Operations And Supply Chain Management Assignment Help –

Operations And Supply Chain Management Assignment Help –

Question – Soft phonon mode consider a line of ions of equal mass but alternating in charge, with ep = e(–1)p as
the charge on the pth ion the inter atomic potential is the sum of two contributions (1) a short-range
interaction of force constant C1R = ? that acts between nearest neighbors only, and (2) a coulomb
interaction between all ions.
(a) Show that the contribution of the coulomb interaction to the atomic force constants is CpC = 2(–
1)p e2/p3 a3, where a is the equilibrium nearest-neighbor distance.
(b) From (16a) show that the dispersion relation may be written as where w20 = 4?/M and s = e2/?a3.
(c) Show that w2 is negative (unstable mode) at the zone boundary Ka = p if s > 0.475 or 4/7? (3),
where ? is a Riemann zeta …Read Morefunction. Show further that the speed of sound at small Ka is imaginary if s
> (2 In 2)–1 = 0.721. Thus w2 goes to zero and the lattice is unstable for some value of Ka in the
interval (0, p) if 0,475 < s=""> …Read Less


Are you overwhelmed by your class schedule and need help completing this assignment? You deserve the best professional and plagiarism-free writing services. Allow us to take the weight off your shoulders by clicking this button.

Get help

Who Will Write your Paper

Writer avatar
Tutor_Charles

Rating: 4.9/5    Reviews 377

Success rate 99%

Completed projects: 545

I am an experienced writer offering professional services across diverse fields. I provide quality work with strict adherence to the deadline.

Writer avatar
Tutor_Dr. Edith

Rating: 4.8/5    Reviews 381

Success rate 96%

Completed projects: 490

I am an experienced writer with great research and analytical skills. Original quality paper and on-time delivery are guaranteed. Let's do this!

Writer avatar
Tutor_Dr.Judy

Rating: 4.7/5    Reviews 316

Success rate 100%

Completed projects: 398

I am a professional writer with more than 8 years of experience. My mission is to provide you with high-quality paper in a timely fashion.

Writer avatar
Tutor_Ian

Rating: 4.8/5    Reviews 371

Success rate 97%

Completed projects: 432

Hi, I deliver quality papers on time following all the instructions provided. Client's satisfaction is my priority. Welcome for plagiarism-free papers.

Writer avatar
Tutor_Prof. Allan

Rating: 4.8/5    Reviews 400

Success rate 98%

Completed projects: 487

With over half a decade of academic experience, I'm committed both to efficiency and punctuality. If it's quality you're looking for, then I'm here to provide!

Writer avatar
Tutor_Prof. Gabie

Rating: 4.9/5    Reviews 447

Success rate 99%

Completed projects: 546

A quality-driven, skilled writer with over 5 years of experience in various disciplines. I deliver plagiarism-free papers and content of impeccable quality, always original and always before the deadline!

Writer avatar
Tutor_Sarah

Rating: 4.9/5    Reviews 427

Success rate 97%

Completed projects: 567

I have been a full-time freelance researcher and writer for a period of over 6 years. I have successfully completed over 1000 projects and assignments. I have had a good professional relationship with my clients. Try me today!

Writer avatar
Tutor_Stella

Rating: 4.9/5    Reviews 305

Success rate 97%

Completed projects: 404

I am a proficient writer with knowledge across a wide range of academic disciplines. I guarantee quality, timely and original content.

Writer avatar
Tutor_SylviaYoung

Rating: /5    Reviews 419

Success rate 98%

Completed projects: 506

Hi, count on me to deliver quality and exemplary papers. I will pay attention to all your instructions, and meet all your expectations.