M. Merli et al., CRYSTAL-CHEMICAL COMPLEXITY IN NATURAL GARNETS - STRUCTURAL CONSTRAINTS ON CHEMICAL VARIABILITY, European journal of mineralogy, 7(6), 1995, pp. 1239-1249
A crystal-chemical database for natural garnets has been developed at
the CSCC, Pavia. It presently consists of 281 garnets representative o
f common chemical compositions and petrogenetic conditions. For most s
amples, X-ray single-crystal structure-refinement and SEM-WDS analysis
were done on the same crystal. Ion-microprobe analysis for detection
and evaluation of H, Li, Be, B was also done in some cases; spectrosco
pic techniques were used to confirm the presence of unusual substituti
ons. This combined approach allowed detection and characterization of
substitutions occurring in natural garnets. Plots of atomic coordinate
s and geometrical parameters as a function of the unit-cell edge show
that garnet crystal-chemistry is characterized by the presence of stro
ng inductive effects and non-linear behaviour, the quantitative aspect
s of which are discussed in the companion paper. There are stringent s
tructural constraints on chemical variability due to the extensive edg
e-sharing between adjacent polyhedra. These phenomena, which make the
correct determination of site populations a non-trivial task, have now
been analyzed in detail and fully understood. We present here an auto
matic procedure which allows the determination of reliable site-popula
tions starting from the results of the structure refinement. It is bas
ed on multiple regression equations for the independent estimates of e
ach cation content and on their subsequent normalisation according to
crystal-chemical constraints.