From asymetrical growth rate distributions to multiple normal distributions

Abstract

Growth rate dispersion (GRD) represents the variations in the growth rates of different crystals of the same material, grown under the same conditions. Mostly, these dispersions are decribed by asymetrical distributions with one maximum, and skeved to the right (log-normal and gamma). Recently, it was shown that the GRD of a crystals can be described by distributions with more maxima (multiple normal distribution). The analysis of the number and the height of the growth rate dispersions maxima has been performed. This analysis is shown the first or the second maximum has the maximal height, which results in asymetry of the distributions. This is the reason for the right GRD skeveness for the small number of crystal growth rates analysed. The results are discussed in accordance with crystal growth theories. © 2007 American Institute of Physics.