Table 7.1 Typical examples of polarization mechanisms. Example Polarization Static !r Comment Ar gas Electronic 1.0005 Small N in gases: !r "1 Ar liquid (T < 87.3K) Electronic 1.53 van der Waals bonding Si crystal Electronic polarization due to valence electrons 11.9 Covalent solid; Electronic bond polarization NaCl crystal Ionic 5.90 Ionic crystalline solid CsCl crystal Ionic 7.20 Ionic crystalline solid Water Orientational 80 Dipolar liquid Nitromethane (27°C) Orientational 34 Dipolar liquid PVC (Polyvinyl chloride) Orientational 7 Dipole orientations partly hindered in the solid From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 7.2 Dielectric properties of three insulators. ƒ = 60 Hz Material ƒ = 1 MHz !r' tan#$ %tan#$ ! r' tan#$ %tan#$ 3.17 9&10-4 0.34 2.96 1&10-2 6.2&104 Silicone rubber 3.7 2.25&10-2 8.48 3.4 4&10-3 2.5&104 Epoxy with mineral filler 4.7&10-2 17.7 3.4 3&10-2 18&104 Polycarbonate 5 From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 7.3 Dielectric loss per unit volume for two insulators. f = 1 MHz Material ! r' tan# f = 1 MHz Loss (mW cm-3) !r' tan# Loss ' -3 (mW cm ) (W cm-1 K XLPE 2.3 3&10 -4 0.230 2.3 4&10 -4 5.12 0.005 Alumina 8.5 1&10 -3 2.84 8.5 1&10 -3 47.3 0.33 From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 7.4 Dielectric Strength; typical values at room temperature and 1 atm. Dielectric Medium Dielectric Strength Comment Atmosphere at 1 atm pressure 37.1 kV cm at 60Hz SF6 gas 79.3 kV cm at 60Hz Polybutene >138 kV cm at 60Hz Transformer oil 128 kV cm at 60Hz Amorphous silicon dioxide (SiO2) in MOS technology 10 MV cm dc Borosilicate glass 10 MV cm duration of 10µs Intrinsic breakdown. -1 6 MV cm duration of 30 s Thermal breakdown. Polypropylene 295-314 kV cm -1 1 cm gap. Breakdown by electron avalanche by impact ionization -1 Used in high voltage circuit breakers to avoid discharges -1 Liquid dielectric used as oil filler and HV pipe cables -1 -1 Very thin oxide films without defects. Intrinsic breakdown limit. -1 -1 Likely to be thermal breakdown or electrical treeing. From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 7.5 Dielectric insulation candidates for a coaxial cable. Strength !r Dielectric (60Hz) (60Hz) (kV cm-1) C (60Hz) (pF m-1) Breakdown Voltage Voltage for Partial Discharge in a Microvoid XLPE 2.3 217 116 59.6 kV 11.9 kV Silicone rubber 3.7 158 187 43.4 kV 7.4 kV From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 7.6 Comparison of dielectric properties at 60 Hz for capacitor applications; typical values. (Assume η = 2, PS = Polystyrene, PET = Polyehthyleneterephthalate. X7R is the name of a particular ceramic solid solution.). Polymer film PS Polymer film PET Mica Name Polystyrene Polyester Mica !r' 2.5 6.9 tan# 3&10 -1 3.2 -4 5 &10 -3 5x10 -4 Ceramic Al2O3 High-K Ceramic (BaTiO3 based) Anodized Polycrystalline X7R alumina titania film 8.5 90 1,800 1x10 -3 Ceramic TiO2 4 x10 -4 5x10 -2 Ebr (kV cm ) 200-250 150-200 1000 1000 50-100 100 d (typical minimum) -3 Cvol ((F cm ) 1-2 (m 1-2 (m 2.5 (m 0.1 (m 10 (m 10 (m 22.1 28 10 7,500 7.5 159.4 -3 1.1 0.80 76 94 2.5 200 Wvol (W cm ) -3 0.00025 0.0030 0.029 0.071 0.00075 7.5 Polarization Electronic Bond Electronic bond and Dipolar Ionic Ionic Ionic Large ionic displacement Evol (mJ cm ) From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 7.7 Piezoelectric materials and some typical values for d (piezoelectric coefficient) and k (electromechanical conversion factor). -1 k Comment -12 0.1 Crystal oscillators, ultrasonic transducers, delay lines, filters Crystal d (m V ) Quartz (crystal SiO2) 2.3&10 Rochelle salt (NaKC4H4O6.4H2O) 350&10 -12 0.78 Barium titanate (BaTiO3) 190&10-12 0.49 Accelerometers PZT, Lead zirconate titanate (PbTi1-xZrxO3) 480&10 0.72 Wide range of applications including earphones, microphones, spark generators(gas lighters, car ignition), displacement transducers, accelerometers. Polyvinylidene fluoride (PVDF) 18.2&10 -12 -12 Must be poled; heated, put in an electric field and then cooled. Large area and inexpensive. From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca
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