large as 90 kV. Pneumatic transport systems in industry can lead to fires due to the tribocharge generated during
1306:
linear series; cyclic series are inconsistent with the empirical triboelectric series. Furthermore, there are many cases where charging occurs with contacts between two pieces of the same material. This has been modelled as a consequence of the electric fields from local bending (
1583:. Electrons are pumped in both directions, but small differences in the electronic potential landscapes for the two surfaces can cause net charging. Alicki and Jenkins argue that such an irreversible pumping is needed to understand how the triboelectric effect can generate an 1262:
published the first one in a 1757 paper. The series was expanded by Shaw and Henniker by including natural and synthetic polymers, and included alterations in the sequence depending on surface and environmental conditions. Lists vary somewhat as to the order of some materials.
1737:
present, significant charging can occur, for instance, on airless planetary bodies. With pharmaceutic powders and other commercial powders the tribocharging needs to be controlled for quality control of the materials and doses. Static discharge is also a particular hazard in
1160:, which showed that the sign of charge transfer reverses between when a tip is pushing into a substrate versus when it pulls out; the detailed work of Lee et al and Forward, Lacks and Sankaran and others measuring the charge transfer during collisions between particles of 894:
transfer between two objects when they contact or slide against each other. It can occur with different materials, such as the sole of a shoe on a carpet, or between two pieces of the same material. It is ubiquitous, and occurs with differing amounts of charge transfer
1097:. In this work materials were listed in order of the polarity of charge separation when they are touched or slide against another. A material towards the bottom of the series, when touched to a material near the top of the series, will acquire a more negative charge. 8371: 1694:. This is when falling water generates static electricity either by collisions between water drops or with the ground, leading to the finer mist in updrafts being mainly negatively charged, with positive near the lower surface. It can also occur for sliding drops. 1361:
A rationalization of the triboelectric series is that different members have different work functions, so electrons can go from the material with a small work function to one with a large. The potential difference between the two materials is called the
1341:
In all materials there is a positive electrostatic potential from the positive atomic nuclei, partially balanced by a negative electrostatic potential of what can be described as a sea of electrons. The average potential is positive, what is called the
1511:
There is debate about whether electrons or ions are transferred in triboelectricity. For instance, Harper discusses both possibilities, whereas Vick was more in favor of electron transfer. The debate remains to this day with, for instance,
956:
The historical development of triboelectricity is interwoven with work on static electricity and electrons themselves. Experiments involving triboelectricity and static electricity occurred before the discovery of the electron. The name
1815:
Space vehicles can accumulate significant tribocharge which can interfere with communications such as the sending of self-destruct signals. Some launches have been delayed by weather conditions where tribocharging could
1203:
suggested that the role of sliding was to produce more contacts per second. In modern terms, the idea is that electrons move many times faster than atoms, so the electrons are always in equilibrium when atoms move (the
1808:
During planetary formation, a key step is aggregation of dust or smaller particles. There is evidence that triboelectric charging during collisions of granular material plays a key role in overcoming barriers to
1074:. These names corresponded to the glass (vitreous) rods and bituminous coal, amber, or sealing wax (resinous) used in du Fay's experiments. These names were used throughout the 19th century. The use of the terms 1831:
It is also an issue with underwater electroacoustic transducers if there are flexing motions of the cables; the mechanism is believed to involve relative motion between a dielectric and a conductor in the cable.
1769:
On ships, contact between cargo and pipelines during loading and unloading, as well as flow in steam pipes and water jets in cleaning machines can lead to dangerous charging. Courses exist to teach mariners the
910:
has been used to refer to the field of study or the general phenomenon of the triboelectric effect, or to the static electricity that results from it. When there is no sliding, tribocharging is sometimes called
5224:
Zou, Haiyang; Guo, Litong; Xue, Hao; Zhang, Ying; Shen, Xiaofang; Liu, Xiaoting; Wang, Peihong; He, Xu; Dai, Guozhang; Jiang, Peng; Zheng, Haiwu; Zhang, Binbin; Xu, Cheng; Wang, Zhong Lin (29 April 2020).
1780:
Wiping a rail near a chemical tank while it is being filled with a flammable chemical can lead to sparks which ignite the chemical. This was the cause of a 2017 explosion that killed one and injured many.
899:) for all solid materials. There is evidence that tribocharging can occur between combinations of solids, liquids and gases, for instance liquid flowing in a solid tube or an aircraft flying through air. 2697:"V. A letter from Mons. Du Fay, F. R. S. and of the Royal Academy of Sciences at Paris, to his Grace Charles Duke of Richmond and Lenox, concerning electricity. Translated from the French by T. S. M D" 1346:(MIP). Different materials have different MIPs, depending upon the types of atoms and how close they are. At a surface the electrons also spill out a little into the vacuum, as analyzed in detail by 1844:
Vehicle tires are normally dark because carbon black is added to help conduct away tribocharge that can shock passengers when they exit. There are also discharging straps than can be purchased.
1038:
in 1600. He discovered that many more materials than amber such as sulphur, wax, glass could produce static electricity when rubbed, and that moisture prevented electrification. Others such as
1468: 1720:
Finally, with liquids there can be flow-rate gradients at interfaces, and also viscosity gradients. These can produce electric fields and also polarization of the liquid, a field called
934:. While many aspects of the triboelectric effect are now understood and extensively documented, significant disagreements remain in the current literature about the underlying details. 6391:
Collins, Adam L.; Camara, Carlos G.; Van Cleve, Eli; Putterman, Seth J. (2018). "Simultaneous measurement of triboelectrification and triboluminescence of crystalline materials".
2047:
Watanabe, H.; Ghadiri, M; Matsuyama, T.; Diing, Y.; Pitt, K.; Maruyama, H.; Matsusaka, S.; Masuda, H. (2007). "Triboelectrification of pharmaceutical powders by particle impact".
1797:
While the simple case of stroking a cat is familiar to many, there are other areas in modern technological civilization where triboelectricity is exploited or is a concern:
1490: 1434: 1657:
triboelectric contribution is to friction has been debated. It has been suggested by some that it may dominate for polymers, whereas Harper has argued that it is small.
1805:
to remove it. Checking the status of these is a standard task for pilots. Similarly, helicopter blades move fast, and tribocharging can generate voltages up to 200 kV.
8037: 1212:
effect. There are also suggestions that surface or trapped charges are important. More recently there have been attempts to include a full solid state description.
1773:
US authorities require nearly all industrial facilities to measure particulate dust emissions. Various sensors based on triboelectricity are used, and in 1997 the
1492:
is the surface normal. The total charge in the capacitor is then the combination of the bound surface charge from the polarization and that from the potential.
621: 1411:
The charge to compensate this is that which cancels the electric field. If an insulating dielectric is in between the two materials, then this will lead to a
1390:
methods. Because flexoelectricity depends upon a gradient it can be much larger at the nanoscale during sliding or contact of asperity between two objects.
1636:. As an example, in a car or any other vehicle the wheels elastically deform as they roll. Part of the energy needed for this deformation is recovered ( 1008:, could draw sparks from his body. He also states that a philosopher was able, while dressing, to draw sparks from his clothes, similar to the report by 594: 6674:"Triboelectric charging of a glass bead impacting against polymers: Antistatic effects in glass/PU electrification in a humidity-controlled environment" 2635:
Pseudodoxia epidemica: or, Enquiries into very many received tenents and commonly presumed truths (6th and last ed., corr. and enl.). Book II Chapter IV
8686: 1495:
The triboelectric charge from this compensation model has been frequently considered as a key component. If the additional polarization due to strain (
943: 606: 8653: 1050:. He noted that metals did not show triboelectric charging, perhaps because the charge was conducted away. An important step was around 1663 when 8138: 1673:
The generation of static electricity from the relative motion of liquids or gases is well established, with one of the first analyses in 1886 by
8212:"Quantitative failure analysis for static electricity-related explosion and fire accidents on tanker vessels under fuzzy bow-tie CREAM approach" 1777:
issued guidelines for triboelectric fabric-filter bag leak-detection systems. Commercial sensors are available for triboelectric dust detection.
1555:
A proposed theory of triboelectricity as a fundamentally irreversible process was published in 2020 by theoretical physicists Robert Alicki and
1774: 4805: 7670:
Castellanos, A. (2005). "The relationship between attractive interparticle forces and bulk behaviour in dry and uncharged fine powders".
8415:
Steinpilz, Tobias; Joeris, Kolja; Jungmann, Felix; Wolf, Dietrich; Brendel, Lothar; Teiser, Jens; Shinbrot, Troy; Wurm, Gerhard (2020).
7517:
Wong, William S. Y.; Bista, Pravash; Li, Xiaomei; Veith, Lothar; Sharifi-Aghili, Azadeh; Weber, Stefan A. L.; Butt, Hans-Jürgen (2022).
8497: 8303: 857: 626: 7131:"XVI. On a self-acting apparatus for multiplying and maintaining electric charges, with applications to illustrate the voltaic theory" 922:
Triboelectric charge plays a major role in industries such as packaging of pharmaceutical powders, and in many processes such as
906:
is a consequence of the triboelectric effect when the charge stays on one or both of the objects and is not conducted away. The term
8584:
Donovan, John E. (1970). "Triboelectric Noise Generation in Some Cables Commonly Used with Underwater Electroacoustic Transducers".
2398:
A history of electricity (the intellectual rise in electricity) from antiquity to the days of Benjamin Franklin by Park Benjamin ...
1724:. These are analogous to the electromechanical terms for solids where electric fields can occur due to elastic strains as described 1354:
at the surface. Combined, the dipole and the MIP lead to a potential barrier for electrons to leave a material which is called the
1164:
of different size but the same composition, with one size charging positive, the other negative; the observations using sliding or
636: 8056:Żenkiewicz, Marian; Żuk, Tomasz; Markiewicz, Ewa (2015). "Triboelectric series and electrostatic separation of some biopolymers". 1640:), some is not and goes into heating the tires. The energy which is not recovered contributes to the back force, a process called 2103:
Galembeck, Fernando; Burgo, Thiago A. L.; Balestrin, Lia B. S.; Gouveia, Rubia F.; Silva, Cristiane A.; Galembeck, André (2014).
1156:
There are other more recent experimental results which also do not have a simple explanation. For instance the work of Burgo and
1054:
invented a machine that could automate triboelectric charge generation, making it much easier to produce more tribocharge; other
7359: 3729:"Collisional charging of individual submillimeter particles: Using ultrasonic levitation to initiate and track charge transfer" 1179:
The details of how and why tribocharging occurs are not established science as of 2023. One component is the difference in the
1116:. It was in the early 1950s in the work of authors such as Vick that these were taken into account along with concepts such as 461: 7244: 6839: 6812: 6317: 5981: 3425: 3333: 2781: 2753: 2616: 2372: 1713:, and most of the work to date supports that ion transfer (rather than electron) dominates for liquids as first suggested by 1549: 958: 476: 471: 98: 8091:
El-Mouloud Zelmat, Mohamed; Rizouga, Mohamed; Tilmatine, Amar; Medles, Karim; Miloudi, Mohamed; Dascalescu, Lucien (2013).
1608: 1266:
Another triboelectric series based on measuring the triboelectric charge density of materials was proposed by the group of
486: 7315:
Gross, Gerardo Wolfgang (1965). "The Workman–Reynolds effect and ionic transfer processes at the ice-solution interface".
8093:"Experimental Comparative Study of Different Tribocharging Devices for Triboelectric Separation of Insulating Particles" 1559:. They argued that the electrons in the two materials that slide against each other have different velocities, giving a 1437: 1191:) as a complete explanation. There is also the question of why sliding is often important. Surfaces have many nanoscale 1205: 6435: 4008: 947: 88: 32: 1443: 1378:
Whenever a solid is strained, electric fields can be generated. One process is due to linear strains, and is called
356: 2841: 8680: 1697:
Another type of charge can be produced during rapid solidification of water containing ions, which is called the
1195:
where the contact is taking place, which has been taken into account in many approaches to triboelectrification.
271: 8570: 3260:
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
3211:
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
3154:
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
3102:
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
3047:
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
3002:
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
1963:
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
1234:
The electronic structure of the materials, and the crystallographic orientation of the two contacting materials.
1710: 1560: 1101: 850: 616: 93: 4188: 8730: 3891: 2425:"A life of its own: The tenuous connection between Thales of Miletus and the study of electrostatic charging" 1165: 631: 336: 17: 6175:"Electrostatic Charging Due to Separation of Ions at Interfaces: Contact Electrification of Ionic Electrets" 2157:. Materials Research Science and Engineering Centers Education Group / University of Wisconsin–Madison. 2020 3256:"Triboelectricity and friction. VII.—Quantitative results for metals and other solid elements, with silica" 2312:
Blum, Jürgen; Wurm, Gerhard (2008). "The Growth Mechanisms of Macroscopic Bodies in Protoplanetary Disks".
2176: 1812:
Single-use medical protective clothing have to fulfill certain triboelectric charging regulations in China.
1604: 1192: 1059: 496: 236: 103: 5919:"On the Representation of the Static Polarization of Rigid Dielectrics by Equivalent Charge Distributions" 2568: 1258:
This is a list of materials ordered by how they develop a charge relative to other materials on the list.
226: 8628: 6715:"Particle-Size-Dependent Triboelectric Charging in Single-Component Granular Materials: Role of Humidity" 5716: 1031: 789: 664: 561: 536: 456: 8328: 6829: 1647:
Similar to rolling friction there are energy terms in charge transfer, which contribute to friction. In
6588:"Polymer tribo-electric charging: dependence on thermodynamic surface properties and relative humidity" 6520:"Polymer tribo-electric charging: dependence on thermodynamic surface properties and relative humidity" 1503:) is included this can explain observations such as the effect of curvature or inhomogeneous charging. 1013: 1001: 289: 8693:
showing repulsion after rods are tribocharged, different cases giving repulsive and attractive forces.
8211: 7990: 6713:
Toth, Joseph R.; Phillips, Amber K.; Rajupet, Siddharth; Sankaran, R. Mohan; Lacks, Daniel J. (2017).
6587: 6519: 6462: 2424: 1572: 1042:
made important contributions slightly later, both in terms of materials and the first use of the word
2836: 2364: 1387: 1382:, the second depends upon how rapidly strains are changing with distance (derivative) and is called 843: 804: 331: 321: 261: 256: 196: 5061: 3855:
Baytekin, H. T.; Patashinski, A. Z.; Branicki, M.; Baytekin, B.; Soh, S.; Grzybowski, B. A. (2011).
3045:
Shaw, P. E.; Jex, C. S. (1928). "Tribo-Electricity and Friction. III. Solid Elements and Textiles".
1761:
There are many areas in industry where triboelectricity is known to be an issue. some examples are:
1322:
When the two metals depicted here are in thermodynamic equilibrium with each other as shown (equal
1301:
Cyclic triboelectric series example, illustrating that a linear approach does not work in practice.
341: 4472:"Non-adiabatic quantum dynamics of tribovoltaic effects at sliding metal–semiconductor interfaces" 1473: 1417: 1086:
around 1747 where he ascribed electricity to an over- or under- abundance of an electrical fluid.
774: 276: 8735: 8690: 7779: 7722: 6135: 6029: 5998: 5887: 5496: 4925: 4756: 4471: 4106: 4079: 2906: 2864: 2199: 1860: 1854: 1801:
Air moving past an aircraft can lead to a buildup of charge; aircraft typically have one or more
1327: 1133: 1055: 654: 181: 171: 166: 7075: 7028: 5658: 5438: 5383: 4213: 3934: 3796: 3465: 3363: 2950: 2696: 2010: 779: 749: 6626: 3690:"Bipolar Tribocharging Signal During Friction Force Fluctuations at Metal–Insulator Interfaces" 2658: 1231:
The forces used during sliding, and the velocities when particles collide as well as the sizes.
601: 371: 146: 7261: 2357: 8683:, a podcast for kids about a masked menace who is electrified and goes around zapping people. 7576:"Surface Electrification Due to the Recession of Aqueous Solutions from Hydrophobic Surfaces" 6174: 4972: 3728: 3689: 2633: 2466: 1200: 1047: 699: 386: 376: 326: 316: 8257: 8164: 6905:
Burgo, Thiago A. L.; Silva, Cristiane A.; Balestrin, Lia B. S.; Galembeck, Fernando (2013).
5227:"Quantifying and understanding the triboelectric series of inorganic non-metallic materials" 2325: 1665: 8740: 8593: 8428: 7877: 7830: 7818: 7744: 7679: 7626: 7465: 7418: 7371: 7324: 7273: 7191: 7087: 7040: 6918: 6638: 6474: 6400: 6349: 6264: 6090: 6041: 5930: 5918: 5852: 5785: 5728: 5670: 5623: 5576: 5518: 5450: 5395: 5299: 5238: 5180: 5131: 5073: 4937: 4874: 4817: 4778: 4713: 4650: 4578: 4493: 4420: 4356: 4293: 4225: 4044: 3946: 3868: 3808: 3750: 3649: 3601: 3541: 3477: 3375: 3267: 3218: 3161: 3109: 3054: 3009: 2962: 2478: 2333: 2321: 2259: 2211: 2116: 1970: 1902: 1872: 1721: 1678: 1541: 1513: 1412: 1109: 824: 724: 689: 441: 306: 191: 126: 4556: 4398: 1632:
process such as elastic and plastic deformation, phonon and electron excitation, and also
1629: 63: 8: 8069: 6856: 5841:"Dependence of contact electrification on the magnitude of strain in polymeric materials" 5740: 5085: 1884: 1637: 1633: 1584: 1129: 988:(8th to 3rd century BC) the attraction of materials due to static electricity by rubbing 951: 927: 784: 764: 759: 566: 551: 436: 406: 301: 231: 8597: 8471: 8432: 7881: 7834: 7748: 7683: 7639: 7630: 7614: 7469: 7422: 7375: 7328: 7277: 7195: 7091: 7080:
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
7044: 6922: 6672:
Lesprit, Ugo; Paillat, Thierry; Zouzou, Noureddine; Paquier, Anna; Yonger, Marc (2021).
