Why is the Anode at the Center of a GM Tube?

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The anode is positioned at the center of a Geiger-Mueller (GM) tube to enhance the electric field strength, which is significantly greater at the central electrode compared to the outer electrode. This polarization facilitates the detection of radiation by causing an avalanche discharge from the interactions of liberated electrons with gas atoms. If polarity is reversed, it can lead to increased discharge damage and higher noise levels due to excessive current density at the cathode. The design choice minimizes potential damage and optimizes performance by placing the cathode on the outer side. Overall, the central anode configuration is crucial for effective radiation detection in GM tubes.
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Why is the GM tube polarised?

What benefit comes from having the anode at the centre of the tube? What happens if you reverse the polarity?
 
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The Geiger-Mueller counter (and gas-filled proportional counters in general) is polarized in order to cause interactions of the electrons liberated by the radiation with atoms in the gas, which causes a detectable avalanche discharge, as well as collecting the charges (electrons).

The electric field density is proportional to 1/r, and so the electric field is stronger at the central electrode (typically ~ two orders of magnitude greater than that at the outer electrode). Since electrons (photoelectrons) are emitted from the cathode, it is preferred to have the cathode on the outside because the current density on a centrally located cathode would be quite high and thus the damage from discharge would be greater for a given voltage, and the quench time and detector noise would be greater because secondary events would more easily cause electons to be emitted from the cathode.
 
Many thanks. A clear answer.

I had suspected it was something to do with the increased field strength at the centre of the tube, but was unsure of the reason.
 
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