Thermocouple Conversion Tables
B-2
Table B-1
NIST Quartic Coefficients for Types S, R, B, E, J, K, and T
Type S
Thermocouples
1
Temperature
Range (¡C) a
0
a
1
a
2
a
3
a
4
Error
Range (µV)
Quartic Equation Argument Exp. Argument Exp. Argument Exp. Argument Exp. Argument Exp.
Exact-
Approx.
-50 to 900 5.5439639 +0 1.0103667 -2 -1.0944499 -5 4.9628963 -9 -7 to 14
0 to 1100 5.8791282 +0 7.9098118 -3 -6.7450002 -6 2.5247577 -9 -16 to 12
0 to 1400 6.2516859 +0 5.8347856 -3 -3.4351369 -6 9.4022202 -10 -35 to 25
0 to 1650 6.5554932 +0 4.4519908 -3 -1.6378513 -6 2.4140360 -10 -55 to 35
0 to 1768 6.6834421 +0 3.9334084 -3 -1.0384046 -6 3.4244511 -11 -60 to 35
400 to 1100 -3.8051591 +2 8.7228147 +0 6.2984807 -4 9.0526670 -7 -2.9241601 -10 -.7 to .5
400 to 1400 -5.2412524 +2 9.5827994 +0 -1.2077351 -3 2.5723104 -6 -8.3681057 -10 -1.6 to 1.5
400 to 1650 -5.0061921 +2 9.4591354 +0 -9.7986687 -4 2.3967559 -6 -7.8837971 -10 -1.8 to 1.9
1050 to 1400 1.4352322 +3 2.9873073 +0 6.9951678 -3 -1.8986036 -6 6.5006637 -11 -.05 to .05
1050 to 1650 1.3054176 +3 3.4129348 +0 6.4741403 -3 -1.6163524 -6 7.9103746 -12 -.05 to .05
1400 to 1550 1.8695088 +2 6.4091373 +0 3.4664812 -3 -2.7553724 -7 -2.1606150 -10 -.05 to .05
1400 to 1650 1.0863331 +3 3.9952876 +0 5.8939317 -3 -1.3595782 -6 -3.4675031 -11 -.05 to .05
1400 to 1768 -7.4180405 +4 2.0043202 +2 -1.8607781 -1 8.1899566 -5 -1.3556030 -8 -1.0 to 1.3
1666 to 1768 8.2703440 +4 -1.3532278 +2 8.0243878 -2 -1.0633404 -5 -1.7212343 -9 -.05 to .05
Reference
Junction
Correction
0 to 50 5.3994446 +0 1.2467754 -2 1.9934168 -5 -0.01 to +0.01
1
Quartic approximations to the data as a function of temperature (¡C) in selected temperature ranges.
The expansion is of the form E = a
0
+ a
1
T + a
2
T
2
+ a
3
T
3
+ a
4
T
4
where E is in microvolts and T is in degrees Celsius.
Type S
Thermocouples
2
Temperature
Range (¡C) a
0
a
1
a
2
a
3
a
4
Error
Range (¡C)
Quartic Equation Argument Exp. Argument Exp. Argument Exp. Argument Exp. Argument Exp.
Exact-
Approx.
-50 to 900 1.6414048 -1 -2.0241757 -5 2.7849728 -9 -1.4172102 -13 -11 to 3
0 to 1100 1.5445376 -1 -1.3349067 -5 1.3626587 -9 -5.3270847 -14 -3 to 6
0 to 1400 1.4713897 -1 -9.0783455 -6 6.5660913 -10 -1.8499175 -14 -5 to 9
0 to 1650 1.4260554 -1 -7.0073775 -6 3.8981279 -10 -8.3047780 -15 -6 to 11
0 to 1768 1.4087955 -1 -6.3195007 -6 3.1267454 -10 -5.7422562 15 -6 to 12
400 to 1100 4.1137317 +1 1.1599785 -1 -1.8642979 -6 1.2643267 -11 8.4828836 -16 -.05 to .07
400 to 1400 4.4507790 +1 1.1373998 -1 -1.3349811 -6 -3.9224680 -11 2.6563405 15 -.08 to .08
400 to 1650 4.1670535 +1 1.1543356 -1 -1.6782780 -6 -1.0845801 -11 1.8379726 -15 -.2 to .2
1050 to 1400 -3.0938374 +1 1.4106560 -1 -4.9794442 -6 1.7334256 -10 -1.9262160 15 -.003 to .003
1050 to 1650 1.2226507 +1 1.2706383 -1 -3.2873314 -6 8.3038098 -11 -1.3019379 -16 -.010 to .010
1400 to 1550 1.3866867 +2 9.3486676 -2 4.8592708 -8 -6.3885209 -11 2.2896541 -15 -.0005 to .0005
1400 to 1650 1.3923740 +2 9.3267401 -2 7.7266682 -8 -6.5458208 -11 2.3208160 -15 -.0005 to .0005
1400 to 1768 4.5133695 +3 -1.0046437 +0 1.0322002 -4 -4.3637046 -9 6.9361610 -14 -.13 to .10
1666 to 1768 2.3131446 +4 -5.4122671 +0 4.9347196 -4 -1.9681943 -8 2.9430179 -13 -.0005 to .0005
2
Quartic approximations to the data as a function of voltage in selected temperature ranges (¡C).
The expansion is of the form T = a
0
+ a
1
E + a
2
E
2
+ a
3
E
3
+ a
4
E
4
where E is in microvolts and T is in degrees Celsius.