6642: 6478: 6404: 6353: 6268: 6094: 6045: 5999:"Triboelectrification of particulate flows on surfaces: Part II — Mechanisms and models" 5934: 5888:"Effects of material strain on triboelectric charging: Influence of material properties" 5856: 5789: 5732: 5674: 5663:
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
5627: 5580: 5522: 5454: 5399: 5303: 5242: 5184: 5135: 5077: 5062:"Correlation of contact deformation with contact electrification of identical materials" 4941: 4878: 4852: 4821: 4782: 4717: 4654: 4638: 4582: 4497: 4424: 4360: 4297: 4229: 4048: 3950: 3939:
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
3872: 3812: 3754: 3653: 3605: 3545: 3481: 3379: 3271: 3222: 3165: 3113: 3058: 3013: 2966: 2774:
A history of the theories of aether & electricity. 2: The modern theories, 1900–1926
2482: 2263: 2215: 2120: 1974: 8745: 8551: 8452: 8239: 8192: 8120: 8018: 7936: 7915:"Dust charging and transport on airless planetary bodies: Electrostatic Dust Transport" 7760: 7734: 7703: 7652: 7551: 7518: 7499: 7297: 7160: 7111: 7004: 6971: 6947: 6906: 6884: 6783: 6654: 6373: 6155: 6116: 5821: 5694: 5542: 5508: 5474: 5419: 5364: 5267: 5226: 5201: 5168: 5149: 5097: 5039: 4953: 4906: 4864: 4853:"Band Bending and Ratcheting Explain Triboelectricity in a Flexoelectric Contact Diode" 4768: 4737: 4682: 4610: 4568: 4509: 4483: 4452: 4410: 4325: 4283: 4249: 4169: 3970: 3912: 3832: 3774: 3740: 3567: 3501: 3293: 3207:"Triboelectricity and friction.—VI. On surface strain and relaxation for unlike solids" 3187: 3078: 2724: 2291: 2249: 1908: 1318: 1117: 903: 659: 399: 201: 161: 40: 8227: 6603: 6535: 6338:"Correlation between nanosecond X-ray flashes and stick–slip friction in peeling tape" 4790: 4271: 4133: 4118: 4091: 3762: 1402: 1297: 481: 8710: 8609: 8555: 8543: 8523: 8456: 8444: 8243: 8231: 8196: 8184: 8112: 8073: 8022: 8010: 7991:"Reduction of electrostatic charging PETN and HMX explosives by PVP and ionic liquid" 7971: 7940: 7895: 7846: 7799: 7764: 7707: 7695: 7656: 7644: 7595: 7556: 7538: 7503: 7491: 7483: 7434: 7387: 7340: 7301: 7289: 7262:"Visualisation of charge dynamics when water droplets move off a hydrophobic surface" 7240: 7226: 7207: 7164: 7152: 7115: 7103: 7056: 7052: 7009: 6991: 6952: 6934: 6888: 6876: 6855:
Ko, Hyunseok; Lim, Yeong-won; Han, Seungwu; Jeong, Chang Kyu; Cho, Sung Beom (2021).
6835: 6808: 6787: 6775: 6734: 6695: 6658: 6607: 6500: 6416: 6365: 6313: 6288: 6280: 6233: 6194: 6159: 6120: 6108: 5977: 5946: 5868: 5825: 5813: 5754: 5698: 5686: 5639: 5611: 5592: 5546: 5534: 5478: 5466: 5462: 5423: 5411: 5407: 5368: 5356: 5315: 5272: 5254: 5206: 5101: 5089: 5043: 5031: 4992: 4957: 4910: 4898: 4890: 4833: 4729: 4686: 4674: 4666: 4614: 4602: 4594: 4513: 4456: 4444: 4436: 4317: 4309: 4253: 4241: 4237: 4173: 4161: 4153: 4060: 4014: 4004: 3974: 3962: 3904: 3896: 3824: 3778: 3766: 3709: 3665: 3661: 3617: 3559: 3505: 3493: 3489: 3421: 3391: 3387: 3329: 3297: 3285: 3236: 3191: 3179: 3127: 3070: 3027: 2978: 2974: 2926: 2884: 2777: 2749: 2728: 2716: 2678: 2612: 2537: 2512: 2494: 2444: 2368: 2337: 2283: 2275: 2150: 2132: 2082: 2074: 2026: 1988: 1920: 1824: 1702: 1564: 1556: 1537: 1517: 1259: 1184: 1090: 1083: 1051: 1039: 1005: 966: 719: 8416: 8124: 7723:"Recent progress in CFD modeling of powder flow charging during pneumatic conveying" 6714: 6650: 5530: 5011: 3916: 3836: 3150:"Triboelectricity and friction. —V. On surface strain and relaxation of like solids" 8601: 8535: 8436: 8223: 8176: 8104: 8065: 8002: 7963: 7954:
Glor, Martin (2009). "Ignition source static electricity: Incident investigation".
7926: 7885: 7838: 7791: 7752: 7687: 7634: 7587: 7575: 7546: 7530: 7473: 7426: 7379: 7332: 7281: 7232: 7199: 7142: 7095: 7048: 6999: 6983: 6942: 6926: 6868: 6765: 6726: 6685: 6646: 6599: 6565: 6553: 6531: 6490: 6482: 6408: 6377: 6357: 6336:
Camara, Carlos G.; Escobar, Juan V.; Hird, Jonathan R.; Putterman, Seth J. (2008).
6272: 6225: 6213: 6186: 6147: 6098: 6057: 6049: 6010: 5969: 5938: 5899: 5860: 5803: 5793: 5744: 5736: 5678: 5631: 5584: 5564: 5526: 5458: 5403: 5346: 5307: 5262: 5246: 5196: 5188: 5153: 5139: 5081: 5023: 4984: 4945: 4882: 4825: 4786: 4741: 4721: 4658: 4590: 4586: 4501: 4432: 4428: 4364: 4329: 4301: 4233: 4194: 4145: 4114: 4087: 4052: 3954: 3886: 3876: 3820: 3816: 3758: 3701: 3657: 3609: 3571: 3549: 3485: 3383: 3275: 3226: 3169: 3117: 3062: 3017: 2970: 2918: 2876: 2708: 2670: 2639: 2486: 2436: 2402: 2329: 2295: 2271: 2267: 2219: 2124: 2064: 2056: 2022: 1978: 1896: 1878: 1866: 1641: 1500: 1496: 1383: 1379: 1307: 1209: 1196: 1121: 1058:
followed. For instance, shown in the Figure is an electrostatic generator built by
1024: 819: 734: 694: 684: 571: 526: 509: 426: 361: 131: 55: 36: 6972:"Role of contact electrification and electrostatic interactions in gecko adhesion" 6872: 6134:
Han, Chun; Zhou, Qun; Hu, Jiawei; Liang, Cai; Chen, Xiaoping; Ma, Jiliang (2021).
5439:"Triboelectrification of identical insulators. II. Theory and further experiments" 3727:
Lee, Victor; James, Nicole M.; Waitukaitis, Scott R.; Jaeger, Heinrich M. (2018).
3589: 2060: 1893:, science of tribology (friction, lubrication and wear processes) at the nanoscale 1567:
cause this imbalance to pump electrons from one material to the other. This is a
1100:
The first systematic analysis of triboelectricity is considered to be the work of
8006: 7989:
Lotfzadeh, Habibeh; Khorasanloo, Fatemeh Hemmati; Fathollahi, Manoochehr (2020).
7967: 7780:"LXXXI. A note on the electrification of the atmosphere and surface of the earth" 7534: 6802: 6690: 6673: 6151: 6014: 5903: 5497:"On the role of flexoelectricity in triboelectricity for randomly rough surfaces" 4949: 4886: 4662: 4505: 2801: 2589: 2440: 2396: 2105:"Friction, tribochemistry and triboelectricity: recent progress and perspectives" 1714: 1648: 1576: 1533: 1363: 1221:
the sources. Some aspects are established, and will be part of the full picture:
1188: 994: 891: 754: 679: 674: 541: 416: 381: 241: 141: 8397: 7452:
Yoo, Donghyeon; Jang, Sunmin; Cho, Sumin; Choi, Dongwhi; Kim, Dong Sung (2023).
5384:"Triboelectrification of identical insulators. I. An experimental investigation" 4702:"Triboelectricity and Electron Traps in Insulating Materials: Some Correlations" 794: 8539: 8330:
WATCH: Dramatic Video Shows Deadly Explosion Inside New Windsor Cosmetics Plant
8092: 7784:
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
7406: 7285: 6307: 6103: 6078: 5773: 5250: 5192: 4305: 2911:
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
2869:
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
1742: 1738: 1683: 1545: 1271: 1267: 1237:
Surface or interface states, as well as environmental factors such as humidity.
714: 709: 531: 421: 346: 296: 246: 219: 176: 151: 121: 114: 8702: 8699:
with a plastic comb rubbed by a cotton cloth attracting small pieces of paper.
8696: 8440: 8352: 8283: 7795: 7756: 7691: 7236: 6770: 6753: 6486: 6337: 6053: 5973: 5840: 5635: 5351: 5334: 5311: 5027: 4056: 3640:
Shaw, P. E. (1926). "Electrical separation between identical solid surfaces".
3441: 2922: 2880: 2674: 2240:
Kok, Jasper F.; Renno, Nilton O. (2008). "Electrostatics in Wind-Blown Sand".
2223: 1544:. A similar point of view to Derjaguin's has been more recently advocated by 1386:. Both are established science, and can be both measured and calculated using 1278:
under well-defined conditions, with fixed temperature, pressure and humidity.
8724: 8714: 8613: 8547: 8448: 8235: 8188: 8116: 8108: 8077: 8014: 7975: 7899: 7850: 7803: 7699: 7648: 7599: 7542: 7487: 7438: 7391: 7344: 7293: 7211: 7203: 7156: 7107: 7060: 6995: 6938: 6880: 6779: 6754:"The research works of Coulomb and Amontons and generalized laws of friction" 6738: 6730: 6699: 6611: 6504: 6369: 6284: 6237: 6112: 5950: 5872: 5817: 5758: 5690: 5643: 5596: 5538: 5470: 5415: 5360: 5335:"Fundamental theories and basic principles of triboelectric effect: A review" 5319: 5258: 5093: 5035: 4926:"Theory of contact electrification: Optical transitions in two-level systems" 4894: 4837: 4733: 4670: 4598: 4440: 4369: 4344: 4313: 4245: 4157: 4064: 3966: 3900: 3828: 3770: 3669: 3621: 3563: 3497: 3395: 3289: 3240: 3183: 3131: 3074: 3031: 2982: 2930: 2888: 2720: 2682: 2498: 2448: 2341: 2279: 2136: 2078: 1992: 1926: 1890: 1820: 1653: 1355: 1334: 1180: 1009: 829: 814: 799: 739: 451: 366: 351: 266: 251: 156: 7430: 7336: 5588: 4149: 4018: 3881: 3856: 3098:"Tribo-electricity and friction. IV.—Electricity due to air-blown particles" 2406: 1753: 8706: 7560: 7495: 7478: 7453: 7147: 7130: 7099: 7013: 6987: 6956: 6420: 6292: 6252: 6198: 6190: 5682: 5276: 5210: 4996: 4988: 4902: 4701: 4678: 4606: 4448: 4321: 4165: 3958: 3908: 3713: 3705: 3613: 3280: 3255: 3231: 3206: 3174: 3149: 3122: 3097: 3066: 3022: 2997: 2745:
The story of electrical and magnetic measurements: from 500 BC to the 1940s
2743: 2712: 2287: 2086: 1983: 1958: 1887:, light produced by mechanical action, often involving triboelectric effect 1529: 1113: 1030:
It is generally considered that the first major scientific analysis was by
977:(Greek for 'rub') refers to sliding, friction and related processes, as in 809: 704: 669: 611: 546: 466: 431: 311: 186: 8180: 6554:"Effect of Surface Moisture on Contact Charge of Polymers Containing Ions" 3420:. "Oxford Classic Texts" series (Repr ed.). Oxford: Clarendon Press. 1789: 1246: 1168:
of inhomogeneous charge variations between nominally identical materials.
8291:. Office Of Air Quality, Environmental Protection Planning And Standards. 8165:"Static electricity in pneumatic transport systems: Three case histories" 7931: 7914: 7819:"The Static Electrification of Dust Particles on Dispersion into a Cloud" 4527:
Frenkel, J. (1941). "On the electrification of dielectrics by friction".
4035:
Harper, W. R. (1961). "Electrification following the contact of solids".
1802: 1674: 1347: 1323: 1274:
of the tested materials was measured with respect to liquid mercury in a
1157: 1063: 1043: 1000:
The effect was mentioned in records from the medieval period. Archbishop
729: 581: 411: 73: 8417:"Electrical charging overcomes the bouncing barrier in planet formation" 7591: 6569: 6361: 6229: 5808: 3443:
A Plastic Comb Rubbed With a Cotton Cloth Attracts Small Pieces of Paper
8090: 6586:
Németh, Ernő; Albrecht, Victoria; Schubert, Gert; Simon, Frank (2003).
6518:
Németh, Ernő; Albrecht, Victoria; Schubert, Gert; Simon, Frank (2003).
6495: 6062: 5749: 4198: 2128: 2104: 2069: 1600: 1125: 1035: 923: 446: 8709:. It discusses the contact potential difference model, using the term 8605: 8210:
Elidolu, Gizem; Akyuz, Emre; Arslan, Ozcan; Arslanoğlu, Yasin (2022).
7890: 7865: 7842: 6930: 6412: 5942: 5864: 5798: 4829: 4806:"Triboelectric effect: A new perspective on electron transfer process" 2643: 2490: 1004:, Greek scholar and writer of the 12th century, records that Woliver, 8351:
Pettit, Duane; Turnbull, Andrew; Roelant, Henk A. (1 February 2001).
7383: 6276: 5144: 5119: 4755:
Guerret-Piecourt, Christelle; Bec, Sandrine; Treheux, Daniel (2001).
4725: 3554: 3529: 3082: 2815: 2813: 2803:
Disputatio physica experimentalis, de electricitatibus contrariis ...
1914: 1652:
macroscopically observed friction. There is evidence for a retarding
1275: 1171: 1019: 985: 978: 971: 769: 744: 556: 78: 7179: 2567:
Maver, William Jr. (1918). "Electricity, Its History and Progress".
7739: 6970:
Izadi, Hadi; Stewart, Katherine M. E.; Penlidis, Alexander (2014).
5513: 4869: 4573: 4488: 4415: 3854: 3745: 2573:. Vol. X. New York: Encyclopedia Americana Corp. pp. 172 1625: 1596: 1254:
An empirical approach to triboelectricity is a triboelectric series
1161: 965:, which is connected to the recording of electrostatic charging by 521: 516: 136: 8404:– via Army Transportation Research Command, Fort Eustis, VA. 8304:"Triboelectric Dust Detection Vs Opacity Meters – Big Difference?" 4851:
Olson, Karl P.; Mizzi, Christopher A.; Marks, Laurence D. (2022).
4773: 4288: 2810: 2254: 6460: 6027: 5612:"The Influence of Piezo-Electrification on Tribo-Electrification" 1835: 1568: 1175:
Illustration of triboelectric charging from contacting asperities
1012:
of his silk stocking experiments, which may be found in the 1759
919:. The terms are often used interchangeably, and may be confused. 491: 7913:
Wang, X.; Schwan, J.; Hsu, H.-W.; Grün, E.; Horányi, M. (2016).
6907:"Friction coefficient dependence on electrostatic tribocharging" 6461:
Matsusaka, S.; Maruyama, H.; Matsuyama, T.; Ghadiri, M. (2010).
6028:
Matsusaka, S.; Maruyama, H.; Matsuyama, T.; Ghadiri, M. (2010).
5290:
Lowell, J.; Rose-Innes, A.C. (1980). "Contact electrification".
5167:
Zou H, Zhang Y, Guo L, Wang P, He X, Dai G, et al. (2019).
1959:"Experiments on tribo-electricity. I.—The tribo-electric series" 1516:
advocating for ions, while Diaz and Fenzel-Alexander as well as
1281: 6390: 5715:
Zubko, Pavlo; Catalan, Gustau; Tagantsev, Alexander K. (2013).
5012:"Long-standing and unresolved issues in triboelectric charging" 1351: 1146: 1066:
pointed out that there were two types of charge which he named
576: 83: 7988: 7029:"The electrostatic component of the force of sliding friction" 6079:"Review on charging model of sand particles due to collisions" 2998:"Tribo-electricity and friction. II.—Glass and solid elements" 2102: 1911:, electric charge often but not always due to triboelectricity 1536:
argued that triboelectricity and the associated phenomenon of
1289: 8045:. Quincy, Massachusetts: Fire Protection Research Foundation. 7360:"Model for solute redistribution during rapid solidification" 6306:
Deryagin, B. V.; Krotova, N. A.; Smilga, V. P. (1978). "II".
