Phosphorus (P) is present in a germanium (Ge) sample. Assume that one of its five valence electrons revolves in a Bohr orbit around each P+ ion in the Ge lattice. (a) If the effective mass of the electron is 0.17 me and the dielectric constant of Ge is 16, find the radius of the first Bohr orbit of the electron. (b) Ge has a band gap (Eg) of 0.65 eV. How does the ionization energy of the above electron comparing to Eg and kBT at room temperature?
Phosphorus (P) is present in a germanium (Ge) sample. Assume that one of its five valence electrons revolves in a Bohr orbit around each P+ ion in the Ge lattice. (a) If the effective mass of the electron is 0.17 me and the dielectric constant of Ge is 16, find the radius of the first Bohr orbit of the electron. (b) Ge has a band gap (Eg) of 0.65 eV. How does the ionization energy of the above electron comparing to Eg and kBT at room temperature?
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter12: The Solid State
Section: Chapter Questions
Problem 18P
Related questions
Question
- Phosphorus (P) is present in a germanium (Ge) sample. Assume that one of its five valence electrons revolves in a Bohr orbit around each P+ ion in the Ge lattice.
(a) If the effective mass of the electron is 0.17 me and the dielectric constant of Ge is 16, find the radius of the first Bohr orbit of the electron.
(b) Ge has a band gap (Eg) of 0.65 eV. How does the ionization energy of the above electron comparing to Eg and kBT at room temperature?
Expert Solution
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 4 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning