AMPHIBOLE-LIQUID EQUILIBRIA: BAROMETERS AND THERMOMETERS FOR VOLCANIC SYSTEMS
P(GPa) = -3.093-4.274[lnD(Al)] - 4.216[ln(XAlliq)] + 63.3[XP2O5liq] + 1.264[XH2Oliq]
+ 2.457[Alamph] + 1.86[Kamph] + 0.4[ln(Naamph / XNa2Oliq)].
Here, liquid components are hydrous mole fractions of the oxides, and amphibole components are numbers of cations on the basis of 23 oxygens; R2 = 0.89; SEE = ± 0.15 GPa; n= 157; P range = 0.05 – 2.5 GPa; compositional range = 34-76% SiO2; 0.1-10% MgO; 2.5-11% TA. New experiments are needed to test this expression and Eqn. 1d of R&R, but the new equation predicts mean P for select experimental data (not used in either calibration) with higher precision: Sisson et al. (2005; 0.7 GPa; P(calc)=0.71±2.2 GPa; n=49), Krawczynski et al. (2012; 0.5 GPa; P(calc) = 0.46 ±0.1 GPa; n=10) and Feig et al. (2010) and Wolf et al. (2012) (0.2 GPa; P(calc) = 0.26±0.13 GPa; n=5). Temperatures of amphibole saturation can be predicted using: 104/T(K) = 6.5677-0.2163[P(GPa)] -3.6673[XSiO2liq]+3.0595[ln(XSiO2liq)] - 1.561[ln(XAl2O3liq)] - 0.13532[ln(XNa2OliqXAl2O3liq)] -0.19167[ln((XMgOliq+XFeOtliq)(XAl2O3liq))], where XFeOt is the hydrous mole fraction of Fe, when calculated from weight % values expressed as FeO total (R2 = 0.83; SEE = ± 33 oC; n= 146; T range = 678-1130oC). Also useful, to predict saturated water contents in liquids is: H2O(wt. %) =0.7996+15.347[P(GPa)]0.5 - 0.00233[T(oC)] + 0.06248[Na2O+K2O wt. %)], where R2 = 0.85, SEE = ±1.07 wt. % H2O, n=1,122. And as a check on equilibrium: [(XFeOt/XMgO)amph]/[(XFeOt/XMgO)liq] = 0.28±.0.11 (n=449); but Al does not equilibrate as readily as Fe-Mg. The new models are expected to be generally applicable to igneous systems and should allow increased precision of intensive parameters for volcanic systems.