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development of micro-pattern gaseous detectors – gem - LMU

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Chapter 7<br />

Gas Gain Studies<br />

This chapter describes the gas gain <strong>of</strong> prototype 1.0 filled with a gas mixture <strong>of</strong> Ar/CO2 at the ratio<br />

93/7.<br />

7.1 Gain Studies for Ar/CO2 at 93/7<br />

The gas gain G is defined as the ratio <strong>of</strong> total created charge over primary charge in the detector.<br />

Due to recombination and electron transparency it is possible that not all liberated electrons in the<br />

triple GEM detector reach the anode. Furthermore, not all charges that reach the anode contribute<br />

to the recorded pulse due to voltage equalization on Cdet and Ccoup (see Ch. 3.4.3). Thus it is more<br />

reasonable to use the expression effective gas gain Ge f f [Bach 99]:<br />

G := Ntotal<br />

Nprimary<br />

= e αx<br />

chargelosses<br />

−→ Ge f f = Nsignal<br />

Nprimary<br />

where Nsignal corresponds to the fraction <strong>of</strong> created charge Qcoup reaching the coupling capacitor Ccoup<br />

<strong>of</strong> the preamplifier:<br />

Nsignal · e =: Qcoup<br />

with the elementary charge e = 1.6 × 10 −19 C. The gain depends on various parameters as the<br />

gas pressure and temperature, the gas itself and on the applied voltages as well as the geometry <strong>of</strong><br />

the GEM holes. As stated in Ch. 1.2.4 the gain is exponentially depending on the thickness <strong>of</strong> the<br />

amplification gap x in Eq 7.1. The first Townsend coefficient α is directly proportional to the applied<br />

fields [Leo 94]. To determine the effective gain we used the Kα line <strong>of</strong> the 55 Fe source. The amount<br />

<strong>of</strong> detected charges Nsignal is taken from the mean value <strong>of</strong> the Gaussian fit to the histogram (cf. Ch.<br />

4.1):<br />

Nsignal = Uout<br />

FCV · e = Kαmean · mADC<br />

FCV · e<br />

where FCV is the charge-to-voltage conversion factor, i.e. the internal amplification <strong>of</strong> the preamplifier<br />

and mADC the scaling factor <strong>of</strong> the flash ADC, 0.244 mV per ADC channel. The estimated error<br />

∆Nsignal corresponds to the standard deviation σ <strong>of</strong> the fitted Kα peak in the same way.<br />

Data were taken with a centrally placed irradiation source and readout via the Canberra2004 preamplifier<br />

with the tabulated conversion factor FCV = 1 V/pC. The temperature and pressure were held<br />

constant at T = 296 ± 1 K and p = 1020 ± 10 mbar, respectively. It can be seen that the effective<br />

73<br />

(7.1)<br />

(7.2)<br />

(7.3)

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