Show that for a monatomic crystal (m=M) the linear chain model predicts that the acoustic branch and

Question:

Show that for a monatomic crystal $m=M$ the linear chain model predicts that the acoustic branch and the optical branch give the same value of $\omega$ at $q=q_{\max }$.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

An Introduction To Groups And Their Matrices For Science Students

ISBN: 9781108831086

1st Edition

Authors: Robert Kolenkow

See More Books

Question Posted: Mar 16, 2024 04:00 AM

See More Questions

Developments in Technology Light is incident from air on the end face of a multimode optical fibre at angle of incidence as shown below. n n 1 2 The refractive indices of the core and cladding are...
PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...
Design a Java class that represents a cache with a fixed size. It should support operations like add, retrieve, and remove, and it should evict the least recently used item when it reaches capacity.
Give the decoding key for the encoding keys in Problems 2536. Minus 4, divide by 2.
Would the viewer perceive depth if the images being projected in Figure 29.40 were identical?
The lug nut on the wheel of the automobile is to be removed using the wrench and applying the vertical force F at A. Determine if this force is adequate, provided a torque M about the x axis is...
What is the plain-meaning rule?
Entrepreneurs Consultants, a state agency, was established to provide consulting services to small businesses. It maintains only a single general fund and accounts for its activities on a modied...
List the four main data definition language keywords and explain them with examples?
A sound wave is propagating along a linear diatomic chain $(M>n)$. (a) Calculate its maximum possible frequency. (b) What is the speed (phase velocity) of the sound wave traveling with its maximum...
The table gives the basis functions for the group $\mathbf{6 2 2}$. What are the gerade (+) and ungerade (-) irreducible representations of the group \(6 / \mathbf{m m m}=\mathbf{6 2 2} \otimes...
The rate of growth of a fish population was modeled by the equation where t is measured in years and G in kilograms per year. If the biomass was 25,000 kg in the year 2000, what is the predicted...
A cloth manufacturer produces two types of cloth, A and B. His profit function is: Profit = 128A -4A2 + 8AB +64B -28 8B2 What should be the level of output of A and B to maximize profit?
What is a solution to inequity in the workplace that is more effective than current solutions?
Outline some of the reasons that strategic plans and strategic planning processes success. What steps can organizational leaders, including Project Managers, take to ensure the success of...
(a) Uly paper clip dispensers are produced with a fixed cost of $10,000 and a constant marginal cost of $6. If the demand for these dispensers has a price elasticity of -1.5, what is the...
Explain fully the concept of Twin Deficits and use this concept to explain why the cause of the US trade deficit with China is largely due to American wars across the globe.
Represent the position vector r acting from point A (a, b, c) to point B (d, e, f) in Cartesian vector form. Determine its coordinate direction angles and find the distance between points A and B....
Refrigerant-134a enters an adiabatic compressor as saturated vapor at 120 kPa at a rate of 0.3 m3/min and exits at 1-MPa pressure. If the isentropic efficiency of the compressor is 80 percent,...
A borrower has two alternatives for a loan: (1) Issue a $120,000, 90-day, 6% note or (2) Issue a $120,000, 90-day note that the creditor discounts at 6%. a. Calculate the amount of the interest...
A firms balance sheet contains $320 of cash, $2,000 of fixed assets, $1,380 of accounts receivable, $780 of accounts payable, $500 of inventory, and $1,000 on a revolving line of credit. Assuming...
The following information pertains to Wise Corp. at January 1, 2013: Common stock , $10 par, 50,000 shares authorized, 3,000 shares issued and outstanding .......... $30,000 Paid-in capital in excess...
The expert on behalf of the shareholders used the 2% growth rate. Think about the growing perpetuity formula used in a terminal value: Growing Perpetuity Formula A higher terminal growth rate will...
At an annual effective interest rate of i, i > 0, the present value of a perpetuity of 16 at the end of each 5-year period, with the first payment at the end of year 10, is 20.37. At the same annual...
The Island Tourist Company, Inc. just paid a dividend of $2.25 per share, and that dividend is expected to grow at a constant rate of 3.50% per year in the future. The company's required rate of...

Show that for a monatomic crystal (m=M) the linear chain model predicts that the acoustic branch and

Question:

Step by Step Answer:

An Introduction To Groups And Their Matrices For Science Students

Students also viewed these Business questions