Calculated absolute full-energy peak efficiencies for true coaxial Ge(Li) detectors in the photon energy region 0.1–3.0 MeV with different source-to-detector geometries

Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources

“…15 The fac tors f and f att have been de fined in eqs. (9) and (11), but in this case, the av er age path length, d, trav eled by the pho ton through the de tec tor and the solid an gle will as sume new forms due to the ge om etry of fig. 2.…”

“…It re quires a large num ber of ra dio ac tive stan dards, im plying a high fi nan cial cost, along with count ing time and a lot of ef fort in pre par ing the sources [3]. In or der to over come the said ob sta cles, sev eral non-ex per i men tal meth ods [4][5][6][7][8][9][10][11][12] have been pro posed and ap plied, de -pend ing on pho ton en ergy, source-de tec tor ge om e try and vol ume. Also, Selim and Abbas over came these hur dles by de riv ing a di rect math e mat i cal method for ob tain ing the ef fi cien cies of source-de tec tor sys tems with dif fer ent ge om e tries such as point source [13,14], disk source [15,16], cy lin dri cal source [17], Marinelli beaker [18], parallelepiped [19], and well-type de tectors [20].…”

Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector

“…By combining Eqs. (7)(8)(9)(10)(11)(12)(13), results in direct mathematical expression for the total efficiency subtended by an elliptical cylindrical detector, from an isotropic radiating central point source S (0, 0, h). …”

“…Several authors [2][3][4][5][6][7][8] have been treated the issue concerning with the absolute efficiencies determination and have given some useful solutions to this problem. Recently, Selim and Abbas [9][10][11][12][13][14][15] calculated the total and full-energy peak efficiencies for any source-detector configuration using spherical coordinates system.…”

New algorithm for studying the effect of self attenuation factor on the efficiency of γ-rays detectors

“…The determination of the activity of different kinds of samples generally necessitates time consuming efficiency calibrations for any specific geometry [1]. Because the experimental calibration of full-energy peak efficiency is tedious and difficult for extended sources, a great deal of research [2][3][4][5][6][7][8] has been focused on the development of computational techniques to solve this problem. Also, Abbas and Selim [9][10][11][12][13][14], solved this problem by derived direct analytical integrals of the detector efficiencies (total and full-energy peak) for any source-detector configuration and implemented these analytical expressions into a numerical integration computer program.…”