ITS-90 Thermocouple Direct and Inverse Polynomials

ITS-90 Thermocouple Direct & InversePolynomials Cont’dType T Thermocouples - coefficients, c i , of referenceequations giving the thermoelectric voltage, E, as afunction of temperature, t 90 , for the indicatedtemperature ranges. The equations are of the form:nE = c i (t 90 ) ii=0where E is in microvolts and t 90 is in degrees Celsius.Temperature -270 0Range: to to0°C 400°c 0 = 0.000 000 000 0.... 0.000 000 000 0....c 1 = 3.874 810 636 4 x10 1 3.874 810 636 4 x10 1c 2 = 4.419 443 434 7 x 10 -2 3.329 222 788 0 x10 -2c 3 = 1.184 432 310 5 x 10 -4 2.061 824 340 4 x 10 -4c 4 = 2.003 297 355 4 x 10 -5 -2.188 225 684 6 x 10 -6c 5 = 9.013 801 955 9 x 10 -7 1.099 688 092 8 x 10 -8c 6 = 2.265 115 659 3 x 10 -8 -3.081 575 877 2 x 10 -11c 7 = 3.607 115 420 5 x 10 -10 4.547 913 529 0 x 10 -14c 8 = 3.849 393 988 3 x 10 -12 -2.751 290 167 3 x 10 -17c 9 = 2.821 352 192 5 x 10 -14c 10 = 1.425 159 477 9 x 10 -16c 11 = 4.876 866 228 6 x 10 -19c 12 = 1.079 553 927 0 x 10 -21c 13 = 1.394 502 706 2 x 10 -24c 14 = 7.979 515 392 7 x 10 -28Type T Thermocouples - coefficients of approximateinverse functions giving temperature, t 90 , as a functionof the thermoelectric voltage, E, in selected temperatureand voltage ranges. The functions are of the form:t 90 = c 0 + c 1 E + c 2 E 2 +…c i E iwhere E is in microvolts and t 90 is in degrees Celsius.Temperature -200 0Range: to to0°C 400°CVoltage: -5,603 0Range: to to0 µV 20,872 µVc 0 = 0.000 000 0.... 0.000 000 ....c 1 = 2.592 919 2 x 10 -2 2.592 800 x 10 -2c 2 = -2.131 696 7 x 10 -7 -7.602 961 x 10 -7c 3 = 7.901 869 2 x 10 -10 4.637 791 x 10 -11c 4 = 4.252 777 7 x 10 -13 -2.165 394 x 10 -15c 5 = 1.330 447 3 x 10 -16 6.048 144 x 10 -20c 6 = 2.024 144 6 x 10 -20 -7.293 422 x 10 -25c 7 = 1.266 817 1 x 10 -24Error 0.04 0.03Range: to to-0.02°C-0.03°CType E Thermocouples - coefficients, c i , of referenceequations giving the thermoelectric voltage, E, as afunction of temperature, t 90 , for the indicatedtemperature ranges. The equations are of the form:nE = c i (t 90 ) ii=0where E is in microvolts and t 90 is in degrees Celsius.Temperature -270 0Range: to to0°C 400°Cc 0 = 0.000 000 000 0 .... 0.000 000 000 0 ....c 1 = 5.866 550 870 8 x10 1 5.866 550 871 0 x10 1c 2 = 4.541 097 712 4 x 10 -2 4.503 227 558 2 x10 -2c 3 = -7.799 804 868 6 x 10 -4 2.890 840 721 2 x 10 -5c 4 = -2.580 016 084 3 x 10 -5 -3.305 689 665 2 x 10 -7c 5 = -5.945 258 305 7 x 10 -7 6.502 440 327 0 x 10 -10c 6 = -9.321 405 866 7 x 10 -9 -1.919 749 550 4 x 10 -1c 7 = -1.028 760 553 4 x 10 -10 -1.253 660 049 7 x 10 -15c 8 = -8.037 012 362 1 x 10 -13 2.148 921 756 9 x 10 -18c 9 = -4.397 949 739 1 x 10 -15 -1.438 804 178 2 x 10 -21c 10 = -1.641 477 635 5 x 10 -17 3.596 089 948 1 x 10 -25c 11 = -3.967 361 951 6 x 10 -20c 12 = -5.582 732 872 1 x 10 -23c 13 = -3.465 784 201 3 x 10 -26Z-199Type E Thermocouples - coefficients of approximateinverse functions giving temperature, t 90 , as a functionof the thermoelectric voltage, E, in selected temperatureand voltage ranges. The functions are of the form:t 90 = c 0 + c 1 E + c 2 E 2 +… c i E iwhere E is in microvolts and t 90 is in degrees Celsius.Temperature -200 0Range: to to0°C 1,000°CVoltage -8,825 0Range: to to0 µV 76,373 µVc 0 = 0.000 000 0 .... 0.000 000 0 ....c 1 = 1.697 728 8 x 10 -2 1.705 703 5 x 10 -2c 2 = -4.351 497 0 x 10 -7 -2.330 175 9 x 10 -7c 3 = -1.585 969 7 x 10 -10 6.543 558 5 x 10 -12c 4 = -9.250 287 1 x 10 -14 -7.356 274 9 x 10 -17c 5 = -2.608 431 4 x 10 -17 -1.789 600 1 x 10 -21c 6 = -4.136 019 9 x 10 -21 8.403 616 5 x 10 -26c 7 = -3.403 403 0 x 10 -25 -1.373 587 9 x 10 -30c 8 = -1.156 489 0 x 10 -29 1.062 982 3 x 10 -35c 9 = -3.244 708 7 x 10 -41Error 0.03 0.02Range: to to-0.01°C-0.02°C