Density-operator description of excitons in molecular aggregates. II. Optical line-shape selection rules of "one-dimensional" excitons and excitation localization in finite molecular chains

1976 ◽  
Vol 13 (12) ◽  
pp. 5544-5559 ◽  
Author(s):  
Claude Aslangul ◽  
Philémon Kottis
Keyword(s):  
Line Shape ◽  
Density Operator ◽  
Molecular Aggregates ◽  
Selection Rules ◽  
One Dimensional ◽  
Shape Selection ◽  
Optical Line ◽  
Excitation Localization

ON THE TEMPERATURE DEPENDENCE OF PARAMAGNETIC RESONANCE IN THE CASE OF THE ISING MODEL

1961 ◽  
Vol 39 (12) ◽  
pp. 1733-1737 ◽  
Author(s):  
Y. Y. Lee
Keyword(s):  
Ising Model ◽  
Temperature Dependence ◽  
Approximation Method ◽  
Line Shape ◽  
Theoretical Study ◽  
Shape Function ◽  
Paramagnetic Resonance ◽  
One Dimensional ◽  
The One ◽  
Line Shape Function

The adequacy of the approximation method used by McMillan and Opechowski in their theoretical study of the temperature dependence of the paramagnetic resonance line shape function is very difficult to ascertain for the case of a typical paramagnetic crystal. For this reason the approximation method has been investigated for the very simple case of the one-dimensional Ising model. Exact expressions for the line shape function of the model are compared with expressions obtained by the approximation method mentioned above. The agreement between the two expressions is found to be very good in general, and extremely good at very low temperatures.

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