The crystal data for 57 SO4, SeO4 and BeF4 alums of alpha and beta typ
e, with a general formula M(I)M(III)(XY4)2 . 12H12O, were extracted fr
om literature. Multiple linear regression was employed in order to est
ablish a correlation between the length of the unit cell axis (depende
nt variable) and (1-2) the effective ionic radii of both M+ and M3+; (
3) the mean X-Y distance; (4) Pauling's electronegativity of atom Y, (
5) the alum type; (6) the orbital quantum number of M3+ ion and (7) th
e number of d-electrons in the highest energy shell. The adjusted r2 s
tatistics had a high value (0.986), thus enabling the use of the regre
ssion equation for predictive purposes. The effective ionic radii for
CH3NH3+, NH3OH+, N2H5+ and C(NH2)3+ ions were calculated in this way.
Some notes on the stability and existence of particular alums are also
given.