Non-linear acoustic properties and acoustic-mode vibrational anharmonicity of 18R martensite Cu-Zn-Al shape-memory alloy

To shed further light on the dynamics of the martensitic transformation in shape-memory alloys, measurements have been made of the effects of hydrostatic pressure on the velocities of 15 different pure ultrasonic modes propagated at room temperature in a Cu sub 0.696 Zn sub 0.128 Al sub 0.176 single-crystal alloy in its 18R martensitic phase. Although the point symmetry group of the 18R martensite is monoclinic, the elastic behaviour can be reasonably described in terms of an orthorhombic structure; the further monoclinicity beyond such an orthorhombic representation is very small and can be neglected to a first approximation. The results obtained for the nine independent second-order elastic stiffness tensor components C sub IJ in the 18R structure and their hydrostatic-pressure derivatives ( delta C sub IJ / delta P) sub P=0 have been used to calculate the mode Gruneisen parameters gamma sub p (N), which quantify the vibrational anharmonicity of long-wavelength acoustic phonons. Results are compared with those computed from TOEC data measured on a beta -phase Cu-Zn-Al single crystal with a similar composition. At room temperature, about 28 K below the martensitic transition temperature (=323 K), the longitudinal mode gamma sub p (N) have normal, positive values; however, those gamma sub p (N) associated with some shear modes have negative values. A pronounced minimum has been found in the Gruneisen parameter of the shear mode propagated along the [111] direction with [121] polarization vector. It is concluded that the lattice stability against this particular shear mode decreases as the sample approaches the martensitic transition.