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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 66, 1989 - Issue 6
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Original Articles

Symmetry-adapted bases over Liouville space

V. [A]4 (Ii ≥ 1) related spin systems: Generation of the and sets from the combinatorics of weight sets (M1 – M4)

F.P. Temme Department of Chemistry, Queen's University, Kingston, K7L 3N6, Ontario, Canada
Pages 1075-1106 | Received 03 Jun 1987, Accepted 31 Aug 1988, Published online: 22 Aug 2006

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K. Balasubramanian. (1993) Nuclear spin multiplets for five 13C78 fullerene isomers. Molecular Physics 80:3, pages 655-669.
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G.J. Bowden, J.P.D. Martin & F. Separovic. (1990) Tensorial sets for coupled pairs of spin-1/2 nuclei. Molecular Physics 70:4, pages 581-603.
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Articles from other publishers (22)

F. P. Temme. (2002) On Uniform (1≤ I i ≤3) n ‐fold {∣ I outer M ( i 1 ⋅⋅⋅ i n )〉} dual tensorial sets, spin irreps from SU (3≤ m )×𝒮 n ⊃⋅⋅⋅⊃𝒮 n weight sets: a direct role for 𝒩(λ⊢ n )‐partitional catalogs of 𝒮 n combinatorics in spin physics . International Journal of Quantum Chemistry 87:4, pages 171-180.
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F.P. Temme. (1998) Yamanouchi-chain -invariant hierarchies for SR carrier space of dual tensors in NMR: some maximal -inner products, via -restricted-space Schur Fn. product mappings. Chemical Physics 238:2, pages 245-256.
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F.P. Temme. (1996) Automorphic NMR spin symmetries of cage structures: exclusively combinatorial correlative mappings for specific (n ⊃ ≡ natural embedding pertinent to higher t− 13C-fullerenes. Physica A: Statistical Mechanics and its Applications 227:3-4, pages 314-324.
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F. P. Temme. (1996) Determinable partitional modelling of Cayleyan $$SU(m \leqslant n/2) \times S_n \downarrow \mathcal{G}NMR$$ spin symmetries of isotopomeric cage-clusters: SpecificS n?12?...?D 3 group chains, forS n -modules in high-n weak-branching limit. Journal of Mathematical Chemistry 20:2, pages 311-329.
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F.P. Temme. (1995) An overview of higher n-fold exo cage spin clusters, including (t − I) 13C-fullerenes, under SU(m ⪕ n/2) × Ln and model SU(m) × In↓G dual spin symmetries of nuclear magnetic resonance. Coordination Chemistry Reviews 143, pages 169-218.
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F.P. Temme. (1994) Contrasting routes to the Kostka coefficients of λ [boxvr] n (ln)-permutational module expansions for 6⩽n⩽8: Applications to NMR spin clusters under SU(m⩽n)×Ln spin symmetries. Physica A: Statistical Mechanics and its Applications 210:3-4, pages 435-452.
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J.P. Colpa & F.P. Temme. (1994) Physical role of -invariants in dual mappings over carrier spaces for Liouville multiple-quantum NMR of spin clusters within n-automorphisms: , -cubanes and some SU(6) aspects of a -met-carb. Physica A: Statistical Mechanics and its Applications 209:1-2, pages 140-161.
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F.P Temme. (1994) Specialised NMR spin-cluster symmetry chains under SU(m) X n group dualities: Role of democratic recoupling and projective geometric mapping from SU(m) p-tuples onto Γ[γ](v: n), or onto Γ(v: n↓), for 6⩽n-fold cage clusters. Physica A: Statistical Mechanics and its Applications 202:3-4, pages 595-623.
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F.P Temme. (1993) Intensive structure of Heisenburg supergenerator algebras over {v} SU2 dual carrier subspaces in Liouville NMR formalisms: Superbosons as unit tensor superoperators. Physica A: Statistical Mechanics and its Applications 198:1-2, pages 245-261.
