The unit cell of the tetragonal (a = b not equal to c) phase of a Ni and Nb alloy is given below a. Is there a 4-fold rotational axis of symmetry parallel to the a-axis? Show your answer. b. Is there a 4-fold rotation axis of symmetry parallel to the c-axis? Show your answer. c. Is the center of the unit cell an inversion center? Show your answer.

Q: For a BCC crystalline structure, determine the ratio of the planar density in the (101) plane to…

A: Assume that length of the edge of the unit  cell is "a".

Q: The unit cell of the tetragonal (a = b not equal to c) phase of a Ni and Nb alloy is given below. a.…

A: Given a tetragonal unit cell where a=b but not equal to c . Let's discuss the mirror planes and…

Q: 4. Given the following unit cell containing two different types of atoms (white = W; black = B): a.…

A: Given data:The unit cell contains two different types of atomsWhite = W = 8Black = B = 14A unit cell…

Q: 7. Show a (2 1 0) plane on a BCC unit cell. Draw a circle at the location of any BCC lattice points…

A: Body-centered cubic unit cell is known as BCC unit cell. It contains 1 atom at the centre of the…

Q: A. What is the empirical formula of the ionic compound? B. What is the coordination number of the…

A:

Q: Consider a two-dimensional crystal with rectangular shape, dimensions 10 um x1 um, lattice spacing…

A: Fermi energy level =  (lattice spacing )/2 or Energy gap /2

Q: If Na+ ions were to substitute for magnesium ions in MgO, in order to preserve electroneutrality,…

A: Impurity defects are produced in the MgO crystal. Two Na+ ions replaced one Mg2+ ion for…

Q: 3) Draw two different projections of a monoclinic unit cell with a = 3 Å, b = 4 Å, c = 5 A, B =…

A: Drawing two distinct projections of a monoclinic unit cell and calculating the interatomic lengths…

Q: 2) Draw BCC unit cells with the following planes/vectors A: (111) B: [010] C: (221)

A: In crystallography, the lattice planes of unit cells are represented by three integers known as…

Q: 20. A unit cell has the dimensions a = 4 A, b= 6 A, c = 8 A, x = ß = 90°, y = 120°. Determine: a)…

A:

Q: The cell parameters and lattice angles for the tetragonal a = 3.785 Å a = 90* %3D b = 3.785 Å B =…

A: Solution -

Q: You are given the following data  : Peak order (n)…

A: Given: Peak order (n)                                                  Diffraction Angle (2q) 1…

Q: Part III. Calculations (16) (10 points) The unit cell length for iron is 0.2867 nm and has a BCC…

A: The objective of this question is to calculate the Atomic Packing Factor (APF) for iron, which has a…

Q: An isotropic amorphous vitreous substance (meaning that it has the same refractive index regardless…

A: The term "isotropic amorphous vitreous substance" applies to materials exhibiting uniform properties…

Q: Draw a triclinic unit cell and mark on it the (100), (010), (001), (011), (101), and (110) planes.

A:

Q: In crystalline Na2O, which statement(s) about defects is (are) correct? Choose one from A-E: i). a…

A: The objective of the question is to identify the correct statement about the defects in crystalline…

Q: Draw an orthorhombic unit cell and mark on it the (100), (010), (001), (011), (101), and (110)…

A: The planes of the orthorhombic unit cell can be drawn by taking the reciprocal of the coordinates to…

Q: Sketch the Miller plane in a unit cell (1-31)

A:

Q: 1. Which of the following unit cells do not exist for monoclinic lattices? a) Simple unit cell, b)…

A: 1) c) FCC doesn't exist for the monoclinic lattices. 2) a) [310]

Q: 6. Using structure factor rules, show that the selection rules for BCC crystal is h+k+l=even. Also…

A: For BCC lattice, If atom at (0,0,0) and (1/2,1/2,1/2) and equivalent position  F = fj eiφj      = fj…

Q: 1. For FCC (face-centered cubic) platinum (Pt, having an atomic radius of 0.1387 nm), determine the…

A: Given Type of Structure    = FCC Atomic Radius  ( R )= 0.1387 nm  Plane = ( 3 1 1 )  Wavelength =…

Q: how CsCl unit cells are repersented in a extended model?

A: As CsCl is known to have a simple cubic structure, thus the extended model can be represented as…

Q: Explain and discuss the difference between the 2-Dimensional and 3-Dimensional structure of…

A: We have to Explain and discuss the difference between the 2-Dimensional and 3-Dimensional structure…

Q: 5. a. Would you expect Frenkel defects for anions to exist in ionic ceramics in relatively large…

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Q: 3. Determine the Miller indices for the planes shown in the following unit cell: +Z B A -IN 2/3 +y

A: After joining the crystal lattice points by straight lines, those straight lines were assumed to be…

Q: 2. Indices of planes. Consider the planes with indices (100) and (001); the lattice is fcc, and the…

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Q: 5. For which set of crystallographic planes will a first-order diffraction peak occur at a…

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Q: 8. a) Show that a two-dimensional lattice may not possess a 5-fold symmetry. b) Establish the fact…

A: Although objects themselves may appear to have 5-fold, 7-fold, 8-fold, or higher-fold rotation axes,…

Q: For BCC (body-centered cubic) chromium (Cr, having atomic radium of 0.1249 nm), determine the…

A: The expression of Bragg’s law is shown below: nλ = 2d sin θ where; n = order of reflection λ=…

Q: a) For bcc lattice, which values of hkl give reflection? b) For fcc lattice, which values of hkl…

A: Lattice may be simple cubic, face centered, body center and diamond lattice.

Q: Define polymorphism and allotropy. Give ONE example of materials that have polymorphic…

A: Polymorphism: Polymorphism can be defined as the ability of a substance to crystallize into…