Experimental determination of phonon thermal conductivity and Lorenz ratio of single crystal metals: Al, Cu, and Zn

Yao, Mengliang; Zebarjadi, Mona; Opeil, Cyril P.

doi:10.1063/1.4997034

Title: Experimental determination of phonon thermal conductivity and Lorenz ratio of single crystal metals: Al, Cu, and Zn

Abstract

We use a magnetothermal resistance method to measure lattice thermal conductivity of pure single crystal metals over the intermediate temperature range of 5–60 K. Large transverse magnetic fields are applied to suppress electronic thermal conduction. The total thermal conductivity and the electrical conductivity are measured as functions of applied magnetic field. The lattice thermal conductivity is then extracted by extrapolating the thermal conductivity versus electrical conductivity curve at zero electrical conductivity. We used this method to experimentally measure the lattice thermal conductivity and Lorenz number in single crystal Al (100), Cu (100), and Zn (001) in the intermediate temperature range. Our results show that the measured phonon thermal conductivity versus temperature plot has a peak around ΘD/10, and the Lorenz number is found to deviate from the Sommerfeld value in the intermediate temperature range.

Authors:: Yao, Mengliang; Zebarjadi, Mona; Opeil, Cyril P.

Publication Date:: Fri Oct 06 00:00:00 EDT 2017

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1398293

Grant/Contract Number:: SC0001299

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Applied Physics

Additional Journal Information:: Journal Name: Journal of Applied Physics Journal Volume: 122 Journal Issue: 13; Journal ID: ISSN 0021-8979

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Yao, Mengliang, Zebarjadi, Mona, and Opeil, Cyril P. Experimental determination of phonon thermal conductivity and Lorenz ratio of single crystal metals: Al, Cu, and Zn.  United States: N. p., 2017. 
Web.  doi:10.1063/1.4997034.

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                    Yao, Mengliang, Zebarjadi, Mona, & Opeil, Cyril P. Experimental determination of phonon thermal conductivity and Lorenz ratio of single crystal metals: Al, Cu, and Zn.  United States.  https://doi.org/10.1063/1.4997034

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                    Yao, Mengliang, Zebarjadi, Mona, and Opeil, Cyril P. Fri .  
"Experimental determination of phonon thermal conductivity and Lorenz ratio of single crystal metals: Al, Cu, and Zn".  United States.  https://doi.org/10.1063/1.4997034.

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@article{osti_1398293,

  title        = {Experimental determination of phonon thermal conductivity and Lorenz ratio of single crystal metals: Al, Cu, and Zn},

  author       = {Yao, Mengliang and Zebarjadi, Mona and Opeil, Cyril P.},

  abstractNote = {We use a magnetothermal resistance method to measure lattice thermal conductivity of pure single crystal metals over the intermediate temperature range of 5–60 K. Large transverse magnetic fields are applied to suppress electronic thermal conduction. The total thermal conductivity and the electrical conductivity are measured as functions of applied magnetic field. The lattice thermal conductivity is then extracted by extrapolating the thermal conductivity versus electrical conductivity curve at zero electrical conductivity. We used this method to experimentally measure the lattice thermal conductivity and Lorenz number in single crystal Al (100), Cu (100), and Zn (001) in the intermediate temperature range. Our results show that the measured phonon thermal conductivity versus temperature plot has a peak around ΘD/10, and the Lorenz number is found to deviate from the Sommerfeld value in the intermediate temperature range.},

  doi          = {10.1063/1.4997034},

  journal      = {Journal of Applied Physics},

  number       = 13,

  volume       = 122,

  place        = {United States},

  year         = {Fri Oct 06 00:00:00 EDT 2017},

  month        = {Fri Oct 06 00:00:00 EDT 2017}

}

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Similar Records

Title: Experimental determination of phonon thermal conductivity and Lorenz ratio of single crystal metals: Al, Cu, and Zn

Abstract

Citation Formats

Lorenz Number of Lead in a Transverse Magnetic Field journal, March 1966

Temperature and magnetic field dependence of the electronic and lattice conductivities of tin from 1.3 to 6°K journal, January 1975

Thermal conductivity of normal and superconducting metals journal, January 1990

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Exact Solutions of Boltzmann's Equation for Combined Electron-Electron Electron-Impurity Scattering journal, September 1969

