Resistivity and "One Dimensionality" inTi2O3

Energy bands in a ${\mathrm{Ti}}_2$ ${\mathrm{O}}_3$ lattice are parametrized in terms of overlap matrix elements. The requirements of "one-dimensional" energy bands as an explanation for recently observed specific-heat anomalies are compared to this parametrization and shown to be in conflict by three orders of magnitude. Resistivity measurements on oriented samples are also shown and also fail to support the "one-dimensional" hypothesis.