University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 9, Problem 10CQ
Describe the difference between a face-centered cubic structure (FCC) and a body-centered cubic structure (BCC).
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In solid KCI the smallest distance between the centers of a. potassium ion and a chloride ion is 314 pm. Calculate the length of the edge of the unit cell and the density of KCI, assuming it has the same structure as sodium chloride.
Hcp structure . Show that the c/a ratio for an ideal hexagonal close- packed structure is (8/3)^1/2 = 1.633 . if c/a is significantly larger than this value , the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked.
The interplanar spacing of (220) planes of a FCC structure is 1.7458 Å. Calculate the lattice constant.
a) 4.983 Å
b) 2.458 Å
c) 0
d) 5.125 Å
Chapter 9 Solutions
University Physics Volume 3
Ch. 9 - Check Your Understanding Why is the potential...Ch. 9 - Check Your Understanding What does the energy...Ch. 9 - Check Your Understanding If the dissociation...Ch. 9 - Check Your Understanding What happens to the...Ch. 9 - Check Your Understanding How does the magnitude of...Ch. 9 - Check Your Understanding What conditions are...Ch. 9 - What is the main difference between an ionic bond,...Ch. 9 - For the following cases, what type of bonding...Ch. 9 - Describe three steps to ionic bonding.Ch. 9 - What prevents a positive and negative ion from...
Ch. 9 - For the H2 molecule, why must the spins the...Ch. 9 - Does the absorption spectrum of the diatomic...Ch. 9 - Rank the energy spacing (E) of the following...Ch. 9 - Explain key features of a vibrational-rotation...Ch. 9 - Why is tbe equilibrium separation distance between...Ch. 9 - Describe the difference between a face-centered...Ch. 9 - In sodium chloride, how many Clatoms are “nearest...Ch. 9 - In cesium iodide, how many Clatoms are "nearest...Ch. 9 - The NaCl crystal structure is FCC. The equilibrium...Ch. 9 - Why does the Fermi energy (EF) increase with the...Ch. 9 - If the election number density (N/V) of a metal...Ch. 9 - Why does the horizontal Line in the graph in...Ch. 9 - Why does the graph in Figure 9.12 increase...Ch. 9 - Why are the sharp transitions at the Fermi energy...Ch. 9 - What are the two main approaches used to determine...Ch. 9 - Describe two features of energy levels for an...Ch. 9 - How does the number of energy levels in a band...Ch. 9 - Why are some materials very good conductors and...Ch. 9 - Why are some materials semiconductors?Ch. 9 - Why does the resistance of a semiconductor...Ch. 9 - What kind of semiconductor is produced if...Ch. 9 - What kind of semiconductor is produced if silicon...Ch. 9 - What is the Hall effect and what is it used for?Ch. 9 - For an n-type semiconductor, how do impurity atoms...Ch. 9 - For a p-type semiconductor, how do impurity atoms...Ch. 9 - When p- and n-type materials are joined, why is a...Ch. 9 - When p- and n-type materials are joined, why does...Ch. 9 - How do you know if a diode is in the forward...Ch. 9 - Why does the reverse bias configuration lead to a...Ch. 9 - What happens in the extreme case that where the n-...Ch. 9 - Explain how an audio amplifier works, using the...Ch. 9 - Describe two main features of a superconductor.Ch. 9 - How does BCS theory explain superconductivity?Ch. 9 - What is the Meissner effect?Ch. 9 - What impact does an increasing magnetic field have...Ch. 9 - The electron configuration of carbon is 1s22s22p2....Ch. 9 - Potassium chloride (KCl) is a molecule formed by...Ch. 9 - The electron affinity of Cl is 3.89 eV and the...Ch. 9 - The measured energy dissociated energy of KC1 is...Ch. 9 - In a physics lab, you measure the vibrational-...Ch. 9 - For the preceding problem, find the equilibrium...Ch. 9 - The separation between oxygen atoms in an O2...Ch. 9 - The characteristic energy of the N2 molecule is...Ch. 9 - The characteristic energy for KCl is 1.4105eV ....Ch. 9 - A diatomic F2 molecule is in the l = 1 state, (a)...Ch. 9 - In a physics lab, you measure the vibrational-...Ch. 9 - The Csl crystal structure is BCC. The equilibrium...Ch. 9 - The potential energy of a crystal is - 8.10 eV/ion...Ch. 9 - The measured density of a NaF crystal is 2.558...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - Determine the dissociation energy of 12 moles of...Ch. 9 - The measured density of a KCl crystal is 1.984...