Abstract
Given ri =f i(F) andK i = gi(F), wherer i is the mineral mass fraction in an instantaneous solid phase,K i the partition coefficient, andf i(F) andg i(F) respectively the continuous, sectionally smooth functions of solidification degreeF, we have:
Also presented in this paper are other equations describing the compositional changes of solid and liquid phases 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. 1) For granitoids changes in rock-forming minerals may not be taken into consideration in theoretical modelling of REE distribution, but accessory minerals rich in REE, especially those highly rich in some REE must be taken into account. 2) In the case of well differentiated granitoids, it can be assumed thatFε [0,1] may exert only little influence on the calculations. 3) In practice the (La / Sm)-La diagram should be applied with care.
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Abbreviations
- m:
-
mass of a given trace element in solid phase
- M:
-
initial mass of a trace element in melt
- Q:
-
mass of an initial melt
- S:
-
mass of solid phase
- Si :
-
mass of minerali in solid phase
- ri :
-
instantaneous mass fraction of minerali in solid phase (=dS i/dS)
- F:
-
solidification degree (=S/Q)
- Cs :
-
concentration of a trace element in instantaneous solid phase
- Cs :
-
average concentration of a trace element in solid phase
- C1 :
-
concentration of a trace element in melt which is in equilibrium with solid phase
- Co :
-
concentration of a trace element in initial melt
- Ki, K:
-
solid/melt partition coefficient of minerali and bulk partition coefficient, respectively
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Zhenhua, Z. Behaviors of trace elements and relationships between the compositions of solid phase and melt during fractional crystallization. Chin. J. of Geochem. 7, 336–347 (1988). https://doi.org/10.1007/BF02842338
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DOI: https://doi.org/10.1007/BF02842338