EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Question
Chapter 40, Problem 42P
(a)
To determine
Find the Fermi energy of one-dimensional metal.
(b)
To determine
Find the smallest amount of energy that this one-dimensional metal absorb.
(c)
To determine
Find the limit of
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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.
.In sodium there are about 2.6 x 1028 conduction electrons per cubic metre
which behave as a free electron gas. Fronm these facts estimate the Fermi
energy of the gas and an approximate value of the molar electronic heat
capacity at 300K.
(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.
Chapter 40 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
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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- (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(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(4) Find the Fermi energy of lithium Er, the Fermi temperature TF, and the speed of wF of the fastest free electrons.arrow_forward
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