A systematic method for designing heterogeneous configurations having a near-zero value of sodium void reactivity is presented. It is based on the following principles: (a) the thickness of the internal blanket zones should be such that the reactivity change resulting from voiding any core zone is practically independent of any further increase in the thickness of these zones, and (b) the sodium void reactivity of each core zone must have a near-zero value. Neutronic coupling among the core zones of heterogeneous configurations decreases as the thickness of the internal blanket zones increases. To quantify coupling, Avery’s coupling coefficients are used. Reduced coupling among the core zones of a heterogeneous design, compared to a homogeneous design, results in (a) increased sensitivity of the power distribution to enrichment distribution perturbations, (b) reduced reactivity worth of local perturbations, and (c) higher cladding temperatures during operational transients initiated by local perturbations. Heterogeneous designs compared to equivalent homogeneous designs have (a) lower core Doppler coefficient values, (b) larger fuel compaction reactivities, and (c) higher maximum cladding temperatures.