Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 37, Problem 20P
To determine
The potential energy of attraction, comparison of potential energy of attraction to the dissociation energy and the energy due to repulsion of the ions at the equilibrium separation.
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Students have asked these similar questions
For a K*- CH ion pair, attractive and repulsive energies EA and ER, respectively, depend on
the distance between the ions r, according to
5.8 x 10-6
1.436
EA
and ER
For these expressions, energies are expressed in electron volts per K*- CH pair, and r is the
distance in nanometers.
a) If the net energy EN is just the sum of the two expressions above: EN = E, + ER, Find the
values of ro and E, ?
b) If curves of E, ER, and EN are
plotted in given figure, compare
the calculated values of ro and
E, with that from the graph.
2 am
0.00
010
0.20
0.30
040
0.70
00
1.00
Interatomic Separation, nm
Bonding Energy, eV
Question A10
Consider a Si dopant atom in n-doped gallium arsenide.
a) Which site (Ga or As) does the Si atom occupy? Explain your answer.
b) Use the Bohr model of hydrogen to estimate the binding energy and orbit radius of an electron
bound to this atom. Comment on the magnitude of these values.
Data: Dielectric constant of GaAs: r = 12.88
Effective electron mass: m² = 0.067me
Compute the magnitude of the electrostatic attraction energy between a silver cation (radius 129 pm) and a sulfide anion (radius 170 pm). Give your answer in al.
Chapter 37 Solutions
Physics for Scientists and Engineers
Ch. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10P
Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43P
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- Compute the magnitude of the electrostatic attraction energy between a silver cation (radius 129 pm) and a sulfide anion (radius 170 pm). Give your answer in al. Note that magnitude means "absolute value" i.e. answer without arithmetic +/- sign.arrow_forwardConsider a conductor. If one of the terminals is subject to a higher potential while the other terminal to a lower potential, which of the following happens? The free electrons in the conductor will move and concentrate on the side with higher potential. The free electrons in the conductor will move and concentrate on the side with lower potential. The valence electrons will be dislodged from their parent atoms and move in random directions in the conductor. The answer cannot be found on the other choices.arrow_forwardAn electron is confined to a metal cube of l=0.8 cm on each side. Determine the density at E=0.80eV,E=2.2eVarrow_forward
- K:54)arrow_forwardhttps://www.compadre.org/PQP/applications/prob14_4.cfm The potential energy curves are shown (PE given in eV and distance is given in Bohr radii) for two diatomic molecules with the same reduced mass. What part of these curves relates to the moment of inertia and keff? Determine which molecule has the larger moment of inertia and the larger keff.arrow_forwardCalculate the electric potential energy for a K+ ion and a Br- ion separated by a distance of 0.29 nm, the equilibrium separation in the KBr molecule. Treat the ions as point charges.arrow_forward
- 1. An electron moving in a conjugated bond framework can be viewed as a particle in a box. An externally applied electric field of strength & interacts with the electron in a fashion described by the perturbation: V(r) = ee (x - 1) Where x is the position of the electron in the box, e is the electron charge, and Lis the length of the box. (a) Compute the first order correction to the energy (b) The first order correction to the wave-function (compute only the contribution to Y made by Y2)arrow_forwardThe valence election of chlorine is excited to a 3p state, (a) What is the magnitude of the election's orbital angular momentum? (b) What are possible values for the z-component of angular’ measurement?arrow_forwardThe valence election of potassium is excited to a 5d state, (a) What is the magnitude of the election's orbital angular momentum? (b) How many states are possible along a chosen direction?arrow_forward
- For the preceding problem, sketch the potential energy versus separation graph for the bonding of K+ and Fl- ions, (a) Label the graph with the energy required to transfer an electron from K to FI. (b) Label the graph with the dissociation energy.arrow_forwardAs an alternative to Equation 42.1, another useful model for the potential energy of a diatomic molecule is the Morse potential U(r)=B[ea(rr0)1]2 where B, a, and r0 are parameters used to adjust the shape of the potential and its depth. (a) What is the equilibrium separation of the nuclei? (b) What is the depth of the potential well, defined as the difference in energy between the potentials minimum value and its asymptote as r approaches infinity? (c) If is the reduced mass of the system of two nuclei and assuming the potential is nearly parabolic about the well minimum, what is the vibrational frequency of the diatomic molecule in its ground state? (d) What amount of energy needs to be supplied to the ground-state molecule to separate the two nuclei to infinity?arrow_forward3. Atomic vibrations in a metal. Consider point ions of mass M and charge e immersed in a uniform sea of conduction electrons. The ions are imagined to be in stable equilibrium when at regular lattice points. If one ion is displaced a small distance r from its equilibrium position, the restoring force is largely due to the electric charge within the sphere of radius r centered at the equilibrium position. Take the number density of ions (or of conduction electrons ) as 3/(47R³), which defines R. (a) Show that the frequency of a single ion set into oscillation is @= (e²/MR³) ¹/2. (b) Estimate the value of this frequency for sodium, roughly. (c) From (a), (b), and some common sense, estimate the order of magnitude of the velocity of sound in metal.arrow_forward
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