Section: 15 | Standard ITS-90 Thermocouple Tables |
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John R. Rumble, ed., CRC Handbook of Chemistry and Physics, 102nd Edition (Internet Version 2021), CRC Press/Taylor & Francis, Boca Raton, FL.
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STANDARD ITS-90 THERMOCOUPLE TABLES

The Instrument Society of America (ISA) has assigned standard letter designations to a number of thermocouple types having specified emf-temperature relations. These designations and the approximate metal compositions that meet the required relations, as well as the useful temperature ranges, are given below.

TABLE 1. Designation and Composition of Various Metals Used in Thermocouples



TypeCompositiont
Type B(Pt + 30% Rh) vs. (Pt + 6% Rh)0 to 1820 °C
Type E(Ni + 10% Cr) vs. (Cu + 43% Ni)–270 to 1000 °C
Type JFe vs. (Cu + 43% Ni)–210 to 1200 °C
Type K(Ni + 10% Cr) vs. (Ni + 2% Al + 2% Mn + 1% Si)–270 to 1372 °C
Type N(Ni + 14% Cr + 1.5% Si) vs. (Ni + 4.5% Si + 0.1% Mg)–270 to 1300 °C
Type R(Pt + 13% Rh) vs. Pt–50 to 1768 °C
Type S(Pt + 10% Rh) vs. Pt–50 to 1768 °C
Type TCu vs. (Cu + 43% Ni)–270 to 400 °C


The compositions are given in weight percent, and the positive leg is listed first. It should be emphasized that the standard letter designations do not imply a precise composition but rather that the specified emf-temperature relation is satisfied.

Tables 2, 4, 6, 8, 10, 12, 14, and 16 contain, for each thermocouple type, the emf as a function of temperature on the International Temperature Scale of 1990 (ITS-90). The left-most column has temperature t at 100 °C intervals. Columns to the right have temperatures at t ± n °C intervals where n = 10, 20, 30, etc., as indicated in the column heading. The values in these tables were calculated using the following equation.

E = c0 + c1t + c2t2 + c3t3 + … cntn 

where E is the emf in millivolts, t is the temperature in degrees Celsius (ITS-90), and c0, c1, c2, c3, etc., are the coefficients, which have been extracted from Ref. 1. For Type K thermocouples, an additional term in the equation is required as discussed in the Note. The coefficients in the equation used to generate the table are also given in Tables 3, 5, 7, 9, 11, 13, 15, and 17, respectively.

Tables 18-25 give the inverse relationships, i.e., the coefficients in the polynomial equation that expresses the temperature as a function of thermocouple emf. The accuracy of these equations is also stated.

Further details and tables at closer intervals may be found in Ref. 1.

References

  1. Burns, G. W., Seroger, M. G., Strouse, G. F., Croarkin, M. C., and Guthrie, W. F., Temperature-Electromotive Force Reference Functions and Tables for the Letter-Designated Thermocouple Types Based on the ITS-90, Monograph 175, Natl. Inst. Stand. Tech. (U.S.), Washington, DC, 1993.
  2. Schooley, J. F., Thermometry, CRC Press, Boca Raton, FL, 1986. [https://doi.org/10.6028/NBS.IR.85-3133]

Type B Thermocouples: emf-Temperature (°C) Reference Table and Equations

TABLE 2. Type B Thermocouple emf in mV as a Function of Temperature (t) in °C (ITS-90); Reference Junctions at 0 °C