Enhancement of Thermoelectric Performance of n-Type PbSe by Cr Doping with Optimized Carrier Concentration journal, January 2015

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The Thermal Conductivity of Metals at Low Temperatures I: The Elements of Groups 1, 2 and 3 journal, June 1952

Bi2S3 nanonetwork as precursor for improved thermoelectric performance journal, March 2014

Inelastic scattering in thermal transport properties of deformed copper single crystals journal, September 1990

n-type thermoelectric material Mg 2 Sn 0.75 Ge 0.25 for high power generation journal, March 2015

Thermal Magnetoresistance of Zinc at Low Temperatures journal, January 1956

The electrical and thermal conductivities of some brasses at low temperatures journal, June 1957

The thermal and electrical resistivity of bismuth and antimony at low temperatures journal, April 1958

Thermal conductivity in complex metallic alloys: Beyond Wiedemann-Franz law journal, June 2009

Thermal conductivity and electrical resistivity of copper in intense magnetic fields at low temperatures journal, September 1982

Separation of the Electronic and Lattice Thermal Conductivities in Bismuth Crystals journal, October 1974

The thermal conductivity of nickel and its alloys journal, August 1969

Experimental determinations of the Lorenz number journal, January 1993

Lorenz Numbers of pure Aluminum, Silver, and gold at low Temperatures journal, December 1963

The Thermal and Electrical Conductivity of Copper at Low Temperatures journal, January 1953

Low-Temperature Electrical and Thermal Resistivities of Tungsten journal, May 1971

Temperature dependence of the resistance of metallic nanowires of diameter ⩾ 15 nm : Applicability of Bloch-Grüneisen theorem journal, July 2006

The thermal conductivity of cadmium arsenide journal, November 1969

Measurements of the thermal magnetoresistance of aluminum journal, February 1970

Lorenz Number for High-Purity Copper journal, September 1960

Thermal Conductivity Minimum, Electrical Resistivity, and Lorenz Function of Zinc Monocrystals journal, July 1987

Field-dependent thermal conductivity and Lorenz number in Co/Cu multilayers journal, April 2013

Lorenz Number of Lead in a Transverse Magnetic Field
journal, March 1966

Temperature and magnetic field dependence of the electronic and lattice conductivities of tin from 1.3 to 6°K
journal, January 1975

Thermal conductivity of normal and superconducting metals
journal, January 1990

Increased thermoelectric performance by Cl doping in nanostructured AgPb18SbSe20−xClx
journal, November 2013

First principles calculation of lattice thermal conductivity of metals considering phonon-phonon and phonon-electron scattering
journal, June 2016

Exact Solutions of Boltzmann's Equation for Combined Electron-Electron Electron-Impurity Scattering
journal, September 1969

Enhancement of Thermoelectric Performance of n-Type PbSe by Cr Doping with Optimized Carrier Concentration
journal, January 2015

Thermal transport by phonons and electrons in aluminum, silver, and gold from first principles
journal, February 2016

The Thermal Conductivity of Metals at Low Temperatures I: The Elements of Groups 1, 2 and 3
journal, June 1952

Bi2S3 nanonetwork as precursor for improved thermoelectric performance
journal, March 2014

Inelastic scattering in thermal transport properties of deformed copper single crystals
journal, September 1990

n-type thermoelectric material Mg ₂ Sn _0.75 Ge _0.25 for high power generation
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Thermal Magnetoresistance of Zinc at Low Temperatures
journal, January 1956

The electrical and thermal conductivities of some brasses at low temperatures
journal, June 1957

The thermal and electrical resistivity of bismuth and antimony at low temperatures
journal, April 1958

Thermal conductivity in complex metallic alloys: Beyond Wiedemann-Franz law
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Thermal conductivity and electrical resistivity of copper in intense magnetic fields at low temperatures
journal, September 1982

Separation of the Electronic and Lattice Thermal Conductivities in Bismuth Crystals
journal, October 1974

The thermal conductivity of nickel and its alloys
journal, August 1969

Experimental determinations of the Lorenz number
journal, January 1993

Lorenz Numbers of pure Aluminum, Silver, and gold at low Temperatures
journal, December 1963

The Thermal and Electrical Conductivity of Copper at Low Temperatures
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Low-Temperature Electrical and Thermal Resistivities of Tungsten
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