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Rozk^{3}ad wielko¶ci ziaren z dopasowania Pearson7
Presented
method of GSD determination
is only as precise as measurements of both widths
and
. This precision can be raised by fitting an
analytical curve to the experimental data being evaluated, then measurement
of widths of the analytical (instead of experimental) curve. One of
possible choices could be popular function Pearson7:

(4) 
where a_{0} is line intensity, a_{1}  line position, a_{2}
i a_{3} are line widths. Putting a_{0}=1 and a_{1}=0 and
comparing expression (4) to
and we obtain equation for the width of Pearson7
curve at and of maximum:

(5) 
Interesting solutions of above equation are:
Above expressions are functions of parameters a_{2} and a_{3},
being immediate result of fitting in a crystallographic software (e.g. PeakFit).
These values
and
can be placed in equations (3) and we
obtain a recipe how to transform Pearson7 widths to the physical quantities
of <R> and , defining Grain Size Distribution:
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roman pielaszek
20030317