Suppose one needs to find out room-temperature stable silicates chemical composition of a particular cation, suppose magnesium. Is there any rule to estimate which stoichiometric values of metal oxide: silica ratio would stabilize the binary silicate at room temperature? (i.e. in this example, how would I find out only Forsterite and Enstatite are of stable ratio, without empirically studying MgO-SiO2 phase diagram?)
At a first glance, the ratio seems to be consisting of any possible prime(and 1) numbers. Since its crystal structure is not known, Pauling's Rules also cannot be applied step-by-step to find out where silica tetrahedra are sharing corners, edges or faces.
Theoretical Computational and numerical simulation of phase diagram obviously can find out the stable ratios, but this is not what I ask for. I ask for tolerably simple chemistry rules like those provided by Hume-Rothery, Pauling or Goldschmidt, understandable with freshmen/sophomore chemistry/materials science/mineralogy knowledge.