4272:"Electrification of granular systems of identical insulators" 3143: 3141: 2046: 1869:, coupling between an electric field and volume of unit cells 1863:, separation of charges and polarization due to other charges 1580: 1082:
for types of electricity grew out of the independent work of
989: 969:
around 585 BCE, and possibly others even earlier. The prefix
962: 931: 8209: 6904: 6627:"Water vapour adsorption and surface conductivity in solids" 2570:
The Encyclopedia Americana: A Library of Universal Knowledge
2198:
Wong, Jennifer; Kwok, Philip Chi Lip; Chan, Hak-Kim (2015).
1875:, coupling in liquids between electric fields and properties 1603:
at the surface of contacting materials, leading to a higher
8414: 7407:"Charge separation in thunderstorms: Small scale processes" 6712: 6671: 6585: 6517: 6136:"The charging characteristics of particle–particle contact" 5886:
Sow, Mamadou; Lacks, Daniel J.; Sankaran, R. Mohan (2013).
5839:
Sow, Mamadou; Lacks, Daniel J.; Mohan Sankaran, R. (2012).
1620: 915:, and any static electricity generated is sometimes called 8281: 6857:"Triboelectrification: Backflow and Stuck Charges Are Key" 6335: 4757:"Electrical charges and tribology of insulating materials" 4754: 4190:
Fundamental and applied aspects of contact electrification
4134:"Recent Progress and Continuing Puzzles in Electrostatics" 3138: 6436:"Quantum treatment sheds fresh light on triboelectricity" 3857:"The Mosaic of Surface Charge in Contact Electrification" 3726: 2701:
Philosophical Transactions of the Royal Society of London
1827:
devices which convert mechanical energy into electricity.
1669:
Illustration of tribocharge generated from a sliding drop
8498:"Static electricity worry halts NASA rocket test flight" 2562: 2560: 2558: 1881:, polarization due to bending and other strain gradients 8055: 7026: 5772:
Arias, Irene; Catalan, Gustau; Sharma, Pradeep (2022).
3935:"The Volta effect as a cause of static electrification" 8522:
Cheng, Tinghai; Shao, Jiajia; Wang, Zhong Lin (2023).
6831:
Sliding Friction: Physical Principles and Applications
5838: 3790: 3788: 2907:"XXX. Frictional electricity on insulators and metals" 2460: 2458: 1397: 8472:"National Standard of the People's Republic of China" 8350: 8139:"Static Electricity Basics | OPW Retail Fueling EMEA" 6305: 5714: 2951:"The Electrification of Surfaces as Affected by Heat" 2837:"Memoire sur l'Electricite produit par le Frottement" 2555: 1476: 1446: 1420: 7864:
Schmidt, D. S.; Schmidt, R. A.; Dent, J. D. (1998).
6969: 6312:. Translated by Johnston, R. K. Consultants Bureau. 6211: 1905:, general description of the physics of polarization 1725: 1225:
Work function differences between the two materials.
6800: 5060:Xie, L.; He, P. F.; Zhou, J.; Lacks, D. J. (2014). 4761:
Comptes Rendus de l'Académie des Sciences, Série IV
3794: 3785: 2455: 7863: 5771: 4637:Mizzi, Christopher A.; Marks, Laurence D. (2022). 4555:Mizzi, C. A.; Lin, A. Y. W.; Marks, L. D. (2019). 2356: 1484: 1462: 1428: 1373: 8571:"Triboelectric Noise in Medical Cables and Wires" 7912: 6801:Stachowiak, Gwidon; Batchelor, Andrew W. (2011). 6624: 6173:McCarty, Logan S.; Whitesides, George M. (2008). 6172: 4923: 3892:20.500.11820/f416715b-eaa4-4051-a054-a6cd527a6066 3038: 2607:Gilbert, William; Mottelay, Paul Fleury (1991) . 2596:(2nd ed.). London: J. Senex & W. Taylor. 2542:Ancient Carved Ambers in the J. Paul Getty Museum 2401:New York: J. Wiley. pp. 1–45, Chapters 1-2. 1929:, the energy to remove an electron from a surface 944:Timeline of electromagnetism and classical optics 8722: 8586:The Journal of the Acoustical Society of America 7516: 7027:Schnurmann, Robert; Warlow-Davies, Eric (1942). 6551: 5968:. Cambridge University Press. pp. 296–354. 5885: 5289: 4973:"The Unpredictability of Electrostatic Charging" 3797:"Spontaneous tribocharging of similar materials" 1523: 1285:Triboelectric charge densities for the polymers. 1062:. Another key development was in the 1730s when 7720: 7615:"Film Flows in the Presence of Electric Fields" 6719:Industrial & Engineering Chemistry Research 6552:Pence, S.; Novotny, V. J.; Diaz, A. F. (1994). 5166: 4850: 4639:"When Flexoelectricity Drives Triboelectricity" 4557:"Does Flexoelectricity Drive Triboelectricity?" 4342: 3795:Shinbrot, T.; Komatsu, T. S.; Zhao, Q. (2008). 2656: 2606: 1506: 1108:Much of this work predates an understanding of 8035: 7451: 6331: 6329: 6253:"Electrostatic electrochemistry at insulators" 6133: 5436: 5381: 5223: 5059: 4470:Liu, Guangming; Liu, Jun; Dou, Wenjie (2022). 3323: 1463:{\displaystyle \mathbf {P} \cdot \mathbf {n} } 1293:Triboelectric charge densities for the oxides. 1215: 8629:"The Goods: Shocking News About Seats, Tires" 8521: 8357:National Aeronautics and Space Administration 8353:"General Aviation Aircraft Reliability Study" 6854: 6463:"Triboelectric charging of powders: A review" 6030:"Triboelectric charging of powders: A review" 5009: 4554: 4396: 3530:"The Electrification of Insulating Materials" 3466:"Contact electrification-why is it variable?" 2955:Proceedings of the Physical Society of London 1775:United States Environmental Protection Agency 1612:materials that promote the transfer of ions. 1607:. The higher conductivity allows for greater 1124:effects, as well as including models such as 851: 8398:"Helicopter Static-Electricity Measurements" 7870:Journal of Geophysical Research: Atmospheres 7612: 6214:"An ion transfer model for contact charging" 4699: 4211: 3687: 3463: 3416:Bowden, Frank Philip; Tabor, David (2001) . 3324:Ashcroft, Neil W.; Mermin, N. David (1976). 3204: 3147: 2767: 2765: 2611:(Facsimile ed.). New York: Dover publ. 2467:"The Prenatal History of Electrical Science" 2464: 2422: 2197: 1313: 8036:Sandu, Ioana; Resticcia, Francesco (2021). 7669: 7404: 6751: 6384: 6326: 4924:Willatzen, Morten; Lin Wang, Zhong (2018). 4397:Alicki, Robert; Jenkins, Alejandro (2020). 4214:"Charge transfer in metal/polymer contacts" 3415: 3253: 2465:Roller, Duane; Roller, Duane H. D. (1953). 2348: 2314:Annual Review of Astronomy and Astrophysics 1923:, light associated with sliding or contacts 1917:, science of friction, lubrication and wear 1839:Antistatic belts on a car in Russia in 2014 1528:In the latter half of the 20th century the 1112:of energies levels with position, and also 8654:"Halfords Anti Static Strip | Halfords UK" 8097:IEEE Transactions on Industry Applications 7519:"Tuning the Charge of Sliding Water Drops" 7259: 7135:Proceedings of the Royal Society of London 7076:"Adhesion and charging of quartz surfaces" 6900: 6898: 6752:Popova, Elena; Popov, Valentin L. (2015). 6212:Diaz, A. F.; Fenzel-Alexander, D. (1993). 5659:"Adhesion and charging of quartz surfaces" 4636: 3688:Burgo, Thiago A. L.; Erdemir, Ali (2014). 858: 844: 62: 8285:Fabric Filter Bag Leak Detection Guidance 7930: 7889: 7738: 7721:Grosshans, Holger; Jantač, Simon (2023). 7638: 7550: 7477: 7146: 7003: 6946: 6834:. Springer Science & Business Media. 6769: 6689: 6494: 6102: 6083:Theoretical and Applied Mechanics Letters 6061: 5963: 5807: 5797: 5748: 5565:"Theory of Metal Surfaces: Work Function" 5512: 5350: 5266: 5200: 5143: 5010:Lacks, Daniel J.; Shinbrot, Troy (2019). 4868: 4772: 4572: 4487: 4469: 4414: 4368: 4287: 4270:Kok, Jasper F.; Lacks, Daniel J. (2009). 3890: 3880: 3744: 3553: 3279: 3230: 3173: 3121: 3021: 2819: 2771: 2762: 2253: 2200:"Electrostatics in pharmaceutical solids" 2068: 2015:Advances in Colloid and Interface Science 1982: 1793:Static wicks on a Winglet Airbus A319-132 1757:Static electricity hazard sign (ISO 7010) 1520:support both, and others just electrons. 27:Charge transfer due to contact or sliding 7580:Journal of the American Chemical Society 7573: 7180:"Ueber die Electricität der Wasserfälle" 6299: 6077:Xie, Li; Li, Junjie; Liu, Yakui (2020). 6076: 5609: 5562: 5332: 5117: 4803: 4269: 3587: 3527: 2806:(in Latin). Typis Ioannis Iacobi Adleri. 2741: 2587: 2423:Iversen, Paul; Lacks, Daniel J. (2012). 2418: 2416: 2394: 2311: 2239: 1834: 1788: 1752: 1664: 1621:Friction and adhesion from tribocharging 1401: 1317: 1296: 1288: 1280: 1245: 1170: 1139: 1018: 31: 8583: 8395: 8369: 7866:"Electrostatic force on saltating sand" 7128: 6895: 6827: 6581: 6579: 6547: 6545: 6433: 6251:Liu, Chongyang; Bard, Allen J. (2008). 6250: 6179:Angewandte Chemie International Edition 5996: 5494: 4977:Angewandte Chemie International Edition 4526: 3694:Angewandte Chemie International Edition 3044: 2995: 2824:. New York: Scribner. pp. 352–353. 2776:(Repr ed.). New York: Dover Publ. 2354: 1857:, machine to produce static electricity 1241: 607:Electromagnetism and special relativity 14: 8723: 7816: 7177: 7073: 6976:Journal of the Royal Society Interface 5916: 5774:"The emancipation of flexoelectricity" 5710: 5708: 5656: 5558: 5556: 5490: 5488: 5333:Pan, Shuaihang; Zhang, Zhinan (2019). 5169:"Quantifying the triboelectric series" 5113: 5111: 5055: 5053: 4804:Pan, Shuaihang; Zhang, Zhinan (2017). 4632: 4630: 4628: 4626: 4624: 4392: 4390: 4388: 4386: 4384: 4382: 4380: 4265: 4263: 4186: 4131: 4104: 4077: 4034: 4030: 4028: 4001:Contact and frictional electrification 3998: 3932: 3683: 3681: 3679: 3418:The friction and lubrication of solids 3411: 3409: 3407: 3405: 3319: 3317: 3315: 3313: 3311: 3309: 3307: 2944: 2942: 2940: 2900: 2898: 2858: 2856: 2834: 2799: 2795: 2793: 2631: 2390: 2388: 2386: 2384: 2334:10.1146/annurev.astro.46.060407.145152 2049:International Journal of Pharmaceutics 2008: 1628:is a retarding force due to different 1228:Local curvature, strain and roughness. 8626: 8568: 8495: 8258:"Static Electricity Onboard | Seably" 8162: 7777: 7314: 6631:Journal of Physics D: Applied Physics 5443:Journal of Physics D: Applied Physics 5388:Journal of Physics D: Applied Physics 5066:Journal of Physics D: Applied Physics 4970: 4550: 4548: 4546: 4544: 4542: 4218:Journal of Physics D: Applied Physics 4080:"Contact charging between insulators" 3994: 3992: 3990: 3988: 3986: 3984: 3928: 3926: 3850: 3848: 3846: 3635: 3633: 3631: 3583: 3581: 3523: 3521: 3519: 3517: 3515: 3470:Journal of Physics D: Applied Physics 3357: 3355: 3353: 3351: 3349: 3347: 3345: 3205:Shaw, P. E.; Hanstock, R. F. (1930). 3148:Shaw, P. E.; Hanstock, R. F. (1930). 2904: 2566: 2413: 2307: 2305: 2235: 2233: 2098: 2096: 2042: 2040: 2038: 2036: 2004: 2002: 1952: 1950: 1948: 1946: 1944: 1942: 1550:University of California, Los Angeles 627:Maxwell equations in curved spacetime 8687:Video of a charged rod demonstration 8402:Defence Technical Information Center 8070:10.1016/j.polymertesting.2015.01.009 7953: 7357: 7224: 6625:Awakuni, Y; Calderwood, J H (1972). 6576: 6542: 5741:10.1146/annurev-matsci-071312-121634 5437:Lowell, J.; Truscott, W. S. (1986). 5382:Lowell, J.; Truscott, W. S. (1986). 4399:"Quantum Theory of Triboelectricity" 4107:"The charging of insulator surfaces" 3639: 3361: 3254:Shaw, P. E.; Leavery, E. W. (1932). 3095: 2948: 2862: 1956: 1899:, polarization due to linear strains 1660: 1128:for contacts based upon the work of 8627:Ralph, Vartabedian (29 July 1994). 8282:Midwest Research Institute (1997). 7640:10.1146/annurev-fluid-122316-044531 7613:Papageorgiou, Demetrios T. (2019). 7033:Proceedings of the Physical Society 5721:Annual Review of Materials Research 5705: 5553: 5485: 5108: 5050: 5003: 4964: 4844: 4621: 4377: 4260: 4025: 3676: 3642:Proceedings of the Physical Society 3402: 3364:"Theory of contact electrification" 3304: 2989: 2937: 2895: 2853: 2790: 2581: 2381: 1406:Capacitor schematic with dielectric 1398:Capacitor charge compensation model 1333:is not flat due to a difference in 1093:published in his 1757 PhD thesis a 24: 8301: 8039:Static Electricity Incident Review 5283: 5160: 4700:Fukada, E.; Fowler, J. F. (1958). 4539: 4343:Born, M.; Oppenheimer, R. (1927). 3981: 3923: 3843: 3628: 3578: 3512: 3464:Lowell, J.; Akande, A. R. (1988). 3368:British Journal of Applied Physics 3342: 2822:Dictionary of Scientific Biography 2302: 2230: 2093: 2033: 1999: 1939: 25: 8757: 8697:Video demonstrating tribocharging 8674: 8469: 8370:Tallman, Jill (11 January 2019). 