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A GEM Detector System for an Upgrade of the CMS Muon Endcaps

A GEM Detector System for an Upgrade of the CMS Muon Endcaps

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Figure 40: Loss rate <strong>for</strong> secondary electrons. The losses occur due to attachment to <strong>the</strong> quencher gas molecules<br />

(left) <strong>an</strong>d due to <strong>the</strong> electrons hitting <strong>the</strong> surface <strong>of</strong> copper metal or polyimide (right)<br />

The overall loss <strong>of</strong> <strong>the</strong> primary <strong>an</strong>d <strong>the</strong> secondary electrons c<strong>an</strong> be seen in <strong>the</strong> Fig. 41.<br />

Figure 41: Overall Loss rate <strong>for</strong> primary (left) <strong>an</strong>d secondary (right) electrons <strong>for</strong> penning parameter rp = 0.6<br />

If lp <strong>an</strong>d ls are <strong>the</strong> primary <strong>an</strong>d secondary electron losses, <strong>the</strong>n we c<strong>an</strong> define <strong>the</strong> collection efficiency (which is<br />

<strong>the</strong> efficiency <strong>of</strong> <strong>the</strong> electrons to make it into <strong>the</strong> hole), asǫcoll = 1−lp, <strong>an</strong>d <strong>the</strong> extraction efficiency (which is <strong>the</strong><br />

efficiency <strong>of</strong> secondary electrons to make it out <strong>of</strong> <strong>the</strong> <strong>GEM</strong> hole), as ǫextr = 1−ls.<br />

The effective gain (Geff ) is <strong>the</strong>n defined as :<br />

Geff = ǫcoll ×ǫextr ×Gtot<br />

The effective gain <strong>an</strong>d total gain c<strong>an</strong> be seen in Fig. 42. It is shown <strong>for</strong> different values <strong>of</strong> <strong>the</strong> Penning parameter.<br />

40

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