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kong_fanli

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we examined the deviation of the
frequency distribution of compositions from the binomial
distribution, which can be regarded as random compositional
distribution, using the x2 test. Note that the binomial distribution
is determined by a composition, a number of the atoms
in one block, and a number of blocks. Figure 4 shows
the frequency distributions of Fe, Nb, and B concentrations
analyzed for more than 3000 blocks (one block consists of
100 atoms) obtained by 3DAP. The histograms show the experimental
results, whereas the solid curves are the binomial
distribution functions for random distribution. The frequency
distribution of the homogeneous state should follow the binomial
distribution. For each element, the x2 value, the degree
of freedom (v), and the significance probability value
£¨P value£© are written in the figures.19 In the as-quenched
specimen, the P values are relatively large, indicating that
the compositional fluctuation is negligible, that is, a homogeneous
compositional distribution.
On the other hand, the
small P values of the specimen annealed up to 773 K indicate
that an appreciable compositional fluctuation occurs at
the stage of 773 K. Thus, the 3DAP analyses reveal that the
local compositional fluctuation starts to occur after annealing
at about 773 K concurrently with the structural change observed
in Fig. 3.

[ Last edited by kong_fanli on 2010-8-23 at 16:09 ]
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