Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the following sets of Miller indices can represent a crystallographic plane with intercepts of (a/2) and (b/3) along the x- and y-axes respectively? a. (236) b. (621) c. (132) d. (231)

Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the following sets of Miller indices can represent a crystallographic plane with intercepts of (a/2) and (b/3) along the x- and y-axes respectively? a. (236) b. (621) c. (132) d. (231)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: (c) Vanadium (V) has a cubic structure, with lattice parameters 0.303 nm. Density: 6.19 g/cm'.…

Q: Q5. Determine the theoretical density for Ti element, which is HCP structure, atomic mass 47.867…

A: Assuming the c/a ratio is 1.633

Q: For tetragonal crystals, cite the indices of directions that are equivalent to each of the following…

A: Answer: [0 0 -1]

Q: Suppose that a particular crystal has a primitive unit cell that can be described by the following…

Q: 10. Lithium crystallizes in a bcc structure with an edge length of 3.509 Å. Calculate its density.…

Q: What are all the planes in {101} family of an orthorhombic lattice?

A: Solution:

Q: Determine the packing factor for the FCC cell. In a FCC cell, there are four lattice points per…

A: Packing factor is defined as the ratio of volume of actual number of atoms present in a unit cell to…

Q: Q2: Calculate the density of simple tetragonal zirgonium crystal structure its latticeE crystal axes…

A: Given: a=3.23 A°=3.23×10-10 mc=5.14 A°=5.14×10-10 m

Q: You will do this experiment in two parts. In the first part, you will be provided data and asked to…

A: Given: The data obtained by using the radiation wavelength of 1.54 A0.

Q: Calculate the radii of the largest void found in an FCC iron lattice in units of [pm] with a lattice…

A: Given: The edge length , a = 0.357 nm The radius of atom, r = 0.124 nm There are two types of void…

Q: 6- Precipitates are Two dimensions in nanoscale Nanoparticles O true O false 7-APF for a…

A: Solution.jpg

Q: Determine the density of BCC iron, w/c has a lattice parameter of 0.2866 nm.

Q: Density of crystal materials can be determined based on their microstructures. True or false?

A: Density is the ratio of amss and volume of object. In case of crystal structure there are different…

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 749°C. The energy for…

A: No. of vacancies per cubic meter = ?temperature = 749°cenergy formation = 0.84 eV/atomdensity = 8.18…

Q: a) Differentiate between the following crystal structures: 1) Simple cubic and simple orthorhombic…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: briefly explain how with the help of x-ray diffraction techniques, the lattice dimensions are…

A: The wavelength of X-ray is very small, they are of the order of the atomic spacing, and because of…

Q: Determine the Miller indices for the direction shown in cubic cell. Use the minus symbol to…

Q: 1- Determine miller indices of direction A, B an Can planes A, B an C in figures below,…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Explain why there is no face-centered tetragonal Bravais lattice.

A: FACE CENTERED CELL In complete unit cells, there are also atoms or ions in the middle of all six…

Q: A metal having a cubic structure has a density of 2.6 g/cm3, an atomicweight of 87.62 g/mol, and a…

A: The crystal structure is a description of the orderly organization of atoms, ions, or molecules in a…

Q: Prof that the relation between atomic radius and lattice constant for FCC is a- 4r/V3 ? Question #3/…

Q: A polypropylene specimen has a mass of 28 kg and density of 1.65x103 kgm-3 . Determine the…

Q: first Brillouin zone (BZ) and draw the first BZ boundary of one dimensional (1D) crystal lattice

A: Brillouin zone is defined as a Wigner-Seitz primitive cell in the reciprocal lattice. The first…

Q: Show your all work

A: Miller indices is a group of three numbers that indicates the orientation of a plane or set of…

Q: metal is found to have BCC structure, a lattice constant of 3.31 Å, and a density of 16.6 g/cm3 .…

A: Density=Z×Atomic weight of metalNA×Volume of unit cell For BCC Z=2n NA=Avagadros Number Volume =a3…

Q: (i) Using the defined axes as shown below, sketch the (110) crystallographic plane in a 3- dimension…

A: for solution refer below images.

Q: Suppose that a particular crystal has a primitive unit cell that can be described by the following…

A: Given dataVectorsa1 = 2ai + 2aj a2 = (−3a/2)i +( 3a/2)j a3 = −2ai − 2aj + 23akTo determine1] The…

Q: Q2) A: Draw the crystal atomic planes with following Miller indices. (110), (101), (011), (111),…

A: Miller Indices: Miller indices of planes is defined as rationalized reciprocal of fractional…

Q: 9. Make two neat sketches to show the climbing up and the climbing down of an eage dislocalion. What…

A: The motion of an edge dislocation normal to its slip plane is called climb. Diffusion methods are…

Q: Rhodium has an atomic radius of 0.1345 nm and a density of 12.41 glcm:. Determine whether it has an…

Q: a: Sketch within a cubic unit cell the following crystallographic directions: [121]. (2011. [213].…

Q: 1) Find the theoretical density of lead (P). which has a face-centered cubic lattice, with a lattice…

Q: Calculate the atomic densities of the directions [100], [111] and [110] in a face centered cubic…

Q: (c) The unit cell for Al;Os has hexagonal symmetry with lattice parameters a -0.4759 nm and c- 1.29…

