MATTHIENSSEN’S RULE IN POLYCRYSTALLINE METALLIC NANOFILMS
Matthiessen’s rule has been applied to analyze the simultaneously measured electrical and thermal conductivities of polycrystalline 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 ofindependent scattering processes for Mathiessen’s rule will become invalid.
Mathienssen’s rule grain boundary scattering electrical conductivity thermal conductivity
Qing-Guang Zhang Bing-Yang Cao Xing Zhang Koji Takahashi Motoo Fujii Ling-Yun Zhu
Key Laboratory for Thermal Science and Power Engineering of Ministry of Education,Tsinghua Universit Graduate School of Engineering,Kyushu University,Fukuoka 812-8581,Japan Institute for Materials Chemistry and Engineering,Kyushu University,Kasuga 816-8580,Japan KOBELCO Research Institute,Inc.Kobe 651-2271,Japan
国际会议
海南三亚
英文
2007-01-10（万方平台首次上网日期，不代表论文的发表时间）