Current Status of the Proposals for Unification of Notations and Guidelines for Data Presentation in the EMR Area. Blueprint for Future Actions

Rudowicz, Czesław

doi:10.1002/chin.200336267

Cited by 1 publication

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References 27 publications

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“…The feasibility of a large-scale verification of the existing EMR-related computer programs hinges upon concerted efforts and international collaboration of developers of various computer programs. The framework for such collaboration has been proposed by Rudowicz (2003aRudowicz ( , 2003b. At the present stage we can offer some specific comments regarding two programs.…”

Section: Tables Of the Matrix Elements Of The Conventional And Extend...mentioning

confidence: 99%

The generalization of the extended Stevens operators to higher ranks and spins, and a systematic review of the tables of the tensor operators and their matrix elements

Rudowicz¹,

Chung

2004

J. Phys.: Condens. Matter

142

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Spherical (S) and tesseral (T) tensor operators (TOs) have been extensively used in, for example, EMR and optical spectroscopy of transition ions. To enable a systematic review of the published tables of the operators and their matrix elements (MEs) we have generated the relevant tables by computer, using Mathematica programs. Our review reveals several misprints/errors in the major sources of TTOs—the conventional Stevens operators (CSOs—components ) and the extended ones (ESOs—all q) for rank k = 2,4, and 6—as well as of some STOs with . The implications of using incorrect operators and/or MEs for the reliability of EMR-related programs and interpretation of experimental data are discussed. Studies of high-spin complexes like Mn12 (S = 10) and Fe19 (S = 33/2) require operator and ME listings up to k = 2S, which are not presently available. Using the algorithms developed recently by Ryabov, the generalized ESOs and their MEs for arbitrary rank k and spin S are generated by computer, using Mathematica. The extended tables enable simulation of the energy levels for arbitrary spin systems and symmetry cases. Tables are provided for the ESOs not available in the literature, with odd k = 3,5, and 7 for completeness; however, for the newly generalized ESOs with the most useful even rank k = 8,10, and 12 only, in view of the large listings sizes. General source codes for the generation of the ESO listings and their ME tables are available from the authors.

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Section: Tables Of the Matrix Elements Of The Conventional And Extend...mentioning

confidence: 99%

The generalization of the extended Stevens operators to higher ranks and spins, and a systematic review of the tables of the tensor operators and their matrix elements

Rudowicz¹,

Chung

2004

J. Phys.: Condens. Matter

142

View full text Add to dashboard Cite

show abstract

Current Status of the Proposals for Unification of Notations and Guidelines for Data Presentation in the EMR Area. Blueprint for Future Actions

Abstract: For Abstract see ChemInform Abstract in Full Text.

Cited by 1 publication

References 27 publications

The generalization of the extended Stevens operators to higher ranks and spins, and a systematic review of the tables of the tensor operators and their matrix elements

The generalization of the extended Stevens operators to higher ranks and spins, and a systematic review of the tables of the tensor operators and their matrix elements

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