The Use of Free Electron Model Wave Functions in the Derivation and Representation of LCAO MO Wave Functions of Conjugated Molecules

1953 ◽  
Vol 21 (7) ◽  
pp. 1287-1292 ◽  
Author(s):  
H. H. Jaffé
Keyword(s):  
Free Electron ◽  
Wave Functions ◽  
Electron Model ◽  
Conjugated Molecules ◽  
Model Wave ◽  
Free Electron Model ◽  
Lcao Mo

A free-electron theory of conjugated molecules

1953 ◽  
Vol 49 (4) ◽  
pp. 650-658 ◽  
Author(s):  
J. Stanley Griffith
Keyword(s):  
Free Electron ◽  
Wave Functions ◽  
Electron Charge ◽  
Algebraic Equations ◽  
Electron Wave ◽  
Electron Theory ◽  
Conjugated Molecules ◽  
Electron Charge Density ◽  
Linear Polyenes ◽  
Alternant Hydrocarbons

ABSTRACTThe values of a free-electron eigenfunotion at the carbon nuclei of a conjugated hydrocarbon are found to satisfy a system of algebraic equations. These equations are similar in form to those obtained in the method known as the linear combination of atomic orbitale but only coincide with them for linear polyenes and benzene. The symmetry, degeneracy and energy of the eigenvectors of these free-electron equations correspond exactly to those of the free-electron wave functions found by the usual methods. From this correspondence, a theorem is deduced about the free-electron charge density in alternant hydrocarbons.

scholarly journals FREE ELECTRON MODEL STUDY ON INTERLAYER EXCHANGE COUPLING IN MAGNETIC MULTILAYERS

1996 ◽  
Vol 45 (5) ◽  
pp. 869
Author(s):  
YANG GUO-LIN ◽  
LI BO-ZANG ◽  
LI LIE-MING ◽  
SUN GANG ◽  
WU JIAN-HUA ◽  
...  
Keyword(s):  
Free Electron ◽  
Exchange Coupling ◽  
Magnetic Multilayers ◽  
Interlayer Exchange Coupling ◽  
Electron Model ◽  
Model Study ◽  
Free Electron Model ◽  
Interlayer Exchange

TWO ANALYTICAL TECHNIQUES FOR THE DETERMINATION OF THE ABSOLUTE ATOM CONCENTRATION USING ELECTRON ENERGY LOSS SPECTROSCOPY (EELS)

2002 ◽  
Vol 16 (31) ◽  
pp. 4775-4781 ◽  
Author(s):  
N. HADJI
Keyword(s):  
Energy Loss ◽  
Free Electron ◽  
Chemical Elements ◽  
Analytical Techniques ◽  
Electron Model ◽  
Atom Concentration ◽  
Free Electron Model ◽  
The Absolute ◽  
Electron Energy Loss

Two analytical techniques for the determination (within the limits of validity of the free electron model) of the absolute atom concentration (AAC) are reported in details. One of these may be useful for the determination of a AAC for chemical elements (e.g. hydrogen) which are not easy to detect. EELS is used.

Nearly free electron model to glass-forming ability of multi-component metallic glasses

2013 ◽  
Vol 361 ◽  
pp. 82-85 ◽  
Author(s):  
Weiming Yang ◽  
Haishun Liu ◽  
Chaochao Dun ◽  
Jiawei Li ◽  
Yucheng Zhao ◽  
...  
Keyword(s):  
Metallic Glasses ◽  
Free Electron ◽  
Glass Forming Ability ◽  
Electron Model ◽  
Glass Forming ◽  
Free Electron Model
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