Dodecahedranes and the significance of nuclear spin statistics for substructures under SU (m)↓SO(3) × L20 duality, within the specialised Racah symmetry chains for NMR
✍ Scribed by F.P. Temme
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 543 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
Realisation of the invariance properties of the p< 2 number partitional inventory components of the 20-fold spin.algebra associated with [A] z0 nuclear spin clusters under SU2 x 4,, allows the mappings { [A] +r) to be derived. In addition, recent general inner tensor product expressions under & for n even (odd), also facilitates the evaluation of many higher [A] (5&; p= 3) correlative mappings onto SW3%0( 3 ) x94,, 3 = A, subduced symmetry from SU2 duality, thus providing results that determine the nature of adapted NMR bases for both dodecahedrane and its dzO analogue. The significance of this work lies in the pertinence of nuclear spin statistics to both selective MQ-NMR and to other spectroscopic aspects of cage clusters, e.g., ["Cl,, n=ZO, 60, fullerenes. Mappings onto x irreps sets of specific p< 3 number partitions arise in the combinatorial treatment of {M,) Rota fields, defining scalar invariants in the context of Cayley algebra. Inclusion of the 9" group in the specific Racah chain for NMR symmetry gives rise to siguificant further physical insight.