Rietveld refinements using time-of-flight neutron diffraction data are reported for two forms of Mg2TiO4 (Mr=160-51), MgTiO3 (Mr=120.20) and two samples of MgTi205 (Mr = 200" 10). The compounds were synthesized at 1673K and subsequently annealed and quenched from other temperatures. All data were collected at room temperature on a 10 m powder diffractometer at a nominal scattering angle of 150 ° 20. Mg2TiO4 annealed at 973 K has the spinel structure, space group Fd3m, with a= 8.4376(5),~, V=600.71(ll)A 3, Z=8. Mg2TiO4 prepared at 773 K is tetragonal, space group P4122, a = 5.9748 (5), c = 8.414 (7) A, V= 300.37 (7) A 3, Z = 4. Final weighted-profile R values are 0.0376 and 0-0327 for the cubic and tetragonal spinels, respectively. In the cubic form, Mg and Ti are disordered in a single octahedral site to form a nearly perfect inverse spinel, although there may be considerable short-range order. The tetragonal structure is a slight distortion of the cubic one, with two inequivalent octahedral sites over which the Mg and Ti are highly, but completely, ordered. MgTiO3 annealed_at 1073 K has the ilmenite structure, space group R3, a = 5.05478 (26), c = 13.8992 (7)/~, V = 307.56 (4) A 3, Z = 6. The final Rwp is 0.0257. Mg and Ti are completely ordered between two octahedral sites, and probably remain so at temperatures up to Mg-Ti distribution in both samples is disordered, with the 1773 K sample substantially more disordered. The lattice parameters of MgTi205 are sensitive to the degree of disorder. These results have been combined with thermochemical data obtained on the same specimens to derive an understanding of the effects of order-disorder on the phase-stability relations of these compounds.