Shape analysis of crystalline nanoparticles with superspherical approximation having physical meanings

Research Project

Project/Area Number	25390029
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Research Field	Nanomaterials engineering
Research Institution	Tokyo Institute of Technology
Principal Investigator	ONAKA Susumu 東京工業大学, 総合理工学研究科(研究院), 教授 (40194576)
Co-Investigator(Kenkyū-buntansha)	MIYAJIMA Yoji 東京工業大学, 総合理工学研究科, 助教 (80506254)
Project Period (FY)	2013-04-01 – 2016-03-31
Project Status	Completed (Fiscal Year 2015)
Budget Amount *help	¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000) Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000) Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000) Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords	ナノ粒子 / 析出物 / 平衡形状 / エネルギー論 / 超球 / 表面エネルギー
Outline of Final Research Achievements	Crystalline nanoparticles or nanoprecipitates in alloys often have near polyhedral shapes composed of low-index planes and round corners. Energy consideration discussing anisotropic properties such as anisotropic surface/interface energy densities could reveal physical reasons of such shapes. However, to discuss the validity of the energy consideration, it is efficient to derive algebraic formulas to reproduce the near polyhedral shapes. In the present study, various extended superspheres are formulated and measures to characterize the near polyhedral shapes are obtained.