Advanced search
Publication Cover
Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 55, 1985 - Issue 5
Submit an article Journal homepage
60
Views
38
CrossRef citations to date
0
Altmetric
Original Articles

Multipole N.M.R.

XIII. multispin interactions and symmetry in Liouville space

B.C. Sanctuary Department of Chemistry, McGill University, 801 Sherbrooke Street West, Montreal, Quebec, Canada, H3A 2K6
&
F.P. Temme Department of Chemistry, McGill University, 801 Sherbrooke Street West, Montreal, Quebec, Canada, H3A 2K6
Pages 1049-1062 | Received 04 Oct 1984, Accepted 03 Mar 1985, Published online: 12 Aug 2006

Citations (38)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (5)

J. Listerud, S.J. Glaser & G.P. Drobny. (1993) Symmetry and isotropic coherence transfer. Molecular Physics 78:3, pages 629-658.
Read now
F.P. Temme & J.P. Colpa. (1991) Aspects of J pathways in [A] ()/[AX] spin systems over partitional, or coherent superpositional, Liouville space bases involving intracluster coupling, or associated with coherence transfer in [A…X] (I = 1/2) systems: further group theoretical considerations. Molecular Physics 73:4, pages 953-957.
Read now
Ravinder Reddy & P.T. Narasimhan. (1991) Application of tensor operator formalism in pulsed nuclear quadrupole resonance spectroscopy. Molecular Physics 72:3, pages 491-507.
Read now
F.P. Temme. (1989) Symmetry-adapted bases over Liouville space. Molecular Physics 66:6, pages 1075-1106.
Read now
B.C. Sanctuary. (1985) Multipole N.M.R.. Molecular Physics 55:5, pages 1017-1031.
Read now

Articles from other publishers (33)

Malcolm H. Levitt & Christian Bengs. (2021) Hyperpolarization and the physical boundary of Liouville space. Magnetic Resonance 2:1, pages 395-407.
Crossref
David Leiner, Robert Zeier & Steffen J Glaser. (2020) Symmetry-adapted decomposition of tensor operators and the visualization of coupled spin systems. Journal of Physics A: Mathematical and Theoretical 53:49, pages 495301.
Crossref
C. Bengs. (2020) Rotational-permutational dual-pairing and long-lived spin order. The Journal of Chemical Physics 152:5.
Crossref
Ariane Garon, Robert Zeier & Steffen J. Glaser. (2015) Visualizing operators of coupled spin systems. Physical Review A 91:4.
Crossref
H.J. Hogben, M. Krzystyniak, G.T.P. Charnock, P.J. Hore & Ilya Kuprov. (2011) Spinach – A software library for simulation of spin dynamics in large spin systems. Journal of Magnetic Resonance 208:2, pages 179-194.
Crossref
Ilya Kuprov, Nicola Wagner-Rundell & P.J. Hore. (2007) Bloch-Redfield-Wangsness theory engine implementation using symbolic processing software. Journal of Magnetic Resonance 184:2, pages 196-206.
Crossref
F. P. Temme. (2005) Geodesic and re–coupling–induced limits to S 2 n group invariants of uniform ( k 1 ⋯ k 2 n ) dual tensorial sets in spin physics, or NMR: SR dynamical structure on {ℍ v } via polyhedral re–coupling and time–reversal invariance . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461:2054, pages 321-346.
Crossref
Francis P. Temme. (2005) Commutator-Based (A)[X]n(SU(2)×Sn) NMR Cluster Systems: Establishment of the Universality of [n](Sn) Salients and Constraints on ϕ±11(1.1) Polarisations to the [1n] Salient: Permutational Spin Symmetry (PSS) Within NMR Spin Dynamics - an Analytic View. Collection of Czechoslovak Chemical Communications 70:8, pages 1177-1195.
Crossref
F.P. Temme. (2004) Time-reversal-based scalar invariants as (Lie Algebraic) group measures: a structured overview of generalised democratic-recoupled, uniform non-Abelian [AX]n NMR spin systems, as abstract chain networks. Journal of Magnetic Resonance 167:1, pages 119-132.
Crossref
F.P. Temme. (2002) Mathematical determinacy properties of specific automorphic FG/ group embeddings of NMR spin permutational (CNP) algebras, beyond strictly Cayleyan models: a new role for “induced symmetry”. Journal of Molecular Structure: THEOCHEM 578:1-3, pages 145-157.
Crossref
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.
Crossref
F. P. Temme. (2002) Structural signs and carrier completeness of Liouvillian quasiparticle algebras: Dual group invariants for explicit ?n-auxiliary tensor labels via projective mappings applicable to [A]n?20 NMR spin ensembles. International Journal of Quantum Chemistry 89:5, pages 429-440.
Crossref
N.S Sullivan & Erika G Kisvarsanyi. (2000) NMR Spin Echoes for Molecular Rotators with C3 Symmetry. Journal of Magnetic Resonance 145:1, pages 18-23.
Crossref
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.
Crossref
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.
Crossref
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.
Crossref
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.
Crossref
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.
Crossref
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.
Crossref
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.
Crossref
Timothy J. Norwood. (1992) Multiple-quantum NMR methods. Progress in Nuclear Magnetic Resonance Spectroscopy 24:4, pages 295-375.
Crossref
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.
Crossref
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.
Crossref
S. Szymański & G. Binsch. 1991. Annual Reports on NMR Spectroscopy Volume 23. Annual Reports on NMR Spectroscopy Volume 23 209 288 .
F.P. Temme. (1990) Symmetry-adapted liouville space. Physica A: Statistical Mechanics and its Applications 166:3, pages 685-701.
Crossref
F.P. Temme. (1990) Symmetry-adapted liouville space. Physica A: Statistical Mechanics and its Applications 166:3, pages 676-684.
Crossref
B.C. SANCTUARY & T.K. HALSTEAD. 1990. 79 161 .
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.
Crossref
F.P. Temme. (1989) Symmetry-adapted bases over Liouville space. IV. Projection superoperators and invariance hierarchies for and [X] groups: A characterization of [A]4 and [AX]4 spin systems. Chemical Physics 132:1-2, pages 9-30.
Crossref
Alex D. Bain. (1988) The superspin formalism for pulse NMR. Progress in Nuclear Magnetic Resonance Spectroscopy 20:3, pages 295-314.
Crossref
Norbert Müller, Geoffrey Bodenhausen & Richard R Ernst. (1987) Relaxation-induced violations of coherence transfer selection rules in nuclear magnetic resonance. Journal of Magnetic Resonance (1969) 75:2, pages 297-334.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.