JAMES B. THOMPSON JR.’S MODAL SPACE APPLIED TO SERPENTINIZATION AND CARBONATIZATION OF ULTRAMAFICS, STOCKBRIDGE, VERMONT
The compositional variation of the five major phases observed, AMP-CHL-SRP-TLC-CARB, takes place within the 11-dimensional oxide space, CaO FeO MgO Al2O3 SiO2 MnO Fe2O3 Cr2O3 TiO2 H2O CO2, which is spanned by 11 independent exchange reactions between phase pairs. These five phases are expressed in terms of their additive components tr-cl-atg-tlc-mgs, respectively. In a closed system, there are 23 independently variable phase components ∑Cφ among the five solid phases; all 11 oxide components Cs vary independently. The total number of independent reactions Nh = ∑Cφ – Cs (Thompson et al., 1982) in the closed system is 12, eleven pure exchange reactions and one net-transfer reaction, (α) cl = 2atg + Al2Mg-1Si-1 (TK). When the system is opened to H2O and CO2 two additional independent net-transfer reactions are derived: (β) 3tr + chl + 6H2O = 4atg + 5tlc + TK + 6CaMg-1 (CM) and (γ) 3tr + chl + 6CO2 = 6mgs + 7tlc + TK + 6CM. These reactions form three orthogonal basis vectors that span the subspace CMASHC. Advancement along β and γ describes the reaction progress after all initial material is consumed, and thus, applies most appropriately to the development of the marginal rocks during the Acadian. Schreinemakers analysis with PERPLEX (Connolly, 1990 database) indicates that the tr-chl-chr zone formed at ~500° C and a maximum of 7 Kb.