@article{2009MC200825, title={First Principles Calculations of Vacancy Formation Energies in Σ13 Pyramidal Twin Grain Boundary of α-Al2O3}, author={Nobuaki Takahashi and Teruyasu Mizoguchi and Tetsuya Tohei and Kaoru Nakamura and Tsubasa Nakagawa and Naoya Shibata and Takahisa Yamamoto and Yuichi Ikuhara}, journal={MATERIALS TRANSACTIONS}, volume={50}, number={5}, pages={1019-1022}, year={2009}, doi={10.2320/matertrans.MC200825} }