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Inelastic neutron scattering (INS) experiments have been performed on theCu$_3$ triangular molecular nanomagnet using powder samples. In the mediumresolution INS spectrum measured, there are two peaks at $\hbar\omega=0.5$ and0.6 meV. Comparing the observed $Q$ dependences of these peaks withcalculations, these two INS peaks originate from the Cu$_3$ cluster. From theobserved peak position, width, and intensity, we have determined the optimumparameters of the spin Hamiltonian consisted of the antiferromagnetic exchangeand the Dzyaloshinsky-Moriya interactions, which can also reproduce themagnetic susceptibility measurement. In addition, we have directly observedthat the ground state quartet is split into two doublets with the energyseparation of 0.103 meV using high-resolution neutron spectroscopy, whichexactly corresponds to that expected from the optimum parameters obtained fromthe medium resolution xperiment. The temperature dependences of the integratedintensities of the 0.5 and 0.6 meV peaks are well reproduced by the Boltzmanndistribution of the energy levels of the model Hamiltonian below 10 K.Furthermore, the inelastic peaks were visible even at very high temperatures as50 K. This indicates extraordinary weak coupling between phonons (or any otherperturbations) and spin states in the Cu$_3$ cluster, compared to the otherknown molecular nanomagnets.

physical review. b, condensed matter and materials physics

Dzyaloshinsky-Moriya interaction and long life time of the spin state in  the Cu$_3$ triangular spin cluster by inelastic neutron scattering  measurements