Inter planar separation consider a plane hkl in a crystal lattice. (a) Prove that the reciprocal lattice
Question:
Inter planar separation consider a plane hkl in a crystal lattice.
(a) Prove that the reciprocal lattice vector G = hb1 + kb3 is perpendicular to this plane.
(b) Prove that the distance between two adjacent parallel planes of the lattice is d(hkl) = 2π/|G|.
(c) Show for a simple cubic lattice that d2 = a2 /(h2 + k2 + l2).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (14 reviews)
The crystal plane with Miller indices hk is a plane defined by the points ah ak and a3 ...View the full answer
Answered By
Pushpinder Singh
Currently, I am PhD scholar with Indian Statistical problem, working in applied statistics and real life data problems. I have done several projects in Statistics especially Time Series data analysis, Regression Techniques.
I am Master in Statistics from Indian Institute of Technology, Kanpur.
I have been teaching students for various University entrance exams and passing grades in Graduation and Post-Graduation.I have expertise in solving problems in Statistics for more than 2 years now.I am a subject expert in Statistics with Assignmentpedia.com.
4.40+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Solid State questions
-
Prove that the distance between parallel planes with equations n x = d1 and n x = d2 is given by |d1 - d2| / ||n||.
-
Consider a simple cubic crystal that consists of N primitive unit cells. Using the concept of Bloch function and the periodic boundary conditions in the crystal lattice, show that the number of...
-
Show that every planar graph G can be colored using five or fewer colors
-
3. Show how accounts receivable will appear on the December 31, 2023, balance sheet. Assets Current assets: Partial Balance Sheet Accounts receivable Less: Allowance for doubtful accounts 22,525
-
Explain the rationale behind the time and material pricing approach? Why is this some industries?
-
For which of the following accounts would the matching concept be the most appropriate? a. Cost of goods sold. b. Research and development. c. Depreciation expense. d. Sales.
-
Today, the 1-year U.S. interest rate is 4 percent, while the 1-year interest rate in Argentina is 17 percent. The spot rate of the Argentine peso (AP) is $.44. The 1-year forward rate of the AP...
-
Kase Company can invest in each of three cheese-making projects: C1, C2, and C3. Each project requires an initial investment of $190,000 and would yield the following annual cash flows. (1) Assuming...
-
Katie wants to create a rectangular frame for a picture. She has 60 inches of material. If she wants the length to be 3 more than 2 times the width, what is the largest possible length? Write an...
-
Harriets Hats is a fictional company. The following information includes the balance sheet as of December 31, 2020, and the details of the transactions that occurred during 2021. Background: Harriets...
-
Hcp structure show that the c/a ratio for an ideal hexagonal close-packed structure is (8/3) 1/2 = 1.633. If c/a is significantly larger than this value, the crystal structure may be thought of as...
-
Hexagonal space lattice the primitive translation vectors of the hexagonal space lattice may be taken as a 1 = (3 1/2 a/2)x + (a/2)y ; a 2 = (3 1/2 a/2)x + (a/2)y ; a 3 = cz (a) Show that the volume...
-
Who are the stakeholders that would be affected by James decision? Does James have a responsibility to come forward with this information? Using rule, virtue, rights, and justice theories, evaluate...
-
Explain how the matching principle influences the recording of expenses and provide an example.
-
d-1. Now you remember that the inflation rate is expected to be 10% per year for the foreseeable future. What is the equivalent annual cost of the Econo-Cool and Luxury Air model? (Do not round...
-
When you retire you want to have enough money in your retirement account to generate an annual income of $ 8 0 , 0 0 0 per year and you expect to live for 1 5 years after you retire. You wont be able...
-
Fast GrowthIndustries will pay a dividend of $1.80 per share this year. It is expected that this dividend will grow by 4% per year each year in the future. The current price ofthe company's...
-
22. An investor has $50 000 to invest. The asset allocation will be as follows Security Investment Beta Stock A $20,000 1.7 Stock B 150000 0.5 T-bill 150000 0 What is the beta of the portfolio which...
-
One type of valve is shown in Figure 10-1. Brainstorm alternative ways in which valves could be designed. Figure 10-1
-
Stephen Schor, an accountant in New York City, advised his client, Andre Romanelli, Inc., to open an account at J. P. Morgan Chase Bank, N.A., to obtain a favorable interest rate on a line of credit....
-
Sketch and identify the curve defined by the parametric equations x = t - 2t y = 1 + 1
-
Consider a system of fixed volume I thermal contact with a reservoir. Show that the mean square fluctuation in the energy of the system is ) 2 > = 2 (U/) V (89) Here U is the conventional symbol for...
-
Suppose that by a suitable external mechanical or electrical arrangement one can add to the energy of the heat reservoir whenever the reservoir passes to the system the quantum of energy e. The net...
-
In our first look at the ideal gas we considered only the translational energy of the particles. But molecules can rotate, with kinetic energy. The rotational motion is quantized: and the energy...
-
Yolanda tiene una tienda de productos de computacin, su objetivo principal es poder mantener econmicamente a su familia, pues la venta de computadoras es un buen negocio. La situacin mostrada de...
-
The income statement of Novak Co. for the month of July shows net income of 3,280 based on Service Revenue 7,750, Salaries and Wages Expense 2,920, supplies expense 930, and Utilities Expenses 620....
-
Soru -2- Aadaki ilemleri banka ve merkez bankas bilanolarnda t tablolar ile gsteriniz. 1 - Mteri A Bankasndaki senetleriyle bir araba satn alyor. 2 - A Bankas B Bankasndan FED Fonlarn bor alyor. ki...
Study smarter with the SolutionInn App