A new theoretical approach is presented here to calibrate the HPGe well-type detectors using cylindrical sources. This approach depends on the accurate calculation of two important factors; the first factor is the average path length (d) covered by the photon inside the active volume of a gamma detector, whereas, the second one is the geometrical solid angle ((OMEGA)_(geo)) subtended by the source to the detector. These two factors are theoretically derived in straightforward analytical formulae. The present model leads to a direct evaluation of the full energy peak efficiency ((epsilon)_(P)) for these source-detector geometries. The validity of this work will be clear via systematic comparisons for these geometries with the experimental method and the Monte Carlo simulations. Also the validity of it over the traditional direct mathematical method reported by Abbas [1] and Abbas and Selim [2] will be presented. Simple programming is possible and short computer time is needed.
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