Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
5th Edition
ISBN: 9780134378046
Author: GIANCOLI, Douglas
Publisher: PEARSON
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Chapter 40, Problem 36P
To determine
Find the Fermi energy and Fermi speed for sodium.
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(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.
(4) Find the Fermi energy of lithium Er, the Fermi temperature TF, and the speed of wF of the
fastest free electrons.
[30 P] A silicon wafer is doped with 1015 cm-3 donor atoms. Assume light
generates density of electrons and holes equal to 1018 cm-3. Calculate the total
electron and hole concentrations and location of the quasi-Fermi levels for the
electrons and holes with respect to the intrinsic Fermi level. (n = 1x1010 cm-3,
Ne = 2.8x1019 cm-3, Ny = 1.04x1019 cm3, T = 300K).
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Chapter 40 Solutions
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
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
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Similar questions
- 2) (i) The Fermi Silver is temperature we 14% in which Fermi Energy of the 4.4 ev. At what (au expect a probability that electrons have an silver Joom density is 2% energy? (11) Consider silicon sample at temperature with hole 2x (012 cm-3 be energy a above the a) Estimate the electron density b) determine the acceptor density Concentration if the donor density is 1012arrow_forward3) The Seebeck voltage for Copper Constantan (Cn) thermocouple is given by the linear relation V = a+ bT, For Cu : a = 0.6 mV, andb=0.008 mV/K. For Cn : a = -20 mV, and b = -0.056 mV/K. Calculate the thermoelectric power when the hot junction is at 100 C. 24 where T is the absolute temperature of the hot junction, and a and b are constantsarrow_forward3) The Seebeck voltage for Copper Constantan (Cn) thermocouple is given by the linear relation V = a + bT, where T is the absolute temperature of the hot junction, and a and b are constants. For Cu : a = Calculate the thermoelectric power when the hot junction is at 100 C. 0.6 mV, and b = 0.008 mV/K. For Cn : a = -20 mV, and b -0.056 mV/K. %3Darrow_forward
- 4) Calculate the Fermi temperature TF for Cu and Ag. Also calculate the ratio T/TF in each case for T = 300 K. The effective masses for Cu and Ag are 1.0 and 1.2 times the mass of the electron me respectively, and the concentration of electrons for Cu and Ag are 8.45x1028 m3 and 5.85 x 1028 m-³x1028m-³ respectively.arrow_forward(c) Obtain expressions for the Fermi energy, the total energy and the density of states for a free electron gas in one dimension. Show the variation of the density of states with energy.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 10-10 m and 8.98 x 10' kg/m' respectively, carry out the following: (i) Calculate the mass of the copper sample. Take Avogadro's number, NA = 6.023 x 1023 atoms/mole. 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. (ii)arrow_forward
- (6) Find the drift velocity va of conduction electrons subject to a electric field of 1 V/m and compare it with the Fermi velocity VE.arrow_forwardWhat mass of phosphorus is needed to dope 1.0 g of silicon so that the number density of conduction electrons in the silicon is increased by a multiply factor of 106 from the 10^16 m-3 in pure silicon.arrow_forwardAn n-type Si wafer has been doped uniformly with 10" cm antimony (Sb) atoms. Calculate the position of the Fermi energy with respect to the Fermi energy Er in intrinsic Si nlx10" cm] 0.363 eV 0.288 eV O 0.298 eV O 0.267eVarrow_forward
- 10-18. Consider a system in which the density of states of the electrons f(ɛ) is f(E) = constant = D ɛ>0 ɛ<0 Calculate the Fermi energy for this system; determine the condition for the system being highly degenerate; and then show that the heat capacity is proportional to T for the highly degenerate case.arrow_forward(i) The total electrical resistivity of metals is the sum of the contributions from thermal vibrations, impurities and plastic deformation; (ii) the resistivity rises linearly with temperature above -200 degree Celsius; (iii) increasing the concentration of impurity results in an enhancement of impurity; (iv) plastic deformation also raises the electrical resistivity due to the increased numbers of electron-scattering dislocations. Which of the above statements is false? D. (iv) A. (i) C. (iii) E. All of the above B. (ii) Other:arrow_forwardIn a transistor, collector region width is maximum when it 1. Collects maximum number of charge carrier 2. Reduces heat dissipation per unit area Out of these Neither 1 nor 2 incorrect Only 1 is correct Both 1 and 2 is correct Only 2 is correctarrow_forward
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