Resolution of a semiconductor detector

In summary, to calculate the potential resolution for detecting a gamma-ray with an energy of 700 keV using a novel semiconductor detector crystal, we first determine the average energy needed to create an electron-hole pair (1.8 eV) and the Fano factor (0.2). Then, we use the equation Resolution = square root (F/N) to calculate the resolution, which is equal to 7.17x10-4 eV. This means that the detector can accurately measure the energy of the gamma-ray with a precision of 7.17x10-4 eV.
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Homework Statement



A novel semiconductor detector crystal requires an average energy of 1.8 eV to create an electron-hole pair, it has a Fano factor of F=0.2. Use this information to calculate the potential resolution for detecting a gamma-ray with an energy of 700 keV.

Homework Equations



Resolution = square root (F/N)

The Attempt at a Solution


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Carrier charge number N = 700,000 eV / 1.8 eV = 388,888 electron-hole pairs

Resolution = square root (0.2/388,888) = 7.17x10-4

 
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eV

The potential resolution for detecting a gamma-ray with an energy of 700 keV is 7.17x10-4 eV. This means that the detector can accurately measure the energy of the gamma-ray with a precision of 7.17x10-4 eV.
 

What is the resolution of a semiconductor detector?

The resolution of a semiconductor detector refers to its ability to distinguish between different energy levels of incident radiation. It is a measure of the detector's ability to accurately determine the energy of the detected particles.

How is the resolution of a semiconductor detector measured?

The resolution of a semiconductor detector is typically measured by the Full Width at Half Maximum (FWHM) method. This involves measuring the width of the energy peak at half of its maximum height.

What factors affect the resolution of a semiconductor detector?

The resolution of a semiconductor detector can be affected by several factors, including the detector material, the thickness of the detector, the quality of the electronics, and the operating temperature.

What is the importance of high resolution in a semiconductor detector?

High resolution in a semiconductor detector is important for accurately measuring the energy of detected particles. This is especially crucial in applications such as medical imaging and nuclear physics, where precise energy measurements are necessary.

How can the resolution of a semiconductor detector be improved?

The resolution of a semiconductor detector can be improved by using high-quality detector materials, optimizing the thickness of the detector, and implementing advanced signal processing techniques. Additionally, keeping the detector at a stable and low temperature can also improve its resolution.

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