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Callendar–Van Dusen equation

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It is important to note that these equations are listed as the basis for the temperature/resistance tables for idealized platinum resistance thermometers and are not intended to be used for the calibration of an individual thermometer, which would require the experimentally determined parameters to
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is published by the Comité Consultatif de Thermométrie and the Comité International des Poids et Mesures. This work provides a 12th order polynomial that is valid over an even broader temperature range that spans from 13.8033 K to 273.16 K and a second 9th order polynomial that is valid over the
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As commonly used for commercial applications of RTD thermometers, the relationship between resistance and temperature is given by the following equations. The relationship above 0 °C (up to the melting point of aluminum ~ 660 °C) is a simplification of the equation that holds over a
270: 558: 544:{\displaystyle R(T)=\left\{{\begin{array}{lr}R(0)&{\text{if }}0^{\circ }{\text{C}}\leq T<661^{\circ }{\text{C}}\\R(0)&{\text{if }}-200^{\circ }{\text{C}}<T<0^{\circ }{\text{C}}\end{array}}\right.} 257: 262:
Where constants A, B, and C are derived from experimentally determined parameters α, β, and δ using resistance measurements made at 0 °C, 100 °C and 260 °C.
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While the simpler form was published earlier by Callendar, it is generally valid only over the range between 0 °C to 661 °C and is given as:
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Starting in 1968, the Callendar-Van Dusen Equation was replaced by an interpolating formula given by a 20th order polynomial first published in
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broader range down to -200 °C. The longer form was published in 1925 (see below) by M.S. Van Dusen and is given as:
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These equations are cited in International Standards for platinum RTD's resistance versus temperature functions
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is an equation that describes the relationship between resistance (R) and temperature (T) of
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Starting in 1990, the interpolating formula was further refined with the publication of
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Caldus. Callendar-Van Dusen conversion between resistance and temperature in python.
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https://www.wikapolska.pl/upload/DS_IN0029_en_co_59667.pdf
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The International Practical Temperature Scale of 1968
273: 178: 51: 599:temperature range of 0 °C to 961.78 °C. 587:by the Comité International des Poids et Mesures. 543: 251: 158: 574:National Institute of Standards and Technology 8: 568:The equation was found by British physicist 592:The International Temperature Scale of 1990 565:, and with some modification, JIS C1604. 529: 523: 505: 499: 487: 476: 442: 390: 384: 366: 360: 351: 340: 293: 272: 252:{\displaystyle R(T)=R(0)(1+A*T+B*T^{2}).} 237: 177: 144: 110: 50: 578:Journal of the American Chemical Society 608: 7: 576:) in work published in 1925 in the 559:DIN/IEC 60751 (also called IEC 751) 25: 482: 469: 457: 411: 408: 402: 346: 309: 306: 300: 283: 277: 243: 206: 203: 197: 188: 182: 150: 131: 119: 79: 76: 70: 61: 55: 1: 29:Callendar–Van Dusen equation 18:Callendar-Van Dusen equation 668: 159:{\displaystyle R(T)=R(0).