“…Baker et al, 1991;Carmichael, 1991;Connolly & Trommsdorff, 1991) allow prediction of the changes in both fluid and mineral compositions as a function of pressure and temperature. This approach has been widely applied in the five-and six-component systems CMS-HC (Skippen, 1971(Skippen, , 1974Skippen & Hutcheon, 1974;Baker et al, 1991), CAS-HC (Harley & Buick, 1992;Dasgupta, 1993;Fitzsimons & Harley, 1994;Bhowmik et al, 1995;Cartwright et al, 1997;Sengupta et al, 1997;Stephenson & Cook, 1997;Mathavan & Fernando, 2001), CMAS-HC (Carmichael, 1991;Connolly & Trommsdorff, 1991;Schm€ adicke et al, 2001;Castelli et al, 2007;Groppo et al, 2007), CFAS-C (Robinson, 1991;Sengupta & Raith, 2002) and CFAS-HC (Groppo et al, 2013b), whereas systems with more than six components have been very little investigated so far (Omori Moreover, in previous calculations the effects of Na-Ca substitution were mostly neglected, although Na-Ca solid solutions (plagioclase and scapolite) are often common in calc-silicate rocks. Owing to the lack of an appropriate solid solution model for scapolite, when 10 considered, the effects of Na-Ca substitution have been generally approximated either using activity-modified end-members (e.g.…”