The unit cell of the tetragonal (a = b not equal to c) phase of a Ni and Nb alloy is given below. a. How many mirror planes can you identify? Show your answer b. Is the center of the unit cell an inversion center? Show your answer.

Q: True or False 1. The highest polarizability and expected to have the highest boiling point is Cl2…

A: 1. The highest polarizability and expected to have the highest boiling point is Cl2 among H2, N2,…

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: Applications of lonic Packing and Properties: 1. Spinels (Balas Rubies) The spinel crystal lattice…

A: The general formula of the spinel's is AB2X4.  Where, AII = divalent cation BIII= trivalent cation X…

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

A:

Q: How can we calculate the packing efficiency of the two-dimensional lattice?

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: sketch a tetragonal unit cell, and within that cell indicate locations of the 1/2 1 1/2 and 1/4 1/2…

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: In the given tetragonal unit cell of Ni and Nb alloy, we have to determine whether it consists of…

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: Show that the atomic packing factor for FCC is 0.74.

A: Since we only answer one question at a time, we'll answer the first one. Please resubmit the…

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

A:

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: a tetragonal crystal, unit cell a =4.5Å, c = 6Å. Evaluate the Bragg angle, q, for the (222)…

A: For a tetragonal crystal the unit cell dimension a =4.5 Å and c = 6 Å respectively. The reflection…

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: 5. Calculate the d-spacing of (111) plane in Cu. Copper has a fcc lattice structure and has an…

A:

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

A:

Q: Select the orthorhombic unit cell illustrating a 121 direction. Note: all angles are 90°.

A:

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…

A:

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

A:

Q: What are unit cell? What is the atomic packing factor? What are the atomic packing factors of BCC,…

A: Unit cell: The smallest repeated unit of a crystal lattice is called unit cell. It is building block…

Q: 3. for an FCC lattice calculate the structure factor Sk.

A:

Q: Make a table for comparison between the interior angles of the seven (7) unit cells and…

A: Comparing all of the unit cells and we see that

Q: Metal borides MB, exist for many transition metals. a. What is the minimum radius for the host metal…

A: The radius of of the atom and the radius of the octahedral void in close packing is having the…

Q: 1. Which of the following reactions is endothermic? a. Potential Energy- Reactants Products Reaction…

A: Exothermic reaction and endothermic reaction: • Exothermic reaction : Exothermic reactions are…

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.