Answered: (a) If the effective mass of the…

(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

Chemistry

9th Edition

ISBN:9781133611097

Author:Steven S. Zumdahl

Publisher:Steven S. Zumdahl

Chapter20: The Representative Elements

Section: Chapter Questions

Problem 88CWP

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Concept explainers

Group 14 Elements

The following elements come under group 14 of the periodic table.

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 m_e 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 (E_g) of 0.65 eV. How does the ionization energy of the above electron comparing to E_g and k_BT at room temperature?

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