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Cross-singular dips at the center of the spectra of polycrystals of Pake systems, i.e., systems containing well-isolated pair groupings, are obtained by numerical calculations of the NMR absorption line for a 10-spin (I=1/2) model. The physical reason for such dips is the behavior of the flip-flop component of the interpair dipole–dipole interactions (“6/5 factor”). Cases of experimental manifestation of cross-singular dips are noted. © 1998 American Institute of Physics. [ABSTRACT FROM AUTHOR]