NIST Temperature Scale Database (SRD 60), Version 3.0
Inverse Function Coefficients:
The general form for T90 (°C) as a function of the emf E(mV) is:
Notes:
- The thermocouple types have a set reference functions for different temperature ranges.
- The range of errors (-μ, +μ) of the approximate inverse function T90 (°C) for each subrange is also given.
- Ti, Tf, Ei, Ef are Temperature and Energy, Initial and Final, respectively.
| Type | Range | Ti (°C) | Tf (°C) | Ei (°C) | Ef (°C) | -μ (°C) | +μ (°C) | Ord | d0 | d1 | d2 | d3 | d4 | d5 | d6 | d7 | d8 | d9 | d10 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B | 1 | 250. | 700. | 0.291 | 2.431 | -0.02 | 0.03 | 8 | 9.8423321E+01 | 6.9971500E+02 | -8.4765304E+02 | 1.0052644E+03 | -8.3345952E+02 | 4.5508542E+02 | -1.5523037E+02 | 2.9886750E+01 | -2.4742860E+00 | ||
| 2 | 700. | 1820. | 2.431 | 13.820 | -0.01 | 0.02 | 8 | 2.1315071E+02 | 2.8510504E+02 | -5.2742887E+01 | 9.9160804E+00 | -1.2965303E+00 | 1.1195870E-01 | -6.0625199E-03 | 1.8661696E-04 | -2.4878585E-06 | |||
| E | 1 | -200. | 0. | -8.825 | 0.000 | -0.01 | 0.03 | 9 | 0.0000000E+00 | 1.6977288E+01 | -4.3514970E-01 | -1.5859697E-01 | -9.2502871E-02 | -2.6084314E-02 | -4.1360199E-03 | -3.4034030E-04 | -1.1564890E-05 | 0.0000000E+00 | |
| 2 | 0. | 1000. | 0.000 | 76.373 | -0.02 | 0.02 | 9 | 0.0000000E+00 | 1.7057035E+01 | -2.3301759E-01 | 6.5435585E-03 | -7.3562749E-05 | -1.7896001E-06 | 8.4036165E-08 | -1.3735879E-09 | 1.0629823E-11 | -3.2447087E-14 | ||
| J | 1 | -210. | 0. | -8.095 | 0. | -0.05 | 0.03 | 8 | 0.0000000E+00 | 1.9528268E+01 | -1.2286185E+00 | -1.0752178E+00 | -5.9086933E-01 | -1.7256713E-01 | -2.8131513E-02 | -2.3963370E-03 | -8.3823321E-05 | ||
| 2 | 0. | 760. | 0. | 42.919 | -0.04 | 0.04 | 8 | 0.000000E+00 | 1.978425E+01 | -2.001204E-01 | 1.036969E-02 | -2.549687E-04 | 3.585153E-06 | -5.344285E-08 | 5.099890E-10 | 0.000000E+00 | |||
| 3 | 760. | 1200. | 42.919 | 69.553 | -0.04 | 0.03 | 8 | -3.11358187E+03 | 3.00543684E+02 | -9.94773230E+00 | 1.70276630E-01 | -1.43033468E-03 | 4.73886084E-06 | 0.00000000E+00 | 0.00000000E+00 | 0.00000000E+00 | |||
| K | 1 | -200. | 0. | -5.891 | 0. | -0.02 | 0.04 | 9 | 0.0000000E+00 | 2.5173462E+01 | -1.1662878E+00 | -1.0833638E+00 | -8.9773540E-01 | -3.7342377E-01 | -8.6632643E-02 | -1.0450598E-02 | -5.1920577E-04 | 0.0000000E+00 | |
| 2 | 0. | 500. | 0. | 20.644 | -0.05 | 0.04 | 9 | 0.000000E+00 | 2.508355E+01 | 7.860106E-02 | -2.503131E-01 | 8.315270E-02 | -1.228034E-02 | 9.804036E-04 | -4.413030E-05 | 1.057734E-06 | -1.052755E-08 | ||
| 3 | 500. | 1372. | 20.644 | 54.886 | -0.05 | 0.06 | 9 | -1.318058E+02 | 4.830222E+01 | -1.646031E+00 | 5.464731E-02 | -9.650715E-04 | 8.802193E-06 | -3.110810E-08 | 0.000000E+00 | 0.000000E+00 | 0.000000E+00 | ||
| N | 1 | -200. | 0. | -5.891 | 0. | -0.02 | 0.04 | 9 | 0.0000000E+00 | 2.5173462E+01 | -1.1662878E+00 | -1.0833638E+00 | -8.9773540E-01 | -3.7342377E-01 | -8.6632643E-02 | -1.0450598E-02 | -5.1920577E-04 | 0.0000000E+00 | |
| 2 | 0. | 500. | 0. | 20.644 | -0.05 | 0.04 | 9 | 0.000000E+00 | 2.508355E+01 | 7.860106E-02 | -2.503131E-01 | 8.315270E-02 | -1.228034E-02 | 9.804036E-04 | -4.413030E-05 | 1.057734E-06 | -1.052755E-08 | ||
