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?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter42: Molecules And Solids

Section: Chapter Questions

Problem 25P

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