t/°Ct+0/°Ct+10/ °Ct+20/ °Ct+30/ °Ct+40/ °Ct+50/ °Ct+60/ °Ct+70/ °Ct+80/ °Ct+90/ °Ct+100/ °C
00.000-0.002-0.003-0.002-0.0000.0020.0060.0110.0170.0250.033
1000.0330.0430.0530.0650.0780.0920.1070.1230.1410.1590.178
2000.1780.1990.2200.2430.2670.2910.3170.3440.3720.4010.431
3000.4310.4620.4940.5270.5610.5960.6320.6690.7070.7460.787
4000.7870.8280.8700.9130.9571.0021.0481.0951.1431.1921.242
5001.2421.2931.3441.3971.4511.5051.5611.6171.6751.7331.792
6001.7921.8521.9131.9752.0372.1012.1652.2302.2962.3632.431
7002.4312.4992.5692.6392.7102.7822.8542.9283.0023.0783.154
8003.1543.2303.3083.3863.4663.5463.6263.7083.7903.8733.957
9003.9574.0414.1274.2134.2994.3874.4754.5644.6534.7434.834
10004.8344.9265.0185.1115.2055.2995.3945.4895.5855.6825.780
11005.7805.8785.9766.0756.1756.2766.3776.4786.5806.6836.786
12006.7866.8906.9957.1007.2057.3117.4177.5247.6327.7407.848
13007.8487.9578.0668.1768.2868.3978.5088.6208.7318.8448.956
14008.9569.0699.1829.2969.4109.5249.6399.7539.8689.98410.099
150010.09910.21510.33110.44710.56310.67910.79610.91311.02911.14611.263
160011.26311.38011.49711.61411.73111.84811.96512.08212.19912.31612.433
170012.43312.54912.66612.78212.89813.01413.13013.24613.36113.47613.591
180013.59113.70613.820


TABLE 3. Coefficients in the Equation for Type B Thermocouples



Coeff.0 °C to 630.615 °C630.615 °C to 1820 °C
c00.000 000 000 0–3.893 816 862 1 ...
c1–2.465 081 834 6 × 10-42.857 174 747 0 × 10-2
c25.904 042 117 1 × 10-6–8.488 510 478 5 × 10-5
c3–1.325 793 163 6 × 10-91.578 528 016 4 × 10-7
c41.566 829 190 1 × 10-12–1.683 534 486 4 × 10-10
c5– 1.694 452 924 0 × 10-151.110 979 401 3 × 10-13
c66.299 034 709 4 × 10-19–4.451 543 103 3 × 10-17
c7............9.897 564 082 1 × 10-21
c8............–9.379 133 028 9 × 10-25


Type E Thermocouples: emf-Temperature (°C) Reference Table and Equations

TABLE 4. Type E Thermocouple emf in mV as a Function of Temperature (t) in °C (ITS-90); Reference Junctions at 0 °C



t/°Ct-0/°Ct-10/°Ct-20/°Ct-30/°Ct-40/°Ct-50/°Ct-60/°Ct-70/°Ct-80/°Ct-90/°Ct-100/°C
-200-8.825-9.063-9.274-9.455-9.604-9.718-9.797-9.835
-100-5.237-5.681-6.107-6.516-6.907-7.279-7.632-7.963-8.273-8.561-8.825
00.000-0.582-1.152-1.709-2.255-2.787-3.306-3.811-4.302-4.777-5.237
t/°Ct+0/°C
t+10/°C
t+20/°C
t+30/°C
t+40/°C
t+50/°C
t+60/°C
t+70/°C
t+80/°C
t+90/°C
t+100/°C
00.0000.5911.1921.8012.4203.0483.6854.3304.9855.6486.319
1006.3196.9987.6858.3799.0819.78910.50311.22411.95112.68413.421
20013.42114.16414.91215.66416.42017.18117.94518.71319.48420.25921.036
30021.03621.81722.60023.38624.17424.96425.75726.55227.34828.14628.946
40028.94629.74730.55031.35432.15932.96533.77234.57935.38736.19637.005
50037.00537.81538.62439.43440.24341.05341.86242.67143.47944.28645.093
60045.09345.90046.70547.50948.31349.11649.91750.71851.51752.31553.112
70053.11253.90854.70355.49756.28957.08057.87058.65959.44660.23261.017
80061.01761.80162.58363.36464.14464.92265.69866.47367.24668.01768.787
90068.78769.55470.31971.08271.84472.60373.36074.11574.86975.62176.373
100076.373


TABLE 5. Coefficients in the Equation for Type E Thermocouples



Coeff.–270 to 0 °C0 °C to 1000 °C
co0.000 000 000 0 ...0.000 000 000 0 ...
c15.866 550 870 8 × 10-25.866 550 871 0 x 10-2
c24.541 097 712 4 × 10-54.503 227 558 2 × 10-5
c3–7.799 804 868 6 × 10-72.890 840 721 2 x 10-8
c4–2.580 016 084 3 × 10-8–3.305 689 665 2 × 10-10
c5–5.945 258 305 7 × 10-106.502 440 327 0 × 10-13
c6–9.321 405 866 7 × 10-12–1.919 749 550 4 × 10-16
c7–1.028 760 553 4 × 10-13–1.253 660 049 7 × 10-18
c8–8.037 012 362 1 × 10-162.148 921 756 9 × 10-21
c9–4.397 949 739 1 × 10-18–1.438 804 178 2 × 10-24
c10–1.641 477 635 5 × 10-203.596 089 948 1 × 10-28
c11–3.967 361 951 6 × 10-23............
c12–5.582 732 872 1 × 10-26............
c13–3.465 784 201 3 × 10-29............


