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New numerical algorithm method to calibrate the HPGe cylindrical detectors using non-axial extended source geometries
Sherif S Nafee1, Mohamed S Badawi, Ayman H Ahmed
1Physics Department, Faculty of Science, Alexandria University, Alexandria, Egypt. nafee_shra@yahoo.com
Summary
A new numerical algorithm method calibrates high-purity germanium detectors for nuclear waste and environmental analysis. This method accurately determines full-energy peak efficiency, crucial for accurate sample measurements.
Area of Science:
- Nuclear Physics
- Analytical Chemistry
- Radiation Detection
Background:
- Accurate full-energy peak efficiency is vital for analyzing nuclear waste and environmental samples.
- Standardized calibration is impractical due to the diverse physical and nuclear properties of samples.
- Existing methods may not adequately address self-attenuation and coincidence summing effects.
Purpose of the Study:
- To develop and validate a novel numerical algorithm method (NAM) for calibrating coaxial high-purity germanium (HPGe) detectors.
- To incorporate self-attenuation and coincidence summing effects into the calibration algorithm.
- To achieve high accuracy in efficiency determination for cylindrical source-detector arrangements.
Main Methods:
- A new numerical algorithm method (NAM) was developed for detector calibration.
- Coaxial HPGe cylindrical detectors were calibrated using cylindrical sources.
- The algorithm accounts for self-attenuation and coincidence summing effects at close source-detector distances.
- Calibration was performed with sources positioned perpendicularly to the detector axis.
Main Results:
- The NAM demonstrated a remarkable agreement between measured and calculated efficiencies.
- Discrepancies between experimental and computed efficiencies were less than 3%.
- The method proved effective for cylindrical source-detector geometries.
Conclusions:
- The proposed NAM provides an accurate and reliable method for calibrating HPGe detectors.
- The algorithm effectively addresses self-attenuation and coincidence summing, improving measurement accuracy.
- This approach is valuable for applications requiring precise efficiency determination, such as environmental and nuclear waste analysis.