8228:10.1016/j.engfailanal.2021.105917 7260:Helseth, L. E.; Wen, H Z (2017). 7231:. Berlin / Heidelberg: Springer. 5964:Griffiths, David (29 June 2017). 4345:"Zur Quantentheorie der Molekeln" 4212:Akande, A. R.; Lowell, J (1987). 3763:10.1103/PhysRevMaterials.2.035602 2865:"XLII. On frictional electricity" 1784: 948:History of electromagnetic theory 8646: 8620: 8577: 8562: 8515: 8496:Shiga, David (27 October 2009). 8489: 8463: 8408: 8396:Siebert, Jame M. (1 June 1962). 8389: 8363: 8344: 8321: 8295: 8275: 8250: 8203: 8156: 8131: 8084: 8049: 8029: 7982: 7947: 7906: 7857: 7810: 7771: 7714: 7663: 7619:Annual Review of Fluid Mechanics 7606: 7567: 7510: 7445: 7398: 7351: 7308: 7253: 7218: 7171: 7122: 7067: 7020: 6963: 6848: 6821: 6794: 6745: 6706: 6665: 6618: 6511: 6434:Demming, Anna (6 October 2020). 5717:"Flexoelectric Effect in Solids" 4193:(PhD). University of Cambridge. 2996:Shaw, P. E.; Jex, C. S. (1928). 2842:Annales de chimie et de physique 2590:"Physico-mechanical experiments" 1478: 1456: 1448: 1422: 8703:Video on Triboelectric Charging 7454:"A Liquid Triboelectric Series" 7411:Journal of Geophysical Research 7317:Journal of Geophysical Research 6454: 6427: 6244: 6205: 6166: 6127: 6070: 6021: 5990: 5966:Introduction to Electrodynamics 5957: 5910: 5879: 5832: 5765: 5650: 5603: 5430: 5375: 5326: 5217: 4917: 4797: 4748: 4693: 4520: 4463: 4336: 4205: 4180: 4125: 4098: 4071: 3720: 3457: 3434: 3247: 3198: 3089: 2828: 2735: 2689: 2650: 2625: 2600: 2530: 2517:Wiktionary, the free dictionary 2505: 1374:Electromechanical contributions 39:clinging to a cat's fur due to 8713:which has the same meaning as 8528:Nature Reviews Methods Primers 8524:"Triboelectric nanogenerators" 5563:Lang, N. D.; Kohn, W. (1971). 5120:"Triboelectricity in Polymers" 5086:10.1088/0022-3727/47/21/215501 4591:10.1103/PhysRevLett.123.116103 4433:10.1103/PhysRevLett.125.186101 2657:de V. Heathcote, N.H. (1950). 2272:10.1103/physrevlett.100.014501 2191: 2169: 2143: 1748: 1206:Born–Oppenheimer approximation 952:Electric charge § History 13: 1: 7778:Rudge, W. A. Douglas (1912). 7184:Annalen der Physik und Chemie 6873:10.1021/acsenergylett.1c01019 6604:10.1016/S0304-3886(02)00137-7 6536:10.1016/S0304-3886(02)00137-7 4791:10.1016/S1296-2147(01)01218-5 4119:10.1016/S0304-3886(01)00106-1 4092:10.1016/S0304-3886(97)00009-0 2772:Whittaker, Edmund T. (1989). 2632:Knight, Thomas Brown (1672). 2577:– via Internet Archive. 2061:10.1016/j.ijpharm.2006.11.005 1933: 1548:and his collaborators at the 1524:Thermodynamic irreversibility 1250:A simple triboelectric series 1166:Kelvin probe force microscope 632:Relativistic electromagnetism 8216:Engineering Failure Analysis 8007:10.1016/j.elstat.2020.103513 7968:10.1016/j.elstat.2009.01.016 7919:Geophysical Research Letters 7727:Chemical Engineering Journal 7535:10.1021/acs.langmuir.2c00941 6691:10.1016/j.elstat.2021.103605 6467:Chemical Engineering Science 6152:10.1016/j.elstat.2021.103582 6034:Chemical Engineering Science 6015:10.1016/j.powtec.2009.11.008 5904:10.1016/j.elstat.2012.11.021 4950:10.1016/j.nanoen.2018.08.015 4887:10.1021/acs.nanolett.2c00107 4663:10.1021/acs.nanolett.2c00240 4506:10.1016/j.nanoen.2022.107034 3588:Richards, Harold F. (1920). 2742:Keithley, Joseph F. (1999). 2441:10.1016/j.elstat.2012.03.002 2204:Chemical Engineering Science 2177:"Collins English Dictionary" 2027:10.1016/0001-8686(79)80003-2 1507:Electron and/or ion transfer 1485:{\displaystyle \mathbf {n} } 1429:{\displaystyle \mathbf {P} } 1060:Francis Hauksbee the Younger 972: 7: 8372:"How It Works: Static Wick" 7405:Illingworth, A. J. (1985). 7266:European Journal of Physics 5923:American Journal of Physics 5531:10.1209/0295-5075/129/10006 3590:"Electrification by Impact" 2800:Wilcke, Johan Carl (1757). 2471:American Journal of Physics 1848: 1615: 1590: 1571:analog of the mechanism of 1350:and Liang. This leads to a 1216:Explanations and mechanisms 10: 8762: 8540:10.1038/s43586-023-00220-3 7823:Journal of Applied Physics 7364:Journal of Applied Physics 7053:10.1088/0959-5309/54/1/303 6104:10.1016/j.taml.2020.01.047 5997:Ireland, Peter M. (2010). 5845:Journal of Applied Physics 5778:Journal of Applied Physics 5610:Peterson, John W. (1949). 5495:Persson, B. N. J. (2020). 5463:10.1088/0022-3727/19/7/018 5408:10.1088/0022-3727/19/7/017 5251:10.1038/s41467-020-15926-1 5193:10.1038/s41467-019-09461-x 4810:Journal of Applied Physics 4306:10.1103/PhysRevE.79.051304 4238:10.1088/0022-3727/20/5/002 4105:Bailey, Adrian G. (2001). 3821:10.1209/0295-5075/83/24004 3662:10.1088/0959-5309/39/1/344 3490:10.1088/0022-3727/21/1/018 3388:10.1088/0508-3443/4/S2/301 2975:10.1088/1478-7814/27/1/317 2659:"Guericke's sulphur globe" 2588:Hauksbee, Francis (1719). 2359:Dictionary of Word Origins 1731: 1014:Philosophical Transactions 1002:Eustathius of Thessalonica 941: 937: 357:Liénard–Wiechert potential 8441:10.1038/s41567-019-0728-9 8163:Pratt, Thomas H. (1994). 7995:Journal of Electrostatics 7956:Journal of Electrostatics 7796:10.1080/14786440508637281 7757:10.1016/j.cej.2022.140918 7692:10.1080/17461390500402657 7574:Langmuir, Irving (1938). 7237:10.1007/978-3-642-88243-2 7225:Loeb, Leonard B. (1958). 6771:10.1007/s40544-015-0074-6 6678:Journal of Electrostatics 6651:10.1088/0022-3727/5/5/323 6592:Journal of Electrostatics 6524:Journal of Electrostatics 6487:10.1016/j.ces.2010.07.005 6140:Journal of Electrostatics 6054:10.1016/j.ces.2010.07.005 5974:10.1017/9781108333511.008 5892:Journal of Electrostatics 5636:10.1103/PhysRev.76.1882.2 5501:EPL (Europhysics Letters) 5352:10.1007/s40544-018-0217-7 5312:10.1080/00018738000101466 5028:10.1038/s41570-019-0115-1 4971:Lacks, Daniel J. (2012). 4111:Journal of Electrostatics 4084:Journal of Electrostatics 4078:Castle, G. S. P. (1997). 4057:10.1080/00107516108205281 3801:EPL (Europhysics Letters) 3733:Physical Review Materials 3528:Jamieson, Walter (1910). 2923:10.1080/14786440208635305 2905:Jones, W. Morris (1915). 2881:10.1080/14786440408636622 2820:Gillispie, C. C. (1976). 2675:10.1080/00033795000201981 2538:"The Properties of Amber" 2429:Journal of Electrostatics 2365:The Philosophical Library 2224:10.1016/j.ces.2014.05.037 1741:owing to the danger of a 1499:) or bending of samples ( 1388:density functional theory 1314:Work function differences 1102:Jean Claude Eugène Péclet 622:Mathematical descriptions 332:Electromagnetic radiation 322:Electromagnetic induction 262:Magnetic vector potential 257:Magnetic scalar potential 8681:The return of Static Man 8569:Molex (29 August 2014). 8109:10.1109/tia.2013.2251991 7286:10.1088/1361-6404/aa82f7 7204:10.1002/andp.18922820805 7178:Lenard, Philipp (1892). 6731:10.1021/acs.iecr.7b02328 5016:Nature Reviews Chemistry 4370:10.1002/andp.19273892002 2748:. New York: IEEE Press. 2155:Education.MRSEC.Wisc.edu 1575:originally described by 1573:rotational superradiance 1056:electrostatic generators 961:(ἤλεκτρον) is Greek for 8691:University of Minnesota 8476:www.chinesestandard.net 8169:Process Safety Progress 7431:10.1029/JD090iD04p06026 7337:10.1029/jz070i010p02291 5589:10.1103/PhysRevB.3.1215 4561:Physical Review Letters 4529:Journal of Physics-USSR 4403:Physical Review Letters 4150:10.1126/science.1142325 3882:10.1126/science.1201512 2407:10.5962/bhl.title.19628 2395:Benjamin, Park (1898). 2355:Shipley, J. T. (1945). 2326:2008ARA&A..46...21B 2242:Physical Review Letters 2009:Freund, Thomas (1979). 1861:Electrostatic induction 1855:Electrostatic generator 1699:Workman–Reynolds effect 1328:electrostatic potential 1089:At about the same time 930:. It can also increase 913:contact electrification 172:Electrostatic induction 167:Electrostatic discharge 7817:Kunkel, W. B. (1950). 7479:10.1002/adma.202300699 7228:Static Electrification 7148:10.1098/rspl.1867.0019 7100:10.1098/rspa.1955.0182 7074:Harper, W. R. (1955). 6988:10.1098/rsif.2014.0371 6191:10.1002/anie.200701812 5917:Fisher, L. H. (1951). 5851:(8): 084909–084909–5. 5683:10.1098/rspa.1955.0182 5657:Harper, W. R. (1955). 4989:10.1002/anie.201202896 4132:Schein, L. B. (2007). 3999:Harper, W. R. (1998). 3959:10.1098/rspa.1951.0019 3933:Harper, W. E. (1951). 3706:10.1002/anie.201406541 3614:10.1103/PhysRev.16.290 3281:10.1098/rspa.1932.0199 3232:10.1098/rspa.1930.0126 3175:10.1098/rspa.1930.0125 3123:10.1098/rspa.1929.0004 3067:10.1098/rspa.1928.0038 3023:10.1098/rspa.1928.0037 2835:Peclet, M. E. (1834). 2713:10.1098/rstl.1733.0040 2707:(431): 258–266. 1733. 1984:10.1098/rspa.1917.0046 1840: 1794: 1758: 1670: 1532:school led by chemist 1486: 1464: 1430: 1407: 1338: 1302: 1294: 1286: 1251: 1176: 1110:solid state variations 1027: 880:triboelectric charging 602:Electromagnetic tensor 44: 8181:10.1002/prs.680130302 6804:Engineering Tribology 5231:Nature Communications 5173:Nature Communications 2863:Owen, Morris (1909). 1838: 1792: 1756: 1688:spray electrification 1668: 1595:Generally, increased 1561:non-equilibrium state 1487: 1465: 1431: 1405: 1321: 1300: 1292: 1284: 1249: 1174: 1140:Basic characteristics 1120:and behavior such as 1048:Pseudodoxia Epidemica 1022: 932:friction and adhesion 595:Covariant formulation 387:Synchrotron radiation 327:Electromagnetic pulse 317:Electromagnetic field 35: 8731:Electrical phenomena 8470:Zheng, Wayne (ed.). 7932:10.1002/2016GL069491 7358:Aziz, M. J. (1982). 7129:Thomson, W. (1868). 6828:Persson, Bo (2000). 4037:Contemporary Physics 3328:. Cengage Learning. 3096:Shaw, P. W. (1929). 2949:Shaw, P. E. (1914). 2115:(109): 64280–64298. 1957:Shaw, P. E. (1917). 1903:Polarization density 1873:Electrohydrodynamics 1722:electrohydrodynamics 1609:charge recombination 1605:surface conductivity 1514:George M. Whitesides 1474: 1444: 1438:bound surface charge 1418: 1413:polarization density 1344:mean inner potential 1270:. The triboelectric 1242:Triboelectric series 1095:triboelectric series 884:triboelectrification 872:triboelectric effect 637:Stress–energy tensor 562:Reluctance (complex) 307:Displacement current 8598:1970ASAJ...48..714D 8433:2020NatPh..16..225S 7882:1998JGR...103.8997S 7835:1950JAP....21..820K 7749:2023ChEnJ.45540918G 7684:2005AdPhy..54..263C 7672:Advances in Physics 7631:2019AnRFM..51..155P 7592:10.1021/ja01272a054 7470:2023AdM....3500699Y 7423:1985JGR....90.6026I 7376:1982JAP....53.1158A 7329:1965JGR....70.2291G 7278:2017EJPh...38e5804H 7196:1892AnP...282..584L 7092:1955RSPSA.231..388H 7045:1942PPS....54...14S 6923:2013NatSR...3E2384B 6643:1972JPhD....5.1038A 6570:10.1021/la00014a042 6479:2010ChEnS..65.5781M 6405:2018RScI...89a3901C 6362:10.1038/nature07378 6354:2008Natur.455.1089C 6348:(7216): 1089–1092. 6269:2008NatMa...7..505L 6230:10.1021/la00028a021 6095:2020TAML...10..276X 6046:2010ChEnS..65.5781M 5935:1951AmJPh..19...73F 5857:2012JAP...112h4909S 5790:2022JAP...131b0401A 5733:2013AnRMS..43..387Z 5675:1955RSPSA.231..388H 5628:1949PhRv...76.1882P 5581:1971PhRvB...3.1215L 5523:2020EL....12910006P 5455:1986JPhD...19.1281L 5400:1986JPhD...19.1273L 5304:1980AdPhy..29..947L 5292:Advances in Physics 5243:2020NatCo..11.2093Z 5185:2019NatCo..10.1427Z 5136:1962Natur.196..474H 5118:Henniker J (1962). 5078:2014JPhD...47u5501X 4942:2018NEne...52..517W 4879:2022NanoL..22.3914O 4822:2017JAP...122n4302P 4783:2001CRASP...2..761G 4718:1958Natur.181..693F 4655:2022NanoL..22.3939M 4583:2019PhRvL.123k6103M 4498:2022NEne...9607034L 4425:2020PhRvL.125r6101A 4361:1927AnP...389..457B 4298:2009PhRvE..79e1304K 4230:1987JPhD...20..565A 4187:Elsdon, R. (1975). 4144:(5831): 1572–1573. 4049:1961ConPh...2..345H 4003:. Laplacian Press. 3951:1951RSPSA.205...83H 3873:2011Sci...333..308B 3813:2008EL.....8324004S 3755:2018PhRvM...2c5602L 3700:(45): 12101–12105. 3654:1926PPS....39..449S 3606:1920PhRv...16..290R 3546:1910Natur..83..189J 3482:1988JPhD...21..125L 3380:1953BJAP....4S...1V 3362:Vick, F.A. (1953). 