Plot the shapes of the optical and acoustic branches in the dispersion relation for four different ratios
Question:
Plot the shapes of the optical and acoustic branches in the dispersion relation for four different ratios of masses:
and 1. Show that, in the case of two identical atoms, there is actually only one acoustic branch and no optical branch for the dispersion relation.
Transcribed Image Text:
10, 5, 2, M2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 25% (4 reviews)
The question refers to the dispersion relation of phonons in a diatomic linear chain which is a model considering two types of atoms with different masses alternating in a onedimensional array This mo...View the full answer
Answered By
Rukhsar Ansari
I am professional Chartered accountant and hold Master degree in commerce. Number crunching is my favorite thing. I have teaching experience of various subjects both online and offline. I am online tutor on various online platform.
5.00+
4+ Reviews
17+ Question Solved
Related Book For
Question Posted:
Students also viewed these Engineering questions
-
Show that for the case of two samples, the Kruskal-Wallis test is equivalent to the Wilcoxon rank-sum test. This can be done by showing that for the case of two samples, the test statistic H equals...
-
Two identical atoms in a diatomic molecule vibrate as harmonic oscillators. However, their center of mass, midway between 1hem, remains at rest. (a) Show that at any instant, the moment of the atoms...
-
Four identical light bulbs are placed in two different circuits with identical batteries. Bulbs A and B are connected in series with the battery. Bulbs C and D are connected in parallel across the...
-
Two forces are acting on the 5 kg object, with only one of them shown in Fig. 1. Knowing that F = 20 N, 0 = 30 and that the object is moving at a constant acceleration of a = 12 m/s, find the second...
-
Management applies accounting standards in the preparation of financial statements, and auditors assess the fair application of those accounting standards. The current trend is to use fair value for...
-
Assign each group member a different interstitial alloy from Table 25.3. Each group member should look up a few interesting facts for his or her alloy, including how it is used. Present findings,...
-
How does carbon enter the biotic world? How is it returned to the abiotic world by organisms?
-
An annual report of Crestwood Industries states, The company and its subsidiaries have long term leases expiring on various dates after December 31, 2010. Amounts payable under such commitments,...
-
) A fluid of density and viscosity is falling under gravity from two vertical parallel plates separated by a horizontal distance h. The left plate is moving upward with velocity u1, but right plate...
-
Salomon Marketing, Incorporated, a marketing company, reported sales of $1,555,500 and cost of sales of $1,025,100 for December. The company's total variable selling expense was $96,900; your total...
-
In your own words, describe the meaning of heat capacity. How is heat capacity related to specific heat?
-
Starting from the expression of the total energy carried by the lattice vibrations in Eq. (6.60), show that the heat capacity C v = (dE/dT) v can be written as: T C, = 9Nk, Op (et 1)2
-
A positron with kinetic energy T = 750 keV strikes a stationary free electron. As a result of annihilation, two gamma quanta with equal energies appear. Find the angle of divergence between them.
-
In an endowment economy that there is no capital accumulation and no gorvernment spending, why is aggrelate consumption equal to aggrelate output. Explain it using the two period consumption model
-
A rock is launched from a 150m tall building, with an initial velocity of 20ms, 25 degrees above horizontal; u = 20 m/s 2501 h = 150 m a) How high above the building does the ball travel? b) What is...
-
unions' current strongholds are in decline given the significant restructuring of the Canadian economy. Do you feel that this signals the end of labour unions? Why or why not?
-
In 2011, Maria Hill purchased 20 shares of stock for $25,000. On January 30, 2019, Marie Hill sold her son the stock for $20,000. On July 1, 2019, her son sold the stock to Julius Dell, an unrelated...
-
A light signal is sent from the origin of a system K at t = 0 to the point x = 5 m, y = 8 m, z = 7 m. (a) At what time t (in s) is the signal received? 0.000000039 S (b) Find (x', y', z', t') for the...
-
Let be an eigenvalue of an n x n matrix A. and let x be an eigenveclor belonging to . Show that e is an eigenvalue of eA and x is an eigenvector of eA belonging to e.
-
2.) Find the Laplace transform of f(t) 7e-St cos 2t +9 sinh2 2t. Use Laplace Table. %3D
-
Include activity coefficients from the Davies equation to find the pH and concentrations of species in the mixture of sodium tartrate, pyridinium chloride, and KOH in Section 12-1. Consider only...
-
(a) Using the ion-pair equilibrium constant from Appendix J, with activity coefficients = 1, find the concentrations of species in 0.025 M MgSO 4 . Hydrolysis of the cation and anion near neutral pH...
-
(a) Find the concentrations of species in saturated CaF 2 as a function of pH by using Reactions 12-32 through 12-36 and adding the following reaction: Do not include activity coefficients. Produce a...
-
It is important to measure customer satisfaction frequently, i.e. every month. Do you agree/disagree with this statement. What empirical evidence would you use to support your answer? If a manager...
-
What would be an effective hedge ? A U.S. firm holds an asset in Great Britain and faces the following scenario: Probability Spot rate State 1 25% $ 2.20/ State 2 50% $ 2.00/ State 3 25% $ 1.80/E P'...
-
Poor communication will lead to demotivated staff and a lack of overall direction for the organization. Discuss.
Study smarter with the SolutionInn App