Size Effects on Thermal Properties of Thin Metal Films With Rough Surfaces

By calculating the effects of electronic scattering at rough surfaces by means of a combined Soffer-Cottey model, general theoretical expressions for the size effects in thermal properties of thin metal films are proposed. Simple analytical expressions for the thermoelectric power, Sf, and the therm...

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Main Author: C. R. Tellier
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:Active and Passive Electronic Components
Online Access:http://dx.doi.org/10.1155/1990/24108
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author C. R. Tellier
author_facet C. R. Tellier
author_sort C. R. Tellier
collection DOAJ
description By calculating the effects of electronic scattering at rough surfaces by means of a combined Soffer-Cottey model, general theoretical expressions for the size effects in thermal properties of thin metal films are proposed. Simple analytical expressions for the thermoelectric power, Sf, and the thermal conductivity, ℒf, are given under the assumption that the energy dependence of the electronic relaxation time in bulk material may be written in the form τo∼Wm . The size effects in the thermoelectric power are found to depend on the value of m. However, a decrease in the overall size effects is observed in all transport parameters with respect to the predictions of classical theories based on the Fuchs-Sondheimer or the Cottey models. A comparison with data on the thermoelectric power of thin copper, silver and tin films from previous experiments by various workers shows that a combined Soffer-Cottey model is convenient to analyze size effects in thermoelectric properties. The values of the r.m.s, surface roughness obtained from data are physically consistent.
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spelling doaj-art-004f9e8a8ce34980a6b1f69e9d3096a12025-02-03T07:26:10ZengWileyActive and Passive Electronic Components0882-75161563-50311990-01-0114111610.1155/1990/24108Size Effects on Thermal Properties of Thin Metal Films With Rough SurfacesC. R. Tellier0Laboratoire de Chronométrie, Electronique et Piézoélectricité, Ecole Nationale Superieure de Mecanique et des Microtechniques, La Bouloie, Route de Gray, Besancon Cedex 25030, FranceBy calculating the effects of electronic scattering at rough surfaces by means of a combined Soffer-Cottey model, general theoretical expressions for the size effects in thermal properties of thin metal films are proposed. Simple analytical expressions for the thermoelectric power, Sf, and the thermal conductivity, ℒf, are given under the assumption that the energy dependence of the electronic relaxation time in bulk material may be written in the form τo∼Wm . The size effects in the thermoelectric power are found to depend on the value of m. However, a decrease in the overall size effects is observed in all transport parameters with respect to the predictions of classical theories based on the Fuchs-Sondheimer or the Cottey models. A comparison with data on the thermoelectric power of thin copper, silver and tin films from previous experiments by various workers shows that a combined Soffer-Cottey model is convenient to analyze size effects in thermoelectric properties. The values of the r.m.s, surface roughness obtained from data are physically consistent.http://dx.doi.org/10.1155/1990/24108
spellingShingle C. R. Tellier
Size Effects on Thermal Properties of Thin Metal Films With Rough Surfaces
Active and Passive Electronic Components
title Size Effects on Thermal Properties of Thin Metal Films With Rough Surfaces
title_full Size Effects on Thermal Properties of Thin Metal Films With Rough Surfaces
title_fullStr Size Effects on Thermal Properties of Thin Metal Films With Rough Surfaces
title_full_unstemmed Size Effects on Thermal Properties of Thin Metal Films With Rough Surfaces
title_short Size Effects on Thermal Properties of Thin Metal Films With Rough Surfaces
title_sort size effects on thermal properties of thin metal films with rough surfaces
url http://dx.doi.org/10.1155/1990/24108
work_keys_str_mv AT crtellier sizeeffectsonthermalpropertiesofthinmetalfilmswithroughsurfaces