3326:Solid State Physics 3272:1932RSPSA.138..502S 3223:1930RSPSA.128..480S 3166:1930RSPSA.128..474S 3114:1929RSPSA.122...49S 3059:1928RSPSA.118..108S 3014:1928RSPSA.118...97S 2967:1914PPSL...27..208S 2483:1953AmJPh..21..343R 2264:2008PhRvL.100a4501K 2216:2015ChEnS.125..225W 2121:2014RSCAd...464280G 2011:"Tribo-electricity" 1975:1917RSPSA..94...16S 1885:Mechanoluminescence 1638:elastic deformation 1585:electromotive force 1130:Frank Philip Bowden 1034:in his publication 1023:Generator built by 928:planetary formation 917:contact electricity 552:Magnetomotive force 437:Electromotive force 407:Alternating current 342:Jefimenko equations 302:Cyclotron radiation 8333:, 29 November 2017 7458:Advanced Materials 6911:Scientific Reports 6861:ACS Energy Letters 6309:Adhesion of Solids 4349:Annalen der Physik 4199:10.17863/CAM.16064 3446:, 6 September 2012 2638:. pp. 82–86. 2151:"Triboelectricity" 2129:10.1039/C4RA09604E 1909:Static electricity 1841: 1795: 1759: 1671: 1630:energy dissipation 1540:are fundamentally 1482: 1460: 1426: 1408: 1366:, also called the 1339: 1303: 1295: 1287: 1252: 1177: 1118:quantum tunnelling 1028: 904:static electricity 400:Electrical network 237:Gauss magnetic law 202:Static electricity 162:Electric potential 45: 41:static electricity 8711:electron affinity 8633:Los Angeles Times 8606:10.1121/1.1912194 8308:www.auburnsys.com 8143:www.opwglobal.com 7925:(12): 6103–6110. 7891:10.1029/98jd00278 7876:(D8): 8997–9001. 7843:10.1063/1.1699765 7529:(19): 6224–6230. 7323:(10): 2291–2300. 7246:978-3-642-88245-6 7086:(1186): 388–403. 6931:10.1038/srep02384 6841:978-3-540-67192-3 6814:978-0-08-053103-8 6725:(35): 9839–9845. 6473:(22): 5781–5807. 6413:10.1063/1.5006811 6393:Rev. Sci. Instrum 6319:978-1-4615-8191-8 6185:(12): 2188–2207. 6040:(22): 5781–5807. 6003:Powder Technology 5983:978-1-108-33351-1 5943:10.1119/1.1932714 5865:10.1063/1.4761967 5799:10.1063/5.0079319 5669:(1186): 388–403. 5622:(12): 1882–1883. 5569:Physical Review B 4983:(28): 6822–6823. 4863:(10): 3914–3921. 4830:10.1063/1.5006634 4712:(4610): 693–694. 4649:(10): 3939–3945. 4276:Physical Review E 3867:(6040): 308–312. 3427:978-0-19-850777-2 3335:978-0-03-083993-1 2783:978-0-486-26126-3 2755:978-0-7803-1193-0 2663:Annals of Science 2644:10.1037/13887-000 2618:978-0-486-26761-6 2491:10.1119/1.1933449 2374:978-0-88029-751-6 1921:Triboluminescence 1825:energy harvesting 1661:Liquids and gases 1557:Alejandro Jenkins 1538:triboluminescence 1518:Laurence D. Marks 1368:contact potential 1260:Johan Carl Wilcke 1185:electron affinity 1183:(also called the 1091:Johan Carl Wilcke 1084:Benjamin Franklin 1052:Otto von Guericke 1040:Sir Thomas Browne 1006:king of the Goths 967:Thales of Miletus 868: 867: 567:Reluctance (real) 537:Gyrator–capacitor 482:Resonant cavities 372:Maxwell equations 37:Styrofoam peanuts 16:(Redirected from 8753: 8669: 8668: 8666: 8664: 8658:www.halfords.com 8650: 8644: 8643: 8641: 8639: 8624: 8618: 8617: 8581: 8575: 8574: 8566: 8560: 8559: 8519: 8513: 8512: 8510: 8508: 8493: 8487: 8486: 8484: 8482: 8467: 8461: 8460: 8412: 8406: 8405: 8393: 8387: 8386: 8384: 8382: 8367: 8361: 8360: 8348: 8342: 8341: 8340: 8338: 8325: 8319: 8318: 8316: 8314: 8299: 8293: 8292: 8290: 8279: 8273: 8272: 8270: 8268: 8254: 8248: 8247: 8207: 8201: 8200: 8160: 8154: 8153: 8151: 8149: 8135: 8129: 8128: 8103:(3): 1113–1118. 8088: 8082: 8081: 8053: 8047: 8046: 8044: 8033: 8027: 8026: 7986: 7980: 7979: 7962:(2–3): 242–246. 7951: 7945: 7944: 7934: 7910: 7904: 7903: 7893: 7861: 7855: 7854: 7814: 7808: 7807: 7790:(137): 852–855. 7775: 7769: 7768: 7742: 7718: 7712: 7711: 7667: 7661: 7660: 7642: 7610: 7604: 7603: 7586:(5): 1190–1194. 7571: 7565: 7564: 7554: 7514: 7508: 7507: 7481: 7464:(26): e2300699. 7449: 7443: 7442: 7402: 7396: 7395: 7384:10.1063/1.329867 7370:(2): 1158–1168. 7355: 7349: 7348: 7312: 7306: 7305: 7257: 7251: 7250: 7222: 7216: 7215: 7175: 7169: 7168: 7150: 7126: 7120: 7119: 7071: 7065: 7064: 7024: 7018: 7017: 7007: 6967: 6961: 6960: 6950: 6902: 6893: 6892: 6867:(8): 2792–2799. 6852: 6846: 6845: 6825: 6819: 6818: 6798: 6792: 6791: 6773: 6749: 6743: 6742: 6710: 6704: 6703: 6693: 6669: 6663: 6662: 6637:(5): 1038–1045. 6622: 6616: 6615: 6583: 6574: 6573: 6549: 6540: 6539: 6515: 6509: 6508: 6498: 6458: 6452: 6451: 6449: 6447: 6431: 6425: 6424: 6388: 6382: 6381: 6333: 6324: 6323: 6303: 6297: 6296: 6277:10.1038/nmat2160 6257:Nature Materials 6248: 6242: 6241: 6224:(4): 1009–1015. 6209: 6203: 6202: 6170: 6164: 6163: 6131: 6125: 6124: 6106: 6074: 6068: 6067: 6065: 6025: 6019: 6018: 5994: 5988: 5987: 5961: 5955: 5954: 5914: 5908: 5907: 5883: 5877: 5876: 5836: 5830: 5829: 5811: 5801: 5769: 5763: 5762: 5752: 5712: 5703: 5702: 5654: 5648: 5647: 5607: 5601: 5600: 5575:(4): 1215–1223. 5560: 5551: 5550: 5516: 5492: 5483: 5482: 5449:(7): 1281–1298. 5434: 5428: 5427: 5394:(7): 1273–1280. 5379: 5373: 5372: 5354: 5330: 5324: 5323: 5287: 5281: 5280: 5270: 5221: 5215: 5214: 5204: 5164: 5158: 5157: 5147: 5145:10.1038/196474a0 5115: 5106: 5105: 5057: 5048: 5047: 5007: 5001: 5000: 4968: 4962: 4961: 4921: 4915: 4914: 4872: 4848: 4842: 4841: 4801: 4795: 4794: 4776: 4752: 4746: 4745: 4726:10.1038/181693b0 4697: 4691: 4690: 4634: 4619: 4618: 4576: 4552: 4537: 4536: 4524: 4518: 4517: 4491: 4467: 4461: 4460: 4418: 4394: 4375: 4374: 4372: 4340: 4334: 4333: 4291: 4267: 4258: 4257: 4209: 4203: 4202: 4184: 4178: 4177: 4129: 4123: 4122: 4113:. 51–52: 82–90. 4102: 4096: 4095: 4086:. 40–41: 13–20. 4075: 4069: 4068: 4032: 4023: 4022: 3996: 3979: 3978: 3945:(1080): 83–103. 3930: 3921: 3920: 3894: 3884: 3852: 3841: 3840: 3792: 3783: 3782: 3748: 3724: 3718: 3717: 3685: 3674: 3673: 3637: 3626: 3625: 3585: 3576: 3575: 3557: 3555:10.1038/083189a0 3525: 3510: 3509: 3461: 3455: 3454: 3453: 3451: 3438: 3432: 3431: 3413: 3400: 3399: 3359: 3340: 3339: 3321: 3302: 3301: 3283: 3266:(836): 502–514. 3251: 3245: 3244: 3234: 3217:(808): 480–487. 3202: 3196: 3195: 3177: 3160:(808): 474–480. 3145: 3136: 3135: 3125: 3093: 3087: 3086: 3053:(779): 108–113. 3042: 3036: 3035: 3025: 2993: 2987: 2986: 2946: 2935: 2934: 2917:(170): 261–274. 2902: 2893: 2892: 2875:(100): 457–465. 2860: 2851: 2850: 2832: 2826: 2825: 2817: 2808: 2807: 2797: 2788: 2787: 2769: 2760: 2759: 2739: 2733: 2732: 2693: 2687: 2686: 2654: 2648: 2647: 2629: 2623: 2622: 2604: 2598: 2597: 2585: 2579: 2578: 2564: 2553: 2552: 2550: 2548: 2534: 2528: 2527: 2526: 2524: 2519:, 26 August 2023 2509: 2503: 2502: 2462: 2453: 2452: 2420: 2411: 2410: 2392: 2379: 2378: 2362: 2352: 2346: 2345: 2309: 2300: 2299: 2257: 2237: 2228: 2227: 2195: 2189: 2188: 2186: 2184: 2173: 2167: 2166: 2164: 2162: 2147: 2141: 2140: 2100: 2091: 2090: 2072: 2055:(1–2): 149–155. 2044: 2031: 2030: 2006: 1997: 1996: 1986: 1954: 1897:Piezoelectricity 1879:Flexoelectricity 1867:Electrostriction 1692:waterfall effect 1642:rolling friction 1501:flexoelectricity 1497:piezoelectricity 1491: 1489: 1488: 1483: 1481: 1469: 1467: 1466: 1461: 1459: 1451: 1435: 1433: 1432: 1427: 1425: 1384:flexoelectricity 1380:piezoelectricity 1308:flexoelectricity 1122:Schottky barrier 1025:Francis Hauksbee 975: 908:triboelectricity 876:triboelectricity 860: 853: 846: 527:Electric machine 510:Magnetic circuit 472:Parallel circuit 462:Network analysis 427:Electric current 362:London equations 207:Triboelectricity 197:Potential energy 66: 56:Electromagnetism 47: 46: 21: 8761: 8760: 8756: 8755: 8754: 8752: 8751: 8750: 8721: 8720: 8677: 8672: 8662: 8660: 8652: 8651: 8647: 8637: 8635: 8625: 8621: 8592:(3B): 714–724. 8582: 8578: 8567: 8563: 8520: 8516: 8506: 8504: 8494: 8490: 8480: 8478: 8468: 8464: 8413: 8409: 8394: 8390: 8380: 8378: 8368: 8364: 8349: 8345: 8336: 8334: 8327: 8326: 8322: 8312: 8310: 8300: 8296: 8288: 8280: 8276: 8266: 8264: 8256: 8255: 8251: 8208: 8204: 8161: 8157: 8147: 8145: 8137: 8136: 8132: 8089: 8085: 8058:Polymer Testing 8054: 8050: 8042: 8034: 8030: 7987: 7983: 7952: 7948: 7911: 7907: 7862: 7858: 7815: 7811: 7776: 7772: 7719: 7715: 7668: 7664: 7611: 7607: 7572: 7568: 7515: 7511: 7450: 7446: 7403: 7399: 7356: 7352: 7313: 7309: 7258: 7254: 7247: 7223: 7219: 7176: 7172: 7127: 7123: 7072: 7068: 7025: 7021: 6968: 6964: 6903: 6896: 6853: 6849: 6842: 6826: 6822: 6815: 6799: 6795: 6750: 6746: 6711: 6707: 6670: 6666: 6623: 6619: 6584: 6577: 6550: 6543: 6516: 6512: 6459: 6455: 6445: 6443: 6432: 6428: 6389: 6385: 6334: 6327: 6320: 6304: 6300: 6249: 6245: 6210: 6206: 6171: 6167: 6132: 6128: 6075: 6071: 6026: 6022: 5995: 5991: 5984: 5962: 5958: 5915: 5911: 5884: 5880: 5837: 5833: 5770: 5766: 5713: 5706: 5655: 5651: 5616:Physical Review 5608: 5604: 5561: 5554: 5493: 5486: 5435: 5431: 5380: 5376: 5331: 5327: 5298:(6): 947–1023. 5288: 5284: 5222: 5218: 5165: 5161: 5116: 5109: 5058: 5051: 5008: 5004: 4969: 4965: 4922: 4918: 4849: 4845: 4802: 4798: 4753: 4749: 4698: 4694: 4635: 4622: 4553: 4540: 4525: 4521: 4468: 4464: 4395: 4378: 4355:(20): 457–484. 4341: 4337: 4268: 4261: 4210: 4206: 4185: 4181: 4130: 4126: 4103: 4099: 4076: 4072: 4033: 4026: 4011: 3997: 3982: 3931: 3924: 3853: 3844: 3793: 3786: 3725: 3721: 3686: 3677: 3638: 3629: 3594:Physical Review 3586: 3579: 3526: 3513: 3462: 3458: 3449: 3447: 3440: 3439: 3435: 3428: 3414: 3403: 3360: 3343: 3336: 3322: 3305: 3252: 3248: 3203: 3199: 3146: 3139: 3094: 3090: 3043: 3039: 3008:(779): 97–108. 2994: 2990: 2947: 2938: 2903: 2896: 2861: 2854: 2833: 2829: 2818: 2811: 2798: 2791: 2784: 2770: 2763: 2756: 2740: 2736: 2695: 2694: 2690: 2655: 2651: 2630: 2626: 2619: 2605: 2601: 2586: 2582: 2565: 2556: 2546: 2544: 2536: 2535: 2531: 2522: 2520: 2511: 2510: 2506: 2463: 2456: 2421: 2414: 2393: 2382: 2375: 2367:. p. 133. 2353: 2349: 2310: 2303: 2238: 2231: 2196: 2192: 2182: 2180: 2175: 2174: 2170: 2160: 2158: 2149: 2148: 2144: 2101: 2094: 2045: 2034: 2007: 2000: 1955: 1940: 1936: 1851: 1787: 1751: 1739:grain elevators 1734: 1715:Irving Langmuir 1686:in 1892 of the 1663: 1649:static friction 1623: 1618: 1593: 1577:Yakov Zeldovich 1565:Quantum effects 1534:Boris Derjaguin 1526: 1509: 1477: 1475: 1472: 1471: 1455: 1447: 1445: 1442: 1441: 1421: 1419: 1416: 1415: 1400: 1376: 1364:Volta potential 1316: 1244: 1218: 1189:Volta potential 1142: 1032:William Gilbert 995:Pliny the Elder 954: 940: 892:electric charge 874:(also known as 864: 835: 834: 650: 642: 641: 597: 587: 586: 542:Induction motor 512: 502: 501: 417:Current density 402: 392: 391: 382:Poynting vector 292: 290:Electrodynamics 282: 281: 277:Right-hand rule 242:Magnetic dipole 232:Biot–Savart law 222: 212: 211: 147:Electric dipole 142:Electric charge 117: 28: 23: 22: 15: 12: 11: 5: 8759: 8749: 8748: 8743: 8738: 8736:Electrostatics 8733: 8719: 8718: 8700: 8694: 8684: 8676: 8675:External links 8673: 8671: 8670: 8645: 8619: 8576: 8561: 8514: 8488: 8462: 8427:(2): 225–229. 8421:Nature Physics 8407: 8388: 8362: 8343: 8320: 8302:Parker, Earl. 8294: 8274: 8262:www.seably.com 8249: 8202: 8175:(3): 109–113. 8155: 8130: 8083: 8048: 8028: 7981: 7946: 7905: 7856: 7829:(8): 820–832. 7809: 7770: 7713: 7678:(4): 263–376. 7662: 7625:(1): 155–187. 7605: 7566: 7509: 7444: 7397: 7350: 7307: 7252: 7245: 7217: 7190:(8): 584–636. 7170: 7121: 7066: 7019: 6962: 6894: 6847: 6840: 6820: 6813: 6793: 6764:(2): 183–190. 6744: 6705: 6664: 6617: 6575: 6564:(2): 592–596. 6541: 6510: 6453: 6426: 6383: 6325: 6318: 6298: 6263:(6): 505–509. 6243: 6204: 6165: 6126: 6089:(4): 276–285. 6069: 6020: 6009:(2): 199–210. 5989: 5982: 5956: 5909: 5898:(3): 396–399. 5878: 5831: 5764: 5727:(1): 387–421. 5704: 5649: 5602: 5552: 5484: 5429: 5374: 5325: 5282: 5216: 5159: 5107: 5072:(21): 215501. 5049: 5022:(8): 465–476. 5002: 4963: 4916: 4843: 4816:(14): 144302. 4796: 4767:(5): 761–774. 4747: 4692: 4620: 4567:(11): 116103. 4538: 4519: 4462: 4409:(18): 186101. 4376: 4335: 4259: 4224:(5): 565–578. 4204: 4179: 4124: 4097: 4070: 4043:(5): 345–359. 4024: 4009: 3980: 3922: 3842: 3784: 3719: 3675: 3648:(1): 449–452. 3627: 3600:(4): 290–304. 3577: 3511: 3476:(1): 125–137. 3456: 3433: 3426: 3401: 3341: 3334: 3303: 3246: 3197: 3137: 3108:(789): 49–58. 3088: 3037: 2988: 2961:(1): 208–216. 2936: 2894: 2852: 2827: 2809: 2789: 2782: 2761: 2754: 2734: 2688: 2669:(3): 293–305. 