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - The measured density of a CsCl crystal is 3.988...Ch. 9 - What is the difference in energy between the...Ch. 9 - An electron is confined to a metal cube of I = 0.8...Ch. 9 - What value of energy corresponds to a density of...Ch. 9 - Compare the density of states at 2.5 eV and 0.25...Ch. 9 - Consider a cube of copper with edges 1.50 mm long....Ch. 9 - If there is one free electron per atom of copper,...Ch. 9 - Determine the Fermi energy and temperature for...Ch. 9 - For a one-dimensional crystal, write the lattice...Ch. 9 - What is the main difference between an insulator...Ch. 9 - What is the longest wavelength for a photon that...Ch. 9 - A valence electron in a crystal absorbs a photon...Ch. 9 - An experiment is performed to demonstrate the Hall...Ch. 9 - Suppose that the cross-sectional area of the strip...Ch. 9 - A current-carrying copper wire with cross-section...Ch. 9 - The Hall effect is demonstrated in the laboratory....Ch. 9 - Show that for V less than zero, InetI0.Ch. 9 - A p-n diode has a reverse saturation current...Ch. 9 - The collector current of a transistor is 3.4 A for...Ch. 9 - Applying the positive end of a battery to the...Ch. 9 - The base current of a transistor is 4.4 A, and its...Ch. 9 - At what temperature, in terms of Tc, is the...Ch. 9 - What is the critical magnetic field for lead at T...Ch. 9 - A Pb wire wound in a tight solenoid of diameter of...Ch. 9 - A tightly wound solenoid at 4.0 K is 50 cm long...Ch. 9 - Potassium fluoride (KF) is a molecule formed by...Ch. 9 - For the preceding problem, sketch the potential...Ch. 9 - The separation between hydrogen atoms in a H2...Ch. 9 - The characteristic energy of the Cl2 molecule is...Ch. 9 - Determine the lowest three rotational energy...Ch. 9 - A carbon atom can hybridize in the...Ch. 9 - List five main characteristics of ionic crystals...Ch. 9 - Why is bonding in favorable? Express your answer...Ch. 9 - Astronomers claim to find evidence of He2 from...Ch. 9 - Show that the moment of inertia of a diatomic...Ch. 9 - Show that the average energy of an electron in a...Ch. 9 - Measurements of a superconductor's critical...Ch. 9 - Estimate the fraction of Si atoms that must be...Ch. 9 - Transition in the rotation spectrum are observed...Ch. 9 - Determine the Fermi energies for (a) Mg, (b) Na,...Ch. 9 - Find the average energy of an electron in a Zn...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - A physical model of a diamond suggests packing...Ch. 9 - For an electron in a three-dimensional metal, show...
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- Hcp structure. Show that the c/a ratio for an ideal hexagonal closed-packed structure is () = 1.633. If c/a is significantly larger than this value, the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked.arrow_forwardBody-centered cubic structure. (a) Show that for BCC the lattice length a in terms of the atomic radius is 4R/√3. (b) Calculate the volume of a BCC unit cell in terms of the atomic radius R. (c) Show that the atomic packing factor for the BCC crystal structure is 0.68.arrow_forwardHcp structure. Show that the cla ratio for an ideal hexagonal close-packed strue- ture is 2 = 1.633. If cla is significantly larger than this value, the crystal structure be thought of as composed of planes of closely packed atoms, the planes being loosely stacked. %3D mayarrow_forward
- Consider a three-dimensional crystalline lattice formed of Cu and Zn atoms. The Cu atoms form a simple cubic lattice with the lattice constant a. The Zn atoms are at the center of the cube. a) Write down the structure factor S, associated with the reciprocal lattice vector G = vib1 + vzb2 + v3b3 in terms of the atomic form factors f and f, b) If Cu and Zn atoms randomly occupy every lattice site, then the form factor associated with every lattice site can be assumed to be the same, namely the average of the two form factors. Which Bragg spots will vanish in this case?arrow_forwardConstruct the electron density along the x-axis of a crystal given the following structure factors:h 0 1 2 3 4 5 6 7 8 9Fh +30.0 +8.2 +6.5 +4.1 +5.5 -2.4 +5.4 +3.2 -1.0 + 1.1h 10 11 12 13 14 15Fh +6.5 +5.2 -4.3 -1.2 +0.1 +2.1arrow_forwardQuestion A2 The body-centred cubic structure is common among metals. a) How many nearest neighbours has each atom in this structure? Give the nearest-neighbour distance in terms of the unit cell parameter a. b) How many second-nearest neighbours has each atom in this structure? Give the second- nearest-neighbour distance in terms of the unit cell parameter a. c) How many third-nearest neighbours has each atom in this structure? Give the third-nearest- neighbour distance in terms of the unit cell parameter a.arrow_forward
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