Combination of Polarized TIRF and ATR Spectroscopies for Determination of the Second and Fourth Order Parameters of Molecular Orientation in Thin Films and Construction of an Orientation Distribution Based on the Maximum Entropy Method

2006 ◽  
Vol 110 (13) ◽  
pp. 6721-6731 ◽  
Author(s):  
Anne F. Runge ◽  
S. Scott Saavedra ◽  
Sergio B. Mendes
1999 ◽  
Vol 32 (3) ◽  
pp. 404-408
Author(s):  
Y. D. Wang ◽  
A. Vadon ◽  
J. Bessières ◽  
J. J. Heizmann

The orientation distribution function (ODF) of a polycrystalline material is usually constructed from individual orientations by the harmonic method on the assumption of a certain function distribution in the Euler space around each orientation. In the present paper, a new method is developed to determine the ODF from individual orientations. A natural partitioning of the orientation elements in the Euler space around some clustered orientations is proposed. Thus, the preliminary values of orientation density in the elements are directly estimated by the volumes of the orientation elements and the number of grains (or measured points) in each orientation element. Then, the texture vector is further refined using the maximum-entropy method with the preliminary orientation densities as constraints. The validity of this method is exemplified by the texture analysis of a cubic material from individual orientations modelled by Gaussian distribution.


1989 ◽  
Vol 10 (3) ◽  
pp. 217-226 ◽  
Author(s):  
Wang Fu ◽  
Xu Jiazheng ◽  
Liang Zhide

The maximum entropy method (MEM) was applied to the determination of orientation distribution functions (ODF) of hexagonal materials. It shows that the ODF determination may be treated as a standard problem of the MEM. Two examples, which confirm the preferable applicability of this method and the reliability of its results, are presented.


2010 ◽  
Vol 18 (15) ◽  
pp. 15853 ◽  
Author(s):  
Takeya Unuma ◽  
Yusuke Ino ◽  
Makoto Kuwata-Gonokami ◽  
Erik M. Vartiainen ◽  
Kai-Erik Peiponen ◽  
...  

The Analyst ◽  
2015 ◽  
Vol 140 (24) ◽  
pp. 8138-8147 ◽  
Author(s):  
Rosario Esposito ◽  
Giuseppe Mensitieri ◽  
Sergio de Nicola

A new algorithm based on the Maximum Entropy Method (MEM) is proposed for recovering the lifetime distribution and the zero-time shift from experimental time-resolved fluorescence decays.


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