CAN THE TI-IN-BIOTITE THEMOMETER BE ACCURATELY APPLIED OUTSIDE ITS 4-6 KBAR CALIBRATION RANGE?
The new, low P data, plotted as T (°C) (x), Mg/(Mg+Fe) (y), and Ti (apfu) (z) for the low P contact aureoles, were fit with a surface expression. Comparing the geometry and fit quality of this surface to the Ti-saturation surface used to calculate the TiB provided evidence that at these different P settings, the Ti solution is essentially the same. Rearranging the low P surface equation for T and applying it to 529 biotites from the original TiB calibration dataset predicted T within an average of 1 ºC with a standard deviation of ±26 ºC. The original TiB geothermometer has an uncertainty of ±25 ºC. This implies that the 2.5-4.0 kbar surface is similar to the 4.0-6.0 kbar surface. Application of the TiB to lower P settings is appropriate. TiB produces less accurate (mean error = -29 ºC) and more imprecise (standard deviation = 48 ºC) T when applied to the high P dataset. Mica Creek T data alone, however are underestimated but acceptably precise (mean error = -36 ºC and standard deviation = ±26 ºC). This is consistent with experiments showing that at higher P, Ti content for a given T is significantly reduced. An additional factor may be that, in natural settings increased αH2O with increased pressure in graphitic systems could inhibit the deprotonation reaction, the dominant mechanism for Ti substitution in biotite at high T. Because of reduced Ti content, TiB is likely to produce low apparent T determinations in higher P settings.