Type J Thermocouples: emf-Temperature (°C) Reference Table and Equations

TABLE 6. Type J Thermocouple emf in mV as a Function of Temperature (t) in °C (ITS-90); Reference Junctions at 0 °C



t/°Ct-0/°Ct-10/°Ct-20/°Ct-30/°Ct-40/°Ct-50/°Ct-60/°Ct-70/°Ct-80/°Ct-90/°Ct-100/°C
-200-7.890-8.095
-100-4.633-5.037-5.426-5.801-6.159-6.500-6.821-7.123-7.403-7.659-7.890
00.000-0.501-0.995-1.482-1.961-2.431-2.893-3.344-3.786-4.215-4.633
t/°C
t+0/°C
t+10/°C
t+20/°C
t+30/°C
t+40/°C
t+50/°C
t+60/°C
t+70/°C
t+80/°C
t+90/°C
t+100/°C
00.0000.5071.0191.5372.0592.5853.1163.6504.1874.7265.269
1005.2695.8146.3606.9097.4598.0108.5629.1159.66910.22410.779
20010.77911.33411.88912.44513.00013.55514.11014.66515.21915.77316.327
30016.32716.88117.43417.98618.53819.09019.64220.19420.74521.29721.848
40021.84822.40022.95223.50424.05724.61025.16425.72026.27626.83427.393
50027.39327.95328.51629.08029.64730.21630.78831.36231.93932.51933.102
60033.10233.68934.27934.87335.47036.07136.67537.28437.89638.51239.132
70039.13239.75540.38241.01241.64542.28142.91943.55944.20344.84845.494
80045.49446.14146.78647.43148.07448.71549.35349.98950.62251.25151.877
90051.87752.50053.11953.73554.34754.95655.56156.16456.76357.36057.953
100057.95358.54559.13459.72160.30760.89061.47362.05462.63463.21463.792
110063.79264.37064.94865.52566.10266.67967.25567.83168.40668.98069.553
120069.553


TABLE 7. Coefficients in the Equation for Type J Thermocouples



Coeff.–260 °C to 760 °C760 °C to 1200 °C
c00.000 000 000 0 ...2.964 562 568 1 × 102
c15.038 118 781 5 × 10−2–1.497 612 778 6 ...
c23.047 583 693 0 × 10−53.178 710 392 4 × 10−3
c31.322 819 529 5 × 10−101.572 081 900 4 × 10−9
c5–1.705 295 833 7 × 10−13–3.069 136 905 6 × 10−13
c62.094 809 069 7 × 10−16............
c7–1.253 839 533 6 × 10−19............
c81.563 172 569 7 × 10−23............


Type K Thermocouples: emf-Temperature (°C) Reference Table and Equations

TABLE 8. Type K Thermocouple emf in mV as a Function of Temperature (t) in °C (ITS-90); Reference Junctions at 0 °C



