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I'm currently using the ITS-90 formula to convert a resistance of an RTD to a temperature. I got the coefficients from the manufacturers calibration sheet. The problem is I have another probe that I don't have the ITS-90 coefficients for. Is there a standard theoretical set of coefficients that I can use?

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Yes. RTDs are standardized by IEC-751 and EN 60751.

IEC-751 tabular values from Thermometrics

EN 60751 formulas from Omega engineering

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