In absolute and semi-empirical calculations of full gamma-energy peak
efficiencies (ep), geometrical/compositional data characterizing the detector
should be known in much detail. Among these, detector crystal edge rounding
(bulletization), if neglected, may lead to large systematic errors,
especially for low gamma-energies and close counting geometries. The errors
show quadratic dependence on the extent of bulletization (bulletization
radius). Mathematical/analytical solution to the problem - not reported so
far - is elaborated in the present work. Relevant mathematical formulae are
derived for a number of counting arrangements most frequently encountered in
gamma-spectrometry practice (point, disc, cylinder, and Marinelli sources).
These are subsequently programmed for numerical calculations and are now part
of commercially available ANGLE software. Extensive calculation testing is
performed for HPGe (both p- and n-type) and LEPD detectors (several sizes
each), with various sources (point, disc, cylinder, Marinelli) and counting
geometries (0-20 cm source-to-detector distance). Energy range considered
was 10-3000 keV. To elucidate the significance of the issue, an error
propagation study was conducted: results with bulletization taken into
account are compared to those when bulletization was neglected. Corresponding
errors are tabulated in an extensive Excel file. The file comprises about 152
000 error calculation results which are available for download; a few
characteristic ones are selected for presenting in the paper. ANGLE proved
handy (in programming) and fast (in calculations) when accomplishing this
task. The data convincingly illustrate the impact of detector bulletization
on gamma-efficiency and thus the need to account for. Even only slight
bulletization (1-2 mm bulletization radius) is not negligible in many
realistic counting situations. Reader/analyst can (1) compare his/her
counting situation with these data so as to get the first impression of the
problem and (2) use the mathematical model presented and/or ANGLE software to
address the issue.