We report cold-neutron inelastic neutron scattering measurements on deuterated samples of the giant polyoxomolybdate magnetic molecule {Mo72Fe30}. The 30 s = 5/2 Fe 3+ ions occupy the vertices of an icosidodecahedron, and interact via antiferromagnetic nearest neighbor coupling. The measurements reveal a band of magnetic excitations near E ≈ 0.6 meV. The spectrum broadens and shifts to lower energy as the temperature is increased, and also is strongly affected by magnetic fields. The results can be interpreted within the context of an effective three-sublattice spin Hamiltonian.PACS numbers: 75.25.+z, 75.50.Ee, 75.75.+a, 78.70.Nx Magnetic molecules are ideal prototypical systems for the study of fundamental problems in magnetism on the nanoscale level [1]. As a result, their properties have been the subject of many theoretical and experimental investigations [2,3,4,5,6,7,8,9,10,11,12]. Of paramount importance is the determination of the magnetic excitation spectrum. However, for a molecule with N magnetic ions of spin s the calculation of the (2s+ 1) N eigenstates and their energies quickly becomes impractical for increasing N and s. Neutron scattering is the most effective and direct technique for determining the magnetic energy levels, and there have been studies of excitations in several magnetic molecules containing up to 12 spins [2,3,4,5,6,7].In this Letter we report cold-neutron inelastic scattering results obtained on one of the largest magnetic molecules yet synthesized: the polyoxomolybdate cluster {Mo 72 Fe 30 }. The crystallographic structure is described by the space group R3 with the lattice constants: a ≈ 55.13Å, and c ≈ 60.19Å [9]. The molecule contains 30 Fe 3+ ions (s = 5/2) occupying the vertices of an icosidodecahedron. The magnetic ions are interlinked by Mo 6 O 21 fragments acting as super-exchange pathways, resulting in nearest neighbor antiferromagnetic exchange J S i · S j and a singlet spin ground state. As the icosidodecahedron consists of 20 corner-sharing triangles circumscribing 12 pentagons the spins are frustrated and show properties similar to the antiferromagnetic Kagomé lattice [13]. For s = 5/2 it is reasonable to consider classical spin vectors as a starting point [8], leading to a picture at T = 0 of three sublattices of 10 parallel spins each, with orientations defined by coplanar vectors offset by 120 • angles. As discussed below, many features of the observed scattering can be interpreted in the context of a solvable three-sublattice effective Hamiltonian substituted for the intractable Heisenberg Hamiltonian [8,10].Most of the neutron scattering experiments were performed on deuterated samples to minimize the attenuation and incoherent scattering from the hydrogen atoms. Characterization of the deuterated samples by infrared and Raman spectroscopy and X-ray diffraction confirmed that their properties were consistent with those of nondeuterated samples studied earlier [9].The neutron measurements used polycrystalline samples of approximately 10 g sealed in copper holde...