Question: Show that two orthogonal 2 - fold rotation axes parallel to [ 1 0 0 ] and [ 0 1 0 ] that intersect at

Show that two orthogonal 2-fold rotation axes parallel to [100] and [010] that intersect at the origin of the unit cell will generate a third 2-fold rotation axis parallel to [001] which also passes through the origin. Compare this with the case where the 2-fold rotation parallel to [010] passes through the point 0,0,14. List the general coordinates for both cases.
Show that two orthogonal 2-fold rotation axes parallel to [100] and

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!

Q:

Problem 8 please 102 CHAPTER 1 . FUNCTIONS OF SEVERAL VARIABLES SECTION 1.9 EXERCISES Review Questions 25-34. Applications of Lagrange multipliers Use Lagrange multipli- 1. Explain why, at a point...

Q:

6.2 Write on paper please Questions : 1,3, 5, 7, 9 Exercise Set 6.2 In Exercises 1-2, find the cosine of the angle between the vectors with In Exercises 9-10, show that the vectors are orthogonal...

Q:

Chapter Thirteen A FUNDAMENTAL TOOL: VECTORS Contents 13.1 Displacement Vectors . . . . . . . . . . . . 686 Notation and Terminology . . . . . . 686 Addition and Subtraction of Displacement Vectors ....

Q:

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Q:

\fThecoordinatesoftheverticesofapolygonare(5, 1)(1, 3)(2, 3)(2, 2).and (3, 1). What is the perimeter of the polygon? Enter your answer as a decimal. rounded to the nearest tenth of a unit. in the...

Q:

Exercises for Seetlon 13.2 Plot the points in Exercises 14. I. (1,0,0) 3. (3, 71,5) 2. (0,2,4) 4. (2, l,1l) Complete the computations in Exercises 58. 5. (6, 0, 5) + (5, 0,6) '- 6. (0,0,0) + (0, 0....

Q:

THE UNIVERSITY OF NEW SOUTH WALES SCHOOL OF MATHEMATICS AND STATISTICS JUNE 2015 MATH2501 Linear Algebra (1) TIME ALLOWED - THREE HOURS. (2) TOTAL NUMBER OF QUESTIONS - 5 (3) ANSWER ALL QUESTIONS (4)...

Q:

Part 1: Boosts and rapidity For this part, we will need the definitions of the hyperbolic trig functions, sinh (pronounced "sinsh"), cosh (pronounced like it sounds), and tanh (pronounced "tansh"):...

Q:

MATLAB 0 1 0 Exercise 1. [50 points.] A rotation matrix is a fundamental tool used to rotate objects in 3D space, with numerous applications ranging from robotics, aerospace, and computer graphics....

Q:

1. 3 2 Consider the function f(x) = x - 3x - 9x + 10, x (a) . Find the equation of the straight line passing through the maximum and minimum points of the graph y = f(x). (4) (b) Show that the point...

Q:

On February 4, 2018, Jackie purchased and placed in service a car she purchased for $21,000. The car was used exclusively for her business. Compute Jackies cost recovery deduction in 2018 assuming no...

Q:

The following table summarizes the average annual return and the standard deviation of returns for several types of securities over the past 75 years. Assume annual returns in each case are...

Q:

How to calculate the value of an exchange in another currency?

Q:

Assume the relation R over the set {0,1,2,3,4,5,6,7,8,9} obtained by combining adjacent (neighboring) digit pairs of your ID, keeping the same order of digits. For example, if my ID is 12345678, then...

Q:

5. Define ethics, explain the difference between an ethical dilemma and an ethical lapse, and list six guidelines for making ethical communication choices.

Q:

2. Explain what it means to communicate as a professional in a business context.

Q:

1. Define communication and explain the importance of effective business communication.