{"title":"Radial integrals for the magnetic form factor of the 5d electrons of rare earth elements.","authors":"Kohjiro Kobayashi, Tatsuya Nagao, Masahisa Ito","doi":"10.1107/S0108767312027614","DOIUrl":null,"url":null,"abstract":"The radial integrals , where L = 0, 2, 4, for several electronic configurations of the 5d electrons of rare earth elements are calculated using radial wavefunctions from the Hartree-Fock relativistic method in the Cowan program. Gaussian analytical expressions with four exponential terms are fitted to the values for rare earth elements and the fitted coefficients are tabulated. The tables can be used to interpret the form factor measurements for rare earth metals. Using the radial integrals of Ce 4f and 5d electrons, the experimental measurement of the magnetic form factor of CePd(3) is investigated.","PeriodicalId":7400,"journal":{"name":"Acta Crystallographica Section A","volume":"68 Pt 5","pages":"589-94"},"PeriodicalIF":1.8000,"publicationDate":"2012-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1107/S0108767312027614","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Crystallographica Section A","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1107/S0108767312027614","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2012/7/26 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The radial integrals , where L = 0, 2, 4, for several electronic configurations of the 5d electrons of rare earth elements are calculated using radial wavefunctions from the Hartree-Fock relativistic method in the Cowan program. Gaussian analytical expressions with four exponential terms are fitted to the values for rare earth elements and the fitted coefficients are tabulated. The tables can be used to interpret the form factor measurements for rare earth metals. Using the radial integrals of Ce 4f and 5d electrons, the experimental measurement of the magnetic form factor of CePd(3) is investigated.
期刊介绍:
Acta Crystallographica Section A: Foundations and Advances publishes articles reporting advances in the theory and practice of all areas of crystallography in the broadest sense. As well as traditional crystallography, this includes nanocrystals, metacrystals, amorphous materials, quasicrystals, synchrotron and XFEL studies, coherent scattering, diffraction imaging, time-resolved studies and the structure of strain and defects in materials.
The journal has two parts, a rapid-publication Advances section and the traditional Foundations section. Articles for the Advances section are of particularly high value and impact. They receive expedited treatment and may be highlighted by an accompanying scientific commentary article and a press release. Further details are given in the November 2013 Editorial.
The central themes of the journal are, on the one hand, experimental and theoretical studies of the properties and arrangements of atoms, ions and molecules in condensed matter, periodic, quasiperiodic or amorphous, ideal or real, and, on the other, the theoretical and experimental aspects of the various methods to determine these properties and arrangements.