## Abstract

The density-of-states effective mass (m_{d}*) is commonly obtained by fitting the equation, S = (8π^{2}k_{B}^{2}/3eh^{2})m_{d}*T(π/3n)^{2/3}(S, T, and n are the Seebeck coefficient, temperature, and the carrier concentration, respectively), to n-dependent S measurement. However, n is not a measurable parameter. It needs to be converted from the measured Hall carrier concentration (n_{H}) using the Hall factor (r_{H}= n/n_{H}). The r_{H}of material can be estimated by Single Parabolic Band (SPB) model if the band that contributed to transport is approximated to be parabolic and acoustic phonons dominantly scatter its carriers. However, the measurable n_{H}is often used instead of n when utilizing the above equation due to the complex Fermi integrals involved in the SPB model calculation. Consequently, the m_{d}∗ estimated from the above equation while using n_{H}would be inaccurate. We propose the equation r_{H}= 1.17 - [0.216 / {1 + exp((|S| - 101) / 67.1)}] as a simple and accurate method to obtain the r_{H}from the measured S to facilitate the conversion from n_{H}to n and eventually increase the accuracy of m_{d}∗ estimated from the above equation.

Original language | English |
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Pages (from-to) | 4036-4040 |

Number of pages | 5 |

Journal | ACS Applied Energy Materials |

Volume | 5 |

Issue number | 4 |

DOIs | |

State | Published - 25 Apr 2022 |

## Keywords

- Hall carrier concentration
- Hall factor
- Seebeck coefficient
- density-of-states effective mass
- thermoelectric