{"title":"配体交换共价键导致的自旋轨道耦合重正化对 f 电子产生的自旋依赖性晶体场","authors":"M. V. Eremin","doi":"10.1007/s00723-024-01701-8","DOIUrl":null,"url":null,"abstract":"<div><p>The problem of renormalization of the spin–orbit interaction operator of electrons of partially filled nf-shells due to exchange-covalent bonds with surrounding ligands has been solved. It is found that along with the change of the standard spin–orbit interaction parameter, new energy operators are generated, which can be interpreted as a spin-dependent crystal field operator. Simple formulas are obtained that allows to calculate its parameters via covalence parameters and overlap integrals. Numerical evaluations have been performed for multiplets <span>\\(Tb^{3 + } (f^{8} ){}^{7}F_{6}\\)</span> and <span>\\(Er^{3 + } (f^{11} ){}^{4}I_{15/2}\\)</span> in fluorides with cubic symmetry. Calculated parameters were found to be of the order of 10% relative to the standard crystal field parameters.</p></div>","PeriodicalId":469,"journal":{"name":"Applied Magnetic Resonance","volume":"55 9","pages":"1233 - 1239"},"PeriodicalIF":1.1000,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spin-dependent crystal field on f-electrons as a consequence of spin–orbit coupling renormalization due to exchange-covalent bonds with ligands\",\"authors\":\"M. V. Eremin\",\"doi\":\"10.1007/s00723-024-01701-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The problem of renormalization of the spin–orbit interaction operator of electrons of partially filled nf-shells due to exchange-covalent bonds with surrounding ligands has been solved. It is found that along with the change of the standard spin–orbit interaction parameter, new energy operators are generated, which can be interpreted as a spin-dependent crystal field operator. Simple formulas are obtained that allows to calculate its parameters via covalence parameters and overlap integrals. Numerical evaluations have been performed for multiplets <span>\\\\(Tb^{3 + } (f^{8} ){}^{7}F_{6}\\\\)</span> and <span>\\\\(Er^{3 + } (f^{11} ){}^{4}I_{15/2}\\\\)</span> in fluorides with cubic symmetry. Calculated parameters were found to be of the order of 10% relative to the standard crystal field parameters.</p></div>\",\"PeriodicalId\":469,\"journal\":{\"name\":\"Applied Magnetic Resonance\",\"volume\":\"55 9\",\"pages\":\"1233 - 1239\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-08-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Magnetic Resonance\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00723-024-01701-8\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, ATOMIC, MOLECULAR & CHEMICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Magnetic Resonance","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00723-024-01701-8","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, ATOMIC, MOLECULAR & CHEMICAL","Score":null,"Total":0}
Spin-dependent crystal field on f-electrons as a consequence of spin–orbit coupling renormalization due to exchange-covalent bonds with ligands
The problem of renormalization of the spin–orbit interaction operator of electrons of partially filled nf-shells due to exchange-covalent bonds with surrounding ligands has been solved. It is found that along with the change of the standard spin–orbit interaction parameter, new energy operators are generated, which can be interpreted as a spin-dependent crystal field operator. Simple formulas are obtained that allows to calculate its parameters via covalence parameters and overlap integrals. Numerical evaluations have been performed for multiplets \(Tb^{3 + } (f^{8} ){}^{7}F_{6}\) and \(Er^{3 + } (f^{11} ){}^{4}I_{15/2}\) in fluorides with cubic symmetry. Calculated parameters were found to be of the order of 10% relative to the standard crystal field parameters.
期刊介绍:
Applied Magnetic Resonance provides an international forum for the application of magnetic resonance in physics, chemistry, biology, medicine, geochemistry, ecology, engineering, and related fields.
The contents include articles with a strong emphasis on new applications, and on new experimental methods. Additional features include book reviews and Letters to the Editor.