2649: 2624: 2617: 2599: 2580: 2554: 2529: 2504: 2477:(5): 343–356. 2454: 2435:(3): 309–311. 2412: 2380: 2373: 2347: 2301: 2229: 2190: 2179:. 23 July 2023 2168: 2142: 2092: 2032: 1998: 1969:(656): 16–33. 1937: 1935: 1932: 1931: 1930: 1924: 1918: 1912: 1906: 1900: 1894: 1888: 1882: 1876: 1870: 1864: 1858: 1850: 1847: 1846: 1845: 1833: 1832: 1828: 1821:nanogenerators 1819:Triboelectric 1817: 1813: 1810: 1806: 1786: 1785:Other examples 1783: 1782: 1781: 1778: 1771: 1767: 1750: 1747: 1743:dust explosion 1733: 1730: 1684:Philipp Lenard 1662: 1659: 1622: 1619: 1617: 1614: 1592: 1589: 1546:Seth Putterman 1525: 1522: 1508: 1505: 1480: 1458: 1454: 1450: 1424: 1399: 1396: 1375: 1372: 1326:), the vacuum 1315: 1312: 1272:charge density 1268:Zhong Lin Wang 1243: 1240: 1239: 1238: 1235: 1232: 1229: 1226: 1217: 1214: 1149:in the paper. 1141: 1138: 1096: 939: 936: 866: 865: 863: 862: 855: 848: 840: 837: 836: 833: 832: 827: 822: 817: 812: 807: 802: 797: 792: 787: 782: 777: 772: 767: 762: 757: 752: 747: 742: 737: 732: 727: 722: 717: 712: 707: 702: 697: 692: 687: 682: 677: 672: 667: 662: 657: 651: 648: 647: 644: 643: 640: 639: 634: 629: 624: 619: 617:Four-potential 614: 609: 604: 598: 593: 592: 589: 588: 585: 584: 579: 574: 569: 564: 559: 554: 549: 544: 539: 534: 532:Electric motor 529: 524: 519: 513: 508: 507: 504: 503: 500: 499: 494: 489: 487:Series circuit 484: 479: 474: 469: 464: 459: 457:Kirchhoff laws 454: 449: 444: 439: 434: 429: 424: 422:Direct current 419: 414: 409: 403: 398: 397: 394: 393: 390: 389: 384: 379: 377:Maxwell tensor 374: 369: 364: 359: 354: 349: 347:Larmor formula 344: 339: 334: 329: 324: 319: 314: 309: 304: 299: 297:Bremsstrahlung 293: 288: 287: 284: 283: 280: 279: 274: 269: 264: 259: 254: 249: 247:Magnetic field 244: 239: 234: 229: 223: 220:Magnetostatics 218: 217: 214: 213: 210: 209: 204: 199: 194: 189: 184: 179: 174: 169: 164: 159: 154: 152:Electric field 149: 144: 139: 134: 129: 124: 122:Charge density 118: 115:Electrostatics 113: 112: 109: 108: 107: 106: 101: 96: 91: 86: 81: 76: 68: 67: 59: 58: 52: 51: 50:Articles about 26: 9: 6: 4: 3: 2: 8758: 8747: 8744: 8742: 8739: 8737: 8734: 8732: 8729: 8728: 8726: 8716: 8715:work function 8712: 8708: 8704: 8701: 8698: 8695: 8692: 8688: 8685: 8682: 8679: 8678: 8659: 8655: 8649: 8634: 8630: 8623: 8615: 8611: 8607: 8603: 8599: 8595: 8591: 8587: 8580: 8572: 8565: 8557: 8553: 8549: 8545: 8541: 8537: 8533: 8529: 8525: 8518: 8503: 8502:New Scientist 8499: 8492: 8477: 8473: 8466: 8458: 8454: 8450: 8446: 8442: 8438: 8434: 8430: 8426: 8422: 8418: 8411: 8403: 8399: 8392: 8377: 8373: 8366: 8358: 8354: 8347: 8332: 8331: 8324: 8309: 8305: 8298: 8287: 8286: 8278: 8263: 8259: 8253: 8245: 8241: 8237: 8233: 8229: 8225: 8221: 8217: 8213: 8206: 8198: 8194: 8190: 8186: 8182: 8178: 8174: 8170: 8166: 8159: 8144: 8140: 8134: 8126: 8122: 8118: 8114: 8110: 8106: 8102: 8098: 8094: 8087: 8079: 8075: 8071: 8067: 8063: 8059: 8052: 8041: 8040: 8032: 8024: 8020: 8016: 8012: 8008: 8004: 8000: 7996: 7992: 7985: 7977: 7973: 7969: 7965: 7961: 7957: 7950: 7942: 7938: 7933: 7928: 7924: 7920: 7916: 7909: 7901: 7897: 7892: 7887: 7883: 7879: 7875: 7871: 7867: 7860: 7852: 7848: 7844: 7840: 7836: 7832: 7828: 7824: 7820: 7813: 7805: 7801: 7797: 7793: 7789: 7785: 7781: 7774: 7766: 7762: 7758: 7754: 7750: 7746: 7741: 7736: 7732: 7728: 7724: 7717: 7709: 7705: 7701: 7697: 7693: 7689: 7685: 7681: 7677: 7673: 7666: 7658: 7654: 7650: 7646: 7641: 7636: 7632: 7628: 7624: 7620: 7616: 7609: 7601: 7597: 7593: 7589: 7585: 7581: 7577: 7570: 7562: 7558: 7553: 7548: 7544: 7540: 7536: 7532: 7528: 7524: 7520: 7513: 7505: 7501: 7497: 7493: 7489: 7485: 7480: 7475: 7471: 7467: 7463: 7459: 7455: 7448: 7440: 7436: 7432: 7428: 7424: 7420: 7416: 7412: 7408: 7401: 7393: 7389: 7385: 7381: 7377: 7373: 7369: 7365: 7361: 7354: 7346: 7342: 7338: 7334: 7330: 7326: 7322: 7318: 7311: 7303: 7299: 7295: 7291: 7287: 7283: 7279: 7275: 7272:(5): 055804. 7271: 7267: 7263: 7256: 7248: 7242: 7238: 7234: 7230: 7229: 7221: 7213: 7209: 7205: 7201: 7197: 7193: 7189: 7185: 7181: 7174: 7166: 7162: 7158: 7154: 7149: 7144: 7140: 7136: 7132: 7125: 7117: 7113: 7109: 7105: 7101: 7097: 7093: 7089: 7085: 7081: 7077: 7070: 7062: 7058: 7054: 7050: 7046: 7042: 7038: 7034: 7030: 7023: 7015: 7011: 7006: 7001: 6997: 6993: 6989: 6985: 6981: 6977: 6973: 6966: 6958: 6954: 6949: 6944: 6940: 6936: 6932: 6928: 6924: 6920: 6916: 6912: 6908: 6901: 6899: 6890: 6886: 6882: 6878: 6874: 6870: 6866: 6862: 6858: 6851: 6843: 6837: 6833: 6832: 6824: 6816: 6810: 6806: 6805: 6797: 6789: 6785: 6781: 6777: 6772: 6767: 6763: 6759: 6755: 6748: 6740: 6736: 6732: 6728: 6724: 6720: 6716: 6709: 6701: 6697: 6692: 6687: 6683: 6679: 6675: 6668: 6660: 6656: 6652: 6648: 6644: 6640: 6636: 6632: 6628: 6621: 6613: 6609: 6605: 6601: 6597: 6593: 6589: 6582: 6580: 6571: 6567: 6563: 6559: 6555: 6548: 6546: 6537: 6533: 6530:(1–2): 3–16. 6529: 6525: 6521: 6514: 6506: 6502: 6497: 6492: 6488: 6484: 6480: 6476: 6472: 6468: 6464: 6457: 6442:. Bristol, UK 6441: 6440:Physics World 6437: 6430: 6422: 6418: 6414: 6410: 6406: 6402: 6399:(1): 013901. 6398: 6394: 6387: 6379: 6375: 6371: 6367: 6363: 6359: 6355: 6351: 6347: 6343: 6339: 6332: 6330: 6321: 6315: 6311: 6310: 6302: 6294: 6290: 6286: 6282: 6278: 6274: 6270: 6266: 6262: 6258: 6254: 6247: 6239: 6235: 6231: 6227: 6223: 6219: 6215: 6208: 6200: 6196: 6192: 6188: 6184: 6180: 6176: 6169: 6161: 6157: 6153: 6149: 6145: 6141: 6137: 6130: 6122: 6118: 6114: 6110: 6105: 6100: 6096: 6092: 6088: 6084: 6080: 6073: 6064: 6059: 6055: 6051: 6047: 6043: 6039: 6035: 6031: 6024: 6016: 6012: 6008: 6004: 6000: 5993: 5985: 5979: 5975: 5971: 5967: 5960: 5952: 5948: 5944: 5940: 5936: 5932: 5928: 5924: 5920: 5913: 5905: 5901: 5897: 5893: 5889: 5882: 5874: 5870: 5866: 5862: 5858: 5854: 5850: 5846: 5842: 5835: 5827: 5823: 5819: 5815: 5810: 5805: 5800: 5795: 5791: 5787: 5784:(2): 020401. 5783: 5779: 5775: 5768: 5760: 5756: 5751: 5746: 5742: 5738: 5734: 5730: 5726: 5722: 5718: 5711: 5709: 5700: 5696: 5692: 5688: 5684: 5680: 5676: 5672: 5668: 5664: 5660: 5653: 5645: 5641: 5637: 5633: 5629: 5625: 5621: 5617: 5613: 5606: 5598: 5594: 5590: 5586: 5582: 5578: 5574: 5570: 5566: 5559: 5557: 5548: 5544: 5540: 5536: 5532: 5528: 5524: 5520: 5515: 5510: 5506: 5502: 5498: 5491: 5489: 5480: 5476: 5472: 5468: 5464: 5460: 5456: 5452: 5448: 5444: 5440: 5433: 5425: 5421: 5417: 5413: 5409: 5405: 5401: 5397: 5393: 5389: 5385: 5378: 5370: 5366: 5362: 5358: 5353: 5348: 5344: 5340: 5336: 5329: 5321: 5317: 5313: 5309: 5305: 5301: 5297: 5293: 5286: 5278: 5274: 5269: 5264: 5260: 5256: 5252: 5248: 5244: 5240: 5236: 5232: 5228: 5220: 5212: 5208: 5203: 5198: 5194: 5190: 5186: 5182: 5178: 5174: 5170: 5163: 5155: 5151: 5146: 5141: 5137: 5133: 5130:(4853): 474. 5129: 5125: 5121: 5114: 5112: 5103: 5099: 5095: 5091: 5087: 5083: 5079: 5075: 5071: 5067: 5063: 5056: 5054: 5045: 5041: 5037: 5033: 5029: 5025: 5021: 5017: 5013: 5006: 4998: 4994: 4990: 4986: 4982: 4978: 4974: 4967: 4959: 4955: 4951: 4947: 4943: 4939: 4935: 4931: 4927: 4920: 4912: 4908: 4904: 4900: 4896: 4892: 4888: 4884: 4880: 4876: 4871: 4866: 4862: 4858: 4854: 4847: 4839: 4835: 4831: 4827: 4823: 4819: 4815: 4811: 4807: 4800: 4792: 4788: 4784: 4780: 4775: 4770: 4766: 4762: 4758: 4751: 4743: 4739: 4735: 4731: 4727: 4723: 4719: 4715: 4711: 4707: 4703: 4696: 4688: 4684: 4680: 4676: 4672: 4668: 4664: 4660: 4656: 4652: 4648: 4644: 4640: 4633: 4631: 4629: 4627: 4625: 4616: 4612: 4608: 4604: 4600: 4596: 4592: 4588: 4584: 4580: 4575: 4570: 4566: 4562: 4558: 4551: 4549: 4547: 4545: 4543: 4534: 4530: 4523: 4515: 4511: 4507: 4503: 4499: 4495: 4490: 4485: 4481: 4477: 4473: 4466: 4458: 4454: 4450: 4446: 4442: 4438: 4434: 4430: 4426: 4422: 4417: 4412: 4408: 4404: 4400: 4393: 4391: 4389: 4387: 4385: 4383: 4381: 4371: 4366: 4362: 4358: 4354: 4351:(in German). 4350: 4346: 4339: 4331: 4327: 4323: 4319: 4315: 4311: 4307: 4303: 4299: 4295: 4290: 4285: 4282:(5): 051304. 4281: 4277: 4273: 4266: 4264: 4255: 4251: 4247: 4243: 4239: 4235: 4231: 4227: 4223: 4219: 4215: 4208: 4200: 4196: 4192: 4191: 4183: 4175: 4171: 4167: 4163: 4159: 4155: 4151: 4147: 4143: 4139: 4135: 4128: 4120: 4116: 4112: 4108: 4101: 4093: 4089: 4085: 4081: 4074: 4066: 4062: 4058: 4054: 4050: 4046: 4042: 4038: 4031: 4029: 4020: 4016: 4012: 4010:1-885540-06-X 4006: 4002: 3995: 3993: 3991: 3989: 3987: 3985: 3976: 3972: 3968: 3964: 3960: 3956: 3952: 3948: 3944: 3940: 3936: 3929: 3927: 3918: 3914: 3910: 3906: 3902: 3898: 3893: 3888: 3883: 3878: 3874: 3870: 3866: 3862: 3858: 3851: 3849: 3847: 3838: 3834: 3830: 3826: 3822: 3818: 3814: 3810: 3806: 3802: 3798: 3791: 3789: 3780: 3776: 3772: 3768: 3764: 3760: 3756: 3752: 3747: 3742: 3739:(3): 035602. 3738: 3734: 3730: 3723: 3715: 3711: 3707: 3703: 3699: 3695: 3691: 3684: 3682: 3680: 3671: 3667: 3663: 3659: 3655: 3651: 3647: 3643: 3636: 3634: 3632: 3623: 3619: 3615: 3611: 3607: 3603: 3599: 3595: 3591: 3584: 3582: 3573: 3569: 3565: 3561: 3556: 3551: 3547: 3543: 3540:(2111): 189. 3539: 3535: 3531: 3524: 3522: 3520: 3518: 3516: 3507: 3503: 3499: 3495: 3491: 3487: 3483: 3479: 3475: 3471: 3467: 3460: 3445: 3444: 3437: 3429: 3423: 3419: 3412: 3410: 3408: 3406: 3397: 3393: 3389: 3385: 3381: 3377: 3374:(S2): S1–S5. 3373: 3369: 3365: 3358: 3356: 3354: 3352: 3350: 3348: 3346: 3337: 3331: 3327: 3320: 3318: 3316: 3314: 3312: 3310: 3308: 3299: 3295: 3291: 3287: 3282: 3277: 3273: 3269: 3265: 3261: 3257: 3250: 3242: 3238: 3233: 3228: 3224: 3220: 3216: 3212: 3208: 3201: 3193: 3189: 3185: 3181: 3176: 3171: 3167: 3163: 3159: 3155: 3151: 3144: 3142: 3133: 3129: 3124: 3119: 3115: 3111: 3107: 3103: 3099: 3092: 3084: 3080: 3076: 3072: 3068: 3064: 3060: 3056: 3052: 3048: 3041: 3033: 3029: 3024: 3019: 3015: 3011: 3007: 3003: 2999: 2992: 2984: 2980: 2976: 2972: 2968: 2964: 2960: 2956: 2952: 2945: 2943: 2941: 2932: 2928: 2924: 2920: 2916: 2912: 2908: 2901: 2899: 2890: 2886: 2882: 2878: 2874: 2870: 2866: 2859: 2857: 2848: 2844: 2843: 2838: 2831: 2823: 2816: 2814: 2805: 2804: 2796: 2794: 2785: 2779: 2775: 2768: 2766: 2757: 2751: 2747: 2746: 2738: 2730: 2726: 2722: 2718: 2714: 2710: 2706: 2702: 2698: 2692: 2684: 2680: 2676: 2672: 2668: 2664: 2660: 2653: 2645: 2641: 2637: 2636: 2628: 2620: 2614: 2610: 2603: 2595: 2591: 2584: 2576: 2572: 2571: 2563: 2561: 2559: 2543: 2539: 2533: 2518: 2514: 2508: 2500: 2496: 2492: 2488: 2484: 2480: 2476: 2472: 2468: 2461: 2459: 2450: 2446: 2442: 2438: 2434: 2430: 2426: 2419: 2417: 2408: 2404: 2400: 2399: 2391: 2389: 2387: 2385: 2376: 2370: 2366: 2361: 2360: 2351: 2343: 2339: 2335: 2331: 2327: 2323: 2319: 2315: 2308: 2306: 2297: 2293: 2289: 2285: 2281: 2277: 2273: 2269: 2265: 2261: 2256: 2251: 2248:(1): 014501. 