Representative Brillouin spectra of natrolite (a) and analcime (b) zeolites at ambient conditions. The compressional and two shear ( and ) acoustic modes are clearly visible on both the Stokes and anti-Stokes sides of the spectra. The features at in natrolite spectrum (a) are unattenuated tails of the Rayleigh peak.
Measured acoustic velocities in natrolite as a function of crystallographic directions in (a) (0.7465, 0.6654, and ), (b) (, , and 0.9997), and (c) (, 0.9950, and 0.1001) planes. The lines show the acoustic velocities calculated from the best-fit single-crystal elastic moduli. The rms deviation between the calculated and measured velocities is . Uncertainties in the experimental velocities are smaller than the symbol size.
Measured velocities in analcime as a function of crystallographic directions in the (, 0.1146, and 0.3402) plane. The angle corresponds to the [0.1879, , and 0.7651] direction. The best-fit acoustic velocity model is shown by solid lines. The rms deviation between the calculated and measured velocities is . The error bars on the measured velocities are smaller than the symbol size.
Single-crystal elastic moduli of natrolite and analcime zeolites.
Aggregate elastic properties of natrolite and analcime zeolites. All elastic moduli and acoustic velocities, reported as Voigt-Reuss-Hill averages, are given in GPa and km∕s, respectively.
Directional Poisson’s ratios and Young moduli of natrolite and analcime.
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