Abstract

We have obtained new inelastic neutron scattering (INS) data for the molecular magnet Mn 12 -acetate which exhibit at least six magnetic peaks in the energy range 5–35 meV. These are compared with a microscopic Heisenberg model for the 12 quantum spins localised on the Mn ions, coupled by four inequivalent magnetic exchange constants. A fit to the magnetic susceptibility under the constraint that the spin of the ground state be S = 10 yields two dominant exchange constants of very similar value, J 1 ≈ J 2 ≈ 65 K ( ≈ 5.5 meV), and two smaller exchange constants J 3 and J 4 . We compute the low-lying excitations by exact numerical diagonalisation and demonstrate that the parameters determined from the ground state and susceptibility fit provide qualitative agreement with the excitations observed by INS.

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