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The equation was presented for the spontaneous emission rate Anano of the two-level optical centers in the subwavelength ellipsoidal nanocrystals embedded in a dielectric medium.An important result was that the ratio Anano/Abulk could be estimated without recourse to a particular local-field model.On the ground of this equation the expression was derived for linestrength of electric-dipole transition in trivalent rare-earth ions.The applicability of the Judd-Ofelt equation for nanoparticles was discussed.

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