**Steinhart–Hart Equation**

In practice, the linear approximation (above) works only over a small temperature range. For accurate temperature measurements, the resistance/temperature curve of the device must be described in more detail. The Steinhart–Hart equation is a widely used third-order approximation:

where *a*, *b* and *c* are called the Steinhart–Hart parameters, and must be specified for each device. *T* is the temperature in kelvin and *R* is the resistance in ohms. To give resistance as a function of temperature, the above can be rearranged into:

where

- and

The error in the Steinhart–Hart equation is generally less than 0.02 °C in the measurement of temperature over a 200 °C range. As an example, typical values for a thermistor with a resistance of 3000 Ω at room temperature (25 °C = 298.15 K) are:

Read more about this topic: Thermistor

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