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Using single crystal inelastic neutron scattering with and withoutapplication of an external magnetic field and powder neutron diffraction, wehave characterized magnetic interactions in Ba$_3$Cr$_2$O$_8$. Even withoutfield, we found that there exist three singlet-to-triplet excitation modes in$(h,h,l)$ scattering plane. Our complete analysis shows that the three modesare due to spatially anisotropic interdimer interactions that are induced bylocal distortions of the tetrahedron of oxygens surrounding the Jahn-Telleractive Cr$^{5+} (3d^1)$. The strong intradimer coupling of $J_0 = 2.38(2)$ meVand weak interdimer interactions ($|J_{\rm inter}| \leq 0.52(2)$ meV) makesBa$_3$Cr$_2$O$_8$ a good model system for weakly-coupled $s = 1/2$ quantum spindimers.

Weakly coupled $s = 1/2$ quantum spin singlets in Ba$_{3}$Cr$_{2}$O$_{8}$