7.7 The measured thermal conductivity of germanium at 300°K is 0.63 W/ºK, in a range where acoustic phonon scattering dominates. (a) What fraction of this thermal conductivity is caused by free electrons if the free-electron density is 101¹7 cm-3 and the electron mobility is 4 × 10³ cm²/V-sec? (b) What must the concentration of free electrons in germanium at 300°K be in order for the electronic contribution to the thermal conductivity to be equal to the lattice contribution? (c) The thermoelectric power

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.5P: To determine the thermal conductivity of a structural material, a large 15-cm-thick slab of the...
icon
Related questions
Question

Please provide Handwritten answer

7.7 The measured thermal conductivity of germanium at 300°K is
0.63 W/°K, in a range where acoustic phonon scattering dominates.
(a) What fraction of this thermal conductivity is caused by free electrons
if the free-electron density is 101" cm-³ and the electron mobility is 4x 10
cm2/V-sec?
(b) What must the concentration of free electrons in germanium at 300°K
be in order for the electronic contribution to the thermal conductivity to be
equal to the lattice contribution?
(c) The thermoelectric power corresponding te (a) is measured to be
0.46 mV/°K. How far below the conduction-band edge does the Fermi
level lie?
Transcribed Image Text:7.7 The measured thermal conductivity of germanium at 300°K is 0.63 W/°K, in a range where acoustic phonon scattering dominates. (a) What fraction of this thermal conductivity is caused by free electrons if the free-electron density is 101" cm-³ and the electron mobility is 4x 10 cm2/V-sec? (b) What must the concentration of free electrons in germanium at 300°K be in order for the electronic contribution to the thermal conductivity to be equal to the lattice contribution? (c) The thermoelectric power corresponding te (a) is measured to be 0.46 mV/°K. How far below the conduction-band edge does the Fermi level lie?
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Conduction
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning