Croatica Chemica Acta, Vol. 39 No. 3, 1967.
Short communication, Note
A Mathematical Treatment of X-Ray Line Broadening due to Doublet Separation
S. Popović
; Institute »Ruder Boskovic«, Zagreb, Croatia, Yugoslavia
Abstract
A mathematical treatment of the broadening of X-ray diffraction
lines due to the separation of the K u1u2 doublet is described.
The presented method consists of compounding two profiles of the
same shape and breadth B, but differing in height by a factor of
two, and separated by some angular increment I'>. The calculations
are given for the functions exp (-k2 E2) and (1 + k 2 E2)- 1 • The following results are obtained for various ratios of I) and the resultant line breadth B0 : 1) integral breadth and the breadth at half-maximum
intensity of the resultant profile, 2) the height of the resultant
profile, 3) the deviation of the peak o.f the resultant profile from
the position of the peak of the stronger component, K ui, and 4) the
limiting value of l'>/B 0 for which occurs the transformation of the
resultant profile with one peak into the profile with two peaks. All
these values strongly depend on the analytical function which is
assumed for the profile of the components.
Keywords
Hrčak ID:
208089
URI
Publication date:
15.10.1967.
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