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Charge relaxation times Z. Insepov, V. Ivanov
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Glass conductivity
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Materials properties Pore structure Pore diameters – 20 m Al 2 O 3 +ZnO coatings – 1 m and 5 m Aspect ratio -- 40 Materials parameters: Glass: = 1 10 -17 S/m, =5.8 Al 2 O 3 +ZnO: = 1 10 -8 S/m, =6.9 Air: = 1 10 -17 S/m, =1
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Al2O3 + ZnO coating resistivity h z r d r = 20 m d = 1 m h = 1.6 mm R 1 = N R MCP resistance: R = 18-100 M N = 5 10 6 pores R 1 =R N = (18-100 M ) 5 10 6 = (90-500) 10 12
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Microscopic model of charge relaxation A.K. Jonscher, Principles of semiconductor device operations, Wiley (1960). A.H. Marshak, Proc. IEEE 72, 148-164 (1984). A.G. Chynoweth, J. Appl. Phys. 31, 1161-1165 (1960). R. Van Overstraeten, Solid St. Electronics 13 (1970) 583-608. L.M. Biberman, Proc. IEEE 59, 555-572 (1972). Z. Insepov et al, Phys.Rev. A (2008) r rr z r = 20 m r = 1 m Aspect ratio 40 A. Spherical symmetry B. Cylindrical symmetry z r r = 1 m Al 2 O 3 D , ,N – diffusion coeff., mobility, density of carriers ( = e,h)
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ZnO/Al2O3 alloy relaxation times Channel Resistive Layer Material 30% Al2O3+70% ZnO Relaxation time (current setting) 6.1 10 -6 sec Channel Resistive Layer Material 40% Al2O3+60% ZnO Relaxation time (desirable setting) 6.1 10 -3 sec The current set of emissive coating parameters is not acceptable due to very high curent ~ 20 mA!
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MCP Parameters Al2O3+ZnO Table 1: Dielectric constants [1] and resistivities [2] for Al2O3/ZnO ALD films *) DEZ -- Diethylzinc (Zn(CH2CH3) 1. Herrmann et al, Proc. of SPIE Vol. 5715 (2005) p.159. 2. Elam et al, J. Electrochem. Soc. 150, pp. G339-G347, 2003. % DEZ* exposures010253350 Dielectric Constant6.86.56.97.26.6 Resistivity ( cm) ~10 16 5x10 15 5x10 14 10 14 10 13 Relaxation times, sec6x10 3 2.9x10 3 305645.8 Bulk MaterialBorosilicate glass Dielectric Const5.8 Conductivity 1 10 -17 S/m Relaxation time 5.1 10 6 sec
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