Efficient evaluation of X-ray scattering integrals of Cartesian Gaussian-type functions

1986 ◽  
Vol 42 (4) ◽  
pp. 257-261 ◽  
Author(s):  
M. Barua ◽  
W. Weyrich
Keyword(s):  
Cross Sections ◽  
Wigner Distribution ◽  
Molecular Form ◽  
Form Factors ◽  
Distribution Functions ◽  
Gaussian Type ◽  
X Ray Scattering ◽  
Recurrence Algorithm ◽  
Scattering Cross Sections ◽  
Special Case

A general recurrence algorithm and explicit analytical results are given for scattering integrals with Cartesian Gaussian-type functions, in a form that is necessary for the evaluation of molecular form factors, Wigner distribution functions and Compton scattering cross sections. Overlap integrals are included as a special case.

Annihilation of positrons in noble gases in the presence of an electric field

1982 ◽  
Vol 60 (12) ◽  
pp. 1717-1719
Author(s):  
P. U. Arifov ◽  
G. I. Zhuravleva
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Electric Field ◽  
Cross Sections ◽  
Noble Gases ◽  
Distribution Functions ◽  
Simultaneous Interpretation ◽  
Slowing Down ◽  
Speed Distribution ◽  
Scattering Cross Sections

The present article combines our earlier separate calculations of elastic scattering cross sections, annihilation parameters, and speed distribution functions of positrons slowing down in noble gases for the simultaneous interpretation of experimental data of both beam and drift experiments. Here we present the results on the calculations of phase shifts, annihilation parameter Z(k), speed distribution functions, and Zeff(F).

X-RAY SCATTERING CROSS SECTIONS FOR MOLECULES, PLASTICS, TISSUES, AND FEW BIOLOGICAL MATERIALS

2002 ◽  
Vol 20 (3) ◽  
pp. 327-361 ◽  
Author(s):  
D. V. Rao ◽  
T. Takeda ◽  
Y. Itai ◽  
T. Akatsuka ◽  
R. Cesareo ◽  
...  
Keyword(s):  
Cross Sections ◽  
Biological Materials ◽  
X Ray ◽  
Scattering Cross ◽  
X Ray Scattering ◽  
Scattering Cross Sections ◽  
Ray Scattering
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