Problem: Temperature Dependent Resistance

Resistors made of pure Pt metal are often used to measure temperature down to about 20 K (below that temperature the sensitivity dramatically decreases). In Table 7.1 we reproduced the calibration points for a standard, ``100 '' Pt resistor. Show that the Bloch-Grüneisen formula gives a satisfactory fit to these data for temperatures below 350 K. (The Debye temperature of Pt is 230 K. The Bloch-Grüneisen function, Eq. , is tabulated in Landolt-Börnstein [21] Vol. 15, p. 287. It can also be calculated by numerical integration.)

  
Table 7.1: Calibration data for a typical ``100 '' Pt resistor.