Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 40, Problem 38P
To determine
Prove that the probability for the state at the Fermi energy is being occupied is exactly
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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
1012
(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.
(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-
Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics
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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- (4) Find the Fermi energy of lithium Er, the Fermi temperature TF, and the speed of wF of the fastest free electrons.arrow_forwardAt T = 300 K, how far above the Fermi energy is a state forwhich the probability of occupation by a conduction electron is 0.10?arrow_forward1) An abrupt Si p-n" junction of cross sectional area 10 cm' is operated at 300K and has the following properties: p-side: N. = 10" cm ', T, = 10 us; n-side: N, » N,. a) Calculate the built-in potential. Hint: use half the band gap energy for the Fermi level shift for the n-side. b) Calculate the junction width at a reverse bias of 20 V. c) Calculate the peak electric field at a reverse bias of 20 V. d) Calculate the junction capacitance at a reverse bias of 20 V. e) Calculate the excess electron concentration on the p-side of the depletion zone An = npo (ext – 1) at a forward bias of 0.7643 V. ) Calculate the stored electron charge due to the electron diffusion current on the p side of the junction at the forward bias of part e (forward current 20 mA). The calculation of part (f) can be done by integrating the minority charge density on the p-side, Q = -qA S" An e-x/hn dx.arrow_forward
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- a) What is the probability of an electron state being filled if it is located at the Fermilevel?(b) If the probability that a state being filled at the conduction band edge (Ec) isprecisely equal to the probability that a state is empty at the valence band edge(Ev), where is the Fermi level located?(c) The Maxwell–Boltzmann distribution is often used to approximate the Fermi-Dirac distribution function. On the same set of axes, sketch both distributionsas a function of (E – E F)/kT. Consider only positive values of E – EF . For whatrange of (E – EF)/kT is the Maxwell–Boltzmann approximation accurate towithin 10%?arrow_forward6) a) Write down a relation giving the number of electrons occupying the energy states between the energy interval de at ɛ. b) What is the probability that a state 0.1 eV above the Fermi level is occupied by an electron at room temperature ? What is the same probability if that state is 1 eV above the Fermi level ? c) What is a magnetic moment ? The neutron is a neutral particle, but it has a magnetic moment. Explain why it is so.arrow_forwardAnswer question in handwritingarrow_forward
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