Vi. Nizhankovskii et al., ANISOTROPY OF THE THERMAL-EXPANSION OF TITANIUM DUE TO PROXIMITY TO AN ELECTRONIC TOPOLOGICAL TRANSITION, JETP letters, 59(10), 1994, pp. 733-737
it has been found that the thermal expansion of titanium is anisotropi
C in the temperature interval 10 less-than-or-equal-to T < 160 K. Spec
ifically, the expansion coefficient is negative along the hexagonal ax
is and positive in the basal plane. This anisotropy is explained in te
rms of a particular feature of the electronic structure of titanium: p
roximity to electronic topological transitions.