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Full magnetization process of magnetic nanocluster Mn4, including all itsactual multiplets, is theoretically investigated. The formulas needed todetermine the exchange constants of cluster Mn4 from experimental data areobtained. It is shown that quantum jumps of magnetization of this nanoclusterare in area of megagauss magnetic fields. Remarkable feature of considerednanocluster Mn4 differing it from other multispin molecules is that itsexchange spin Hamiltonian supposes exact diagonalization. This provides areliable basis for comparison of theoretical predictions with experimental dataand is important for development of new experimental techniques of high-spinmolecule research.

Exchange interactions and full magnetization process of multispin nanoclaster Mn4