Ellen J. Yoffa, David Adler
Physical Review B
An Einstein model is used to calculate the internal vibrational free energy of approximately spherical fcc crystallites as a function of crystallite size at T/θ = 1. It is found that the free energy per surface atom does not become convergent until a size of about 3 × 107 atoms is reached. The excess free energy at convergence is used to define the macroscopic surface tension for use in the capillarity approximation. The internal free energy of microcrystallites containing of the order of 100 atoms is fortuitously well described by the capillarity approximation. A good estimate of the total free energy of the microcrystallite (nucleus) is obtained from the capillarity approximation only by adding the contributions from free translation and rotation and the replacement partition function. © 1973.
Ellen J. Yoffa, David Adler
Physical Review B
T.N. Morgan
Semiconductor Science and Technology
J. Tersoff
Applied Surface Science
William Hinsberg, Joy Cheng, et al.
SPIE Advanced Lithography 2010