Thermal and volume parameters of the twin charge-ordering Verwey transitions in RBaFe2O5+w (R = a rare-earth element) are summarized as a function of R and w. Their determination is exemplified for case R = Dy, for which also synthesis conditions, phase relations, and refined crystal-structure data for the valence-mixed (Fe2.5+) and charge-ordered (Fe2+ and Fe3+) phases are reported. Data for the R = Nd, Sm, Eu and Gd variants with wide ranges of oxygen non-stoichiometry suggest that increasing w decreases AS and the temperature of the transition in a manner that is similar to a behavior under increasing concentration of an ideal solution of RBaFe2O6 in RBaFe2O5. Thermal parameters of the transition for the ideal mixed-valence composition RBaFe2O5.000 are estimated from such compositional dependences, varying reasonably smoothly as a function of R (radius, electronegativity, polarizability). Parameter DeltaV is the only one that follows the structural discontinuity between the charge-ordered R = Nd and variants with smaller trivalent R ions. The ordering of the d(xz) orbitals of the Fe2+ ions is thus being achieved at a cost of lowering the symmetry when the R size becomes unfavorably large. A definition of-the Verwey transition as a first-order orbital ordering of a valence-mixed phase is suggested. (C) 2003 Elsevier Inc. All rights reserved.