{"title":"群论与半导体能带结构","authors":"A. Nussbaum","doi":"10.1109/JRPROC.1962.288217","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to present the principles involved in calculating the energy band structures of semiconductors. These calculations can be simplified by the use of group theory, which is a branch of analysis that permits expressing the symmetry properties of crystals in a quantitative manner. Some of the simpler concepts of group theory are explained and then applied to band structure determinations.","PeriodicalId":20574,"journal":{"name":"Proceedings of the IRE","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1962-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Group Theory and the Energy Band Structure of Semiconductors\",\"authors\":\"A. Nussbaum\",\"doi\":\"10.1109/JRPROC.1962.288217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to present the principles involved in calculating the energy band structures of semiconductors. These calculations can be simplified by the use of group theory, which is a branch of analysis that permits expressing the symmetry properties of crystals in a quantitative manner. Some of the simpler concepts of group theory are explained and then applied to band structure determinations.\",\"PeriodicalId\":20574,\"journal\":{\"name\":\"Proceedings of the IRE\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1962-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the IRE\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/JRPROC.1962.288217\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the IRE","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/JRPROC.1962.288217","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Group Theory and the Energy Band Structure of Semiconductors
The purpose of this paper is to present the principles involved in calculating the energy band structures of semiconductors. These calculations can be simplified by the use of group theory, which is a branch of analysis that permits expressing the symmetry properties of crystals in a quantitative manner. Some of the simpler concepts of group theory are explained and then applied to band structure determinations.