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
Chapter18: Electrochemistry
Section: Chapter Questions
Problem 9RQ: What characterizes an electrolytic cell? What is an ampere? When the current applied to an...
Related questions
Question
![### 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd230794e-e523-4ec2-92f4-d9c51a06a3bf%2F18b64362-afea-440b-85f9-a0ff39d99a67%2Fgszc2u_processed.png&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry: An Atoms First Approach](https://www.bartleby.com/isbn_cover_images/9781305079243/9781305079243_smallCoverImage.gif)
Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781133611097/9781133611097_smallCoverImage.gif)
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry: An Atoms First Approach](https://www.bartleby.com/isbn_cover_images/9781305079243/9781305079243_smallCoverImage.gif)
Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781133611097/9781133611097_smallCoverImage.gif)
![Principles of Modern Chemistry](https://www.bartleby.com/isbn_cover_images/9781305079113/9781305079113_smallCoverImage.gif)
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
![Chemistry by OpenStax (2015-05-04)](https://www.bartleby.com/isbn_cover_images/9781938168390/9781938168390_smallCoverImage.gif)
Chemistry by OpenStax (2015-05-04)
Chemistry
ISBN:
9781938168390
Author:
Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:
OpenStax