Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm
-
Abstract
The thermal expansion coefficient (TEC) of an ideal crystal is derived by using a method of Boltzmann statistics. The Morse potential energy function is adopted to show the dependence of the TEC on the temperature. By taking the effects of the surface relaxation and the surface energy into consideration, the dimensionless TEC of a nanofilm is derived. It is shown that with decreasing thickness, the TEC can increase or decrease, depending on the surface relaxation of the nanofilm.
Article Text
-
-
-
About This Article
Cite this article:
ZHOU Li-Jun, GUO Jian-Gang, ZHAO Ya-Pu. Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm[J]. Chin. Phys. Lett., 2009, 26(6): 066201. DOI: 10.1088/0256-307X/26/6/066201
ZHOU Li-Jun, GUO Jian-Gang, ZHAO Ya-Pu. Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm[J]. Chin. Phys. Lett., 2009, 26(6): 066201. DOI: 10.1088/0256-307X/26/6/066201
|
ZHOU Li-Jun, GUO Jian-Gang, ZHAO Ya-Pu. Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm[J]. Chin. Phys. Lett., 2009, 26(6): 066201. DOI: 10.1088/0256-307X/26/6/066201
ZHOU Li-Jun, GUO Jian-Gang, ZHAO Ya-Pu. Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm[J]. Chin. Phys. Lett., 2009, 26(6): 066201. DOI: 10.1088/0256-307X/26/6/066201
|