# Thermoelectric Seebeck Coefficient

**Formula:** The formula for the Seebeck coefficient is complex and typically not represented by a simple equation. It involves solving Boltzmann transport equations considering carrier concentration, mobility, and temperature gradient.

## Introduction to Thermoelectric Seebeck Coefficient

The Seebeck coefficient is a measure of the magnitude of an induced thermoelectric voltage in response to a temperature difference across that material. It is a central parameter in thermoelectric materials that convert temperature differences into electrical voltage and vice versa.

## Mathematical Background

Calculating the Seebeck coefficient involves understanding the behavior of charge carriers in a material and their interaction with the material's lattice and impurities under a thermal gradient. This is described by the Boltzmann transport equations, which are often solved numerically for real materials.

Applications:

- Thermoelectric generators
- Temperature measurements
- Thermoelectric cooling