TY - GEN
T1 - Matthienssen's rule in polycrystalline metallic nanofilms
AU - Zhang, Qing Guang
AU - Cao, Bing Yang
AU - Zhang, Xing
AU - Takahashi, Koji
AU - Fujii, Motoo
AU - Zhu, Ling Yun
PY - 2007
Y1 - 2007
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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U2 - 10.1115/MNC2007-21092
DO - 10.1115/MNC2007-21092
M3 - Conference contribution
AN - SCOPUS:34547928889
SN - 0791842657
SN - 9780791842652
T3 - Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007
SP - 761
EP - 768
BT - Proceedings of the International Conference on Integration and Commercialization of Micro and Nanosystems 2007
T2 - International Conference on Integration and Commercialization of Micro and Nanosystems 2007
Y2 - 10 January 2007 through 13 January 2007
ER -