# Revisiting Pisarenko’s formula: Effective mass estimation, thermopower–conductivity relation, and maximum power factor prediction

https://mdr.nims.go.jp/datasets/8e4f25a4-4323-4007-9274-023faff178b0

## File

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## Id

8e4f25a4-4323-4007-9274-023faff178b0

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2025-11-08T15:57:23.609906Z

## Updated at

2025-11-10T03:30:40.529457Z

## Published at

2025-11-10T03:24:32.221590Z

## Doi



## First published url

https://doi.org/10.1016/j.mtphys.2025.101845

## Date published

2025-08-30

## Recorded date published

2025-10

## Resource type

journal_article

## Manuscript type

vor

## Collection



## Title

- title: 'Revisiting Pisarenko’s formula: Effective mass estimation, thermopower–conductivity
    relation, and maximum power factor prediction'
  title_type: original
  lang: en

## Description

- description: "The thermopower α (also known as the Seebeck coefficient) is one of
    the most fundamental material characteristics for understanding charge carrier
    transport in thermoelectric materials. Here, we revisit the Pisarenko formula
    for the thermopower, which was traditionally considered valid only for non-degenerate
    semiconductors. We demonstrate that regardless of the dominating scattering mechanism,
    the Pisarenko formula describes accurately enough the relationship between thermopower
    α and charge carrier concentration n\r\nbeyond the non-degenerate limit. Moreover,
    the Pisarenko formula provides a simple thermopower-conductivity relation, α =
    ± keB (b − lnσ), where b is a constant determined by the scattering mechanism
    and weighted mobility µw, and σ is the electrical conductivity. This relation
    is valid for materials with α > 90µVK−1 when acoustic phonon scattering is predominant.
    This offers an alternative way to analyze electron transport when Hall measurements
    are difficult or inaccessible. Additionally, we show how the Pisarenko formula
    can be used to estimate the maximum power factor of a thermoelectric material
    from the weighted mobility of a single, not necessarily optimized, sample at any
    given temperature."
  description_type: abstract
  lang: und

## Creator

- name: Andrei Novitskii
  role: author
  orcid: https://orcid.org/0000-0002-7304-806X
  organization: National Institute for Materials Science
- name: Takao Mori
  role: author
  orcid: https://orcid.org/0000-0003-2682-1846
  organization: National Institute for Materials Science

## Contact agent



## Publisher

organization: Elsevier BV

## Managing organization



## Keyword

- subject: thermoelectric
  schema: not_defined

## Rights

- identifier: https://creativecommons.org/licenses/by-nc-nd/4.0/

## Other identifier(s)



## Data origin

- data_origin_type: other

## Embargo



## Journal

- title: Materials Today Physics
  issn: '25425293'
  volume: '58'
  article_number: '101845'

## Conference



## Related item



## Funding

- identifier: JPMJMI19A1
  funder_name: JST-Mirai Program
- funder_name: Japan Science and Technology Agency
- funder_name: National Institute for Materials Science

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## Fileset

- id: ad986dea-2678-425c-8bfd-813f20f315a6
  filename: Materials Today Physics---Revisiting Pisarenko’s formula Effective mass
    estimation, thermopower–conductivity relation, and maximum power factor prediction.pdf
  content_type: application/pdf
  size: 1467464
  md5: 1a73e603d04407bf01833c2c3515e7d0

## Thumbnail

fileset_id: ad986dea-2678-425c-8bfd-813f20f315a6
filename: Materials Today Physics---Revisiting Pisarenko’s formula Effective mass
  estimation, thermopower–conductivity relation, and maximum power factor prediction.pdf