𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Parametric equation for the efficiency curve of germanium detectors

✍ Scribed by Victor Delgado Martinez; Raúl T. Mainardi; Raúl A. Barrea; Carmen Martínez Hidalgo; Pedro A. Derosa; Marisa Marco Arboli


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
207 KB
Volume
27
Category
Article
ISSN
0049-8246

No coin nor oath required. For personal study only.

✦ Synopsis


The simple equation used to calculate the intrinsic photopeak efficiency of a semiconductor germanium detector consisting of one factor which allows for the x-ray transmission through the window and another factor which takes into account the photoelectric interaction in the active volume of the detector has proved to be insufficient since it does not consider the escape of photons with characteristic line energies. An analytical expression embodying all physical processes for photon interaction, including the escape of characteristic photons, is proposed ; such an expression corrects the simpliÐed equation shown in modern textbooks. When the detectorÏs thickness is known, the model can be reduced to an expression with one free parameter, which was chosen to be the equivalent beryllium thickness, in order to describe the attenuation of the incident photon beam. The value of the parameter is Ðnally obtained by comparison of the tabulated Ka/Kb as compared to the measured Ka/Kb values for thin, high-purity samples. The efficiency curves for two cylindrical 5 and 7 mm thick germanium detectors were obtained with the sole assumption that photons escape from the upper, or radiation entrance, detector face. Finally, Monte Carlo simulations of the detection of x-rays with these detectors with an ad hoc developed program show that the proposed parametric function is useful to Ðt results over a broad range of energies.


📜 SIMILAR VOLUMES


An efficient method of solving the Navie
✍ H. M. Park; M. W. Lee 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 345 KB 👁 2 views

A new method of solving the Navier-Stokes equations e ciently by reducing their number of modes is proposed in the present paper. It is based on the Karhunen-Lo eve decomposition which is a technique of obtaining empirical eigenfunctions from the experimental or numerical data of a system. Employin

An efficient numerical method for the re
✍ Eliane Bécache; Grégoire Derveaux; Patrick Joly 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 267 KB

## Abstract We solve numerically the Kirchhoff‐Love dynamic plate equation for an anisotropic heterogeneous material using a spectral method. A mixed velocity‐moment formulation is proposed for the space approximation allowing the use of classical Lagrange finite elements. The benefit of using high