Parameters to use for the problems that follow: K = 1.38 × 10-23 J/K q = 1.6 × 10-¹⁹ coulombs For Silicon at room temperature (T = 300°K): EG = 1.12eV -3 n₁ = 1 × 10¹0 cm- € Si Ksio (11.8) (8.85 × 10-¹4)F/cm = Hp 384.62cm²/V - sec, Dp = 10cm²/sec = 1230.77cm²/V – sec, - = fln Dn = 32cm²/sec Tn 1 2.0 × 10-¹sec, Tp = 9.0 × 10-5sec = 8.0 × 10-2cm, Ep = 3.0 × 10-²cm En - A sample of silicon at room temperature and in thermal equilibrium is doped with donor atoms such that ND = 4 x 10¹5 cm-³. Determine the concentration of electrons and holes. ND
Parameters to use for the problems that follow: K = 1.38 × 10-23 J/K q = 1.6 × 10-¹⁹ coulombs For Silicon at room temperature (T = 300°K): EG = 1.12eV -3 n₁ = 1 × 10¹0 cm- € Si Ksio (11.8) (8.85 × 10-¹4)F/cm = Hp 384.62cm²/V - sec, Dp = 10cm²/sec = 1230.77cm²/V – sec, - = fln Dn = 32cm²/sec Tn 1 2.0 × 10-¹sec, Tp = 9.0 × 10-5sec = 8.0 × 10-2cm, Ep = 3.0 × 10-²cm En - A sample of silicon at room temperature and in thermal equilibrium is doped with donor atoms such that ND = 4 x 10¹5 cm-³. Determine the concentration of electrons and holes. ND
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:### Parameters to Use for the Following Problems
#### Fundamental Constants:
- \( K = 1.38 \times 10^{-23} \, \text{J/K} \)
- \( q = 1.6 \times 10^{-19} \, \text{coulombs} \)
#### For Silicon at Room Temperature (\( T = 300^\circ K \)):
- Energy Gap (\( E_G \)) = 1.12 eV
- Intrinsic Carrier Concentration (\( n_i \)) = \( 1 \times 10^{10} \, \text{cm}^{-3} \)
- Permittivity of Silicon (\( \epsilon_{Si} = K_{Si}\epsilon_0 \))
- \( K_{Si} = 11.8 \)
- \( \epsilon_0 = 8.85 \times 10^{-14} \, \text{F/cm} \)
#### Carrier Mobilities and Diffusion Constants:
- Hole Mobility (\( \mu_p \)) = \( 384.62 \, \text{cm}^2/\text{V-sec} \)
- Electron Mobility (\( \mu_n \)) = \( 1230.77 \, \text{cm}^2/\text{V-sec} \)
- Hole Diffusion Constant (\( D_p \)) = \( 10 \, \text{cm}^2/\sec \)
- Electron Diffusion Constant (\( D_n \)) = \( 32 \, \text{cm}^2/\sec \)
#### Carrier Lifetimes:
- Electron Lifetime (\( \tau_n \)) = \( 2.0 \times 10^{-4} \, \sec \)
- Hole Lifetime (\( \tau_p \)) = \( 9.0 \times 10^{-5} \, \sec \)
#### Carrier Diffusion Lengths:
- Electron Diffusion Length (\( L_n \)) = \( 8.0 \times 10^{-2} \, \text{cm} \)
- Hole Diffusion Length (\( L_p \)) = \( 3.0 \times 10^{-2} \, \text{cm} \)
### Problem 1:
A sample of silicon at room temperature and in thermal equilibrium is doped with donor atoms such that \( N_D = 4 \times
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