} 570:Hugh Longbourne Callendar 36:resistance thermometers 545: 253: 160: 546: 254: 161: 271: 176: 49: 561:, also adopted as 541: 536: 249: 156: 532: 508: 490: 393: 369: 354: 16:(Redirected from 659: 619: 613: 550: 548: 547: 542: 540: 537: 533: 530: 528: 527: 509: 506: 504: 503: 491: 488: 481: 480: 447: 446: 394: 391: 389: 388: 370: 367: 365: 364: 355: 352: 345: 344: 258: 256: 255: 250: 242: 241: 165: 163: 162: 157: 149: 148: 115: 114: 21: 667: 666: 662: 661: 660: 658: 657: 656: 637: 636: 628: 623: 622: 614: 610: 605: 535: 534: 519: 495: 485: 472: 438: 396: 395: 380: 356: 349: 336: 289: 269: 268: 233: 174: 173: 140: 106: 47: 46: 23: 22: 15: 12: 11: 5: 665: 663: 655: 654: 649: 639: 638: 635: 634: 627: 626:External links 624: 621: 620: 607: 606: 604: 601: 539: 526: 522: 518: 515: 512: 502: 498: 494: 486: 484: 479: 475: 471: 468: 465: 462: 459: 456: 453: 450: 445: 441: 437: 434: 431: 428: 425: 422: 419: 416: 413: 410: 407: 404: 401: 398: 397: 387: 383: 379: 376: 373: 363: 359: 350: 348: 343: 339: 335: 332: 329: 326: 323: 320: 317: 314: 311: 308: 305: 302: 299: 296: 295: 292: 288: 285: 282: 279: 276: 260: 259: 248: 245: 240: 236: 232: 229: 226: 223: 220: 217: 214: 211: 208: 205: 202: 199: 196: 193: 190: 187: 184: 181: 167: 166: 155: 152: 147: 143: 139: 136: 133: 130: 127: 124: 121: 118: 113: 109: 105: 102: 99: 96: 93: 90: 87: 84: 81: 78: 75: 72: 69: 66: 63: 60: 57: 54: 24: 14: 13: 10: 9: 6: 4: 3: 2: 664: 653: 650: 648: 645: 644: 642: 633: 630: 629: 625: 618: 612: 609: 602: 600: 597: 593: 588: 586: 581: 579: 575: 571: 566: 564: 560: 555: 551: 524: 520: 516: 513: 510: 500: 496: 492: 477: 473: 466: 463: 460: 454: 451: 448: 443: 439: 435: 432: 429: 426: 423: 420: 417: 414: 405: 399: 385: 381: 377: 374: 371: 361: 357: 341: 337: 333: 330: 327: 324: 321: 318: 315: 312: 303: 297: 290: 286: 280: 274: 266: 263: 246: 238: 234: 230: 227: 224: 221: 218: 215: 212: 209: 200: 194: 191: 185: 179: 172: 171: 170: 153: 145: 141: 137: 134: 128: 125: 122: 116: 111: 107: 103: 100: 97: 94: 91: 88: 85: 82: 73: 67: 64: 58: 52: 45: 44: 43: 39: 37: 34: 30: 19: 647:Thermometers 611: 589: 582: 567: 556: 552: 267: 264: 261: 168: 40: 28: 26: 641:Categories 603:References 554:be found. 265:Together, 652:Equations 525:∘ 501:∘ 493:− 464:− 455:⋅ 436:⋅ 424:⋅ 386:∘ 372:≤ 362:∘ 334:⋅ 322:⋅ 231:∗ 219:∗ 138:∗ 126:− 104:∗ 92:∗ 489:if  353:if  33:platinum 594:. The 563:BS-1904 38:(RTD). 596:ITS-90 517:< 511:< 378:< 27:The 497:200 467:100 382:661 129:100 643:: 580:. 531:C 521:0 514:T 507:C 483:] 478:3 474:T 470:) 461:T 458:( 452:C 449:+ 444:2 440:T 433:B 430:+ 427:T 421:A 418:+ 415:1 412:[ 409:) 406:0 403:( 400:R 392:C 375:T 368:C 358:0 347:] 342:2 338:T 331:B 328:+ 325:T 319:A 316:+ 313:1 310:[ 307:) 304:0 301:( 298:R 291:{ 287:= 284:) 281:T 278:( 275:R 247:. 244:) 239:2 235:T 228:B 225:+ 222:T 216:A 213:+ 210:1 207:( 204:) 201:0 198:( 195:R 192:= 189:) 186:T 183:( 180:R 154:. 151:] 146:3 142:T 135:C 132:) 123:T 120:( 117:+ 112:2 108:T 101:B 98:+ 95:T 89:A 86:+ 83:1 80:[ 77:) 74:0 71:( 68:R 65:= 62:) 59:T 56:( 53:R 20:)

Index

Callendar-Van Dusen equation
platinum
resistance thermometers
DIN/IEC 60751 (also called IEC 751)
BS-1904
Hugh Longbourne Callendar
National Institute of Standards and Technology
Journal of the American Chemical Society
The International Practical Temperature Scale of 1968
The International Temperature Scale of 1990
ITS-90
https://www.wikapolska.pl/upload/DS_IN0029_en_co_59667.pdf
Caldus. Callendar-Van Dusen conversion between resistance and temperature in python.
Categories
Thermometers
Equations

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