t/°Ct-0/°Ct-10/°Ct-20/°Ct-30/°Ct-40/°Ct-50/°Ct-60/°Ct-70/°Ct-80/°Ct-90/°Ct-100/°C
-200-5.891-6.035-6.158-6.262-6.344-6.404-6.441-6.458
-100-3.554-3.852-4.138-4.411-4.669-4.913-5.141-5.354-5.550-5.730-5.891
00.000-0.392-0.778-1.156-1.527-1.889-2.243-2.587-2.920-3.243-3.554
t/°C
t+0/°C
t+10/°C
t+20/°C
t+30/°C
t+40/°C
t+50/°C
t+60/°C
t+70/°C
t+80/°C
t+90/°C
t+100/°C
00.0000.3970.7981.2031.6122.0232.4362.8513.2673.6824.096
1004.0964.5094.9205.3285.7356.1386.5406.9417.3407.7398.138
2008.1388.5398.9409.3439.74710.15310.56110.97111.38211.79512.209
30012.20912.62413.04013.45713.87414.29314.71315.13315.55415.97516.397
40016.39716.82017.24317.66718.09118.51618.94119.36619.79220.21820.644
50020.64421.07121.49721.92422.35022.77623.20323.62924.05524.48024.905
60024.90525.33025.75526.17926.60227.02527.44727.86928.28928.71029.129
70029.12929.54829.96530.38230.79831.21331.62832.04132.45332.86533.275
80033.27533.68534.09334.50134.90835.31335.71836.12136.52436.92537.326
90037.32637.72538.12438.52238.91839.31439.70840.10140.49440.88541.276
100041.27641.66542.05342.44042.82643.21143.59543.97844.35944.74045.119
110045.11945.49745.87346.24946.62346.99547.36747.73748.10548.47348.838
120048.83849.20249.56549.92650.28650.64451.00051.35551.70852.06052.410
130052.41052.75953.10653.45153.79554.13854.47954.819

  • NOTE—In the 0 °C to 1372 °C range, there is also an exponential term that must be evaluated and added to the equation. The exponential term is of the form c0ec1(t–126.9686)2, where t is the temperature in °C, e is the natural logarithm base, and c0 and c1 are the coefficients. These coefficients are extracted from Ref. 1.


TABLE 9. Coefficients in the Equation for Type K Thermocouples



Coeff.−270 °C to 0 °C0 °C to 1372 °C0 °C to 1372 °C (Exponential term)
c00.000 000 000 0−1.760 041 368 6 × 10−21.185 976 × 10−1
c13.945 012 802 5 × 10−23.892 120 497 5 × 10−2–1.183 432 × 10−4
c22.362 237 359 8 × 10−51.855 877 003 2 × 10−5............
c3–3.285 890 678 4 × 10−7–9.945 759 287 4 × 10−8............
c4–4.990 482 877 7 × 10−93.184 094 571 9 × 10−10............
c5–6.750 905 917 3 × 10−11–5.607 284 488 9 × 10−13............
c6–5.741 032 742 8 × 10−135.607 505 905 9 × 10−16............
c7–3.108 887 289 4 × 10−15–3.202 072 000 3 × 10−19............
c8–1.045 160 936 5 × 10−179.715 114 715 2 × 10−23............
c9–1.988 926 687 8 × 10−20–1.210 472 127 5 × 10−26............
c10–1.632 269 748 6 × 10−23........................


Type N Thermocouples: emf-Temperature (°C) Reference Table and Equations

TABLE 10. Type N Thermocouple emf in mV as a Function of Temperature (t) in °C (ITS-90); Reference Junctions at 0 °C



t/°Ct-0/°Ct-10/°Ct-20/°Ct-30/°Ct-40/°Ct-50/°Ct-60/°Ct-70/°Ct-80/°Ct-90/°Ct-100/°C
-2003.990-4.083-4.162-4.226-4.277-4.313-4.336-4.345
-100-2.407-2.6122.8082.9943.1713.336-3.4913.634-3.766-3.884-3.990
00.000-0.260-0.518-0.772-1.023-1.269-1.5091.744-1.972-2.193-2.407
t/°C
t+0/°C
t+10/°C
t+20/°C
t+30/°C
t+40/°C
t+50/°C
t+60/°C
t+70/°C
t+80/°C
t+90/°C
t+100/°C
00.0000.2610.5250.7931.0651.3401.6191.9022.1892.4802.774
1002.7743.0723.3743.6803.9894.3024.6184.9375.2595.5855.913
2005.9136.2456.5796.9167.2557.5977.9418.2888.6378.9889.341
3009.3419.69610.05410.41310.77411.13611.50111.86712.23412.60312.974
40012.97413.34613.71914.09414.46914.84615.22515.60415.98416.36616.748
50016.74817.13117.51517.90018.28618.67219.05919.44719.83520.22420.613
60020.61321.00321.39321.78422.17522.56622.95823.35023.74224.13424.527
70024.52724.91925.31225.70526.09826.49126.88327.27627.66928.06228.455
80028.45528.84729.23929.63230.02430.41630.80731.19931.59031.98132.371
90032.37132.76133.15133.54133.93034.31934.70735.09535.48235.86936.256
100036.25636.64137.02737.41137.79538.17938.56238.94439.32639.70640.087
110040.08740.46640.84541.22341.60041.97642.35242.72743.10143.47443.846
120043.84644.21844.58844.95845.32645.69446.06046.42546.78947.15247.513
130047.513


