✦ LIBER ✦

Phenomenological Description of Aggregates of Exchange-Bonded Paramagnetic Ions in Crystalline Environment. I. Effective Hamiltonian Formalism

✍ Scribed by M. Kurzyński

Book ID: 104543873
Publisher: John Wiley and Sons
Year: 1973
Tongue: English
Weight: 615 KB
Volume: 55
Category: Article
ISSN: 0370-1972
DOI: 10.1002/pssb.2220550145

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✦ Synopsis

Abstract

A general effective Hamiltonian formalism is proposed and applied to the phenomenological description of energetic structure of aggregates consisting of several exchange‐bonded paramagnetic ions in a crystalline environment. The low‐lying energetic multiplets of such a system, resulting from isotropic exchange (superexchange) interaction, split under the further interactions and, for a variety of ions, can be described in terms of effective spin Hamiltonians. Such a description is highly useful from the electron paramagnetic resonance point of view, in which the transitions inside multiplets are observed. The microscopic model for the phenomenologic constants of these Hamiltonians is given in the second order of perturbation treatment, and the case of ions with orbitally nondegenerate ground crystal term is discussed in some detail.

📜 SIMILAR VOLUMES

Phenomenological Description of Aggregat

Phenomenological Description of Aggregates of Exchange-Bonded Paramagnetic Ions in Crystalline Environment. II. Microscopical Model for a Rectangular Aggregate of Four Paramagnetic Ions with Spin One Half

✍ M. Kurzybń;ski 📂 Article 📅 1973 🏛 John Wiley and Sons 🌐 English ⚖ 518 KB

## Abstract The general theory of Part I is applied to an aggregate consisting of four exchange‐bonded paramagnetic ions with spin one half forming a planar rectangle. As a zero‐order approximation, eigenvalues and eigenstates of the isotropic Heisenberg Hamiltonian inside the sixteen dimensional s