Indices of direction. If [hkl] are indices of a set of directions relative to lattice vectors a, as, az and [h'k'l'] are the indices of same direction relative to lattice vectors af, as, a, obtain the relation between two sets of indices. Hence show that, if aj, a, a, are lattice vectors for the conventional hexagonal unit cell and a, a, a refer to the orthorhobic cell of an hcp structure, then 200 h' k 1 10 k' 00 1 ab adT botnle

Indices of direction. If [hkl] are indices of a set of directions relative to lattice vectors a, as, az and [h'k'l'] are the indices of same direction relative to lattice vectors af, as, a, obtain the relation between two sets of indices. Hence show that, if aj, a, a, are lattice vectors for the conventional hexagonal unit cell and a, a, a refer to the orthorhobic cell of an hcp structure, then 200 h' k 1 10 k' 00 1 ab adT botnle

Understanding Motor Controls

4th Edition

ISBN:9781337798686

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter44: Semiconductors

Section: Chapter Questions

Problem 4RQ

See similar textbooks

Similar questions

Suppose that a particular crystal has a primitive unit cell that can be described by the following primitive lattice vectors: NOTE: i, j and k are unit vectors. a1 = √2ai + √2aja2 = (−3a/√2)i +( 3a/√2)ja3 = −√2ai − √2aj + 2√3ak (a) Determine the crystal system of the crystal. (b) Using the reciprocal lattice, determine an expression for the interplanar spacings of the crystal. (c) Suppose that the constant ? has a value of 0.546 nm and that the interplanar spacing for planes with certain unknown Miller indices was measured to be 0.539 nm. Determine an equation satisfied by the Miller indices of the planes and hence suggest which planes they are.
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
3. BCC Li has a lattice parameter, ao, of 0.35089 nm and contains 1 vacancy per 300 unit cells at 200 C.a) Calculate the number of vacancies/cubic centimeterb) For the number of vacancies given in the problem statement (i.e. 1 vacancy per 300 units cells), determine the corresponding density of the Li sample.
In an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.112 nm, write down the three digit value of the lattice parameter c in nm unit
Suppose that a particular crystal has a primitive unit cell that can be described by the followingprimitive lattice vectors: (as seen in picture) (a) Determine the crystal system of the crystal. (b) Using the reciprocal lattice, determine an expression for the interplanar spacings of thecrystal. (c) Suppose that the constant ? has a value of 0.546 nm and that the interplanar spacing for planes with certain unknown Miller indices was measured to be 0.539 nm. Determine an equation satisfied by the Miller indices of the planes and hence suggest which planes they are.
The Cu3Au crystal structure is similar to the FCC crystal structure, but it does not have the FCC lattice. What is the crystal structure of Cu3Au if it has a basis of Au (0, 0, 0), Cu (0, 1/2,1/2), Cu (1/2, 0, 1/2), and Cu (1/2, 1/2, 0)? a. HCP b. Primitive cubic c. BCC d. BCT
With a hexagonal crystal structure where a0=0.22858nm, co=0.35842nm, an atomic radius of 0.1143nm, density of 1.848g/cm3, and an atomic weight of 9.01g/mol, what is a)number of atoms in each unit cell and b) the packing factor in each unit cell.
Compute the density of Zinc, where the atomic radius of Zn=1.453×10-8 and atomic weight =72.4 g/mol and the crystal structure is BCC?
When compression is generated in the crystal lattice, it is because a substitutional atom entered it A) Of the same element but with a larger atomic radiusB) Of another element but with a smaller atomic radiusC) Of the same element but with a smaller atomic radiusD) From another element but with a larger atomic radius
Indices of planes. Consider the planes with indices (100) and (001); the lattice is fec, and the indices refer to the conventional cubic cell. What are the indices of these planes when referred to the primitive axes of Fig. 13?
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.
Zinc hasthe hexagonal close-packed crystal structure. The lattice parameters for zinc are a = 0.26648 nm and c = 0.49470 nm, and the atomic radius is 0.1332 nm. Note that zinc does not have the ideal atomicpacking facto1: a)What is the number of atoms per unit cell in the hexagonal close-packed structure? b)Determine the atomic packing factor of the Zn unit c)Is the c/a ratio for zinc greater than or less than the ideal HCP c/a ratio? Will slip be harder or easier in zinc compared to the ideal HCP structure? Explain your answer fully.