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Given r_i=f_i(F)and K_i=g_i(F), where r_i is the mineral mass fraction in an instantaneous solid phase. K_ithe partition coefficient, and f_i(F) and g_i(F) respectively the continuous, sectionally smooth functions ofsolidification degree F, we have:C~1=l-f -- Co exp(-f_0~f -- l-f ∑f_i(f)g_i (f) dF)andC~s=f--C_o[l-(l--f)C_o--C~l] Also presented in this paper are other equations describing lhe compositional changes of solid and liquidphases in magmatic processes (partial melting).The following understanding is attained based on theapplication of these equations to the Hushan pluton of Mt. Taishan in the west of Shandong Province.l) Forgranitoids changes in rock-forming minerals may not be taken into consideration in theoretical modelling ofREE distribution, but accessory minerals rich in REE, especially those highly rich in some REE must betaken into account.2) In the case of well differentiated granitoids, it can be assumed that F∈[0,l] may exertonly little influence on the calculations.3) In practice the (La/Sm)--La diagram should be applied with care.
Given r_i = f_i (F) and K_i = g_i (F), where r_i is the mineral mass fraction in an instantaneous transient phase. K_ithe partition coefficient, and f_i (F) and g_i (F) respectively the continuous, sectionally smooth functions of solidification we have: C ~ 1 = lf - Co exp (-f_0 ~ f - lf Σf_i (f) g_i (f) dF) and C ~ s = f - C_o [l- (l - f ) C_o - C ~ l] Also presented in this paper are other equations describing lhe compositional changes of solid and liquidphases in magmatic processes (partial melting). The following understanding is attained based on the application of these equations to the Hushan pluton of Mt. Taishan in the west of Shandong Province. Forgranitoids changes in rock-forming minerals may not be taken into consideration in theoretical modeling ofREE distribution, but accessory minerals rich in REE, especially those highly rich in some REE must betaken into account.2) In the case of well differentiated granitoids, it can be assumed that F∈ [0, l] may exertonly little influence on the calculat ions.3) In practice the (La / Sm) - La diagram should be applied with care.