立体異性体としてのモノ置換アルカンの個数

スポンサーリンク

概要

• 論文の詳細を見る

• Monosubstituted alkanes as stereoisomers, not as constitutional isomers, are regarded as planted three-dimensional (3D) trees, which are defined as a 3D extension of planted trees (graphs). They are thus recognized as 3D-objects (planted promolecules) and enumerated by Fujitas proligand method (Fujita S (2005) Theor. Chem. Acc. 113:73–79, 113:80–86, Fujita S (2006) Theor. Chem. Acc. 115:37–53). By starting from three kinds of sphericity indices, i.e., ad for homospheric cycles, cd for enantiospheric cycles, and bd for hemispheric cycles, cycle indices with chirality fittingness (CI-CFs) are obtained to enumerate planted 3D-trees or equivalently monosubstituted alkanes as stereoisomers. Functional equations a(x), c(x2), and b(x) for recursive calculations are derived from the CI-CFs and programmed in three ways by means of the Maple programming language. The three recursive procedures for calculating the numbers of planted 3D-trees are executed to give identical results, which are collected up to 100 carbon content in a tabular form. The results are compared with the enumeration of planted trees (as graphs).

著者

• FUJITA Shinsaku

  Department of Chemistry and Materials Technology, Kyoto Insititute of Technology

関連論文

• Generalization of Partial Cycle Indices and Modified Bisected Mark Tables for Combinatorial Enumeration
• 立体異性体としての第1,2,3級モノ置換アルカンの個数
• 立体異性体としてのモノ置換アルカンの個数
• Development of XyMTeX2PS for the PostScript Typesetting of Chemical Documents Containing Structural Formulas
• The Photolysis and Thermolysis of Ethyl Azidoformate in the Presence of Ketones
• Synthesis of [9]Heterophanes from 2-Cyclododecenone
• The 1-Methylene Derivatives of [7](2,6)Pyridinophane. Preparative and Conformational Studies
• The Absolute Configurations of 2-Phenylaziridine and Its Derivatives
• The Acid-Catalyzed Ring-Opening of Cyclooctenimine Derivatives
• Photoinduced Transannular Reaction of 4,5-Octamethylene-1,3-dioxolen-2-one

スポンサーリンク