Automorphic NMR spin symmetries of cage structures: exclusively combinatorial correlative mappings for specific (Ln ⊃ G ≡ I natural embedding pertinent to higher t−I13C-fullerenes

F.P. Temme

Physica A: Statistical Mechanics and its Applications, 1996, vol. 227, issue 3, 314-324

Abstract: A strong correspondence is shown to exist between spin cage-cluster systems to which Cayley's theorem applies, such as [13C]60z2 for z integer higher fullerenes, and the occurrence of exclusively combinatorial [χi] (Ln ↓G) invariance (ECI) sets which determine their NMR spin symmetry. The n = 60 z2, z a small integer, higher t-icosahedral cage clusters, [X13C]n and various further nested-endohedral forms represent a wide range of model systems. Their [[λ] → Γ (Ln ↓ A5 ≡ I)]correlative mapping aspects follow directly from the nature of the monocluster ECI sets. These allow one to derive the SU2 × Ln ↓ A5 spin symmetry for (bi) cluster NMR of 13C-fullerene compounds, and also the generalised wreath-product spin symmetry for endohedral “nano-onionic”-structured fullerenes. Further aspects of the “n versus sub-group cardinality” Cayley relationship for spin cage clusters, inherent in the spin symmetry automorphisms onto certain (pseudo) regular (t-)polyhedral “geometric solids”, are examined in the context of the direct natural Ln ⊃ G (≡ I) embeddings.

Keywords: Automorphic spin groups; Natural Ln ⊃ G embeddings; Combinatorical modelling of spin algebras; Correlative Ln symmetry mappings; Higher and endohedral-fullerenes (search for similar items in EconPapers)
Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437195003479
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:227:y:1996:i:3:p:314-324

DOI: 10.1016/0378-4371(95)00347-9

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().