First-principles quantum mechanical calculations based on the local-de
nsity-functional theory have been performed to study the electronic, p
hysical, and metallurgical properties of C15 intermetallics MV2 (M = Z
r, Hf, or Ta), The elastic constants of C15 HfV2 + Nb were measured by
the resonant ultrasound spectroscopy technique, The phase stability o
f C15 HfV2 + Nb was studied by specific heat measurements and by TEM i
n a low-temperature specimen holder, The total energies and their latt
ice volume dependence were used to obtain the equilibrium lattice cons
tants and bulk modulus, The band structures at the X-point near the Fe
rmi level were employed to understand the anomalous temperature depend
ence of the shear modulus of the C15 intermetallics. It was found that
the double degeneracy with a linear dispersion relation of electronic
levels at the X-point near the Fermi surface is mainly responsible fo
r the C15 anomalous elasticity. The density of states at the Fermi lev
el, N(E-F), and the Fermi surface geometry were obtained to understand
the low-temperature phase instability of C15 HfV2 and ZrV2 and the st
ability of C15 TaV2, It is proposed that the large N(E-F) and Fermi su
rface nesting are the physical reasons for the structural instability
of the C15 HfV2 and ZrV2 at low temperatures, The relationship between
the anomalous elasticity and structural instability of C15 HfV2 and Z
rV2 are also discussed.