THE NORMALIZED NUMBERS OF GRAIN-BOUNDARIES, TRIPLE POINTS AND GROWTH FRONTS IN A CIRCULAR GROWING 2-DIMENSIONAL VORONOI TESSELLATION WITH POISSON-DISTRIBUTED NUCLEI

The topological properties of a set of nuclei undergoing a phase trans formation were investigated. The nuclei were spread out in a plane acc ording to a Poisson distribution. All centres started to grow at the s ame moment and with the same constant rate. They grew circularly and f ree of shrinking. The mean numbers per nucleus of grain boundaries, tr iple points and growth fronts were calculated as functions of the degr ee of transformation, F (0 less-than-or-equal-to F less-than-or-equal- to 1). For these relationships we deduce plain and exact expressions.