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Abstract
The one speed neutron criticality problem is studied in plane and spherical geometries for a fission and scattering kernel with an extremely backward bias. It is shown that, the critical size, in both geometries, decreases with increasing backward bias and vanishes at a certain backward anisotropy. The vanishing of the critical size may be referred to as “built-in reflection effect” for which an explanation similar to the given for the vanishing of the critical thickness at some forward anisotropy is put forward.