Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expressions and Formulas to Expand and Add Potentiality to Knowledge
  Underlying Diffraction   Development generating diffraction-related valuable expressions and formulas
capable of initiating new era for diffraction and for scientific domains that
use it provided. The main expression, among these, gives diffracted intensity
as explicit function of true and absolute distribution of interatomic vectors
(DIV) and is suitable for constructing analytical techniques capable of
converting experimental diffraction intensity data into real structural data,
immediately and accurately interpretable as such, through Fourier transform
tool (FTT) with no assumption and no approximation additional to those involved
in kinematic theory. The first ever produced formula giving distribution of
interatomic vectors, and hence distribution of interatomic distances (DID), of
monatomic crystal provided together with description of possible way of
obtaining it. Given examples of application relate to getting two DIDs and to
using them to calculate X-ray diffracted intensity profiles, one DID was for
zinc blende (ZnS) and was calculated from atom positions and the other one was
for polonium and was calculated using both atom positions and appropriate
formula. Software for calculating DIDs and X-ray profiles for monatomic
crystals available freely. No longer needed to affect Debye scattering equation
(DSE) through approximation and assumption makings before combining it with FTT
to get to experimental structural data.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an