Analytical efficiency curve for coaxial germanium detectors

Area of Science:

• Nuclear spectroscopy
• Applied physics
• Analytical chemistry

Background:

• Accurate efficiency calibration is crucial for quantitative gamma-ray spectrometry.
• Existing methods may lack precision or require extensive experimental data.
• Semi-empirical models offer a balance between theoretical rigor and practical application.

Purpose of the Study:

• To introduce a novel semi-empirical analytical expression for gamma-ray spectrometer efficiency curves.
• To develop a robust method for determining the parameters of this new expression.
• To enhance the accuracy and reliability of gamma-ray spectrometry measurements.

Main Methods:

• Development of a two-part analytical expression for efficiency curves.
• A basic detector characterization curve with few parameters.
• A corrective curve to refine the final efficiency values.

Main Results:

• The proposed semi-empirical expression effectively models gamma-ray spectrometer efficiency.
• The parameter determination method yields accurate and reproducible results.
• The two-part approach allows for adjustment to achieve desired measurement accuracy.

Conclusions:

• The new analytical expression and parameter determination method provide a significant advancement in gamma-ray spectrometry.
• This approach offers a practical and accurate tool for researchers and analysts.
• Improved efficiency curve modeling leads to more reliable quantitative analysis of gamma-ray emitting samples.