(2) A hypothetical tetrahedral crystal has the following lattice parameters: B = y = 90°. Please write the indices of all planes/directions that belong to the family of (i) {100} a = b = 0.40 nm, c = 0.5 nm, a = and (ii) <001>

(2) A hypothetical tetrahedral crystal has the following lattice parameters: B = y = 90°. Please write the indices of all planes/directions that belong to the family of (i) {100} a = b = 0.40 nm, c = 0.5 nm, a = and (ii) <001>

Welding: Principles and Applications (MindTap Course List)

8th Edition

ISBN:9781305494695

Author:Larry Jeffus

Publisher:Larry Jeffus

Chapter26: Welding Metallurgy

Section: Chapter Questions

Problem 7R

See similar textbooks

Related questions

Q: The unit cell for tin (sn) has tetragonal symmetry, with a and c lattice parameters of 0.583 and…

A: Unit cell: The smallest group of atoms that defines the overall symmetry of the crystal is known as…

Q: For which set of crystallographic planes will a first-order diffraction peak occur at a diffrac-…

A: Given the first-order diffraction peak occurs at a diffraction angle of 46.21o. The first step to…

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

A: Answer: [0 0 -1]

Q: ketch the lattice planes in cubic crystal using Miller indices for (-200), (-1-20) and (302) planes

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

A: Solution:

Q: 8. In an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.254 nm, write…

A: Given data, The given lattice is hexagonal closed packed(HCP). r = Radius of the atom = 0.254 nm To…

Q: One slip system for the BCC crystal structure is {110}(111). In a manner similar to Figure 7.6b,…

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: What are the types of 0-D lattice imperfections found in crystals? Which defect will contribute to…

Q: What are the families of crystal directions and planes? What are the closest packed crystalline…

A: given; What are the families of crystal directions and planes? What are the closest packed…

Q: Determine the indices for the following crystallographic direction. Must show complete solution…

Q: Determine the Miller Indices of Direction C and D in an HCP crystal.

Q: Sketch a 3D FCC unit cell and indicate where all 12 FCC slip systems can be found.

A: The Face centered cubic (F.C.C) unit cell consists of an atom at each corner of the cell and an atom…

Q: Q1) if the crystal lattice constant is equal to (4°A), and the type of crystal structure is Face…

A: Lattice In case of cubic system there are three lattices each of which has the same collection of…

Q: A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm°, and an atomic weight of…

Q: In the' simple cubic crystal lattice'structure, specify the 'Atomic fill factor' and the 'Planar…

A: Simple cubic crystal eight atoms at the eight cornors of the cubeLattice parameter or side length of…

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 811°C. The energy for…

Q: bic crystal, draw any three (3) parallel planes and determine their miller indices.

A: To draw three parallel planes and determine their miller indices.

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: one carbon atom for every 100 iron atoms in an interstitial position in BCC iron, giving a lattice…

A: Data given - one carbon atom for every 100 iron atoms lattice parameter of 0.2867 nm To determine…

Q: 9. Calculate the planar atomic density for the (100), (110) and (111) planes for a BCC (body…

A: Planar density is given as - Densityρ =Number of atomsArea of plane

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: Tin atoms are introduced into an FCC copper crystal, producing an alloy with a lattice parameter of…

Q: Molybdenum has a BCC crystal structure, an atomic radius of 0.1363 nm, and an atomic weight of 95.94…

Q: in cubic structure Write down the CORRECT plane indices that is perpendicular to the miller indices…

A: Objective: To determine the plane indices perpendicular to the miller indices.

Q: 3. the iron has crystal lattice type (BCC) at (910°c) degrees Celsius and becomes (FCC) above this…

A: We know that the packing efficiency of BCC structure is 68%,that means the space occupied by the…

Q: At room temperature, crystal structures for cooper is of which type? Question 29 options:…

A: To choose: The correct option: Explanation: The crystal structures for cooper at room temperature:…

Q: 1) The density of a metal, which has the BCC structure and one atom per lattice point, is 0.855…

A: given data: density of metal in bcc structure=0.855g/cm3 atomic weight =39.09g/mol

Q: Iron exhibits an allotropic behavior change of solid state structure in such a way that when it is…

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

Q: Given that molybdenum (Mo) with atomic weight 95.94 g/mol and density 10.2 g/cm3 assumes a…

Q: If the atomic radius of a metal that has the facecentered cubic crystal structure is 0.137…

A: In face centered cubic structure one atom is located at the center of the faces of cube

Q: If the atomic radius of a metal that has the facecentered cubic crystal is 0.137 nm , calculate the…

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: Indices of direction. If [hkl] are indices of a set of directions relative to lattice vectors a, as,…

A: Hedonism is a theory of values which states that pleasure is intrinsically valuable and pain is…

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

Q: List the 12 slip systems for fcc. which of these will not be active if load is applied in [100]…

A: Slip occurs when some atoms slip past the other atoms on a certain plane(slip plane) in a certain…

Q: Draw the [1 1 0], [-1 1 0], [ 0 -1 -1] directions for FCC and prove they are crystallographically…

A: [ 1 1 0 ] => Miller Indices

Q: How can we calculate structure factor for "tetragonal, hexagonal and orthorhombic"?