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F. P. Temme & J. P. Colpa. (1993) Symmetry substructures for MQ-NMR of [A]20 spin clusters of dodecahedranes, [13CH]20 or [13CD]20, metallic M @M20 and [H2O]+ @[H2O]20 exo-cage cluster molecules and their higher-n SO(3) �l n spin algebras, within the context of mapping,l n -ITP algebras and number partitions. Zeitschrift f�r Physik D Atoms, Molecules and Clusters 25:3, pages 275-284.
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F. P. Temme & J. P. Colpa. (1992) Demonstration of the origins of cooperativity within SU2�L 6 mapping over $$\left\{ {I\tilde H_\upsilon } \right\}$$ Liouvillian carrier subspaces characterising the MQ-NMR cluster [A]6(L 6) and its $$\{ |kq\upsilon :[\tilde \lambda ] > > \} $$ tensorial bases. Zeitschrift f�r Physik B Condensed Matter 89:3, pages 335-342.
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F. P. Temme & J. P. Colpa. (1992) Spin symmetry and gel'fand patterns of higher SU2�? n groups. Zeitschrift f�r Physik D Atoms, Molecules and Clusters 23:2, pages 187-193.
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F. P. Temme. (1992) Cooperative Liouvillian mapping over carrier subspaces and induced of NMR spin clusters as a consequence of simple reducibility being applicable to tensorial operator bases,. Zeitschrift für Physik B Condensed Matter 88:1, pages 83-92.
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F. P. Temme & J. P. Colpa. (1992) Summary ofS n mapping properties of some lexicalp-tuples, or wordlengths, over (M 1-M 2) fields of Rota-Cayley algebra in generating Hilbert space SO(3) xS n irreps of higherI i identical spin clusters, [A] n (S n ), forn ? 7. Journal of Mathematical Chemistry 11:1, pages 341-352.
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F. P. Temme. (1991) The structure and Gel’fand patterns inherent in the Heisenberg supergenerator algebra of dual Liouville-space ‖ k q { K ̃.}( k 1− k n ):[λ̃],𝒮 n 〉〉 tensors and the Cayley algebra of scalar invariants over a ( k 1− k n ) field . Journal of Mathematical Physics 32:6, pages 1638-1650.
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F.P. Temme & J.P. Colpa. (1991) Structure of MQ-NMR spin spaces under higher n- and (n)↓ symmetries. III. Γ/ ((7)↓D5) subduced irreps for [A ]7 clusters pertaining to the molecular cage ion, [11BH]72−. Chemical Physics 154:1, pages 111-124.
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J.P. Colpa & F.P. Temme. (1991) Structure of MQ-NMR spin spaces under higher n- and (n)↓ symmetries. II. Γ/ (6)↓ subduced irreps for sixfold spin clusters pertaining to the molecular cage ion, [11BH]62−. Chemical Physics 154:1, pages 97-110.
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F.P. Temme. (1990) Symmetry-adapted liouville space. Physica A: Statistical Mechanics and its Applications 166:3, pages 685-701.
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F.P. Temme. (1990) Symmetry-adapted liouville space. Physica A: Statistical Mechanics and its Applications 166:3, pages 676-684.
Crossref
J. P. Colpa & F. P. Temme. 1990. 25th Congress Ampere on Magnetic Resonance and Related Phenomena. 25th Congress Ampere on Magnetic Resonance and Related Phenomena 619 620 .
F.P. Temme. (1989) Symmetry-adapted Liouville space IX. The role of scalar invariants and lexical combinatorics over a ield in the derivation of explicit tensor bases under 4/SO(3) duality. Physica A: Statistical Mechanics and its Applications 162:1, pages 111-124.
Crossref
F.P Temme. (1989) n-Adapted liouville space and multiquantum NMR. VI. Role of φq1 (11) polarizations in the spin dynamics of the spin system. Journal of Magnetic Resonance (1969) 83:2, pages 383-389.
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