{"title":"富勒烯的连续对称性和手性测度","authors":"I. László, A. Rassat","doi":"10.1063/1.1514152","DOIUrl":null,"url":null,"abstract":"Usually the symmetry of a given molecule is described with the help of a point group. Here we present a method where the symmetry is characterized by a function from the range [0,1] to the set of point groups. Using this function we measured the molecular symmetries and chiralities for the fullerenes C20 : 1, C24 : 1, C26 : 1, C28 : 1 and C28 : 2.","PeriodicalId":196292,"journal":{"name":"Structural and Electronic Properties of Molecular Nanostructures. XVI International Winterschool on Electronic Properties of Novel Materials","volume":"100 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Continuous Symmetry and Chirality Measures for Fullerenes\",\"authors\":\"I. László, A. Rassat\",\"doi\":\"10.1063/1.1514152\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Usually the symmetry of a given molecule is described with the help of a point group. Here we present a method where the symmetry is characterized by a function from the range [0,1] to the set of point groups. Using this function we measured the molecular symmetries and chiralities for the fullerenes C20 : 1, C24 : 1, C26 : 1, C28 : 1 and C28 : 2.\",\"PeriodicalId\":196292,\"journal\":{\"name\":\"Structural and Electronic Properties of Molecular Nanostructures. XVI International Winterschool on Electronic Properties of Novel Materials\",\"volume\":\"100 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-10-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Structural and Electronic Properties of Molecular Nanostructures. XVI International Winterschool on Electronic Properties of Novel Materials\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.1514152\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Structural and Electronic Properties of Molecular Nanostructures. XVI International Winterschool on Electronic Properties of Novel Materials","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.1514152","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Continuous Symmetry and Chirality Measures for Fullerenes
Usually the symmetry of a given molecule is described with the help of a point group. Here we present a method where the symmetry is characterized by a function from the range [0,1] to the set of point groups. Using this function we measured the molecular symmetries and chiralities for the fullerenes C20 : 1, C24 : 1, C26 : 1, C28 : 1 and C28 : 2.