The first step of this improved modeling method is to determine modification coefficient of element stiffness matrix based on the coherence of natural frequencies for two kinds of models, and the second step is to verify the coherence of the frequency-response functions.
D i is the bulk partition coefficient of element i obtained by assuming that the proportion of minerals does not change during partial melting.
where: μ λp) is the mass absorption coefficient of element i at the primary energy (cm2 g-1); C i is the concentration of element i with respect to mass (g g -1); and n is the number of elements.
In reality, the mineral proportions do change as partial melting progresses, and Π i is the partition coefficient of element i obtained from the proportion of minerals entering the melt (Shaw 1970).
For understanding the minimum rate of fast cooling, pearlite growth kinetics was calculated with self-developed diffusion coefficients of elements in grain boundary.
The partition coefficients of element i at χ degree of melting, D ¯ i lherzolite / arc magma are the mineral proportion weighted partition coefficients of i. P ¯ i lherzolite / arc magma are the weighted partition coefficients of liquid.
The correlation between the partition coefficient of alloying elements between γ/γ′, γ/χ and γ/β phases and ab initio formation energy of Co3X (L12), Co3X (D019) and CoX (B2) was respectively obtained.
Moreover, diffusion coefficient of Al element is higher than that of La; diffusion of La element is faster than that of Al.
The local secondary beam or fluorescence beam, I(λs), will be a function of the local intensity of the primary energy, the fluorescence yield, and the fraction of absorption due to the fluorescing compound: where: k is the fluorescence yield; Ce is the concentration of the fluorescing element (g g-1); and μe λp) is the mass absorption coefficient of fluorescing element (cm2 g-1).
For, denotes the scalar part of, that is, the coefficient of the element.