TABLE 11. Coefficients in the Equation for Type N Thermocouples



Coeff.–270 °C to 0 °C0 °C to 1300 °C
c00.000 000 000 0 ...0.000 000 000 0 ...
c12.615 910 596 2 × 10−22.592 939 460 1 × 10–2
c21.095 748 422 8 × 10−51.571 014 188 0 × 10–5
c3–9.384 111 155 4 × 10−84.382 562 723 7 × 10–8
c4–4.641 203 975 9 × 10−11–2.526 116 979 4 × 10–10
c5–2.630 335 771 6 × 10−126.431 181 933 9 × 10–13
c6–2.265 343 800 3 × 10−14–1.006 347 151 9 × 10–15
c7–7.608 930 079 1 × 10−179.974 533 899 2 × 10–19
c8–9.341 966 783 5 × 10−20–6.086 324 560 7 × 10–22
c9............2.084 922 933 9 × 10–25
c10............–3.068 219 615 1 × 10–29


Type R Thermocouples: emf-Temperature (°C) Reference Table and Equations

TABLE 12. Type R Thermocouple emf in mV as a Function of Temperature (t) in °C (ITS-90); Reference Junctions at 0 °C



t/°Ct-0/°Ct-10/°Ct-20/°Ct-30/°Ct-40/°Ct-50/°Ct-60/°Ct-70/°Ct-80/°Ct-90/°Ct-100/°C
Continued on next page...
00.000-0.051-0.100-0.145-0.188-0.226
t/°C
t+0/°C
t+10/°C
t+20/°C
t+30/°C
t+40/°C
t+50/°C
t+60/°C
t+70/°C
t+80/°C
t+90/°C
t+100/°C
00.0000.0540.1110.1710.2320.2960.3630.4310.5010.5730.647
1000.6470.7230.8000.8790.9591.0411.1241.2081.2941.3811.469
2001.4691.5581.6481.7391.8311.9232.0172.1122.2072.3042.401
3002.4012.4982.5972.6962.7962.8962.9973.0993.2013.3043.408
4003.4083.5123.6163.7213.8273.9334.0404.1474.2554.3634.471
5004.4714.5804.6904.8004.9105.0215.1335.2455.3575.4705.583
6005.5835.6975.8125.9266.0416.1576.2736.3906.5076.6256.743
7006.7436.8616.9807.1007.2207.3407.4617.5837.7057.8277.950
8007.9508.0738.1978.3218.4468.5718.6978.8238.9509.0779.205
9009.2059.3339.4619.5909.7209.8509.98010.11110.24210.37410.506
100010.50610.63810.77110.90511.03911.17311.30711.44211.57811.71411.850
110011.85011.98612.12312.26012.39712.53512.67312.81212.95013.08913.228
120013.22813.36713.50713.64613.78613.92614.06614.20714.34714.48814.629
130014.62914.77014.91115.05215.19315.33415.47515.61615.75815.89916.040
140016.04016.18116.32316.46416.60516.74616.88717.02817.16917.31017.451
150017.45117.59117.73217.87218.01218.15218.29218.43118.57118.71018.849
160018.84918.98819.12619.26419.40219.54019.67719.81419.95120.08720.222


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The 'Search Chemicals' page can be found by clicking the flask icon in the navigation bar at the top of this page. For more detailed information on how to use the chemical search, including adding properties, saving searches, exporting search results and more, click the help icon in to top right of this page, next to the welcome login message.

Below is an example of a chemical entry, showing its structure, physical properties and document tables in which it appears.

image of an example chemical entry
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Cookie Policy

Cookie Policy

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You can also contact the Privacy Officer for the Informa PLC group at [email protected].


Our Cookies

Here is a list of cookies we have defined as 'Strictly Necessary':

Taylor and Francis 'First Party' Cookies

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Here is a list of the cookies we have defined as 'Performance'.

'Third Party' Cookies

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Taylor & Francis has chosen to complete the International version of VPAT which encompasses Section 508 (US), EN 301 549 (EU) and WCAG2.1 (Web Content Accessibility Guidelines) for its products.

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