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We report high-resolution optical absorption spectra for NdFe3(BO3)4 trigonalsingle crystal which is known to exhibit a giant magnetoelectric effect belowthe temperature of magnetic ordering TN = 33 K. The analysis of thetemperature-dependent polarized spectra reveals the energies and, in somecases, symmetries and exchange splittings of Nd3+ 84 Kramers doublets. Weperform crystal-field calculations starting from the exchange-charge model,obtain a set of six real crystal-field parameters, and calculate wave functionsand magnetic g-factors. In particular, the values g(perpendicular) = 2.385,g(parallel) = 1.376 were found for the Nd3+ ground-state doublet. We obtainBloc=7.88 T and |JFN|= 0.48 K for the values of the local effective magneticfield at liquid helium temperatures at the Nd3+ site and the Nd - Fe exchangeintegral, respectively, using the experimentally measured Nd3+ ground-statesplitting of 8.8 cm-1. To check reliability of our set of crystal fieldparameters we model the magnetic susceptibility data from literature. A dimercontaining two nearest-neighbor iron ions in the spiral chain is considered topartly account for quasi-one-dimensional properties of iron borates, and thenthe mean-field approximation is used. The results of calculations with theexchange parameters for Fe3+ ions Jnn = -6.25 K (intra-chain interactions) andJnnn = -1.92 K (inter-chain interactions) obtained from fitting agree well withthe experimental data.Comment: 13 pages, 8 figures, 2 table

physical review. b, condensed matter and materials physics

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Optical spectra, crystal-field parameters, and magnetic susceptibility of multiferroicNdFe3(BO3)4