| 3 | 500. | 1372. | 20.644 | 54.886 | -0.05 | 0.06 | 9 | -1.318058E+02 | 4.830222E+01 | -1.646031E+00 | 5.464731E-02 | -9.650715E-04 | 8.802193E-06 | -3.110810E-08 | 0.000000E+00 | 0.000000E+00 | 0.000000E+00 | ||
| 1 | -200. | 0. | -3.990 | 0. | -0.02 | 0.03 | 9 | 0.0000000E+00 | 3.8436847E+01 | 1.1010485E+00 | 5.2229312E+00 | 7.2060525E+00 | 5.8488586E+00 | 2.7754916E+00 | 7.7075166E-01 | 1.1582665E-01 | 7.3138868E-03 | ||
| 2 | 0. | 600. | 0. | 20.613 | -0.02 | 0.03 | 9 | 0.000000E+00 | 3.868960E+01 | -1.082670E+00 | 4.702050E-02 | -2.121690E-06 | -1.172720E-04 | 5.392800E-06 | -7.981560E-08 | 0.000000E+00 | 0.000000E+00 | ||
| 3 | 600. | 1300. | 20.613 | 47.513 | -0.04 | 0.02 | 9 | 1.972485E+01 | 3.300943E+01 | -3.915159E-01 | 9.855391E-03 | -1.274371E-04 | 7.767022E-07 | 0.000000E+00 | 0.000000E+00 | 0.000000E+00 | 0.000000E+00 | ||
| R | 1 | 50. | 250. | .-0.226 | 1.923 | -0.02 | 0.02 | 10 | 0.0000000E+00 | 1.8891380E+02 | -9.3835290E+01 | 1.3068619E+02 | -2.2703580E+02 | 3.5145659E+02 | -3.8953900E+02 | 2.8239471E+02 | -1.2607281E+02 | 3.1353611E+01 | -3.3187769E+00 |
| 2 | 250. | 1200. | 1.923 | 13.228 | -0.005 | 0.005 | 10 | 1.334584505E+01 | 1.472644573E+02 | -1.844024844E+01 | 4.031129726E+00 | -6.249428360E-01 | 6.468412046E-02 | -4.458750426E-03 | 1.994710149E-04 | -5.313401790E-06 | 6.481976217E-08 | 0.000000000E+00 | |
| 3 | 1064. | 1664.5 | 11.361 | 19.739 | -0.0005 | 0.001 | 10 | -8.199599416E+01 | 1.553962042E+02 | -8.342197663E+00 | 4.279433549E-01 | -1.191577910E-02 | 1.492290091E-04 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | |
| 4 | 1664.5 | 1768.1 | 19.739 | 21.103 | -0.001 | 0.002 | 10 | 3.406177836E+04 | -7.023729171E+03 | 5.582903813E+02 | -1.952394635E+01 | 2.560740231E-01 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | |
| S | 1 | 50. | 250. | -0.235 | 1.874 | -0.02 | 0.02 | 9 | 0.00000000E+00 | 1.84949460E+02 | -8.00504062E+01 | 1.02237430E+02 | -1.52248592E+02 | 1.88821343E+02 | -1.59085941E+02 | 8.23027880E+01 | -2.34181944E+01 | 2.79786260E+00 | |
| 2 | 250. | 1200. | 1.874 | 11.950 | -0.01 | 0.01 | 9 | 1.291507177E+01 | 1.466298863E+02 | -1.534713402E+01 | 3.145945973E+00 | -4.163257839E-01 | 3.187963771E-02 | -1.291637500E-03 | 2.183475087E-05 | -1.447379511E-07 | 8.211272125E-09 | ||
| 3 | 1064. | 1664.5 | 10.332 | 17.536 | -0.0002 | 0.0002 | 9 | -8.087801117E+01 | 1.621573104E+02 | -8.536869453E+00 | 4.719686976E-01 | -1.441693666E-02 | 2.081618890E-04 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | ||
| 4 | 1664.5 | 1768.1 | 17.536 | 18.693 | -0.002 | 0.002 | 9 | 5.333875126E+04 | -1.235892298E+04 | 1.092657613E+03 | -4.265693686E+01 | 6.247205420E-01 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | 0.000000000E+00 | ||
| T | 1 | -200. | 0. | -5.603 | -0.000 | -0.02 | 0.04 | 7 | 0.0000000E+00 | 2.5949192E+01 | -2.1316967E-01 | 7.9018692E-01 | 4.2527777E-01 | 1.3304473E-01 | 2.0241446E-02 | 1.2668171E-03 | |||
| 2 | 0. | 400. | 0.000 | 20.872 | -0.03 | 0.03 | 7 | 0.000000E+00 | 2.592800E+01 | -7.602961E-01 | 4.637791E-02 | -2.165394E-03 | 6.048144E-05 | -7.293422E-07 | 0.000000E+00 |