A: Solution:

Q: Compare the (100) and the (200) FCC crystallographic planes. Are they the same? Compare the (111)…

A: GivenPlanes 1,0,0 (2,0,0)planes (1,1,1) (2,2,2)

Q: A metal crystallizes in the face‑centered cubic (FCC) lattice. The density of the metal is 12020…

Q: Suppose that a particular crystal has a primitive unit cell that can be described by the following…

Q: 1. A crystal has a basis of one atom per lattice point and a set of primitive translation vectors…

A: Given data: - The primitive translation vector a is a = 3i. The primitive translation vector b is…

Q: Question-2. BCC Tantalum has an atomic radius of 0.1430 nm. Answer the following questions: (a)…

Q: O Equations 7.1a and 7.1b, expressions for Burgers vectors for FCC and BCC crystal structures, are…

Q: Determine the repeat distance, linear density, and packing fraction for FCC nickel, which has a…

A: Given: Determine the repeat distance, linear density, and packing fraction for FCC nickel, which has…

Q: Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the…

A: Take reciprocals of given intercepts. If any fractions are present clear the fractions Then we get…

Q: The accompanying figure shows a unit cell for a hypothetical metal. (a) To which crystal system does…

A: According to the given information, we have the following data of unit cell in the figure we a)…

Q: 9. Equations 7.1a and 7.1b, expressions for Burgers vectors for FCC and BCC crystal structures, are…

A: For FCC,r=a22For aluminum metal,r=0.1431nma=22ra=22(0.1431)a=0.4047nmFor BCC,r=a34For chromium…

Q: Q.1. Determine the Miller-Bravais indices for the plane shown with the question mark (?) in the…

A: In hexagonal system, we use (a1,a2, a3, c) coordinate system.First we have calculated intersection…

Q: a) Calculate the lattice parameter of this unit cell; Bereken die roosterafmeting van die eenheidsel

Q: Estimate the density of platinum and lead from their lattice parameters at room temperature. Both…

Q: For BCC metal X, compute the interplanar spacing for the 212 set of planes. The lattice parameter…

Q: A/An is formed when an extra atom or ion is inserted into the crystal structure at a normally…

Concept explainers

General safety guidelines

Safety guidelines are the set of rules and codes that must be followed in the workplace for the occupational safety of workers, the machines, and the equipment that are present inside the workshop premise. There are many unsafe conditions and hazardous materials inside the workshop that makes prey for certain risk factors associated with health conditions. Extreme safety precautions must be taken inside the work area just like the precautions and practices that are been followed for Corona Virus Disease 2019 (COVID-19). People can also educate themselves by joining various health programs and camps. These will provide them with the necessary skills and knowledge about safety awareness. Occupational Safety and Health Administration (OSHA) thrives to create a safe and healthy environment for the workers working in the industries and provides them with proper education and training.

Question

Need help on this

Consider a unit cell with lattice dimensions a, b, and cin the x-, y and z directions. Which of the following sets of Miller indices can represent a
crystallographic plane with intercepts of (a/2) and (b/3) along the x- and y-axes respectively?
O a. (236)
O b. (621)
O c. (132)
O d. (231)
O O O

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Q4). Sketch the [112 2 ] plane in the outline of the hexagonal lattice below a P
Sketch the planar cross section for the following planes in the FCC structure (label the edge lengths in terms of a and R) and calculate the planar densities for the three planes (do so in terms of both atoms/nm2 AND the dimensionless quantity): a. (001)b. (011)c. (111)
Vanadium has the Body-Centered Cubic (BCC) crystal structure shown in the figure below. The radius of the Vanadium atom is r= 0.132 nm. What is the planar density in atoms/nm2 in plane (200)? Plane (200) Select one: a. 10.76 b. 21.52 C. 16.19 d. 7.61 e. 3.80
Help me please
(c) Determine the indices for the directions shown for A, B, C and D in the cubic unit cell in Figure Q1(c). +z A D +y Figure Q1(c). 1/2
(b) Draw the following direction vectors in a cubic unit cell: [212] and [101] Draw the following crystallographic planes in a cubic unit cell: (111) and (121) "oin 2/2 Page 1 of 2
6. Within a cubic unit cell, sketch the following directions: ( :)) (a) [110] (e) [771] (b) [121] (f) [722] (c) [072] (d) [133] (g) [123] (h) [103]
Q.1. Determine the Miller-Bravais indices for the plane shown with the question mark (?) in the following hexagonal unit cell. Note: Don't forget to explain and show all steps (īo10) az a3 a1 (0001)
Draw the following planes within a simple cubic unit cell: (213), (213), (213), (213), (213), (213), (213), and (213).
Sketch within a cubic unit cell the following planes: (d) (212) (e) (012) (f) (312) (g) (313) (h) (301)
1. It is often convenient to represent a fcc lattice as simple cubic, with a cubic primitive cell of side a and a four-point basis. (a) Show that the structural factor is then either 4 or 0 at all points of the simple cubic reciprocal lattice. (b) Show that when points with zero structural factor are removed, the remaining points of the reciprocal lattice makes up a bcc cubic lattice with conventional cell of side 4л/a. Why is this expected?
2. Find the indices for the directions shown in the following hexagonal unit cells. (a) (b)