Canada's National Laboratory for Particle and Nuclear Physics
Canada's national laboratory for particle and nuclear physics, owned and operated as a joint venture by a consortium of Canadian universities, is accelerating science for Canada. This laboratory, funded through the National Research Council Canada, plays a crucial role in advancing research in the field of physics, specifically focusing on particle and nuclear studies. The facility conducts lectures and research activities related to detectors, electron energy, band gaps, semiconductor properties, and more.
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Canadas national laboratory for particle and nuclear physics Laboratoire national canadien pour la recherche en physique nucl aire et en physique des particules Accelerating Science for Canada Un acc l rateur de la d marche scientifique canadienne Owned and operated as a joint venture by a consortium of Canadian universities via a contribution through the National Research Council Canada Propri t d un consortium d universit s canadiennes, g r en co-entreprise partir d une contribution administr e par le Conseil national de recherches Canada
?? = ?0 ? ? = ? < ?0 ?kinetic= ? ?(?) ?kinetic> 0 0 0 ? ? = ?sin2?? ? 0 = ? = 0 ? =2? ? ?? = ?sin??? ? Nov 2, 2015 Detector Physics - Lecture 3 3
?? = Empty States ?0 ?? Filled States ?2 2?= 2 ?2 2 8??2 0 ?kinetic= 2??2= 0 ? 2 2 ?0 32??2 ??= ?? ?? ?0 ?? Nov 2, 2015 Detector Physics - Lecture 3 4
Conduction band Electron energy Band gap ?? Conduction band ?? ?? 1eV ?? ?? 6eV Valence band Valence band Insulator Semiconductor Metal Nov 2, 2015 Detector Physics - Lecture 3 5
Electron energy 1 ?? ? ? = ?? 1eV ?? ? ?? ?? + 1 ? Density of e- states Semiconductor ??(?) ?? = ? ? ?(?) ??(Si) = 1.1 eV ??(Ge) = 0.7 eV 3/2 2?? 2 ? ? ?? = 4? ??? For HW: Derive This Nov 2, 2015 Detector Physics - Lecture 3 6
?? 3/2 2?? 2 ? ? ?? = 4? ??? Effective mass 3/2 2?? 2 ? ? ?? = 4? ? ???? e- density ??= ? ? ? ? ?? 3/2 2?? 2 ? ?? ? ?? ?? + 1 = 4? ?? ? ?? 3/2 2?? 2 ? ?? ?? ??3/2 ?? ??? = 4? ?? 0 Nov 2, 2015 Detector Physics - Lecture 3 7
?? 3/2 2?? 2 ? ?? ?? ??3/2 ?? ??? ??= 4? ?? 0 3/2 2?? 2 ? 2? ?? ?? ??3/2 ??= 4? ?? 3/2 2? 2 ? 2? ?? ?? Electron energy ??3/2 ? = 4? ?? ?? ?? 1eV ?? ?? Density of holes Semiconductor Nov 2, 2015 Detector Physics - Lecture 3 8
?? 3/2 2?? 2 ? ?? ?? ??3/2 ?? ??? ??= 4? ?? 0 3/2 2?? 2 ? 2? ?? ?? ??3/2 ??= 4? ?? 3/2 2? 2 ? 2? ?? ?? ??3/2 ? = 4? ?? Density of holes ?? 2?? ??= ? = ?? ?3/2? Intrinsic charge carrier concentration ??? = ?? ?3/2? ?? 2?? Nov 2, 2015 Detector Physics - Lecture 3 9
?? ?? Nov 2, 2015 Detector Physics - Lecture 3 10
? = ?? ? = ??? ? ? ? ? =?? ?? ? = ??+ ? ? Nov 2, 2015 Detector Physics - Lecture 3 11
