本文以分子動力學模擬奈米碳管的熱噪音行為，並視奈米碳管為一端點固定的懸臂梁系統。分別對長度溫度及奈米碳管半徑的因子，進行研究，以熱噪音振幅的標準差來估算奈米碳管的楊氏系數值。從數值結果的分析中，可以發現奈米碳管的楊氏系數值與長度因子無關，但是隨著半徑的增加其楊氏系數值會隨之下降，直到管徑較大時楊氏系數值是接近平面的石墨層，石墨層可視為半徑無限大的奈米碳管。結果中也顯示出楊氏系數變化與溫度之間的關系，當溫度低於1100K時，楊氏系數值與溫度無關，溫度高於1100K時，楊氏系數值會突然下降。

This study uses molecular dynamics simulations to investigate the intrinsic thermal vibrations of a single-walled carbon nanotube (SWNT) modeled as a clamped cantilever. Using an elastic model defined in terms of the tube length, the tube radius and the tube temperature, the standard deviation of the vibrational amplitude of the tube’s free end is calculated and the Young’s modulus of the SWNT evaluated. The numerical results reveal that the value of the Young’s modulus is independent of the tube length, but decreases with increasing tube radius. At large tube radii, the Young’s modulus value approaches the in-plane modulus of graphene, which can be regarded as an SWNT of infinitely large radius. The results also indicate that the Young’s modulus is insensitive to changes in the tube temperature at temperatures of less than approximately 1100K, but decreases significantly at higher temperatures.

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