Symmetry and Combinatorial Enumeration in Chemistry

Overview

Understanding the concepts of stereochemistry, prochirality, and topicity is crucial for chemists in all fields. Shinsaku Fujita presents chemical group theory differently from conventional textbooks. The author's approach emphasizes conjugate subgroups to solve discrete stereochemical problems. He introduces several new concepts, integrating point-group and permutation-group representations, and treats stereochemistry much more comprehensively.

...
See more details below
Paperback (Softcover reprint of the original 1st ed. 1991)
$99.00
BN.com price
Other sellers (Paperback)
  • All (9) from $33.00   
  • New (7) from $50.59   
  • Used (2) from $33.00   
Sending request ...

Overview

Understanding the concepts of stereochemistry, prochirality, and topicity is crucial for chemists in all fields. Shinsaku Fujita presents chemical group theory differently from conventional textbooks. The author's approach emphasizes conjugate subgroups to solve discrete stereochemical problems. He introduces several new concepts, integrating point-group and permutation-group representations, and treats stereochemistry much more comprehensively.

Read More Show Less

Editorial Reviews

Booknews
Unlike conventional textbooks, the approach here is to emphasize conjugate subgroups to solve discrete stereochemical problems. The author introduces several new concepts, integrating point-group and permutation-group representations, and treats stereochemistry comprehensively. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Read More Show Less

Product Details

  • ISBN-13: 9783540541264
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 8/16/1991
  • Edition description: Softcover reprint of the original 1st ed. 1991
  • Edition number: 1
  • Pages: 368
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.80 (d)

Table of Contents

1 Introduction.- 2 Symmetry and Point Groups.- 2.1 Symmetry Operations and Elements.- 2.2 Conjugacy Glasses in Point Groups.- 2.3 Subgroups of Point Groups.- 2.4 Conjugate and Normal Subgroups of Point Groups.- 2.5 Non-Redundant Set of Subgroups for a Point Group.- 3 Permutation Groups.- 3.1 Permutations and Cycles.- 3.2 Permutation Groups.- 3.3 Transitivity and Orbits..- 3.4 Symmetric Groups.- 3.5 Parity.- 3.6 Alternating Groups.- 4 Axioms and Theorems of Group Theory.- 4.1 Axioms and Multiplication Tables.- 4.2 Subgroups.- 4.3 Cosets.- 4.4 Equivalence Relations.- 4.5 Conjugacy Classes.- 4.6 Conjugate and Normal Subgroups.- 4.7 Subgroup Lattices.- 4.8 Cyclic Groups.- 5 Coset Representations and Orbits.- 5.1 Coset Representations.- 5.2 Transitive Permutation Representations.- 5.3 Mark Tables.- 5.4 Permutation Representations and Orbits.- 6 Systematic Classification of Molecular Symmetries.- 6.1 Assignment of Coset Representations to Orbits.- 6.2 SCR Notation.- 7 Local Symmetries and Forbidden Coset Representations.- 7.1 Blocks and Local Symmetries.- 7.2 Forbidden Coset Representations.- 8 Chirality Fittingness of an Orbit.- 8.1 Ligands.- 8.2 Behavior of Cosets on the Action of a CR.- 8.3 Chirality Fittingness of an Orbit.- 9 Subduction of Coset Representations.- 9.1 Subduction of Coset Representations.- 9.2 Subduced Mark Table.- 9.3 Chemical Meaning of Subduction.- 9.4 Unit Subduced Cycle Indices.- 9.5 Unit Subduced Cycle Indices with Chirality Fittingness.- 9.6 Desymmetrization Lattice.- 10 Prochirality.- 10.1 Desymmetrization of Enantiospheric Orbits.- 10.2 Prochirality.- 10.3 Further Desymmetrization of Enantiospheric Orbits.- 10.4 Chiral syntheses.- 11 Desymmetrization of Para-Achiral Compounds.- 11.1 Chiral Subduction of Homospheric Orbits.- 11.2 Desymmetrization of Homospheric Orbits.- 11.3 Chemoselective and Stereoselective Processes.- 12 Topicity and Stereogenicity.- 12.1 Topicity Based On Chirality Fittingness of an Orbit.- 12.2 Stereogenicity.- 13 Counting Orbits.- 13.1 The Cauchy-Frobenius Lemma.- 13.2 Configurations.- 13.3 The Pólya-Redfield Theorem.- 14 Obligatory Minimum Valencies.- 14.1 Isomer Enumeration under the OMV Restriction.- 14.2 Unit Cycle Indices.- 15 Compounds with Achiral Ligands Only.- 15.1 Compounds with Given Symmetries.- 15.2 Compounds with Given Symmetries and Weight.- 16 New Cycle Index.- 16.1 New Cycle Indices Based On USCIs.- 16.2 Correlation of New Cycle Indices to Pólya’s Theorem.- 16.3 Partial Cycle Indices.- 17 Cage-Shaped Molecules with High Symmetries.- 17.1 Edge Strategy.- 17.2 Tricyclodecanes with Td and Its Subsymmetries.- 17.3 Use of Another Ligand-Inventory.- 17.4 New Type of Cycle Index.- 18 Elementary Superposition.- 18.1 The USCI Approach.- 18.2 Elementary Superposition.- 18.3 Superposition for Other Indices.- 19 Compounds with Achiral and Chiral Ligands.- 19.1 Compounds with Given Symmetries.- 19.2 Compounds with Given Symmetries and Weights.- 19.3 Compounds with Given Weights.- 19.4 Special Cases.- 19.5 Other Indices.- 20 Compounds with Rotatable Ligands.- 20.1 Rigid Skeleton and Rotatable Ligands.- 20.2 Enumeration of Rotatable Ligands.- 20.3 Enumeration of Non-Rigid Isomers.- 20.4 Total Numbers.- 20.5 Typical Procedure for Enumeration.- 21 Promolecules.- 21.1 Molecular Models.- 21.2 Proligands and Promolecules.- 21.3 Enumeration of Promolecules.- 21.4 Molecules Based on Promolecules.- 21.5 Prochiralities of Promolecules and Molecules.- 21.6 Concluding Remarks.- 22 Appendix A. Mark Tables.- A.1 Td Point Group and Its Subgroups.- A. 2 D3h Point Group and Its Subgroups.- 23 Appendix B. Inverses of Mark Tables.- B. 1 Td Point Group and Its Subgroups.- B. 2 D3h Point Group and Its Subgroups.- 24 Appendix C. Subduction Tables.- C. 1 Td Point Group and Its Subgroups.- C. 2 D3h Point Group and Its Subgroups.- 25 Appendix D. Tables of USCIs.- D. 1 Td Point Group and Its Subgroups.- D. 2 D3h Point Group and Its Subgroups.- 26 Appendix E. Tables of USCI-CFs.- E. 1 Td Point Group and Its Subgroups.- E.2 D3h Point Group and Its Subgroups.- 27 Index.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)