The effect of the spin-echo pulse sequence on homonuclear dipolar-coupled spins in solids has been studied. Precise analysis has revealed that the sequence may not yield simple Pake doublets but rather complicated patterns because of the imperfect refocusing of the chemical shifts. This strong-coupling effect has been verified experimentally through the measurement of the P-31 two-dimensional spin-echo powder pattern for polycrystalline tetraphenyldiphosphine; our choice of tetraphenyldiphosphine was fortunate because it transpired that the non-parallel chemical-shift tensors of the two P-31 nuclei in the compound yield the desired residual chemical-shift effects.