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A hexamer-type spin excitation seen in spinel chromates $A$Cr$_2$O$_4$ ($A$ =Mg, Zn, or Cd) is the representative spin-liquid-like state caused bygeometrical frustration. To clarify an origin of the state, we comparativelystudied spin excitations in an isomorphic material HgCr$_2$O$_4$ by inelasticneutron scattering, and observed a different molecular-type excitation.Numerical analyses performed using model Hamiltonians suggest that these twotypes of spin excitations originate from a spin-3/2 molecular singlet hidden ina magnetically ordered phase. The difference between the molecular types isexplained by the difference in the kind of exchange interactions occurring inthe chromates.

Molecular spin-liquid state in spin-3/2 frustrated spinel HgCr$_2$O$_4$