PRACTICAL VERSION OF THE ASYMPTOTIC LINEARITY THEOREM WITH APPLICATIONS TO THE ADDITIVITY PROBLEMS OF THERMODYNAMIC QUANTITIES

被引:13
作者
ARIMOTO, S [1 ]
TAYLOR, K [1 ]
机构
[1] UNIV SASKATCHEWAN,DEPT MATH,SASKATOON S7N 0W0,SASKATCHEWAN,CANADA
关键词
D O I
10.1007/BF01165570
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
By using fundamental notions and theorems of the Lesbesgue integral, a practical version of the Asymptotic Linearity Theorem has been derived. From this new version of the theorem, it easily follows that the theorem is also applicable to the additivity problems of thermodynamic quantities of molecules having many identical moieties, as well as to those of the zero-point vibrational energy of hydrocarbons and the total pi-electron energies of alternant hydrocarbons.
引用
收藏
页码:265 / 272
页数:8
相关论文
共 34 条
[1]   NEW DEFINITION OF DEWAR-TYPE RESONANCE ENERGIES [J].
AIHARA, J .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1976, 98 (10) :2750-2758
[2]   ASPECTS OF FORM AND GENERAL TOPOLOGY - ALPHA-SPACE ASYMPTOTIC LINEARITY THEOREM AND THE SPECTRAL SYMMETRY OF ALTERNATES [J].
ARIMOTO, S ;
TAYLOR, K .
JOURNAL OF MATHEMATICAL CHEMISTRY, 1993, 13 (3-4) :249-264
[4]   THE ASYMPTOTIC LINEARITY THEOREM FOR THE STUDY OF ADDITIVITY PROBLEMS OF THE ZERO-POINT VIBRATIONAL-ENERGY OF HYDROCARBONS AND THE TOTAL PI-ELECTRON ENERGY OF ALTERNANT HYDROCARBONS [J].
ARIMOTO, S ;
SPIVAKOVSKY, M .
JOURNAL OF MATHEMATICAL CHEMISTRY, 1993, 13 (3-4) :217-247
[5]   INTEGRAL-REPRESENTATION OF A FUNDAMENTAL FUNCTIONAL FOR THE STUDY OF THE ZERO-POINT VIBRATIONAL-ENERGY OF HYDROCARBONS AND THE TOTAL PI-ELECTRON ENERGY OF ALTERNANT HYDROCARBONS [J].
ARIMOTO, S ;
HALL, GG .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1992, 41 (04) :613-635
[8]  
BALABAN AT, 1976, CHEM APPLICATIONS GR
[9]   BINDING ENERGIES IN HYDROCARBONS [J].
COTTRELL, TL .
JOURNAL OF THE CHEMICAL SOCIETY, 1948, (SEP) :1448-1453
[10]  
DUNFORD N, 1963, LINEAR OPERATORS