Truncated forms of the second-rank orthorhombic Hamiltonians used in magnetism and electron magnetic resonance (EMR) studies are invalid—Why it went unnoticed for so long?

摘要: Abstract This paper deals with the truncated forms of second-rank orthorhombic Hamiltonians employed in magnetism and electron magnetic resonance (EMR) studies. Consideration intrinsic features reveals that truncations, which consist omission one three interdependent terms, are fundamentally invalid. Implications invalid truncations are: loss generality quantized spin models, misinterpretation physical properties systems studied (e.g. maximum rhombicity ratio relative parameter values), inconsistent notations for Hamiltonian parameters hamper direct comparison data from various sources. Truncated identified our survey categorized systematically reviewed. Examples taken studies systems, especially those involving transition ions, as well model systems. The pertinent include ordering three- lower dimensions, e.g. [(CH 3 ) 4 N]MnCl (TMMC), canted ferromagnets, Haldane gap antiferromagnets, single molecule magnets exhibiting macroscopic quantum tunneling, Mn 12 complexes S =10. Our study provides better insight into spectroscopic calls reconsideration experimental theoretical results based on Hamiltonians. nature used EMR other types inappropriate terminology occurring, studies, require separate discussion.