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We report resonant ultrasound spectroscopy (RUS),dilatometry/magnetostriction, magnetotransport, magnetization, specific heat,and $^{119}$Sn M\"ossbauer spectroscopy measurements on SnTe andSn$_{0.995}$Cr$_{0.005}$Te. Hall measurements at $T=77$ K indicate that ourBridgman-grown single crystals have a $p$-type carrier concentration of $3.4\times 10^{19}$ cm$^{-3}$ and that our Cr-doped crystals have an $n$-typeconcentration of $5.8 \times 10^{22}$ cm$^{-3}$. Although our SnTe crystals arediamagnetic over the temperature range $2\, \text{K} \leq T \leq 1100\,\text{K}$, the Cr-doped crystals are room temperature ferromagnets with a Curietemperature of 294 K. For each sample type, three-terminal capacitivedilatometry measurements detect a subtle 0.5 micron distortion at $T_c \approx85$ K. Whereas our RUS measurements on SnTe show elastic hardening near thestructural transition, pointing to co-elastic behavior, similar measurements onSn$_{0.995}$Cr$_{0.005}$Te show a pronounced softening, pointing toferroelastic behavior. Effective Debye temperature, $\theta_D$, values of SnTeobtained from $^{119}$Sn M\"ossbauer studies show a hardening of phonons in therange 60--115K ($\theta_D$ = 162K) as compared with the 100--300K range($\theta_D$ = 150K). In addition, a precursor softening extending overapproximately 100 K anticipates this collapse at the critical temperature, andquantitative analysis over three decades of its reduced modulus finds $\DeltaC_{44}/C_{44}=A|(T-T_0)/T_0|^{-\kappa}$ with $\kappa = 0.50 \pm 0.02 $, a valueindicating a three-dimensional softening of phonon branches at a temperature$T_0 \sim 75$ K, considerably below $T_c$. We suggest that the differences inthese two types of elastic behaviors lie in the absence of elastic domain wallmotion in the one case and their nucleation in the other.

Tin telluride: a weakly co-elastic metal