with \(a_0=2\) and \(a_n=\ 4\) for \(n\ge1\) \cite{Karageorghis_1988}. Conveniently, computation of \(R\) and \(\eta\) can be done for us automatically from the Chebyshev coefficients \(c_n\) for any given \(T\) in the domain \(\left[T_{\min},\ T_{\max}\right]\) using the Python routines presented below.
Zero-field R(T) calibration
In this example, we calculate Chebyshev coefficients from zero field calibration data for a commercially calibrated resistive thermometer. In later examples, we determine the corresponding coefficient values in non-zero magnetic fields. To see and run the underlying Python code, click on the </> Code button to the left of Fig. \ref{249499} below.
Load Python packages for data fitting
For these fits, we use the
Chebyshev convenience class routines included in the Numerical Python (Numpy)
Polynomial package. Please see the Numerical Python reference manual and the example code attached to Fig.
\ref{249499} below for further details.