A crystal chemical re-evaluation of amphibole/melt and amphibole/clinopyroxene D-Ti values in petrogenetic studies

Constraints on the calculation and use of mineral/melt and two-mineral part ition coefficients for Ti (D-Ti) have been derived from current knowledge o f the distinct crystal-chemical mechanisms for the incorporation of Ti4+ in the amphibole structure as follows: (1) mineral/melt partition coefficient s for Ti, and other tetravalent high field-strength elements (HFSE), can be compared only when considering the fraction of Ti4+ that enters the same s tructural site; (2) accurate two-mineral partition coefficients can be obta ined only when considering the fraction of Ti4+ that is involved in the sam e crystal-chemical mechanism in the two relevant phases (i.e., Ti-M2(4+) an d Ti-M1(4+) for amphibole and clinopyroxene, respectively). The complete crystal-chemical characterization of synthetic titanian pargas ite and kaersutite and of synthetic richterite tall crystallized under P, T , X, f(O2) conditions of interest for upper-mantle studies) shows that the site preference of Zr and Hf differs between the two amphibole compositions ; these elements are essentially ordered at M2 in pargasite and kaersutite, but preferentially enter M1 in richterite. In the latter case, Ti segregat es into the split M1' site with distorted coordination and shorter Ti-O3 di stances, whereas Zr and Hf most likely prefer the larger and more regular M 1 site. The observed site preference is strongly controlled by the relative dimensions of the available sites. The crystal-chemical mechanisms that go vern the incorporation of octahedral high-charge cations are the local char ge balance of Al-[IV] (by R-3,R-4+ at M2) and of dehydrogenation (by R-3,R- 4+ at M1); thus the incorporation of Zr and Hf depends on distinct intensiv e parameters in the two amphibole compositions. Calculation of partition coefficients and of elastic-site parameters under the assumption that all Ti and other HFSE4+ order at the M2 site in amphibo le, as is currently done in geochemical studies, is strongly biased. In the presence of significant dehydrogenation, amphibole/melt D-0 values obtaine d from modeling based on the elastic-strain theory starting from the more-a ccurate site populations for Ti may be only 1/4 of those obtained by using the total Ti content, and the derived site parameters E and r(0) are more c onsistent with octahedral coordination. This result has important consequen ces for the prediction of D values under P-T conditions different from thos e of the experimental work. Applying the above concepts to data from natural assemblages, we obtained a significantly narrower (0.3-2.4 vs. 1.5-8.9) and more reasonable range of variation for amphibole/clinopyroxene D-Ti. A relationship between these va lues for D, and pressure is also now apparent.