维数之咒
纳米晶
材料科学
四面体
八面体
熔化温度
纳米颗粒
粒径
纳米线
立方体(代数)
纳米技术
凝聚态物理
结晶学
物理
物理化学
化学
几何学
晶体结构
数学
复合材料
统计
作者
Haiming Lu,P. Y. Li,Zhenhua Cao,Xiangkang Meng
摘要
On the basis of a model for size-dependent cohesive energy, the size, shape, and dimensionality effects on melting temperatures of nanocrystals are modeled in a unified form. The model predicts that the melting temperature Tm(D,d,λ) decreases with reducing size D and dimensionality d or increasing shape factor λ. For nanoparticles with the same D values, there is Tm(icosahedron) > Tm(sphere or cube) > Tm(octahedron) > Tm(tetrahedron). Moreover, the ratio of depression of Tm(D,d,λ) is about 1:2λwire:3λparticle for thin films, nanowires, and nanoparticles when D is large enough, for example, 6 nm. The model is found to be in accordance with available experimental, MD simulation, and other theoretical results for Au, Ag, Ni, Ar, Si, Pb, and In nanocrystals.
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