PHYSICS F/SCI.+ENGR.,V.1 (CHAP.1-20)
5th Edition
ISBN: 9780134378053
Author: GIANCOLI
Publisher: RENT PEARS
expand_more
expand_more
format_list_bulleted
Question
Chapter 40, Problem 40P
To determine
Prove that the number of states per unit energy interval for an electrons as
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(a) For indium phosphide (InP) at room
temperature, calculate the electron and
hole mobilities for the following cases :
For intrinsic InP, the electrical
conductivity, the number of electrons
per cubic meter and the number
of holes
per cubic meter
are
2.5 x 10-6 (22m)¹, 3× 10¹3 m -3
and
3 x 1013 m3, respectively. Similarly, for
n-type extrinsic InP, the electrical
conductivity, the number of electrons
per cubic meter and the number of
cubic meter
holes
per
3-6x 10-6 (2m), 4.5 × 10¹3-3
2 x 10¹3 m³, respectively.
are
and
Show that for an ideal Fermi-Dirac gas that
(kT\
4
57? (kT
1+
12
2
2 Νμο
P-5 V
16 \Ho)
(a)
Emission of microwave radiation from the J = 1→0 transition of a
molecule has been detected at 88.63 GHz from a region of interstellar
space in which there is evidence of thermal equilibrium and a temperature
of around 20 K. Estimate the frequency and relative intensity of the
J = 2 → 1 transition of the same molecule.
Chapter 40 Solutions
PHYSICS F/SCI.+ENGR.,V.1 (CHAP.1-20)
Ch. 40 - What type of bond would you expect for (a) the N2...Ch. 40 - Describe how the molecule CaCl2 could be formed.Ch. 40 - Does the H2 molecule have a permanent dipole...Ch. 40 - Although the molecule H3 is not stable, the ion...Ch. 40 - The energy of a molecule can be divided into four...Ch. 40 - Would you expect the molecule H2+ to be stable? If...Ch. 40 - Explain why the carbon atom (Z = 6) usually forms...Ch. 40 - Prob. 1PCh. 40 - (II) The measured binding energy of KCl is 4.43eV....Ch. 40 - (I) Show that the quantity 2/I has units of...
Ch. 40 - Prob. 9PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 35PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 44P
Knowledge Booster
Similar questions
- The energy spectrum of a particle consists of four states with energies 0,e, 2 e,3 e. Let Z, (T),Z, (T) and Ze(") denote the canonical partition functions for four non- interacting particles at temperature T. The subscripts B, F and C corresponds to bosons, fermions and distinguishable classical particles, respectively. Let y= exp k„T Which one of the following statements is true about ZB (T), ZF (T) and Zc (T)? (a) They are polynomials in y of degree 12,6 and 12, respectively. (b) They are polynomials in y of degree 16,10 and16, respectively (c) They are polynomials in y of degree 9,6 and 12, respectively. (d) They are polynomials in y of degree 12,10 and 16, respectively.arrow_forwardFor 3D free electron gas, the density of states counts the number of degenerate electron states dn per energy interval dE around a given energy E as g(E): = dn dE 3 (2m₂)2V 1 E2 2π²ħ³ At absolute zero temperature, N electrons can fill up all low lying energy levels (following Pauli exclusion principle) up to a given energy level E called Fermi energy. From the density of states, what is the relation between the total electron states N below a given energy E? Use this result to show that the Fermi energy EF is given by - - 2010 (307² M)³ ħ² 3π²N\3 EF 2me Varrow_forwardAn atom, with atomic mass A = 22 is trapped in a harmonic oscillator with angular frequency 24.5 rad/s. If the atom is cooled into its quantum ground state, what is the spatial rms width Δx (in microns) of its Gaussian probability distribution? [Δx is similar to a classical standard deviation]arrow_forward
- Consider a two-dimensional electron gas in a 80 ǺGaAs/AlGaAs quantumwell structure. Assume an infinite potential model with m* = 0.067m0 to calculate the electronic properties. Plot the density of states of the system (up to 0.5 eV fromthe bottom of the well) at (i) B = 0, (ii) B = 8 T, and(iii) B = 14T.arrow_forward(b) Copper crystallises as FCC (face centred cubic). Given that the atomic radius and density of a given copper sample are 1.28 x 1010 m and 8.98 x 10' kg/m' respectively, carry out the following: Calculate the mass of the copper sample. T'ake Avogadro's number, NA = 6.023 x 1023 atoms/mole. (i) (ii) If the interatomic planar spacing, d, in the sample above is 2.96 x 1010 m, determine the angle at which the first Bragg reflection will occur from the (111) plane if x-radiation of wavelength 1.52 x 10-10 m is used for the analysis. (c) Give two uses of pure copper and two commercial applications of copper alloys.arrow_forward2) For a KCl crystal (that you came across in Ch. 1) the unit cell parameter is 6.3Å and the Young's modulus of elasticity along (100] direction is 29.67 GPa (or 29.67 x10° N/m²). (a) Calculate the maximum value of the frequency of the optical branch and the corresponding wavelength. (b) Estimate the forbidden frequency band gap. The atomic masses of the K and Cl atoms are 39 amu and 37 amu, respectively (1 amu 1.67x10-27 kg) = (Hint: You may need to use the Young modulus of elasticity to find the spring constant).arrow_forward
- Bhwa),` where a is (a) Show that the partition function of a photon gas is Z = Πα for the vibration modes of the electromagnetic field. (b) Show that the free energy of an electromagnetic radiation is F(V,T) = = -aVT4, 1-e-Bħwa, where a is a constant. The density of states of an electromagnetic radiation is given by V g(w) = 723 w².arrow_forward(4) Electronic energy level of a hydrogen atom is given by R ; п %3D 1,2, 3,... n2 E = - and R = 13.6 eV. Each energy level has degeneracy 2n2 (degeneracy is the number of equivalent configurations associated with the energy level). (a) Derive the partition function for a hydrogen atom at a constant temperature. (b) Consider that the energy level of a hydrogen atom is approximated by a two level system, n = 1,2. Estimate the mean energy at 300 K.arrow_forwardPlot the following planes and the directions perpendicular to these planes in a cubic crystal structure: (112), (221) and (121). [Note: plot each and direction in one cubic crystal structure.]arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning