Matthienssen's rule in polycrystalline metallic nanofilms

Qing Guang Zhang; Bing Yang Cao; Xing Zhang; Koji Takahashi; Motoo Fujii; Ling Yun Zhu

doi:10.1115/MNC2007-21092

Matthienssen's rule in polycrystalline metallic nanofilms

Qing Guang Zhang, Bing Yang Cao, Xing Zhang, Koji Takahashi, Motoo Fujii, Ling Yun Zhu

Thermophysics and Fluid Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Matthiessen's rule has been applied to analyze the simultaneously measured electrical and thermal conductivities of polycrystal line platinum nanofilms. The results show that the greatly reduced conductivities are mainly attributed to the grain boundary scatterings. By taking into account the background scattering and the grain boundary scattering, Mathienssen's rule slightly underestimates the thermal conductivity, but obviously overestimates the electrical conductivity. By introducing an additional parameter characterizing electron scattering on the grain boundary in Matthiessen's rule, the agreement between the theoretical predictions and the observed results are greatly improved. Further studies show that when the mean grain size is much smaller than the corresponding mean free path, the electrons' behavior inside the grains becomes affected by the grain boundaries and the underlying assumption of independent scattering processes for Mathiessen's rule will become invalid.

Original language	English
Title of host publication	Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007
Pages	761-768
Number of pages	8
DOIs	https://doi.org/10.1115/MNC2007-21092
Publication status	Published - 2007
Event	International Conference on Integration and Commercialization of Micro and Nanosystems 2007 - Sanya, Hainan, China Duration: Jan 10 2007 → Jan 13 2007

Publication series

Name	Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007
Volume	A

Other

Other	International Conference on Integration and Commercialization of Micro and Nanosystems 2007
Country	China
City	Sanya, Hainan
Period	1/10/07 → 1/13/07

All Science Journal Classification (ASJC) codes

Hardware and Architecture
Electrical and Electronic Engineering

Access to Document

10.1115/MNC2007-21092

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Cite this

Zhang, Q. G., Cao, B. Y., Zhang, X., Takahashi, K., Fujii, M., & Zhu, L. Y. (2007). Matthienssen's rule in polycrystalline metallic nanofilms. In Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007 (pp. 761-768). (Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007; Vol. A). https://doi.org/10.1115/MNC2007-21092

Matthienssen's rule in polycrystalline metallic nanofilms. / Zhang, Qing Guang; Cao, Bing Yang; Zhang, Xing; Takahashi, Koji; Fujii, Motoo; Zhu, Ling Yun.

Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007. 2007. p. 761-768 (Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007; Vol. A).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zhang, QG, Cao, BY, Zhang, X, Takahashi, K, Fujii, M & Zhu, LY 2007, Matthienssen's rule in polycrystalline metallic nanofilms. in Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007. Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007, vol. A, pp. 761-768, International Conference on Integration and Commercialization of Micro and Nanosystems 2007, Sanya, Hainan, China, 1/10/07. https://doi.org/10.1115/MNC2007-21092

Zhang QG, Cao BY, Zhang X, Takahashi K, Fujii M, Zhu LY. Matthienssen's rule in polycrystalline metallic nanofilms. In Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007. 2007. p. 761-768. (Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007). https://doi.org/10.1115/MNC2007-21092

Zhang, Qing Guang ; Cao, Bing Yang ; Zhang, Xing ; Takahashi, Koji ; Fujii, Motoo ; Zhu, Ling Yun. / Matthienssen's rule in polycrystalline metallic nanofilms. Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007. 2007. pp. 761-768 (Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007).

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abstract = "Matthiessen's rule has been applied to analyze the simultaneously measured electrical and thermal conductivities of polycrystal line platinum nanofilms. The results show that the greatly reduced conductivities are mainly attributed to the grain boundary scatterings. By taking into account the background scattering and the grain boundary scattering, Mathienssen's rule slightly underestimates the thermal conductivity, but obviously overestimates the electrical conductivity. By introducing an additional parameter characterizing electron scattering on the grain boundary in Matthiessen's rule, the agreement between the theoretical predictions and the observed results are greatly improved. Further studies show that when the mean grain size is much smaller than the corresponding mean free path, the electrons' behavior inside the grains becomes affected by the grain boundaries and the underlying assumption of independent scattering processes for Mathiessen's rule will become invalid.",

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N2 - Matthiessen's rule has been applied to analyze the simultaneously measured electrical and thermal conductivities of polycrystal line platinum nanofilms. The results show that the greatly reduced conductivities are mainly attributed to the grain boundary scatterings. By taking into account the background scattering and the grain boundary scattering, Mathienssen's rule slightly underestimates the thermal conductivity, but obviously overestimates the electrical conductivity. By introducing an additional parameter characterizing electron scattering on the grain boundary in Matthiessen's rule, the agreement between the theoretical predictions and the observed results are greatly improved. Further studies show that when the mean grain size is much smaller than the corresponding mean free path, the electrons' behavior inside the grains becomes affected by the grain boundaries and the underlying assumption of independent scattering processes for Mathiessen's rule will become invalid.

AB - Matthiessen's rule has been applied to analyze the simultaneously measured electrical and thermal conductivities of polycrystal line platinum nanofilms. The results show that the greatly reduced conductivities are mainly attributed to the grain boundary scatterings. By taking into account the background scattering and the grain boundary scattering, Mathienssen's rule slightly underestimates the thermal conductivity, but obviously overestimates the electrical conductivity. By introducing an additional parameter characterizing electron scattering on the grain boundary in Matthiessen's rule, the agreement between the theoretical predictions and the observed results are greatly improved. Further studies show that when the mean grain size is much smaller than the corresponding mean free path, the electrons' behavior inside the grains becomes affected by the grain boundaries and the underlying assumption of independent scattering processes for Mathiessen's rule will become invalid.

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