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:
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8593:
8428:
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7679:
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7273:
7191:
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6918:
6638:
6474:
6400:
6349:
6264:
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6041:
5930:
5918:
5852:
5785:
5728:
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5576:
5518:
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5238:
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5131:
5073:
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4778:
4713:
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4578:
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3808:
3750:
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1970:
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1513:
1412:
1109:
824:
724:
689:
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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:
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7683:
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7195:
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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:
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5184:
5135:
5077:
5062:"Correlation of contact deformation with contact electrification of identical materials"
4941:
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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
3872:
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3481:
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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:
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8018:
7936:
7915:"Dust charging and transport on airless planetary bodies: Electrostatic Dust Transport"
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7703:
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7518:
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7297:
7160:
7111:
7004:
6971:
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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:
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2249:
1908:
1318:
1117:
903:
659:
399:
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161:
40:
8227:
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6535:
6338:"Correlation between nanosecond X-ray flashes and stick–slip friction in peeling tape"
4790:
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1297:
481:
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8523:
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8184:
8112:
8073:
8022:
8010:
7991:"Reduction of electrostatic charging PETN and HMX explosives by PVP and ionic liquid"
7971:
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7707:
7695:
7656:
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7595:
7556:
7538:
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7491:
7483:
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7387:
7340:
7301:
7289:
7262:"Visualisation of charge dynamics when water droplets move off a hydrophobic surface"
7240:
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7115:
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7056:
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7009:
6991:
6952:
6934:
6888:
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6855:
Ko, Hyunseok; Lim, Yeong-won; Han, Seungwu; Jeong, Chang Kyu; Cho, Sung Beom (2021).
6835:
6808:
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1988:
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1259:
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1090:
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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:
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7687:
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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:
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5307:
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5153:
5139:
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5023:
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4786:
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4721:
4658:
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4501:
4432:
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4364:
4329:
4301:
4233:
4194:
4145:
4114:
4087:
4052:
3954:
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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:
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3900:
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3621:
3563:
3497:
3395:
3289:
3240:
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3031:
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2888:
2720:
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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:
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1930:
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1912:
1906:
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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:
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777:
772:
767:
762:
757:
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747:
742:
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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:
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234:
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223:
220:Magnetostatics
218:
217:
214:
213:
210:
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199:
194:
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184:
179:
174:
169:
164:
159:
154:
152:Electric field
149:
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129:
124:
122:Charge density
118:
115:Electrostatics
113:
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109:
108:
107:
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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:
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8634:
8630:
8623:
8615:
8611:
8607:
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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:
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8347:
8332:
8331:
8324:
8309:
8305:
8298:
8287:
8286:
8278:
8263:
8259:
8253:
8245:
8241:
8237:
8233:
8229:
8225:
8221:
8217:
8213:
8206:
8198:
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8174:
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8159:
8144:
8140:
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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:
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6231:
6227:
6223:
6219:
6215:
6208:
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6196:
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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:
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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:
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4219:
4215:
4208:
4200:
4196:
4192:
4191:
4183:
4175:
4171:
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4163:
4159:
4155:
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4143:
4139:
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4020:
4016:
4012:
4010:1-885540-06-X
4006:
4002:
3995:
3993:
3991:
3989:
3987:
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3972:
3968:
3964:
3960:
3956:
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3944:
3940:
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3918:
3914:
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3898:
3893:
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3883:
3878:
3874:
3870:
3866:
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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:
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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
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