Optimizing Lead Shielding for Gamma Radiation Protection

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Discussion Overview

The discussion focuses on determining the appropriate thickness of lead required to reduce gamma radiation exposure to below 5 gray, considering various factors such as the intensity and energy of the gamma rays. The scope includes theoretical aspects of radiation shielding and mathematical modeling of attenuation coefficients.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants emphasize the need for specific information about the source and strength of the gamma rays to determine the required lead thickness.
  • One participant provides a mathematical model for radiation intensity as it passes through lead, highlighting the exponential decay and the role of the attenuation coefficient.
  • Another participant notes that the attenuation coefficient is energy-dependent and suggests looking for an attenuation coefficient vs energy diagram for lead.
  • One contributor mentions that the most penetrating photon energies are around 1 to 2 MeV, with significant effects from the photoelectric effect below 0.5 MeV and pair production above 2 MeV.
  • A participant recalls that 2 inches of lead can reduce Cobalt 60 radiation by about a factor of 10, providing a specific example of lead's effectiveness.
  • Further details are provided regarding the gamma absorption cross section for different energy levels, indicating varying effectiveness of lead at those energies.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact thickness of lead required, as multiple factors such as source intensity and energy levels are acknowledged as critical to the calculations. The discussion remains unresolved regarding specific recommendations.

Contextual Notes

The discussion highlights limitations related to the dependence on specific source characteristics, the need for detailed energy information, and the complexity of calculating attenuation based on varying coefficients.

NJV
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What thickness of lead is needed to neutralize brief exposure to gamma radiation, or at least reduce it to below 5 gray?
 
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You need to provide more info about the source or strength of the gamma rays.
 
NJV said:
What thickness of lead is needed to neutralize brief exposure to gamma radiation, or at least reduce it to below 5 gray?

As has been stated, you need to know the intensity and energy of the x-rays (or gamma rays). Essentially, the intensity of radiation as it passes through a thickness of lead diminishes exponentially with the thickness of lead.

i.e. I(x) = I(0) exp (- m.x) + c

where I(x) is the intensity as a function of x, the thickness of lead and m is what is known as the attenuation co-efficient of lead. c being the background radiation.

However, there's a problem, because m is a function of the energy of the source. You should be able to find an attenuation coefficient vs energy diagram for lead somewhere on the net.

If you have a specific source, then it will emit certain energies with a certain intensity. You'd have to find out how much each was attenuated to find the diminished activity and finally work out the number of grays in the usual manner.
 
Thank you for the information. The equation proves useful.
 
The most penetrating x-ray (or photon) energy is about 1 or 2 MeV. Below about 0.5 MeV, the photoelectric effect off of bound electrons is significant, and above 2 MeV, pair production (of an electron and positron) becomes significant. I seem to recall that 2 inches of lead reduces Cobalt 60 radiation by about a factor of 10.
 
Bob S said:
The most penetrating x-ray (or photon) energy is about 1 or 2 MeV. Below about 0.5 MeV, the photoelectric effect off of bound electrons is significant, and above 2 MeV, pair production (of an electron and positron) becomes significant. I seem to recall that 2 inches of lead reduces Cobalt 60 radiation by about a factor of 10.

Cobalt 60 radiation has two gammas, 1.1 MeV and 1.3 MeV.

The lead gamma absorption cross section for 1 to 2 MeV gammas is in the range of 20 barns. For 50 KeV, the photoelectric cross section is a few kilobarns (compared to a few barns for carbon).
 

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