Connecting microwave and optical frequencies with a vibrational degree of freedom

2015 ◽  
Author(s):  
R. W. Andrews ◽  
R. W. Peterson ◽  
T. P. Purdy ◽  
K. Cicak ◽  
R. W. Simmonds ◽  
...  
Keyword(s):  
Degree Of Freedom ◽  
Vibrational Degree

A Parameter to Quantify Molecular Quasilinearity

1976 ◽  
Vol 31 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Koichi Yamada ◽  
Manfred Winnewisser
Keyword(s):  
Physical Interpretation ◽  
Separation Of Variables ◽  
Degree Of Freedom ◽  
Rotational Degree ◽  
Vibrational Degree ◽  
Model Calculations ◽  
Linear Configuration ◽  
Oppenheimer Approximation ◽  
Linear Molecules ◽  
Simple Parameter

Abstract A simple parameter is proposed for expressing the quasilinearity of molecules in a quantitative way. The parameter γ0 is defined on the basis of a discussion of the separation of variables in the Born-Oppenheimer approximation. The parameter γ0 assumes the value +1 for bent molecules and -1 for linear molecules. The range from -1 to +1 traces the transition of a vibrational degree of freedom in the linear configuration of a polyatomic molecule into a rotational degree of freedom in the bent configuration. The sequence of molecules along this parameter is shown and model calculations are carried out to further illustrate the physical interpretation of the parameter.

Approximating power for significance tests with one degree of freedom.

1997 ◽  
Vol 2 (2) ◽  
pp. 186-191 ◽  
Author(s):  
William P. Dunlap ◽  
Leann Myers
Keyword(s):  
Degree Of Freedom ◽  
Significance Tests
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