Water distribution in quartz schists of the Sanbagawa Metamorphic Belt, Japan: infrared spectroscopic mapping and comparison of the calibrations proposed for determining water contents

Earth, Planets and Space

Table 1 List of proposed calibrations

Study	Equation	ε_int [L/mol H₂O cm²]	Ratio of c
Kats (1962)	c = 0.812·A_int/t [ppm H/Si]	55,800	0.68
Aines et al. (1984)	c = 1.05·A_int/t [ppm H/Si]	43,100	0.88
Nakashima et al. (1995)	c = 84·A_h/t [wt ppm]	33,200^a	1.15
Paterson (1982)	ε_{int eff} = A_int/c·t [L/mol H₂O cm²]	38,000^b	1.00
Paterson (1982) simplified^c	ε_int = 150·γ·(3780 − ν_mean) [L/mol H cm²]	38,000 (ν_mean = 3400, γ = 1/3)	1.00
Libowitzky and Rossman (1997)	ε_int = 246.6·γ·(3753 − ν_mean) [L/mol H₂O cm²]	29,000 (ν_mean = 3400, γ = 1/3)	1.31
Stipp et al. (2006)	c = 100·M·A_int/(t·ρ·ε_int) [wt% H₂O]	24,100	1.58
Thomas et al. (2009)	c = A_int/ε_int·t [wt% H₂O]	89,000	0.43

The equations given are the originals from each paper. The unit referred to on the left side of each equation is given in brackets
^aThe absorption coefficient of Nakashima et al. (1995) using band heights was converted to a coefficient for integral absorbance using Eq. (4)
^bThe water content c was determined using Eq. (5)
^cThis follows the method of Libowitzky and Rossman (1997) and was used for the IR mapping data. See the text for further details