2247: 2243: 2236: 2234: 2225: 2221: 2217: 2213: 2209: 2205: 2201: 2194: 2178: 2172: 2156: 2152: 2146: 2138: 2134: 2130: 2126: 2122: 2118: 2114: 2110: 2106: 2099: 2097: 2088: 2084: 2080: 2076: 2071: 2066: 2062: 2058: 2054: 2050: 2043: 2041: 2039: 2037: 2028: 2024: 2020: 2016: 2012: 2005: 2003: 1994: 1990: 1985: 1980: 1976: 1972: 1968: 1964: 1960: 1953: 1951: 1949: 1947: 1945: 1943: 1938: 1928: 1927:Work function 1925: 1922: 1919: 1916: 1913: 1910: 1907: 1904: 1901: 1898: 1895: 1892: 1891:Nanotribology 1889: 1886: 1883: 1880: 1877: 1874: 1871: 1868: 1865: 1862: 1859: 1856: 1853: 1852: 1843: 1842: 1837: 1829: 1826: 1822: 1818: 1814: 1811: 1807: 1804: 1800: 1799: 1798: 1791: 1779: 1776: 1772: 1768: 1764: 1763: 1762: 1755: 1746: 1744: 1740: 1729: 1727: 1723: 1718: 1716: 1712: 1711:double layers 1706: 1704: 1700: 1695: 1693: 1689: 1685: 1680: 1679:water dropper 1676: 1667: 1658: 1655: 1654:Coulomb force 1650: 1645: 1643: 1639: 1635: 1631: 1627: 1613: 1610: 1606: 1602: 1598: 1588: 1586: 1582: 1578: 1574: 1570: 1566: 1562: 1558: 1553: 1551: 1547: 1543: 1539: 1535: 1531: 1521: 1519: 1515: 1504: 1502: 1498: 1493: 1452: 1439: 1414: 1404: 1395: 1391: 1389: 1385: 1381: 1371: 1369: 1365: 1359: 1357: 1356:work function 1353: 1349: 1345: 1336: 1335:work function 1332: 1329: 1325: 1320: 1311: 1309: 1299: 1291: 1283: 1279: 1277: 1273: 1269: 1264: 1261: 1257: 1248: 1236: 1233: 1230: 1227: 1224: 1223: 1222: 1213: 1211: 1210:flexoelectric 1207: 1202: 1198: 1194: 1190: 1186: 1182: 1181:work function 1173: 1169: 1167: 1163: 1159: 1154: 1150: 1148: 1137: 1135: 1131: 1127: 1123: 1119: 1115: 1111: 1106: 1103: 1098: 1094: 1092: 1087: 1085: 1081: 1077: 1073: 1069: 1065: 1061: 1057: 1053: 1049: 1045: 1041: 1037: 1033: 1026: 1021: 1017: 1015: 1011: 1010:Robert Symmer 1007: 1003: 998: 996: 991: 987: 982: 980: 976: 974: 968: 964: 960: 953: 949: 945: 935: 933: 929: 925: 920: 918: 914: 909: 905: 900: 898: 893: 889: 888:tribocharging 885: 881: 877: 873: 861: 856: 854: 849: 847: 842: 841: 839: 838: 831: 828: 826: 823: 821: 818: 816: 813: 811: 808: 806: 803: 801: 798: 796: 793: 791: 788: 786: 783: 781: 778: 776: 773: 771: 768: 766: 763: 761: 758: 756: 753: 751: 748: 746: 743: 741: 738: 736: 733: 731: 728: 726: 723: 721: 718: 716: 713: 711: 708: 706: 703: 701: 698: 696: 693: 691: 688: 686: 683: 681: 678: 676: 673: 671: 668: 666: 663: 661: 658: 656: 653: 652: 646: 645: 638: 635: 633: 630: 628: 625: 623: 620: 618: 615: 613: 610: 608: 605: 603: 600: 599: 596: 591: 590: 583: 580: 578: 575: 573: 570: 568: 565: 563: 560: 558: 555: 553: 550: 548: 545: 543: 540: 538: 535: 533: 530: 528: 525: 523: 520: 518: 515: 514: 511: 506: 505: 498: 495: 493: 490: 488: 485: 483: 480: 478: 475: 473: 470: 468: 465: 463: 460: 458: 455: 453: 452:Joule heating 450: 448: 445: 443: 440: 438: 435: 433: 430: 428: 425: 423: 420: 418: 415: 413: 410: 408: 405: 404: 401: 396: 395: 388: 385: 383: 380: 378: 375: 373: 370: 368: 367:Lorentz force 365: 363: 360: 358: 355: 353: 350: 348: 345: 343: 340: 338: 335: 333: 330: 328: 325: 323: 320: 318: 315: 313: 310: 308: 305: 303: 300: 298: 295: 294: 291: 286: 285: 278: 275: 273: 270: 268: 267:Magnetization 265: 263: 260: 258: 255: 253: 252:Magnetic flux 250: 248: 245: 243: 240: 238: 235: 233: 230: 228: 225: 224: 221: 216: 215: 208: 205: 203: 200: 198: 195: 193: 190: 188: 185: 183: 180: 178: 175: 173: 170: 168: 165: 163: 160: 158: 157:Electric flux 155: 153: 150: 148: 145: 143: 140: 138: 135: 133: 130: 128: 125: 123: 120: 119: 116: 111: 110: 105: 102: 100: 97: 95: 94:Computational 92: 90: 87: 85: 82: 80: 77: 75: 72: 71: 70: 69: 65: 61: 60: 57: 54: 53: 49: 48: 42: 38: 34: 30: 19: 18:Triboelectric 8707:Khan Academy 8661:. Retrieved 8657: 8648: 8636:. Retrieved 8632: 8622: 8589: 8585: 8579: 8564: 8531: 8527: 8517: 8505:. Retrieved 8501: 8491: 8479:. Retrieved 8475: 8465: 8424: 8420: 8410: 8401: 8391: 8379:. Retrieved 8376:www.aopa.org 8375: 8365: 8356: 8346: 8335:, retrieved 8329: 8323: 8311:. Retrieved 8307: 8297: 8284: 8277: 8265:. Retrieved 8261: 8252: 8219: 8215: 8205: 8172: 8168: 8158: 8146:. Retrieved 8142: 8133: 8100: 8096: 8086: 8061: 8057: 8051: 8038: 8031: 7998: 7994: 7984: 7959: 7955: 7949: 7922: 7918: 7908: 7873: 7869: 7859: 7826: 7822: 7812: 7787: 7783: 7773: 7730: 7726: 7716: 7675: 7671: 7665: 7622: 7618: 7608: 7583: 7579: 7569: 7526: 7522: 7512: 7461: 7457: 7447: 7417:(D4): 6026. 7414: 7410: 7400: 7367: 7363: 7353: 7320: 7316: 7310: 7269: 7265: 7255: 7227: 7220: 7187: 7183: 7173: 7138: 7134: 7124: 7083: 7079: 7069: 7039:(1): 14–27. 7036: 7032: 7022: 6979: 6975: 6965: 6914: 6910: 6864: 6860: 6850: 6830: 6823: 6807:. Elsevier. 6803: 6796: 6761: 6757: 6747: 6722: 6718: 6708: 6681: 6677: 6667: 6634: 6630: 6620: 6595: 6591: 6561: 6557: 6527: 6523: 6513: 6470: 6466: 6456: 6444:. Retrieved 6439: 6429: 6396: 6392: 6386: 6345: 6341: 6308: 6301: 6260: 6256: 6246: 6221: 6217: 6207: 6182: 6178: 6168: 6143: 6139: 6129: 6086: 6082: 6072: 6037: 6033: 6023: 6006: 6002: 5992: 5965: 5959: 5929:(2): 73–78. 5926: 5922: 5912: 5895: 5891: 5881: 5848: 5844: 5834: 5809:10261/280763 5781: 5777: 5767: 5724: 5720: 5666: 5662: 5652: 5619: 5615: 5605: 5572: 5568: 5507:(1): 10006. 5504: 5500: 5446: 5442: 5432: 5391: 5387: 5377: 5342: 5338: 5328: 5295: 5291: 5285: 5234: 5230: 5219: 5176: 5172: 5162: 5127: 5123: 5069: 5065: 5019: 5015: 5005: 4980: 4976: 4966: 4933: 4929: 4919: 4860: 4857:Nano Letters 4856: 4846: 4813: 4809: 4799: 4764: 4760: 4750: 4709: 4705: 4695: 4646: 4643:Nano Letters 4642: 4564: 4560: 4532: 4528: 4522: 4479: 4475: 4465: 4406: 4402: 4352: 4348: 4338: 4279: 4275: 4221: 4217: 4207: 4189: 4182: 4141: 4137: 4127: 4110: 4100: 4083: 4073: 4040: 4036: 4000: 3942: 3938: 3864: 3860: 3807:(2): 24004. 3804: 3800: 3736: 3732: 3722: 3697: 3693: 3645: 3641: 3597: 3593: 3537: 3533: 3473: 3469: 3459: 3448:, retrieved 3442: 3436: 3417: 3371: 3367: 3325: 3263: 3259: 3249: 3214: 3210: 3200: 3157: 3153: 3105: 3101: 3091: 3050: 3046: 3040: 3005: 3001: 2991: 2958: 2954: 2914: 2910: 2872: 2868: 2846: 2840: 2830: 2821: 2802: 2773: 2744: 2737: 2704: 2703:(in Latin). 2700: 2691: 2666: 2662: 2652: 2634: 2627: 2608: 2602: 2593: 2583: 2574: 2569: 2545:. Retrieved 2541: 2532: 2521:, retrieved 2516: 2507: 2474: 2470: 2432: 2428: 2397: 2358: 2350: 2320:(1): 21–56. 2317: 2313: 2245: 2241: 2207: 2203: 2193: 2181:. Retrieved 2171: 2159:. Retrieved 2154: 2145: 2112: 2108: 2052: 2048: 2021:(1): 43–66. 2018: 2014: 1966: 1962: 1809:aggregation. 1803:static wicks 1796: 1760: 1735: 1719: 1707: 1698: 1696: 1691: 1687: 1672: 1646: 1624: 1594: 1554: 1542:irreversible 1527: 1510: 1494: 1409: 1392: 1377: 1367: 1360: 1343: 1340: 1330: 1324:Fermi levels 1304: 1265: 1255: 1253: 1219: 1178: 1155: 1151: 1143: 1114:band bending 1107: 1099: 1088: 1079: 1075: 1071: 1067: 1029: 999: 983: 970: 955: 921: 916: 912: 907: 901: 896: 890:) describes 887: 883: 879: 875: 871: 869: 612:Four-current 547:Linear motor 432:Electrolysis 312:Eddy current 272:Permeability 206: 192:Polarization 187:Permittivity 29: 8741:Electricity 8663:5 September 8267:7 September 8064:: 192–198. 6917:(1): 2384. 6598:(1): 3–16. 6496:2433/130693 6063:2433/130693 5750:10261/99362 5345:(1): 2–17. 5237:(1): 2093. 5179:(1): 1427. 4936:: 517–523. 4930:Nano Energy 4535:(1): 25–29. 4476:Nano Energy 3450:5 September 2523:5 September 2210:: 225–237. 2070:2433/194296 1749:In industry 1675:Lord Kelvin 1134:David Tabor 1064:C.F. du Fay 1044:electricity 924:dust storms 897:tribocharge 582:Transformer 412:Capacitance 337:Faraday law 132:Coulomb law 74:Electricity 8725:Categories 8222:: 105917. 8001:: 103513. 7740:2212.04915 7733:: 140918. 6684:: 103605. 6446:18 January 6146:: 103582. 5514:1911.06207 4870:2201.04688 4574:1904.10383 4489:2112.04687 4482:: 107034. 4416:1904.11997 3746:1801.09278 2849:: 337–416. 2609:De magnete 2594:(No Title) 1934:References 1193:asperities 1126:asperities 1036:De Magnete 942:See also: 649:Scientists 497:Waveguides 477:Resistance 447:Inductance 227:Ampère law 8746:Tribology 8705:from the 8614:0001-4966 8556:258745825 8548:2662-8449 8457:256713457 8449:1745-2473 8337:14 August 8244:244408454 8236:1350-6307 8197:109719864 8189:1066-8527 8117:0093-9994 8078:0142-9418 8023:224879902 8015:0304-3886 7976:0304-3886 7941:132181033 7900:0148-0227 7851:0021-8979 7804:1941-5982 7765:254535685 7708:122683411 7700:0001-8732 7657:125898175 7649:0066-4189 7600:0002-7863 7543:0743-7463 7504:257695984 7488:0935-9648 7439:0148-0227 7392:0021-8979 7345:0148-0227 7302:125757544 7294:0143-0807 7212:0003-3804 7165:110760051 7157:0370-1662 7141:: 67–72. 7116:137276822 7108:0080-4630 7061:0959-5309 6996:1742-5689 6939:2045-2322 6889:237720731 6881:2380-8195 6788:256405946 6780:2223-7704 6739:0888-5885 6700:0304-3886 6659:250802832 6612:0304-3886 6505:0009-2509 6370:0028-0836 6285:1476-4660 6238:0743-7463 6160:235513618 6121:225960006 6113:2095-0349 5951:0002-9505 5873:0021-8979 5826:245897525 5818:0021-8979 5759:1531-7331 5699:137276822 5691:0080-4630 5644:0031-899X 5597:0556-2805 5547:208615180 5539:1286-4854 5479:250811149 5471:0022-3727 5424:250769950 5416:0022-3727 5369:256406551 5361:2223-7690 5320:0001-8732 5259:2041-1723 5102:121319419 5094:0022-3727 5044:197403212 5036:2397-3358 4958:106380058 4911:245906054 4895:1530-6984 4838:0021-8979 4774:0707.2649 4734:0028-0836 4687:225070213 4671:1530-6984 4615:128361741 4599:0031-9007 4514:247006239 4457:139102854 4441:0031-9007 4314:1539-3755 4289:0902.3411 4254:250812629 4246:0022-3727 4174:136500498 4158:0036-8075 4065:0010-7514 3975:110618773 3967:0080-4630 3901:0036-8075 3829:0295-5075 3779:118904552 3771:2475-9953 3670:0959-5309 3622:0031-899X 3564:0028-0836 3506:250782776 3498:0022-3727 3396:0508-3443 3298:136574422 3290:0950-1207 3241:0950-1207 3192:137932809 3184:0950-1207 3132:0950-1207 3075:0950-1207 3032:0950-1207 2983:1478-7814 2931:1941-5982 2889:1941-5982 2729:186208701 2721:0261-0523 2683:0003-3790 2547:16 August 2499:0002-9505 2449:0304-3886 2342:0066-4146 2280:0031-9007 2255:0711.1341 2137:2046-2069 2079:0378-5173 1993:0950-1207 1915:Tribology 1717:in 1938. 1703:lightning 1569:fermionic 1453:⋅ 1276:glove box 1201:Helmholtz 986:axial age 984:From the 979:tribology 805:Steinmetz 735:Kirchhoff 720:Jefimenko 715:Hopkinson 700:Helmholtz 695:Heaviside 557:Permeance 442:Impedance 182:Insulator 177:Gauss law 127:Conductor 104:Phenomena 99:Textbooks 79:Magnetism 8125:16419622 7561:35500291 7523:Langmuir 7496:36947827 7014:25008078 6957:23934227 6758:Friction 6558:Langmuir 6421:29390647 6293:18362908 6218:Langmuir 6199:18270989 5339:Friction 5277:32350259 5211:30926850 4997:22653881 4903:35521939 4679:35575563 4607:31573269 4449:33196235 4322:19518446 4166:17569848 4019:39850726 3917:18450118 3909:21700838 3837:40379103 3714:25168573 2513:"tribo-" 2288:18232774 2087:17141989 1849:See also 1770:dangers. 1634:adhesion 1626:Friction 1616:Examples 1601:adsorbed 1597:humidity 1591:Humidity 1552:(UCLA). 1470:, where 1162:zirconia 1080:negative 1076:positive 1072:resinous 1068:vitreous 959:ēlektron 830:Wiechert 785:Poynting 675:Einstein 522:DC motor 517:AC motor 352:Lenz law 137:Electret 8689:at the 8638:12 July 8594:Bibcode 8507:12 July 8481:17 July 8429:Bibcode 8381:12 July 8313:15 July 8148:12 July 7878:Bibcode 7831:Bibcode 7745:Bibcode 7680:Bibcode 7627:Bibcode 7552:9118544 7466:Bibcode 7419:Bibcode 7372:Bibcode 7325:Bibcode 7274:Bibcode 7192:Bibcode 7088:Bibcode 7041:Bibcode 7005:4233685 6948:3740278 6919:Bibcode 6639:Bibcode 6475:Bibcode 6401:Bibcode 6378:4372536 6350:Bibcode 6265:Bibcode 6091:Bibcode 6042:Bibcode 5931:Bibcode 5853:Bibcode 5786:Bibcode 5729:Bibcode 5671:Bibcode 5624:Bibcode 5577:Bibcode 5519:Bibcode 5451:Bibcode 5396:Bibcode 5300:Bibcode 5268:7190865 5239:Bibcode 5202:6441076 5181:Bibcode 5154:4211729 5132:Bibcode 5074:Bibcode 4938:Bibcode 4875:Bibcode 4818:Bibcode 4779:Bibcode 4742:4269111 4714:Bibcode 4651:Bibcode 4579:Bibcode 4494:Bibcode 4421:Bibcode 4357:Bibcode 4330:2225090 4294:Bibcode 4226:Bibcode 4138:Science 4045:Bibcode 3947:Bibcode 3869:Bibcode 3861:Science 3809:Bibcode 3751:Bibcode 3650:Bibcode 3602:Bibcode 3572:3954491 3542:Bibcode 3478:Bibcode 3376:Bibcode 3268:Bibcode 3219:Bibcode 3162:Bibcode 3110:Bibcode 3055:Bibcode 3010:Bibcode 2963:Bibcode 2479:Bibcode 2322:Bibcode 2296:9072006 2260:Bibcode 2212:Bibcode 2183:23 July 2161:21 July 2117:Bibcode 2109:RSC Adv 1971:Bibcode 1732:Powders 1726:earlier 1677:in his 1158:Erdemir 1147:dipoles 938:History 815:Thomson 790:Ritchie 780:Poisson 765:Neumann 760:Maxwell 755:Lorentz 750:Liénard 680:Faraday 665:Coulomb 492:Voltage 467:Ohm law 89:History 8612:  8554:  8546:  8455:  8447:  8242:  8234:  8195:  8187:  8123:  8115:  8076:  8021:  8013:  7974:  7939:  7898:  7849:  7802:  7763:  7706:  7698:  7655:  7647:  7598:  7559:  7549:  7541:  7502:  7494:  7486:  7437:  7390:  7343:  7300:  7292:  7243:  7210:  7163:  7155:  7114:  7106:  7059:  7012:  7002:  6994:  6982:(98). 