Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
4th Edition
ISBN: 9780132273244
Author: Doug Giancoli
Publisher: PEARSON
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Question
Chapter 40, Problem 40P
(a)
To determine
Find the Fermi factor for copper at room temperature and is it reasonable.
(b)
To determine
Find the probability that a state
(c)
To determine
Find the probability that a state
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(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.
(c) Calculate the Fermi energy of silver from the
data given below:
atom.
Density of Silver = 10.5 gm/cm³
atomic weight = 108
h = 6.62×10-34 Joule - sec
m = 9.1×10-³1 Kg.
Avogadro's number =6.02×10-21 atoms/gm-
(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)
Chapter 40 Solutions
Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
Ch. 40.4 - Determine the three lowest rotational energy...Ch. 40.6 - Prob. 1BECh. 40.6 - Prob. 1CECh. 40.8 - Prob. 1DECh. 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. 8QCh. 40 - Prob. 9QCh. 40 - Prob. 10QCh. 40 - Prob. 11QCh. 40 - Prob. 12QCh. 40 - Prob. 13QCh. 40 - Prob. 14QCh. 40 - Prob. 15QCh. 40 - Prob. 16QCh. 40 - Prob. 17QCh. 40 - Prob. 18QCh. 40 - Prob. 19QCh. 40 - Prob. 20QCh. 40 - Prob. 21QCh. 40 - Prob. 22QCh. 40 - Prob. 23QCh. 40 - Prob. 1PCh. 40 - (II) The measured binding energy of KCl is 4.43eV....Ch. 40 - (II) Estimate the binding energy of the H2...Ch. 40 - (II) The equilibrium distance r0 between two atoms...Ch. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - (III) (a) Apply reasoning similar to that in the...Ch. 40 - (I) Show that the quantity 2/I has units of...Ch. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 13PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - (II) Calculate the bond length for the NaCl...Ch. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 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. 44PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60PCh. 40 - Prob. 61PCh. 40 - Prob. 62GPCh. 40 - Prob. 63GPCh. 40 - Prob. 64GPCh. 40 - Prob. 65GPCh. 40 - Prob. 66GPCh. 40 - Prob. 67GPCh. 40 - Prob. 68GPCh. 40 - Prob. 69GPCh. 40 - Prob. 70GPCh. 40 - Prob. 71GPCh. 40 - Prob. 72GPCh. 40 - Prob. 73GPCh. 40 - Prob. 74GPCh. 40 - Prob. 75GPCh. 40 - Prob. 76GPCh. 40 - Prob. 77GPCh. 40 - Prob. 78GPCh. 40 - Prob. 79GPCh. 40 - Prob. 80GPCh. 40 - Prob. 81GPCh. 40 - Prob. 82GPCh. 40 - Prob. 83GPCh. 40 - Prob. 84GPCh. 40 - Prob. 85GPCh. 40 - Prob. 86GPCh. 40 - Prob. 87GPCh. 40 - Prob. 88GPCh. 40 - Prob. 89GP
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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_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_forwardThe Fermi energies of two metals X and Y are 5 eV and 7eV and their Debye temperatures are 170 K and 340 K , respectively. The molar specific heats of these metals volume at low temperatures be written as at constant can (C, )x =rxT + AxT' and (C, ), =7yT+ A,T³ where y and A are constants. Assuming that the thermal effective mass of the electrons in the two metals are same, which of the following is correct? 7 Ax = 8 (b) Y x 7 Ax 1 (a) = - = - 5'Ay 5' A, 8. Y Y x 5 Аx 1 Y x 5 Аx (c) (d) = 8 = - 7' Ay 7' Ay 8. II IIarrow_forward
- (a) Show that the ideal gas law can be written as( PV =2NE-/ 3) where N is the number of particles in the sampleand E- is the mean energy. (b) Use the result of (a) to estimate the pressure of the conduction electrons in copper, assuming an ideal Fermi electron gas. Comment on the numerical result, noting that 1 atm = 1.01 x 105 Pa.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_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_forward10-18. 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_forwardJA 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). %3Darrow_forward
- Assume that Sodium is a monovalent free-electron metal and has a body-centric cubic structure. (i) Answer in eV. If the cubic cell side of sodium is 0.4225 nm, calculate its Fermi energy. (ii) Calculate the electrical resistivity of sodium at room temperature (assume a mean-free electron path equal to the inter-atomic separation) and tell why this does not explain the measured conductivity. (iii) If the actual resistivity of a sample of sodium at room temperature is 5x10 n cm, estimate its expected thermal conductivity, stating any assumptions you are making.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_forward2. (a) A molecule in thermal equilibrium at temperature Thas 4 accessible states, with energies E, = -e, E2 = E3 = 0 and E, = e. (i) What is the partition function for this molecule? (ii) What is its internal energy? (b) Consider a gas of N fermions. At T = 0, what does the Fermi momentum represent? Consider the occupation number for state i, (ni). In the limit (i) (ii) of T → 0, what are the possible values (n;) can take? Explain your answer in terms of the relative values of the energy of the state and the chemical potential.arrow_forward
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