### Abstract

We develop an algorithm called SPBcal under Java SE runtime environment 1.8.0_131 to calculate transport parameters of thermoelectric materials within the framework of single parabolic band (SPB) model. For calculating Fermi–Dirac integrals, SPBcal is implemented by a double exponential transformation combined with trapezoidal rule to calculate F_{1}(η) and F_{2}(η) and the trapezoidal rule with pole correction to calculate [Formula presemted], with which good accuracy of the transport parameters as a function of temperature can be obtained with very low execution time of the algorithm as long as the experimentally determined Seebeck coefficients are given. The SPBcal is tested and the results are consistent with the data reported in the literature. Program summary: Program title: SPBcal v1.0 Program files doi: http://dx.doi.org/10.17632/8r5ybpjrbb.1 Licensing provisions: MIT license (MIT) Programming language: Java Nature of problem: Quickly calculating thermoelectric transport parameters for materials with single parabolic band under the assumption of acoustic phonon scattering as a main event. Solution method: Double exponential and pole correction in combination with trapezoidal rule for calculating integer and half Fermi–Dirac integrals, respectively. “For Loop” iteration for determining reduced Fermi energy. Additional comments: Program Github repository https://github.com/charliech17/SPBcal/releases

Original language | English |
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Article number | 106875 |

Journal | Computer Physics Communications |

DOIs | |

Publication status | Accepted/In press - 2019 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Hardware and Architecture
- Physics and Astronomy(all)

### Cite this

}

**An algorithm of calculating transport parameters of thermoelectric materials using single band model with optimized integration methods.** / Chang, Kuo Chuan; Liu, Chia-Jyi.

Research output: Contribution to journal › Article

TY - JOUR

T1 - An algorithm of calculating transport parameters of thermoelectric materials using single band model with optimized integration methods

AU - Chang, Kuo Chuan

AU - Liu, Chia-Jyi

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We develop an algorithm called SPBcal under Java SE runtime environment 1.8.0_131 to calculate transport parameters of thermoelectric materials within the framework of single parabolic band (SPB) model. For calculating Fermi–Dirac integrals, SPBcal is implemented by a double exponential transformation combined with trapezoidal rule to calculate F1(η) and F2(η) and the trapezoidal rule with pole correction to calculate [Formula presemted], with which good accuracy of the transport parameters as a function of temperature can be obtained with very low execution time of the algorithm as long as the experimentally determined Seebeck coefficients are given. The SPBcal is tested and the results are consistent with the data reported in the literature. Program summary: Program title: SPBcal v1.0 Program files doi: http://dx.doi.org/10.17632/8r5ybpjrbb.1 Licensing provisions: MIT license (MIT) Programming language: Java Nature of problem: Quickly calculating thermoelectric transport parameters for materials with single parabolic band under the assumption of acoustic phonon scattering as a main event. Solution method: Double exponential and pole correction in combination with trapezoidal rule for calculating integer and half Fermi–Dirac integrals, respectively. “For Loop” iteration for determining reduced Fermi energy. Additional comments: Program Github repository https://github.com/charliech17/SPBcal/releases

AB - We develop an algorithm called SPBcal under Java SE runtime environment 1.8.0_131 to calculate transport parameters of thermoelectric materials within the framework of single parabolic band (SPB) model. For calculating Fermi–Dirac integrals, SPBcal is implemented by a double exponential transformation combined with trapezoidal rule to calculate F1(η) and F2(η) and the trapezoidal rule with pole correction to calculate [Formula presemted], with which good accuracy of the transport parameters as a function of temperature can be obtained with very low execution time of the algorithm as long as the experimentally determined Seebeck coefficients are given. The SPBcal is tested and the results are consistent with the data reported in the literature. Program summary: Program title: SPBcal v1.0 Program files doi: http://dx.doi.org/10.17632/8r5ybpjrbb.1 Licensing provisions: MIT license (MIT) Programming language: Java Nature of problem: Quickly calculating thermoelectric transport parameters for materials with single parabolic band under the assumption of acoustic phonon scattering as a main event. Solution method: Double exponential and pole correction in combination with trapezoidal rule for calculating integer and half Fermi–Dirac integrals, respectively. “For Loop” iteration for determining reduced Fermi energy. Additional comments: Program Github repository https://github.com/charliech17/SPBcal/releases

UR - http://www.scopus.com/inward/record.url?scp=85071841815&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071841815&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2019.106875

DO - 10.1016/j.cpc.2019.106875

M3 - Article

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

M1 - 106875

ER -