General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Question
Chapter 26, Problem 26E
(a)
To determine
The reduced mass of the
(b)
To determine
The characteristic vibrational frequency of the
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Check out a sample textbook solutionStudents have asked these similar questions
3. (a) One way of treating the vibrational modes of a linear diatomic solid is to assume
that the atoms have the same masses, but the springs on either side of an atom have
spring constants K and G, respectively. Show that the dispersion relation of such a lattice
is given by
(K+G`
+G)' - 4KGsin ka
M
where M is the mass of the ion, G and K the lattice constants, a is the periodic distance
between masses and k the lattice wave vector.
(i)
(ii)
Sketch the dispersion relation
Discuss what happens when K = G and K >> G.
(b) In diatomic (linear) lattice, why do we assume same o and k.
Air is 21% oxygen. You measure the total translational kinetic energy of the molecules of oxygen in a container to be 75J at room temperature, what is the total vibrational energy of these molecules were they at a higher temperature?
Consider an isolated carbon atom being held in its equilibrium lattice site position by the mutual
interaction with the neighboring atoms. If the spring constant driving the carbon atom back into its
equilibrium lattice site is 21.71 N/m, what is the frequency of oscillation? The atomic mass of
carbon is given in the periodic table. Give your answers in units of 1012 rad/s with 2 digits
precision, rounding off to two decimal places, i.e. the nearest hundredths. (time budget 6min)
Chapter 26 Solutions
General Physics, 2nd Edition
Ch. 26 - Prob. 1RQCh. 26 - Prob. 2RQCh. 26 - Prob. 3RQCh. 26 - Prob. 4RQCh. 26 - Prob. 5RQCh. 26 - Prob. 6RQCh. 26 - Prob. 7RQCh. 26 - Prob. 1ECh. 26 - Prob. 2ECh. 26 - Prob. 3E
Ch. 26 - Prob. 4ECh. 26 - Prob. 5ECh. 26 - Prob. 6ECh. 26 - Prob. 7ECh. 26 - Prob. 8ECh. 26 - Prob. 9ECh. 26 - Prob. 10ECh. 26 - Prob. 11ECh. 26 - Prob. 12ECh. 26 - Prob. 13ECh. 26 - Prob. 14ECh. 26 - Prob. 15ECh. 26 - Prob. 16ECh. 26 - Prob. 17ECh. 26 - Prob. 18ECh. 26 - Prob. 19ECh. 26 - Prob. 20ECh. 26 - Prob. 21ECh. 26 - Prob. 22ECh. 26 - Prob. 23ECh. 26 - Prob. 24ECh. 26 - Prob. 25ECh. 26 - Prob. 26ECh. 26 - Prob. 27ECh. 26 - Prob. 28ECh. 26 - Prob. 29ECh. 26 - Prob. 30ECh. 26 - Prob. 31ECh. 26 - Prob. 32ECh. 26 - Prob. 33ECh. 26 - Prob. 34E
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- When a hypothetical diatomic molecule having atoms 0.8890 nm apart undergoes a rotational transition from the l= 2 state to the next lower state, it gives up a photon having energy 8.850 * 10-* eV. When the molecule undergoes a vibrational transition from one energy state to the next lower energy state, it gives up 0.2540 eV. Find the force constant of this molecule. O k'=30.22 N/m k=31.05 N/m k'=20.22 N/m k'=31.55 N/m k' =29.55 N/marrow_forwardconstant = 1. If 1 × 1015 boron atoms per cm³ are uniformly added to silicon (diamond structure, lattice 0.543 nm) as a substitutional impurity, determine what percentage of the silicon atoms are displaced in the single crystal lattice, i.e., the concentration of boron as an impurity in silicon.arrow_forwardThe parameters o and & in Lennard-Jones potential in Argon (Ar) crystals are o = 3.40 x 10-10 m and ɛ = 1.67 x 10-21 J. The lattice sums for the BCC (body-centered cubic) structures are E C" Pī12 = 9.11418, ECC Pī = 12.2533, and the lattice sums for the FCC structures are 2CC Pī12 = potential, calculate the equilibrium separation and cohesive energies (in unit of electron voltage or eV) for BCC and FCC configurations. -6 %3| 12.13188, ECC Pi = 14.45392. Using the Lennard-Jones %3Darrow_forward
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