Elastic properties of holmium vanadate, HoVO 4 , have been investigated by means of an ultrasonic method. The elastic constants C 11 , ( C 11 - C 12 )/2 and C 66 exhibited remarkable softenings possessing minimum points around 13.5 K, which are characterized by the quadrupolar responses for the singlet ground state system. Appling magnetic fields along the tetragonal c -axis, the elastic anomalies of ( C 11 - C 12 )/2 and C 66 associated with the level crossing of the singlet ground state at about 10.6 T have been found. The rotational invariance effect has been revealed in the C 44 mode under magnetic fields along c -axis.
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Gotô et al. (1986) studied this question.
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