Dynamic Melting Inversion of Melt Compositions

Problem. Demonstrate that low-degree/high-degree concentration ratio during dynamic melting is also inversely related to the bulk partition coefficients. 

The low-degree/high-degree concentration ratio in the extracted melt is 

Since dQ/dD is always negative, then Q increases with decreasing D (more incompatible). 

The concentration of a trace element in the extracted dynamic melt is (Zou, 1998) 

Similarly, for the less incompatible element (e.g., rare earth elements (REE)), 

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