6955:  6945:  6937:  6887:  6879:  6838:  6811:  6786:  6778:  6737:  6698:  6657:  6610:  6503:  6419:  6376:  6368:  6342:Nature 6316:  6291:  6283:  6236:  6197:  6158:  6119:  6111:  5980:  5949:  5871:  5824:  5816:  5757:  5697:  5689:  5642:  5595:  5545:  5537:  5477:  5469:  5422:  5414:  5367:  5359:  5318:  5275:  5265:  5257:  5209:  5199:  5152:  5124:Nature 5100:  5092:  5042:  5034:  4995:  4956:  4909:  4901:  4893:  4836:  4740:  4732:  4706:Nature 4685:  4677:  4669:  4613:  4605:  4597:  4512:  4455:  4447:  4439:  4328:  4320:  4312:  4252:  4244:  4172:  4164:  4156:  4063:  4017:  4007:  3973:  3965:  3915:  3907:  3899:  3835:  3827:  3777:  3769:  3712:  3668:  3620:  3570:  3562:  3534:Nature 3504:  3496:  3424:  3394:  3332:  3296:  3288:  3239:  3190:  3182:  3130:  3081:  3073:  3030:  2981:  2929:  2887:  2780:  2752:  2727:  2719:  2681:  2615:  2497:  2447:  2371:  2340:  2294:  2286:  2278:  2135:  2085:  2077:  1991:  1816:occur. 1581:bosons 1530:Soviet 1436:and a 1352:dipole 973:tribo- 950:, and 902:Often 800:Singer 795:Savart 775:Ørsted 740:Larmor 730:Kelvin 685:Fizeau 655:Ampère 577:Stator 84:Optics 8552:S2CID 8534:(1). 8453:S2CID 8289:(PDF) 8240:S2CID 8193:S2CID 8121:S2CID 8043:(PDF) 8019:S2CID 7937:S2CID 7761:S2CID 7735:arXiv 7704:S2CID 7653:S2CID 7500:S2CID 7298:S2CID 7161:S2CID 7112:S2CID 6885:S2CID 6784:S2CID 6655:S2CID 6374:S2CID 6156:S2CID 6117:S2CID 5822:S2CID 5695:S2CID 5543:S2CID 5509:arXiv 5475:S2CID 5420:S2CID 5365:S2CID 5150:S2CID 5098:S2CID 5040:S2CID 4954:S2CID 4907:S2CID 4865:arXiv 4769:arXiv 4738:S2CID 4683:S2CID 4611:S2CID 4569:arXiv 4510:S2CID 4484:arXiv 4453:S2CID 4411:arXiv 4326:S2CID 4284:arXiv 4250:S2CID 4170:S2CID 3971:S2CID 3913:S2CID 3833:S2CID 3775:S2CID 3741:arXiv 3568:S2CID 3502:S2CID 3294:S2CID 3188:S2CID 3083:94891 3079:JSTOR 2725:S2CID 2292:S2CID 2250:arXiv 1197:Volta 990:amber 963:amber 886:, or 825:Weber 820:Volta 810:Tesla 725:Joule 710:Hertz 705:Henry 690:Gauss 572:Rotor 8665:2023 8640:2023 8610:ISSN 8544:ISSN 8509:2023 8483:2023 8445:ISSN 8383:2023 8339:2023 8315:2023 8269:2023 8232:ISSN 8185:ISSN 8150:2023 8113:ISSN 8074:ISSN 8011:ISSN 7972:ISSN 7896:ISSN 7847:ISSN 7800:ISSN 7696:ISSN 7645:ISSN 7596:ISSN 7557:PMID 7539:ISSN 7492:PMID 7484:ISSN 7435:ISSN 7388:ISSN 7341:ISSN 7290:ISSN 7241:ISBN 7208:ISSN 7153:ISSN 7104:ISSN 7057:ISSN 7010:PMID 6992:ISSN 6953:PMID 6935:ISSN 6877:ISSN 6836:ISBN 6809:ISBN 6776:ISSN 6735:ISSN 6696:ISSN 6608:ISSN 6501:ISSN 6448:2021 6417:PMID 6366:ISSN 6314:ISBN 6289:PMID 6281:ISSN 6234:ISSN 6195:PMID 6109:ISSN 5978:ISBN 5947:ISSN 5869:ISSN 5814:ISSN 5755:ISSN 5687:ISSN 5640:ISSN 5593:ISSN 5535:ISSN 5467:ISSN 5412:ISSN 5357:ISSN 5316:ISSN 5273:PMID 5255:ISSN 5207:PMID 5090:ISSN 5032:ISSN 4993:PMID 4899:PMID 4891:ISSN 4834:ISSN 4730:ISSN 4675:PMID 4667:ISSN 4603:PMID 4595:ISSN 4445:PMID 4437:ISSN 4318:PMID 4310:ISSN 4242:ISSN 4162:PMID 4154:ISSN 4061:ISSN 4015:OCLC 4005:ISBN 3963:ISSN 3905:PMID 3897:ISSN 3825:ISSN 3767:ISSN 3710:PMID 3666:ISSN 3618:ISSN 3560:ISSN 3494:ISSN 3452:2023 3422:ISBN 3392:ISSN 3330:ISBN 3286:ISSN 3237:ISSN 3180:ISSN 3128:ISSN 3071:ISSN 3028:ISSN 2979:ISSN 2927:ISSN 2885:ISSN 2847:lvii 2778:ISBN 2750:ISBN 2717:ISSN 2679:ISSN 2613:ISBN 2549:2023 2525:2023 2495:ISSN 2445:ISSN 2369:ISBN 2338:ISSN 2284:PMID 2276:ISSN 2185:2023 2163:2023 2133:ISSN 2083:PMID 2075:ISSN 1989:ISSN 1823:are 1766:use. 1579:for 1348:Kohn 1199:and 1132:and 1078:and 1070:and 926:and 870:The 745:Lenz 670:Davy 660:Biot 8602:doi 8536:doi 8437:doi 8224:doi 8220:131 8177:doi 8105:doi 8066:doi 8003:doi 7999:108 7964:doi 7927:doi 7886:doi 7874:103 7839:doi 7792:doi 7753:doi 7731:455 7688:doi 7635:doi 7588:doi 7547:PMC 7531:doi 7474:doi 7427:doi 7380:doi 7333:doi 7282:doi 7233:doi 7200:doi 7188:282 7143:doi 7096:doi 7084:231 7049:doi 7000:PMC 6984:doi 6943:PMC 6927:doi 6869:doi 6766:doi 6727:doi 6686:doi 6682:113 6647:doi 6600:doi 6566:doi 6532:doi 6491:hdl 6483:doi 6409:doi 6358:doi 6346:455 6273:doi 6226:doi 6187:doi 6148:doi 6144:112 6099:doi 6058:hdl 6050:doi 6011:doi 6007:198 5970:doi 5939:doi 5900:doi 5861:doi 5849:112 5804:hdl 5794:doi 5782:131 5745:hdl 5737:doi 5679:doi 5667:231 5632:doi 5585:doi 5527:doi 5505:129 5459:doi 5404:doi 5347:doi 5308:doi 5263:PMC 5247:doi 5197:PMC 5189:doi 5140:doi 5128:196 5082:doi 5024:doi 4985:doi 4946:doi 4883:doi 4826:doi 4814:122 4787:doi 4722:doi 4710:181 4659:doi 4587:doi 4565:123 4502:doi 4429:doi 4407:125 4365:doi 4353:389 4302:doi 4234:doi 4195:doi 4146:doi 4142:316 4115:doi 4088:doi 4053:doi 3955:doi 3943:205 3887:hdl 3877:doi 3865:333 3817:doi 3759:doi 3702:doi 3658:doi 3610:doi 3550:doi 3486:doi 3384:doi 3276:doi 3264:138 3227:doi 3215:128 3170:doi 3158:128 3118:doi 3106:122 3063:doi 3051:118 3018:doi 3006:118 2971:doi 2919:doi 2877:doi 2709:doi 2671:doi 2640:doi 2575:ff. 2487:doi 2437:doi 2403:doi 2330:doi 2268:doi 2246:100 2220:doi 2208:125 2125:doi 2065:hdl 2057:doi 2053:334 2023:doi 1979:doi 1690:or 1563:. 1440:of 1310:). 1046:in 770:Ohm 8727:: 8656:. 8631:. 8608:. 8600:. 8590:48 8588:. 8550:. 8542:. 8530:. 8526:. 8500:. 8474:. 8451:. 8443:. 8435:. 8425:16 8423:. 8419:. 8400:. 8374:. 8355:. 8306:. 8260:. 8238:. 8230:. 8218:. 8214:. 8191:. 8183:. 8173:13 8171:. 8167:. 8141:. 8119:. 8111:. 8101:49 8099:. 8095:. 8072:. 8062:42 8060:. 8017:. 8009:. 7997:. 7993:. 7970:. 7960:67 7958:. 7935:. 7923:43 7921:. 7917:. 7894:. 7884:. 7872:. 7868:. 7845:. 7837:. 7827:21 7825:. 7821:. 7798:. 7788:23 7786:. 7782:. 7759:. 7751:. 7743:. 7729:. 7725:. 7702:. 7694:. 7686:. 7676:54 7674:. 7651:. 7643:. 7633:. 7623:51 7621:. 7617:. 7594:. 7584:60 7582:. 7578:. 7555:. 7545:. 7537:. 7527:38 7525:. 7521:. 7498:. 7490:. 7482:. 7472:. 7462:35 7460:. 7456:. 7433:. 7425:. 7415:90 7413:. 7409:. 7386:. 7378:. 7368:53 7366:. 7362:. 7339:. 7331:. 7321:70 7319:. 7296:. 7288:. 7280:. 7270:38 7268:. 7264:. 7239:. 7206:. 7198:. 7186:. 7182:. 7159:. 7151:. 7139:16 7137:. 7133:. 7110:. 7102:. 7094:. 7082:. 7078:. 7055:. 7047:. 7037:54 7035:. 7031:. 7008:. 6998:. 6990:. 6980:11 6978:. 6974:. 6951:. 6941:. 6933:. 6925:. 6913:. 6909:. 6897:^ 6883:. 6875:. 6863:. 6859:. 6782:. 6774:. 6760:. 6756:. 6733:. 6723:56 6721:. 6717:. 6694:. 6680:. 6676:. 6653:. 6645:. 6633:. 6629:. 6606:. 6596:58 6594:. 6590:. 6578:^ 6562:10 6560:. 6556:. 6544:^ 6528:58 6526:. 6522:. 6499:. 6489:. 6481:. 6471:65 6469:. 6465:. 6438:. 6415:. 6407:. 6397:89 6395:. 6372:. 6364:. 6356:. 6344:. 6340:. 6328:^ 6287:. 6279:. 6271:. 6259:. 6255:. 6232:. 6220:. 6216:. 6193:. 6183:47 6181:. 6177:. 6154:. 6142:. 6138:. 6115:. 6107:. 6097:. 6087:10 6085:. 6081:. 6056:. 6048:. 6038:65 6036:. 6032:. 6005:. 6001:. 5976:. 5945:. 5937:. 5927:19 5925:. 5921:. 5896:71 5894:. 5890:. 5867:. 5859:. 5847:. 5843:. 5820:. 5812:. 5802:. 5792:. 5780:. 5776:. 5753:. 5743:. 5735:. 5725:43 5723:. 5719:. 5707:^ 5693:. 5685:. 5677:. 5665:. 5661:. 5638:. 5630:. 5620:76 5618:. 5614:. 5591:. 5583:. 5571:. 5567:. 5555:^ 5541:. 5533:. 5525:. 5517:. 5503:. 5499:. 5487:^ 5473:. 5465:. 5457:. 5447:19 5445:. 5441:. 5418:. 5410:. 5402:. 5392:19 5390:. 5386:. 5363:. 5355:. 5341:. 5337:. 5314:. 5306:. 5296:29 5294:. 5271:. 5261:. 5253:. 5245:. 5235:11 5233:. 5229:. 5205:. 5195:. 5187:. 5177:10 5175:. 5171:. 5148:. 5138:. 5126:. 5122:. 5110:^ 5096:. 5088:. 5080:. 5070:47 5068:. 5064:. 5052:^ 5038:. 5030:. 5018:. 5014:. 4991:. 4981:51 4979:. 4975:. 4952:. 4944:. 4934:52 4932:. 4928:. 4905:. 4897:. 4889:. 4881:. 4873:. 4861:22 4859:. 4855:. 4832:. 4824:. 4812:. 4808:. 4785:. 4777:. 4763:. 4759:. 4736:. 4728:. 4720:. 4708:. 4704:. 4681:. 4673:. 4665:. 4657:. 4647:22 4645:. 4641:. 4623:^ 4609:. 4601:. 4593:. 4585:. 4577:. 4563:. 4559:. 4541:^ 4531:. 4508:. 4500:. 4492:. 4480:96 4478:. 4474:. 4451:. 4443:. 4435:. 4427:. 4419:. 4405:. 4401:. 4379:^ 4363:. 4347:. 4324:. 4316:. 4308:. 4300:. 4292:. 4280:79 4278:. 4274:. 4262:^ 4248:. 4240:. 4232:. 4222:20 4220:. 4216:. 4168:. 4160:. 4152:. 4140:. 4136:. 4109:. 4082:. 4059:. 4051:. 4039:. 4027:^ 4013:. 3983:^ 3969:. 3961:. 3953:. 3941:. 3937:. 3925:^ 3911:. 3903:. 3895:. 3885:. 3875:. 3863:. 3859:. 3845:^ 3831:. 3823:. 3815:. 3805:83 3803:. 3799:. 3787:^ 3773:. 3765:. 3757:. 3749:. 3735:. 3731:. 3708:. 3698:53 3696:. 3692:. 3678:^ 3664:. 3656:. 3646:39 3644:. 3630:^ 3616:. 3608:. 3598:16 3596:. 3592:. 3580:^ 3566:. 3558:. 3548:. 3538:83 3536:. 3532:. 3514:^ 3500:. 3492:. 3484:. 3474:21 3472:. 3468:. 3404:^ 3390:. 3382:. 3370:. 3366:. 3344:^ 3306:^ 3292:. 3284:. 3274:. 3262:. 3258:. 3235:. 3225:. 3213:. 3209:. 3186:. 3178:. 3168:. 3156:. 3152:. 3140:^ 3126:. 3116:. 3104:. 3100:. 3077:. 3069:. 3061:. 3049:. 3026:. 3016:. 3004:. 3000:. 2977:. 2969:. 2959:27 2957:. 2953:. 2939:^ 2925:. 2915:29 2913:. 2909:. 2897:^ 2883:. 2873:17 2871:. 2867:. 2855:^ 2845:. 2839:. 2812:^ 2792:^ 2764:^ 2723:. 2715:. 2705:38 2699:. 2677:. 2665:. 2661:. 2592:. 2557:^ 2540:. 2515:, 2493:. 2485:. 2475:21 2473:. 2469:. 2457:^ 2443:. 2433:70 2431:. 2427:. 2415:^ 2383:^ 2363:. 2336:. 2328:. 2318:46 2316:. 2304:^ 2290:. 2282:. 2274:. 2266:. 2258:. 2244:. 2232:^ 2218:. 2206:. 2202:. 2153:. 2131:. 2123:. 2111:. 2107:. 2095:^ 2081:. 2073:. 2063:. 2051:. 2035:^ 2019:11 2017:. 2013:. 2001:^ 1987:. 1977:. 1967:94 1965:. 1961:. 1941:^ 1728:. 1705:. 1644:. 1587:. 1358:. 1136:. 1016:. 997:. 981:. 946:, 882:, 878:, 8717:. 8667:. 8642:. 8616:. 8604:: 8596:: 8573:. 8558:. 8538:: 8532:3 8511:. 8485:. 8459:. 8439:: 8431:: 8385:. 8359:. 8317:. 8271:. 8246:. 8226:: 8199:. 8179:: 8152:. 8127:. 8107:: 8080:. 8068:: 8025:. 8005:: 7978:. 7966:: 7943:. 7929:: 7902:. 7888:: 7880:: 7853:. 7841:: 7833:: 7806:. 7794:: 7767:. 7755:: 7747:: 7737:: 7710:. 7690:: 7682:: 7659:. 7637:: 7629:: 7602:. 7590:: 7563:. 7533:: 7506:. 7476:: 7468:: 7441:. 7429:: 7421:: 7394:. 7382:: 7374:: 7347:. 7335:: 7327:: 7304:. 7284:: 7276:: 7249:. 7235:: 7214:. 7202:: 7194:: 7167:. 7145:: 7118:. 7098:: 7090:: 7063:. 7051:: 7043:: 7016:. 6986:: 6959:. 6929:: 6921:: 6915:3 6891:. 6871:: 6865:6 6844:. 6817:. 6790:. 6768:: 6762:3 6741:. 6729:: 6702:. 6688:: 6661:. 6649:: 6641:: 6635:5 6614:. 6602:: 6572:. 6568:: 6538:. 6534:: 6507:. 6493:: 6485:: 6477:: 6450:. 6423:. 6411:: 6403:: 6380:. 6360:: 6352:: 6322:. 6295:. 6275:: 6267:: 6261:7 6240:. 6228:: 6222:9 6201:. 6189:: 6162:. 6150:: 6123:. 6101:: 6093:: 6066:. 6060:: 6052:: 6044:: 6017:. 6013:: 5986:. 5972:: 5953:. 5941:: 5933:: 5906:. 5902:: 5875:. 5863:: 5855:: 5828:. 5806:: 5796:: 5788:: 5761:. 5747:: 5739:: 5731:: 5701:. 5681:: 5673:: 5646:. 5634:: 5626:: 5599:. 5587:: 5579:: 5573:3 5549:. 5529:: 5521:: 5511:: 5481:. 5461:: 5453:: 5426:. 5406:: 5398:: 5371:. 5349:: 5343:7 5322:. 5310:: 5302:: 5279:. 5249:: 5241:: 5213:. 5191:: 5183:: 5156:. 5142:: 5134:: 5104:. 5084:: 5076:: 5046:. 5026:: 5020:3 4999:. 4987:: 4960:. 4948:: 4940:: 4913:. 4885:: 4877:: 4867:: 4840:. 4828:: 4820:: 4793:. 4789:: 4781:: 4771:: 4765:2 4744:. 4724:: 4716:: 4689:. 4661:: 4653:: 4617:. 4589:: 4581:: 4571:: 4533:V 4516:. 4504:: 4496:: 4486:: 4459:. 4431:: 4423:: 4413:: 4373:. 4367:: 4359:: 4332:. 4304:: 4296:: 4286:: 4256:. 4236:: 4228:: 4201:. 4197:: 4176:. 4148:: 4121:. 4117:: 4094:. 4090:: 4067:. 4055:: 4047:: 4041:2 4021:. 3977:. 3957:: 3949:: 3919:. 3889:: 3879:: 3871:: 3839:. 3819:: 3811:: 3781:. 3761:: 3753:: 3743:: 3737:2 3716:. 3704:: 3672:. 3660:: 3652:: 3624:. 3612:: 3604:: 3574:. 3552:: 3544:: 3508:. 3488:: 3480:: 3430:. 3398:. 3386:: 3378:: 3372:4 3338:. 3300:. 3278:: 3270:: 3243:. 3229:: 3221:: 3194:. 3172:: 3164:: 3134:. 3120:: 3112:: 3085:. 3065:: 3057:: 3034:. 3020:: 3012:: 2985:. 2973:: 2965:: 2933:. 2921:: 2891:. 2879:: 2786:. 2758:. 2731:. 2711:: 2685:. 2673:: 2667:6 2646:. 2642:: 2621:. 2551:. 2501:. 2489:: 2481:: 2451:. 2439:: 2409:. 2405:: 2377:. 2344:. 2332:: 2324:: 2298:. 2270:: 2262:: 2252:: 2226:. 2222:: 2214:: 2187:. 2165:. 2139:. 2127:: 2119:: 2113:4 2089:. 2067:: 2059:: 2029:. 2025:: 1995:. 1981:: 1973:: 1479:n 1457:n 1449:P 1423:P 1337:. 1331:ϕ 1256:. 895:( 859:e 852:t 845:v 43:. 20:)

Index

Triboelectric

Styrofoam peanuts
static electricity
Electromagnetism
Solenoid
Electricity
Magnetism
Optics
History
Computational
Textbooks
Phenomena
Electrostatics
Charge density
Conductor
Coulomb law
Electret
Electric charge
Electric dipole
Electric field
Electric flux
Electric potential
Electrostatic discharge
Electrostatic induction
Gauss law
Insulator
Permittivity
Polarization
Potential energy

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.