Abstract: Scintillators having a geometric configurations that substantially prevent x-ray beams from passing entirely through a gap between adjacent scintillators are described. More particularly, if the scintillators are cut on an angle to form parallelogram or trapezoidal shapes, or if the detector module is tilted in the x-ray beam z-axis, an x-ray beam will not pass through a non-scintillating gap between adjacent scintillators over the range of focal spot positions. Such scintillators have an increased geometric efficiency compared to known scintillator constructions.