We evaluate the real dispersion relations of circular non-metallic crystalline nanowires based on elasticity equations and stress-free boundary condition. Based on the dispersion relations, the nanowire heat capacity (specific heat) and ballistic conductance are calculated as functions of temperature. Distinct dimensional dependence can be clearly seen as temperature varies. Transitional point between one-dimensional (1-D) and three-dimensional (3-D) behaviors is identified. Similar to previously reported studies on the nanotube systems, at very low temperatures and/or for very thin nanowires the specific heat capacity varies as T1/2 due to the dominance of the flexural modes.
BT - ASME 2007 International Mechanical Engineering Congress and Exposition DA - 11/2007 DO - 10.1115/IMECE2007-42695 LA - eng N2 -We evaluate the real dispersion relations of circular non-metallic crystalline nanowires based on elasticity equations and stress-free boundary condition. Based on the dispersion relations, the nanowire heat capacity (specific heat) and ballistic conductance are calculated as functions of temperature. Distinct dimensional dependence can be clearly seen as temperature varies. Transitional point between one-dimensional (1-D) and three-dimensional (3-D) behaviors is identified. Similar to previously reported studies on the nanotube systems, at very low temperatures and/or for very thin nanowires the specific heat capacity varies as T1/2 due to the dominance of the flexural modes.
PB - American Society of Mechanical Engineers PY - 2007 EP - 631–637 T2 - ASME 2007 International Mechanical Engineering Congress and Exposition T3 - ASME 2007 International Mechanical Engineering Congress and Exposition TI - Heat Capacity and Thermal Conductance Calculations for Non-Metallic Crystalline Nanowires Based on Elastic Dispersion Relations ER -