Mj. Holdaway et al., GARNET-BIOTITE GEOTHERMOMETRY REVISED - NEW MARGULES PARAMETERS AND ANATURAL SPECIMEN DATA SET FROM MAINE, The American mineralogist, 82(5-6), 1997, pp. 582-595
The garnet-biotite geothermometer has been recalibrated using recently
obtained Margules parameters for iron-magnesium-calcium garnet, Mn in
teractions in garnet, and Al interactions in biotite, as well as the F
e oxidation state of both minerals. Fe-Mg and Delta W-Al Margules para
meters for biotite have been retrieved by combining experimental resul
ts on Al-[6]-free and Al-[6]-bearing biotite using statistical methods
. Margules parameters, per mole of biotite are W-MgFe(Bt) = 40719 - 30
T J/mole, Delta W-Al(Bt) = W-FeAl(Bt) - W-MgAl(Bt) =210190 - 245.40T J
/mole, Delta W-Ti(Bt) = W-FeTi(Bt) - W-MgTi(Bt) = 310990 - 370.39T J/m
ole. Based on this model, the exchange reaction Delta H is 41952 J/mol
and Delta S is 10.35 J/(K mel). Estimated uncertainty for this geothe
rmometer is 25 degrees C. This geothermometer was tested on two data s
ets. The first consisted of 98 specimens containing garnet and biotite
from west-central Maine, which formed under reducing f(O2) with graph
ite, a limited range of P (similar to 3 to 4.5 kbar), and a moderate r
ange in T (similar to 550-650 degrees C), and which were all analyzed
on a single microprobe using the same standards. Results indicate that
the Maine staurolite zone averages 574 degrees C compared with 530 de
grees C previously calculated and that the muscovite-breakdown Tis con
sistent with experimental data. The second set consisted of cordierite
-garnet granulites without hypersthene from Ontario. Results here sugg
est an average T of 662 degrees C, compared with significantly lower o
r higher Ts calculated from other geothermometers. This model reproduc
es the Perchuk and Lavrent'eva (1983) experimental Ts with a standard
deviation of 12 degrees C and discriminates the assemblages in the Mai
ne data set better than other models.