Thermistors
Arroyo Instruments uses thermistors in many of its temperature controlled mounts, and also offers them for individual sale for custom applications (see p/n 1600-10K). We use a common thermistor in all of our mounts, a BetaTHERM 10K3A1A negative temperature coefficient (NTC) thermistor. Thermistors work by translating temperature into resistance, with resistance decreasing as temperature increases (hence the ‘negative coefficient’).
The graph below illustrates the resistance of the thermistor as a function of the temperature:
BetaTHERM 10K3 Resistance vs. Temperature Graph

As can be seen be the graph, the resistance of the thermistor drops very quickly. In the typical control range (0°C to 40°C), 10K thermistors offer good sensitivity to changes in temperature, and this is the range in which most 10K thermistors are typically used. 10K thermistors can be used at much higher temperatures, but will suffer poorer temperature stability performance because of the lower sensitivity.
The Steinhart-Hart Equation
Resistance varies inversely with temperature in a non-linear fashion. This relationship can be accurately modeled by the Steinhart-Hart equation:

Where:
A = 1.12924E-03
B = 2.34108E-04
C = 0.87755E-07
R = actual thermistor resistance, in ohms
By default, all Arroyo Instruments temperature controllers use these constants, but any set of Steinhart-Hart contants will work. If you are using a thermistor other than the BetaTHERM 10K3, contact your thermistor manufacturer for their Steinhart-Hart constants.
BetaTHERM 10K3 Resistance vs Temperature Chart

Additional details and specifications can be found in the BetaTHERM datasheet, located here.