Concept of uniformity on microstructure of materials has been clarifie
d. On this basis, uniformity on grain structure has been understood as
size uniformity, representing the distribution of grain size, and spa
tial uniformity, expressing the degree of clustering of similar-sized
grains. Indices of uniformity, U-size and U-sp have been proposed: Siz
e uniformity, U-size is designated by the inverse of the geometric sta
ndard deviation for grain intersect area, a, sigma(ga). Spatial unifor
mity, U-sp for the square object area of side length, L is expressed b
y the deviation of a microstructural center of gravity from a simple c
enter as follows. U-sp=1-root 2[(x(G)-x(S))(2)+(y(G)-y(S))(2)])(1/2)/L
, where, the simple center G(x(G), y(G)) is the center of gravity for
the whole object structure, and the microstructural center Gs(x(S), y(
S)) is the center weighted by the intersect area of each grain. U-sp d
epends on setting a standard length, L; the ways of setting are one co
rresponding to mean grain size and another of representing an absolute
value. Further, it has confirmed that the evaluation of uniformity is
useful to the actural microstructures of pure iron samples.