A: To find :- How to calculate structure factor

Q: a) For a material having BCC crystal cell structure, write the expressions for Linear atomic density…

A: Linear atomic density for the (1,0,0) direction is calculated as follows: Number of atom is 1.…

Q: A paper clip has a mass of 10.75 grams and is made of gold. (FCC, R = 0.1442 nm), calculate: a) The…

A: Given Mass = 10.75 gm Radius = 0.1442 nm FCC crystal To find Number of unit cell Number of atoms

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: Molybdenum at 20°C has Body Centered Cubic (BCC) crystal structure with an atomic radius, R of 0.140…

A: To draw the BCC crystal, identify the relationship between atomic radius, R and lattice constant, a.…

Q: In BCC crystal system, write down the number of tetrahedral sites that could exist only in one face…

A: There are four tetrahedral sites on each of the six, BCC cell faces...

Q: If the atomic radius of a metal that has the face centered cubic crystal is 0.137 nm , calculate the…

Q: 14. In an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.112 nm, write…

Q: A hypothetical tetrahedral crystal has the following lattice parameters: a = b = 0.40 nm, c = 0.5…

A: Given details: a=b=0.4 nmc=0.5 nmα=β=γ=90°

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

Question

Show your all work

(2) A hypothetical tetrahedral crystal has the
following lattice parameters:
B = y = 90°.
Please write the indices of all planes/directions that belong to the family of (i) {100}
a = b = 0.40 nm, c = 0.5 nm, a =
and (ii)
<001>

Expert Solution

Step 1

Miller indices is a group of three numbers that indicates the orientation of a plane or set of parallel planes of atoms in a crystal. They are used to specify directions and planes.

Given,

$a = b = 0.40 n m, c = 0.5 n m α = β = γ = 90 °$

Here, a=b, but not equal to c, and all the angle are 90, therefore it belongs to the tetragonal crystal system.

The indices belongs to same family when they have same linear density same in all directions.

Step by step

Solved in 2 steps

Knowledge Booster

Quality Assurance, Process Planning, and Quality Control

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

question j620 Find the Miller indices of each crystallographic plane
Long Question：What are different types of lattice defects?Note: submit assignment in word format
Prof that the relation between atomic radius and lattice constant for FCC is a- 4r/V3 ? Question #3/ The atomic weight 207.2 (g/mol), crystal structure FCC, and atomic radius 0.175 nm, compute the theoretical densities of lead
a. Molybdenum at 20°C has Body Centered Cubic (BCC) crystal structure with an atomic radius, R of 0.140 nm. Draw the BCC crystal, identify the relationship between atomic radius, R and lattice constant, a. Calculate the atomic packing factor (APF) for Molybdenum at 20°C. b. What is grain boundary and state the importance of grain boundaries
A metal crystallizes in the face‑centered cubic (FCC) lattice. The density of the metal is 12020 kg/m3, and the length of a unit cell edge, ?, is 389.08 pm. Calculate the mass of one metal atom.
The density of a sample of HCP beryllium is 1.844 g/cm 3 , and the lattice parameters are a 0 = 0.22858 nm and c 0 = 0.35842 nm. Calculate (a) the fraction of the lattice points that contains vacancies: and (b) the total number of vacancies in a cubic centimetre of Be
Determine the possible crystal structure of Zinc Blende structure (ZnS), if the radii are as follows Zn+2 = 0.074 and S-2 = 0.184.
A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm3, and an atomic weight of 48.9 g/mol. The atomic radius of this metal is
Define the difference between elastic and plastic deformation in terms of the effect on the crystal lattice structure.
Tin atoms are introduced into an FCC copper crystal, producing an alloy with a lattice parameter of 3.7589 3 10–8 cm and a density of 8.772 g/cm3. Calculate the atomic percentage of tin present in the alloy
Given that molybdenum (Mo) with atomic weight 95.94 g/mol and density 10.2 g/cm3 assumes a body-centered cubic (BCC) crystal structure, estimate its atomic radius in pm.
A metal having a cubic structure has a density of 2.6 g/cm3, an atomicweight of 87.62 g/mol, and a lattice parameter of 6.0849Unexpected text node: One atom is associated with each lattice point.Determine the crystal structure of the metal.