Introductory group theory and its application to molecular structure

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Hauptverfasser: Ferraro, John R. (VerfasserIn), Ziomek, Joseph S. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: New York Plenum Pr. 1975
Ausgabe:2. ed.
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Datensatz im Suchindex

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adam_text Titel: Introductory group theory and its application to molecular structure Autor: Ferraro, John R Jahr: 1975 CONTENTS Symbols and Abbreviations.................. xv Chapter 1 Symmetry.......................... 1 1-1. Introduction....................... 1 1-2. Definition of Symmetry................. 1 1-3. Symmetry in Science................... 1 1- 4. Symmetry in Structural Chemistry ............ 2 A. Point Symmetry Elements............... 2 B. Point Groups.................... 12 C. Rules for Classification of Molecules into Point Groups . 14 D. The Character Table................. 18 E. Space Symmetry................... 24 Problems........................ 31 References....................... 32 Bibliography ...................... 32 Chapter 2 Derivation of Selection Rules................. 33 2- 1. Selection Rules for Isolated Molecules........... 33 A. The T d Point Group................. 33 B. Linear Molecules................... 50 C. Selection Rules for A 3 to A 8 Molecules........ 58 D. Forbidden Vibrations for Several Point Groups..... 58 2-2. Selection Rules for Systems Involving Translations..... 58 A. The Method of Bhagavantam and Venkatarayudu .... 58 B. The Halford-Hornig Site Group Method........ 70 C. Comparison of the BV and HH Methods........ 75 D. Unambiguous Choice of Site Symmetry in the Bravais Unit Cell........................ 75 2-3. Examples of the Halford-Hornig Site Group Method .... 77 xi x ii Contents Problems........................ 106 References....................... 108 Recent Correlation Bibliography............. 109 Chapter 3 Potential Force Fields.................... Ill 3-1. Introduction....................... Ill 3-2. Of What Value to Chemistry Is the Solution of Force Field Problems? ....................... 115 3- 3. General Procedure in Determining Frequencies from Force Constants and Vice Versa................ 117 References.......................132 Chapter 4 The Normal Coordinate Treatment for Molecules with C 2 „, C 3v , and O h Symmetry...................... 135 4- 1. Procedure Necessary in the NCT Method......... 135 4-2. Normal Coordinate Treatment of H a O (C 2 „ Symmetry) . . . 138 4-3. Normal Coordinate Treatment of NH 3 (C 3 „ Symmetry) . . . 150 4-4. Normal Coordinate Treatment of UF fi ( O h Symmetry) . . . 156 4-5. Some Results of NCT of Molecules............ 165 4-6. The Product Rule.................... 167 4-7. The Sum Rule..................... 173 4- 8. Summary........................ 178 Problems........................ 178 References....................... 179 Chapter 5 Applications of Group Theory for the Determination of Molecular Structure........................ 181 5- 1. Introduction ...................... 181 5-2. Procedure Used in Determining the Structure of a Molecule 182 5-3. Examples Illustrating the Use of Group Theory in Determining Molecular Structure...................182 5-4. Practice Problem .................... 194 Problems........................197 References . . . ■................... 199 Contents XIII Appendix 1 Character Tables.......................201 Appendix 2 Description of Symbolism Used in the International Tables for X-Ray Crystallography.....................223 Appendix 3 Site Symmetries for the 230 Space Groups............225 Appendix 4 Correlation Tables......................235 Appendix 5 Elementary Mathematics...................249 Appendix 6 The g Elements.......................259 Appendix 7 General Method of Obtaining Molecular Symmetry Coordinates . . 265 Appendix 8 Calculation of Thermodynamic Functions from Vibrational-Rotational Spectra.........................271 Appendix 9 Diagrams of Normal Vibrations for Common Point Groups .... 275 Appendix 10 Derivation of the Characters Necessary for Selection Rules .... 279 Appendix 11 Updated Bibliography ....................285 Index 287
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publishDate 1975
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spelling Ferraro, John R. Verfasser aut
Introductory group theory and its application to molecular structure John R. Ferraro ; Joseph S. Ziomek*
2. ed.
New York Plenum Pr. 1975
XIII, 292 S. graph. Darst.
txt rdacontent
n rdamedia
nc rdacarrier
Groepentheorie gtt
Groupes, Théorie des ram
Moleculaire spectrometrie gtt
Molecuulfysica gtt
Spectroscopie moléculaire ram
Théorie moléculaire ram
Group theory
Molecular spectroscopy
Molecular theory
Spektroskopie (DE-588)4056138-0 gnd rswk-swf
Gruppentheorie (DE-588)4072157-7 gnd rswk-swf
Molekülstruktur (DE-588)4170383-2 gnd rswk-swf
Chemie (DE-588)4009816-3 gnd rswk-swf
Molekülsymmetrie (DE-588)4170385-6 gnd rswk-swf
Molekülstruktur (DE-588)4170383-2 s
Spektroskopie (DE-588)4056138-0 s
DE-604
Gruppentheorie (DE-588)4072157-7 s
Chemie (DE-588)4009816-3 s
1\p DE-604
Molekülsymmetrie (DE-588)4170385-6 s
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Ziomek, Joseph S. Verfasser aut
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spellingShingle Ferraro, John R.
Ziomek, Joseph S.
Introductory group theory and its application to molecular structure
Groepentheorie gtt
Groupes, Théorie des ram
Moleculaire spectrometrie gtt
Molecuulfysica gtt
Spectroscopie moléculaire ram
Théorie moléculaire ram
Group theory
Molecular spectroscopy
Molecular theory
Spektroskopie (DE-588)4056138-0 gnd
Gruppentheorie (DE-588)4072157-7 gnd
Molekülstruktur (DE-588)4170383-2 gnd
Chemie (DE-588)4009816-3 gnd
Molekülsymmetrie (DE-588)4170385-6 gnd
subject_GND (DE-588)4056138-0
(DE-588)4072157-7
(DE-588)4170383-2
(DE-588)4009816-3
(DE-588)4170385-6
title Introductory group theory and its application to molecular structure
title_auth Introductory group theory and its application to molecular structure
title_exact_search Introductory group theory and its application to molecular structure
title_full Introductory group theory and its application to molecular structure John R. Ferraro ; Joseph S. Ziomek*
title_fullStr Introductory group theory and its application to molecular structure John R. Ferraro ; Joseph S. Ziomek*
title_full_unstemmed Introductory group theory and its application to molecular structure John R. Ferraro ; Joseph S. Ziomek*
title_short Introductory group theory and its application to molecular structure
title_sort introductory group theory and its application to molecular structure
topic Groepentheorie gtt
Groupes, Théorie des ram
Moleculaire spectrometrie gtt
Molecuulfysica gtt
Spectroscopie moléculaire ram
Théorie moléculaire ram
Group theory
Molecular spectroscopy
Molecular theory
Spektroskopie (DE-588)4056138-0 gnd
Gruppentheorie (DE-588)4072157-7 gnd
Molekülstruktur (DE-588)4170383-2 gnd
Chemie (DE-588)4009816-3 gnd
Molekülsymmetrie (DE-588)4170385-6 gnd
topic_facet Groepentheorie
Groupes, Théorie des
Moleculaire spectrometrie
Molecuulfysica
Spectroscopie moléculaire
Théorie moléculaire
Group theory
Molecular spectroscopy
Molecular theory
Spektroskopie
Gruppentheorie
Molekülstruktur
Chemie
Molekülsymmetrie
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001283814&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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