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直拉单晶硅生长时空洞演化的相场模拟

曾庆凯 关小军 潘忠奔 张怀金 王丽君 禹宝军 刘千千

人工晶体学报2012,Vol.41Issue(4):888-895,8.
人工晶体学报2012,Vol.41Issue(4):888-895,8.

直拉单晶硅生长时空洞演化的相场模拟

Phase Field Model of the Dynamics of Growth in Voids during Czochralski Silicon Crystal Growth

曾庆凯 1关小军 1潘忠奔 2张怀金 2王丽君 1禹宝军 1刘千千1

作者信息

  • 1. 山东大学材料液固结构演变与加工教育部重点实验室,济南250061
  • 2. 山东大学晶体材料国家重点实验室,济南250100
  • 折叠

摘要

Abstract

A phase field model of void dynamics during CZ silicon crystal growth, combined with the temperature field from finite element method (FEM) , has been developed. This model could simulate the evolution of void's shape and distribution, and the void dynamics at different initial defect concentrations. The simulation results showed that void dynamics followed four stages at different temperature intervals; incubation, nucleation, growth and static. Different from low initial vacancy concentration, void fraction and diameters increased evidently at high concentration. The number of voids whose diameter is over 10 nm has little fluctuation at the temperature to be lower than 980 K.

关键词

单晶硅/直拉法/相场模型/数值模拟/空洞

Key words

silicon crystal/ Czochralski process/ phase field model/ computer simulation/ void

分类

数理科学

引用本文复制引用

曾庆凯,关小军,潘忠奔,张怀金,王丽君,禹宝军,刘千千..直拉单晶硅生长时空洞演化的相场模拟[J].人工晶体学报,2012,41(4):888-895,8.

基金项目

高等学校博士学科点专项科研基金(200804220021) (200804220021)

人工晶体学报

OA北大核心CSCDCSTPCD

1000-985X

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