? ? ??= ??? = ?? 1 ? = ? ????+? ? Nov 2, 2015 Detector Physics - Lecture 3 12
Nov 2, 2015 Detector Physics - Lecture 3 13
Nov 2, 2015 Detector Physics - Lecture 3 14
?? Slide courtesy of M. Fortner, N. Illinois University Nov 2, 2015 Detector Physics - Lecture 3 15
?? ?? ? =??? ???0 Nov 2, 2015 Detector Physics - Lecture 3 16
Slide courtesy of M. Fortner, N. Illinois University ?? =???2 ? = ? ?? = ??? ???0 2???0 2???0? ?? ? = ??= 16 Nov 2, 2015 Detector Physics - Lecture 3 17
?? Nov 2, 2015 Detector Physics - Lecture 3 19
?? ?? ????= ???? ?? ?? ??? ??? Nov 2, 2015 Detector Physics - Lecture 3 20
?2? ?2= ?(?) ? 1. ?1? : < ? < ?? ? = 0 2. ?2? : ??< ? < 0 ? = ??? 3. ?3? :0 < ? < ?? ? = ??? 4. ?4? :??< ? < ? = 0 ??1 ??=??4 ??= 0 ?1? = ?1 ?4? = ?4 Nov 2, 2015 Detector Physics - Lecture 3 21
?2? ?2= ?(?) ? 1. ?1? : < ? < ?? ? = 0 ?2? : ??< ? < 0 ? = ??? ?3? :0 < ? < ?? ? = ??? ?4? :??< ? < ? = 0 2. 3. ?2 2+ ?3?? + ?3? ??3 ???? = ?3? = ??? 4. ? ??3 ?? = 0 ?3?=??? ?? ? ?2?3 ??2= ??? ?2?3 ?=?? ? ??2?? =??3 ??= ??? ? + ?3? ? Nov 2, 2015 Detector Physics - Lecture 3 22
?2? ?2= ?(?) ? 1. ?1? : < ? < ?? ? = 0 ?2? : ??< ? < 0 ? = ??? ?3? :0 < ? < ?? ? = ??? ?4? :??< ? < ? = 0 2. 3. 4. ?2 2+????? ?2? =??? ? + ?2? ? ? ??3 ?? = 0 ?3?=??? ?? ? ?=?? ?2 2+????? ?3? = ??? ? + ?3? ? ? Nov 2, 2015 Detector Physics - Lecture 3 23
?2? ?2= ?(?) ? ?1? = ?1 ?2 2+????? ?2? =??? ? + ?2? ? ? ?20 = ?30 ?2?= ?3?= ?? ?2 2+????? ?3? = ??? ? + ?3? ? ? ?4? = ?4 Nov 2, 2015 Detector Physics - Lecture 3 24
?2? ?2= ?(?) ? ?1? = ?1 ?2 2+????? ?2? =??? ? + ?? ? ? ?2 2+????? ?3? = ??? ? + ?? ? ? ?0= ?4 ?1= ?3?? ?2 ?? ?4? = ?4 2 2 2 +????? ?0=????? ????? ?? ?? 2? 2? 2? Nov 2, 2015 Detector Physics - Lecture 3 25
2 ?0 ????? ?? ?? 2? 2??0 ??? ? ?? ? = ? = 20 Nov 2, 2015 Detector Physics - Lecture 3 26
Homework Up to 10 mm in Si. 10 cm in Ge Nov 2, 2015 Detector Physics - Lecture 3 27
Si 3.62 eV 3.81 eV Ge ------ 2.96 eV 300 K 77 K Nov 2, 2015 Detector Physics - Lecture 3 28
Nov 2, 2015 Detector Physics - Lecture 3 30
Nov 2, 2015 Detector Physics - Lecture 3 31
Canadas national laboratory for particle and nuclear physics Laboratoire national canadien pour la recherche en physique nucl aire et en physique des particules TRIUMF: Alberta | British Columbia | Calgary | Carleton | Guelph | Manitoba | McGill | McMaster | Montr al | Northern British Columbia | Queen s | Regina | Saint Mary s | Simon Fraser | Toronto | Victoria | Western | Winnipeg | York Owned and operated as a joint venture by a consortium of Canadian universities via a contribution through the National Research Council Canada Propri t d un consortium d universit s canadiennes, g r en co-entreprise partir d une contribution administr e par le Conseil national de recherches Canada
