Experiments have revealed that equiatomic ZrRh alloy exhibits, upon co
oling or heating, a structural transformation of the martensitic type
from B2 to B19' and vice versa, involving a hysteresis of the order 20
0 degrees C and a shape memory effect. On the basis of the electronic
structure calculation for the B2 phase of the ZrRh alloy, it is sugges
ted that a reason for the structural instability of this ZrRh phase po
ssessing a high-symmetry can be presence of a flat region near the Fer
mi level in the dispersion law.