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Electrochemical potential

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80:(for example, "water molecules", "sodium ions", "electrons", etc.) has an electrochemical potential (a quantity with units of energy) at any given point in space, which represents how easy or difficult it is to add more of that species to that location. If possible, a species will move from areas with higher electrochemical potential to areas with lower electrochemical potential; in equilibrium, the electrochemical potential will be constant everywhere for each species (it may have a different value for different species). For example, if a glass of water has sodium ions (Na) dissolved uniformly in it, and an 417:(either of a corroding electrode, an electrode with a non-zero net reaction or current, or an electrode at equilibrium). In some contexts, the electrode potential of corroding metals is called "electrochemical corrosion potential", which is often abbreviated as ECP, and the word "corrosion" is sometimes omitted. This usage can lead to confusion. The two quantities have different meanings and different dimensions: the dimension of electrochemical potential is energy per mole while that of electrode potential is voltage (energy per charge). 119:
It is (in principle) easy to measure whether or not two regions (for example, two glasses of water) have the same electrochemical potential for a certain chemical species (for example, a solute molecule): Allow the species to freely move back and forth between the two regions (for example, connect
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that lets only that species through). If the chemical potential is the same in the two regions, the species will occasionally move back and forth between the two regions, but on average there is just as much movement in one direction as the other, and there is zero net migration (this is called
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of electrons (or any other species) is the total potential, including both the (internal, nonelectrical) chemical potential and the electric potential, and is by definition constant across a device in equilibrium, whereas the
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and a chemical potential can both give the same result: A redistribution of the chemical species. Therefore, it makes sense to combine them into a single "potential", the
125:"diffusive equilibrium"). If the chemical potentials of the two regions are different, more molecules will move to the lower chemical potential than the other direction. 378:
across membranes, in electroanalytical chemistry, and industrial applications such as batteries and fuel cells. It represents one of the many interchangeable forms of
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of the substance at the specified electric potential, where the substance is in a specified phase. Electrochemical potential can be expressed as
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per electron. In solid-state physics, the definitions are normally compatible with this, but occasionally  the definitions are swapped.
100:", which is higher in the high-concentration areas, and the molecules move to lower their chemical potential. These two examples show that an 215: 84:
is applied across the water, then the sodium ions will tend to get pulled by the electric field towards one side. We say the ions have
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diffusive equilibrium, i.e., when there is a tendency for molecules to diffuse from one region to another, then there is a certain
598: 578: 628: 140:), and the free-energy per mole is exactly equal to the electrochemical potential difference between the two regions. 507: 569: 96:
around the water, until there is equal concentration of sugar everywhere. We say that the sugar molecules have a "
162:. However, in the two fields, the definitions of these two terms are sometimes swapped. In electrochemistry, the 451: 136:
released by each net-diffusing molecule. This energy, which can sometimes be harnessed (a simple example is a
461: 618: 172: 133: 85: 431: 623: 121: 89: 383: 497: 88:, and are moving to lower their potential energy. Likewise, if a glass of water has a lot of 199: 101: 571:
Modeling water chemistry and electrochemical corrosion potential in boiling water reactors
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sugar on one side and none on the other side, each sugar molecule will randomly
390: 191: 81: 57: 612: 546:, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) " 195: 154:
It is common in electrochemistry and solid-state physics to discuss both the
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Electrochemical potential is important in biological processes that involve
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of electrons is equal to the electrochemical potential minus the local
159: 605:– lecture notes from University of Illinois at Urbana-Champaign 203: 61: 60:. Electrochemical potential is expressed in the unit of 276:{\displaystyle {\bar {\mu }}_{i}=\mu _{i}+z_{i}F\Phi ,} 218: 178:
This article uses the electrochemistry definitions.
