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Inelastic neutron scattering (INS) experiments under applied magnetic fieldat low temperatures show detailed low lying magnetic excitations in the socalled tridiminshed iron icosahedron magnetic molecule. The magnetic moleculeconsists of nine iron Fe$^{3+}$ ($s = 5/2$) and three phosphorous atoms thatare situated on the twelve vertices of a nearly perfect icosahedron. The threephosphorous atoms form a plane that separates the iron cluster into two weaklycoupled three- and six-ion fragments, \{Fe$_3$\} and \{Fe$_6$\}, respectively.The magnetic field INS results exhibit an $S=1/2$ ground state expected from aperfect equilateral triangle of the \{Fe$_3$\} triad with a powder averaged$g$-value $=2.00$. Two sets of triplet excitations whose temperature andmagnetic field dependence indicate an $S=0$ ground state with twonon-degenerate $S=1$ states are attributed to the \{Fe$_6$\} fragment. Thesplitting may result from a finite coupling between the two fragments,single-ion anisotropy, antisymmetric exchange couplings, or from magneticfrustration of its triangular building blocks.

Magnetic spectra in the tridiminished-icosahedron \{Fe$_9$\} nano-cluster by inelastic neutron scattering