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Study of radiation damage in silicon detectors for high ... - F9

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4Time Development <strong>of</strong> DefectsIn this chapter results <strong>of</strong> the study <strong>of</strong> time development <strong>of</strong> <strong>radiation</strong>-<strong>in</strong>duced defects arepresented. The study consists <strong>of</strong> measurements <strong>of</strong> two detector properties these defectscause, full depletion voltage and generation current (bulk reverse current). Time development<strong>of</strong> full depletion voltage (or N eff ) is described by equation 2.65. S<strong>in</strong>ce timeconstants <strong>for</strong> the anneal<strong>in</strong>g and reverse-anneal<strong>in</strong>g part dier by about two orders <strong>of</strong> magnitude(around room temperature order <strong>of</strong> days <strong>for</strong> anneal<strong>in</strong>g compared to about a year <strong>for</strong>reverse anneal<strong>in</strong>g) both phenomena have been studied separately. Due to large amounts<strong>of</strong> data available <strong>for</strong> the slow part <strong>of</strong> anneal<strong>in</strong>g (time scale <strong>of</strong> days at room temperature)[14, 18, 19, 21, 45, 46] this work is only deal<strong>in</strong>g with the fast part (time scale <strong>of</strong> hours)where data are rather scarce. Results <strong>of</strong> this study are presented <strong>in</strong> the rst section. Inthe second section reverse anneal<strong>in</strong>g <strong>of</strong> N eff is discussed with the purpose to determ<strong>in</strong>ethe dynamics <strong>of</strong> responsible processes (rst or second order). F<strong>in</strong>ally, <strong>in</strong> the third section,results on time development <strong>of</strong> reverse current are presented.4.1 Fast Anneal<strong>in</strong>g <strong>of</strong> NeffAccord<strong>in</strong>g to equation 2.65 and neglect<strong>in</strong>g reverse anneal<strong>in</strong>g on the time scale <strong>of</strong> measurements30 the <strong>in</strong>itial stage <strong>of</strong> N eff time development can be described byN eff (t) =g C eq + X ig i eq e ;t= i: (4.1)Here g i are <strong>in</strong>troduction rates and i decay time constants <strong>of</strong> unstable defects and g C<strong>in</strong>troduction rate <strong>of</strong> defects stable <strong>in</strong> time.30Reverse anneal<strong>in</strong>g contributes a few percent <strong>of</strong> constant level dur<strong>in</strong>g one week at 15 C and less atlower temperatures.55

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