186:In generic terms, electrochemical potential is the 393:, the electrochemical potential is the sum of the 275: 610: 56:that does not omit the energy contribution of 344:Φ is the local electrostatic potential, in V. 297:is the electrochemical potential of species 143: 522: 348:In the special case of an uncharged atom, 190:done in bringing 1 mole of an ion from a 158:and the electrochemical potential of the 27:Intensive physical property of substances 495: 481:Bard; Faulkner. "Section 2.2.4(a),4-5". 480: 181: 14: 611: 567: 579:Massachusetts Institute of Technology 206:definition, it is the partial molar 327:is the valency (charge) of the ion 24: 543:Compendium of Chemical Terminology 499:Introduction to solid-state theory 404: 267: 25: 640: 589: 71: 561: 531: 516: 489: 474: 226: 108:, which can directly give the 13: 1: 467: 413:is sometimes used to mean an 462:Standard electrode potential 382:through which energy may be 7: 420: 10: 645: 629:Electrochemical potentials 496:Madelung, Otfried (1978). 452:Poisson–Boltzmann equation 331:, a dimensionless integer, 147: 18:Electrochemical potentials 596:Electrochemical potential 548:Electrochemical potential 411:electrochemical potential 173:electric potential energy 164:electrochemical potential 144:Conflicting terminologies 106:electrochemical potential 86:electric potential energy 36:electrochemical potential 432:Electrochemical gradient 128:Moreover, when there is 556:10.1351/goldbook.E01945 483:Electrochemical Methods 355: = 0, and so 122:semi-permeable membrane 568:Grover, D. J. (1996). 277: 112:redistribution taking 278: 216: 200:electrical potential 182:Definition and usage 102:electrical potential 525:Solid State Physics 457:Reduction potential 415:electrode potential 376:molecular diffusion 202:. According to the 601:2009-04-29 at the 523:Ashcroft; Mermin. 442:Membrane potential 427:Concentration cell 399:membrane potential 395:chemical potential 312:chemical potential 273: 169:chemical potential 156:chemical potential 138:concentration cell 98:chemical potential 54:chemical potential 229: 16:(Redirected from 636: 619:Electrochemistry 583: 582: 576: 565: 559: 535: 529: 528: 520: 514: 513: 493: 487: 486: 478: 380:potential energy 359: 339:Faraday constant 292: 282: 280: 279: 274: 263: 262: 250: 249: 237: 236: 231: 230: 222: 78:chemical species 46: 32:electrochemistry 21: 644: 643: 639: 638: 637: 635: 634: 633: 609: 608: 603:Wayback Machine 592: 587: 586: 574: 566: 562: 536: 532: 521: 517: 510: 502:. p. 198. 494: 490: 485:(2nd ed.). 479: 475: 470: 447:Nernst equation 423: 407: 405:Incorrect usage 369: 362: 357: 353: 325: 314:of the species 308: 295: 290: 258: 254: 245: 241: 232: 221: 220: 219: 217: 214: 213: 194:to a specified 188:mechanical work 184: 152: 146: 74: 44: 28: 23: 22: 15: 12: 11: 5: 642: 632: 631: 626: 624:Thermodynamics 621: 607: 606: 591: 590:External links 588: 585: 584: 560: 530: 527:. p. 593. 515: 508: 488: 472: 471: 469: 466: 465: 464: 459: 454: 449: 444: 439: 434: 429: 422: 419: 406: 403: 391:cell membranes 367: 360: 351: 346: 345: 342: 332: 323: 319: 306: 302: 293: 272: 269: 266: 261: 257: 253: 248: 244: 240: 235: 228: 225: 192:standard state 183: 180: 145: 142: 116:into account. 82:electric field 73: 70: 58:electrostatics 26: 9: 6: 4: 3: 2: 641: 630: 627: 625: 622: 620: 617: 616: 614: 604: 600: 597: 594: 593: 580: 573: 572: 564: 557: 553: 549: 545: 544: 539: 534: 526: 519: 511: 509:9783540604433 505: 501: 500: 492: 484: 477: 473: 463: 460: 458: 455: 453: 450: 448: 445: 443: 440: 438: 435: 433: 430: 428: 425: 424: 418: 416: 412: 402: 400: 396: 392: 387: 385: 381: 377: 372: 370: 364: =  363: 354: 343: 340: 336: 333: 330: 326: 320: 317: 313: 309: 303: 300: 296: 288: 287: 286: 283: 270: 264: 259: 255: 251: 246: 242: 238: 233: 223: 211: 209: 205: 201: 197: 196:concentration 193: 189: 179: 176: 174: 170: 165: 161: 157: 151: 141: 139: 135: 131: 126: 123: 117: 115: 111: 107: 103: 99: 95: 91: 87: 83: 79: 69: 67: 63: 59: 55: 51: 50:thermodynamic 47: 41: 37: 33: 19: 570: 563: 541: 533: 524: 518: 498: 491: 482: 476: 410: 408: 388: 373: 365: 356: 349: 347: 334: 328: 321: 315: 304: 298: 289: 284: 212: 208:Gibbs energy 185: 177: 168: 163: 153: 129: 127: 120:them with a 118: 113: 109: 105: 75: 72:Introduction 43: 39: 35: 29: 437:Fermi level 341:, in C/mol, 318:, in J/mol, 301:, in J/mol, 150:Fermi level 134:free energy 52:measure of 613:Categories 577:(Thesis). 468:References 148:See also: 409:The term 384:conserved 268:Φ 243:μ 227:¯ 224:μ 160:electrons 90:dissolved 599:Archived 421:See also 397:and the 337:is the 310:is the 285:where: 94:diffuse 48:, is a 506:  34:, the 575:(PDF) 538:IUPAC 204:IUPAC 76:Each 504:ISBN 198:and 114:both 552:doi 550:". 389:In 130:not 110:net 66:mol 42:), 40:ECP 30:In 615:: 540:, 401:. 386:. 371:. 68:. 581:. 558:. 554:: 512:. 368:i 366:μ 361:i 358:μ 352:i 350:z 335:F 329:i 324:i 322:z 316:i 307:i 305:μ 299:i 294:i 291:μ 271:, 265:F 260:i 256:z 252:+ 247:i 239:= 234:i 64:/ 62:J 45:μ 38:( 20:)

Index

Electrochemical potentials
electrochemistry
thermodynamic
chemical potential
electrostatics
J
mol
chemical species
electric field
electric potential energy
dissolved
diffuse
chemical potential
electrical potential
semi-permeable membrane
free energy
concentration cell
Fermi level
chemical potential
electrons
electric potential energy
mechanical work
standard state
concentration
electrical potential
IUPAC
Gibbs energy
chemical potential
Faraday constant
molecular diffusion

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