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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 36, 1978 - Issue 5
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Original Articles

Isometric group of semi-rigid models: relation to the permutation-inversion group and extension of the concept to non-rigid molecules

H. Frei Laboratory for Physical Chemistry, Swiss Federal Institute of Technology, ETH-Zentrum, CH-8092, Zurich, Switzerland
,
P. Groner Laboratory for Physical Chemistry, Swiss Federal Institute of Technology, ETH-Zentrum, CH-8092, Zurich, Switzerland
,
A. Bauder Laboratory for Physical Chemistry, Swiss Federal Institute of Technology, ETH-Zentrum, CH-8092, Zurich, Switzerland
&
Hs.H. Günthard Laboratory for Physical Chemistry, Swiss Federal Institute of Technology, ETH-Zentrum, CH-8092, Zurich, Switzerland
Pages 1469-1493 | Received 24 Jan 1978, Published online: 23 Aug 2006

Citations (27)

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Read on this site (5)

H. Frei, A. Bauder & Hs.H. Günthard. (1981) Isometric groups of non-rigid molecules: homomorphisms and reformulation of a theorem on semi-direct product factorization. Molecular Physics 43:4, pages 785-797.
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G.S. Ezra. (1981) On the symmetry properties of non-rigid molecules. Molecular Physics 43:4, pages 773-783.
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Peter Groner. (1981) Molecular symmetry. Molecular Physics 43:2, pages 415-441.
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H. Hollenstein. (1980) Coriolis resonance in C -asymmetric tops. Molecular Physics 39:4, pages 1013-1033.
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G.S. Ezra. (1979) On the symmetry properties of non-rigid molecules. Molecular Physics 38:3, pages 863-875.
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Articles from other publishers (22)

Peter Groner. (2018) Molecular symmetry: Why permutation-inversion (PI) groups don’t render the point groups obsolete. Journal of Molecular Spectroscopy 343, pages 34-43.
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Peter Groner. (2003) Internal rotation and space groups. Journal of Molecular Structure 659:1-3, pages 1-11.
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Frédéric Merkt & Martin Quack. (2001) An appreciation of Alfred Bauder. Journal of Molecular Structure 599:1-3, pages 1-8.
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Peter Groner. (1993) Non-rigid symmetry groups of molecular trimers and three-rotor molecules. Spectrochimica Acta Part A: Molecular Spectroscopy 49:13-14, pages 1935-1946.
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T.-K. Ha & H.H. Günthard. (1989) Relaxation of structural parameters and potential coefficients of nonrigid molecules. General symmetry properties and application to ab initio study of 1,2-difluoroethane. Chemical Physics 134:2-3, pages 203-228.
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H.H. Guenthard. (1988) Interconversion of conformers by infrared radiation: a theoretical approach based on symmetry of nonrigid molecules. Journal of Molecular Structure 173, pages 91-101.
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Zdeněk Slanina. (1986) An interplay between the phenomenon of chemical isomerism and symmetry requirements: A perennial source of stimuli for molecular-structure concepts, as well as for algebraic and computational chemistry. Computers & Mathematics with Applications 12:3-4, pages 585-616.
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ZDENËK SLANINA. 1986. Symmetry. Symmetry 585 616 .
R. Gunde, T.-K. Ha & H.H. Günthard. (1986) Structural parameter relaxation and pucker mode—internal mode coupling in the four-ring molecules cyclobutanol, cyclobutylfluoride and cyclobutylchloride. Spectrochimica Acta Part A: Molecular Spectroscopy 42:2-3, pages 259-273.
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Timothy Beech, R. Gunde, P. Felder & Hs. Günthard. (1985) Infrared matrix spectroscopy of methylvinylether: Study of conformation interconversion by thermal molecular beams and by infrared irradiation. Spectrochimica Acta Part A: Molecular Spectroscopy 41:1-2, pages 319-339.
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H.H. Guenthard. (1985) Dynamics, hyperfine structure and symmetry of nonrigid molecules. Journal of Molecular Structure 126, pages 67-82.
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Grigory A. Natanson. 1985. Advances in Chemical Physics. Advances in Chemical Physics 55 126 .
Gregory S. Ezra. 1983. Energy Storage and Redistribution in Molecules. Energy Storage and Redistribution in Molecules 293 314 .
K. Balasubramanian. (2004) Symmetry operators of generalized wreath products and their applications to chemical physics. International Journal of Quantum Chemistry 22:5, pages 1013-1031.
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A. Toro Labbe & J. Maruani. (2004) Application of the theory of symmetry of nonrigid molecules to the calculation of the conformational dependences of the torsional potential and dipole moment of acetone‐related molecules. International Journal of Quantum Chemistry 22:1, pages 115-125.
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K. Balasubramanian. (1981) A method for nuclear spin statistics in molecular spectroscopy. The Journal of Chemical Physics 74:12, pages 6824-6829.
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H. Hollenstein, A. Bauder & Hs.H. Günthard. (1980) Sum of states, isometric group and symmetry number of nonrigid molecules. Chemical Physics 47:2, pages 269-285.
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K. Balasubramanian. (1980) The symmetry groups of nonrigid molecules as generalized wreath products and their representations. The Journal of Chemical Physics 72:1, pages 665-677.
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R. Stephen Berry. 1980. Quantum Dynamics of Molecules. Quantum Dynamics of Molecules 143 195 .
B. T. Sutcliffe. 1980. Quantum Dynamics of Molecules. Quantum Dynamics of Molecules 1 37 .
R. Meyer. (1979) Flexible models for intramolecular motion, a versatile treatment and its application to glyoxal. Journal of Molecular Spectroscopy 76:1-3, pages 266-300.
Crossref
Heinz Frei, Alfred Bauder & Hans H. Günthard. 1979. Large Amplitude Motion in Molecules I. Large Amplitude Motion in Molecules I 1 97 .

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