M. Cankurtaran et al., ULTRASONIC STUDY OF THE ELASTIC AND NONLINEAR ACOUSTIC PROPERTIES OF THE PARAMAGNETIC CR-5 AT-PERCENT-V SINGLE-CRYSTAL ALLOY, Philosophical magazine. B. Physics of condensed matter. Statistical mechanics, electronic, optical and magnetic, 74(4), 1996, pp. 349-357
To assist understanding the effects of pressure on the magnetoelastic
interactions in antiferromagnetic Cr alloys, the elastic and nonlinear
acoustic properties of single-crystal Cr-5 at.% V alloy, which is par
amagnetic at all temperatures, have been studied by the ultrasonic pul
se-echo-overlap technique. Measurements of the hydrostatic-pressure de
pendences of the velocities of ultrasonic modes, propagated along the
[100] and [110] directions, have been used to obtain the hydrostatic-p
ressure derivatives (partial derivative C-IJ/partial derivative P)(P=0
) of the elastic-stiffness tensor components C-IJ. At 296 K, (partial
derivative C-11/partial derivative P)(P=0), (partial derivative C-L/pa
rtial derivative P)(P=0), (partial derivative C-44/partial derivative
P)(P=0), (partial derivative C'/partial derivative P)(P=0) and (partia
l derivative B-S/partial derivative P)(P=0) are 9.1 +/- 0.1, 8.7 +/- 0
.1, 1.0 +/- 0.02, 1.74 +/- 0.02 and 6.8 +/- 0.1 respectively. To estab
lish the vibrational anharmonicity of the long-wavelength acoustic mod
es, the results obtained for C-IJ and (partial derivative C-IJ/partial
derivative P)(P=0) have been used to calculate the corresponding Grun
eisen parameters. The mean long-wavelength acoustic Gruneisen paramete
r gamma(el)(= 1.43) is similar to the thermal Gruneisen parameter gamm
a(th)(= 1.45). Comparison of the results obtained for C-IJ, (partial d
erivative C-IJ/partial derivative P)(P=0) and gamma(el) for Cr-5 at.%
V with data available for antiferromagnetic Cr-0.3 at.% Ru and Cr-3.5
at.% Al alloys have established that pressure effects strongly the mag
netoelastic coupling between the long-wavelength longitudinal acoustic
phonons and the spin-density wave in the antiferromagnetic alloys; sh
ear mode interactions are very small. The magnetic contributions to th
e longitudinal elastic stiffnesses C-11 and C-L and bulk modulus B-S o
f these alloys increase sharply upon application of pressure, while th
ose to the shear elastic stiffnesses C-44 and C' are influenced only s
lightly.