{"title":"关于分子振动的理论","authors":"M. Vorobyeva, A. Melker","doi":"10.1117/12.676300","DOIUrl":null,"url":null,"abstract":"In this contribution we review the known solutions for three types of triatomic molecules (linear symmetric A B A , linear asymmetric A B C , bent symmetric A B A ), paying special attention for all intermediate analytical calculation which is usually absent in literature. The intermediate analytical calculation is of fundamental importance because it allows see what kind of assumption was done in the process of deriving a final result. Besides, it helps to gain a better insight into our analytical solution obtained for a linear symmetric tetra-atomic molecule A B B A , which we also submit in this paper. For this molecule we have calculated vibration frequencies of five normal vibrations.","PeriodicalId":345260,"journal":{"name":"International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the theory of molecule vibrations\",\"authors\":\"M. Vorobyeva, A. Melker\",\"doi\":\"10.1117/12.676300\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this contribution we review the known solutions for three types of triatomic molecules (linear symmetric A B A , linear asymmetric A B C , bent symmetric A B A ), paying special attention for all intermediate analytical calculation which is usually absent in literature. The intermediate analytical calculation is of fundamental importance because it allows see what kind of assumption was done in the process of deriving a final result. Besides, it helps to gain a better insight into our analytical solution obtained for a linear symmetric tetra-atomic molecule A B B A , which we also submit in this paper. For this molecule we have calculated vibration frequencies of five normal vibrations.\",\"PeriodicalId\":345260,\"journal\":{\"name\":\"International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.676300\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.676300","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
在这篇文章中,我们回顾了三种类型的三原子分子的已知解(线性对称A B A,线性不对称A B C,弯曲对称A B A),特别注意所有中间分析计算,这在文献中通常是缺席的。中间分析计算是非常重要的,因为它可以看出在推导最终结果的过程中做了什么样的假设。此外,它有助于更好地理解我们在本文中提交的线性对称四原子分子a B B a的解析解。对于这个分子,我们计算了五种正常振动的振动频率。
In this contribution we review the known solutions for three types of triatomic molecules (linear symmetric A B A , linear asymmetric A B C , bent symmetric A B A ), paying special attention for all intermediate analytical calculation which is usually absent in literature. The intermediate analytical calculation is of fundamental importance because it allows see what kind of assumption was done in the process of deriving a final result. Besides, it helps to gain a better insight into our analytical solution obtained for a linear symmetric tetra-atomic molecule A B B A , which we also submit in this paper. For this molecule we have calculated vibration frequencies of five normal vibrations.