MTLE-2100 Structure of Engineering Materials, Homework #6 -Answer 1. For Aluminum (fcc) compare the x-ray diffraction intensities for the following planes when Cu K radiation (= 1.54A) was used. Consider only the square of the structure factor, F2. G

MTLE-2100 Structure of Engineering Materials, Homework #1
(Read textbook on Materials Science for Engineers; show how you obtained
your answer)
1. Indicate clearly all tetrahedral sites and octahedral sites in fcc and hcp.
2. Show that the critical radius

MTLE-2100 Structure of Engineering Materials, Homework #5 -Answer 1. Predict the x-ray diffraction peak positions (2) for the first four (smallest angle) peaks corresponding to (001), (100), (101) and (110) for a tetragonal crystal with a = 2.300A, c

MTLE-2100 Structure of Engineering Materials, Homework #8 -Answer 1. Diffusion coefficient of Na+ in a NaCl single crystal is shown in the attached figure. This crystal has a small quantity of impurity CaCl2 and Na+ diffuses by the vacancy mechanism.

MTLE-2100 Structure of Engineering Materials, Questions III-Answers 1. A glass can have different properties depending upon its cooling rate. Referring to the schematic diagram of the volume-temperature relation, predict the changes of density, and r

MTLE-2100 Structure of Engineering Materials, Homework #9 -Answer 1. MgO (rock salt structure) and Li2O (antifluorite structure) both are based on cubic close-packed oxygen, with cations occupying interstices in the array. Yet predominant point defec

MTLE-2100 Structure of Engineering Materials, Questions VI-Answer 1. Lead screens for the protection of personnel in x-ray diffraction laboratories are usually at least 1 mm thick. Calculate the transmission factor, Itrans/Iincident, of such a screen

MTLE-2100 Structure of Engineering Materials, Homework #3 -Answer 1. Li2O forms in the anti-fluorite structure (anions in fcc positions; Li+ ions occupy all the tetrahedral sites). a) Compute the value of the lattice constant. rLi+ = 0.59, rO2- = 1.4

MTLE-2100 Structure of Engineering Materials, Homework #2 Answer
1. calculate the theoretical density of the following materials:
(a) SiO2 -Quartz (hexagonal, a = 4.989, c = 5.446)
Unit cell contains 3 SiO2. Its volume is a2c sin(60)= a2c( 3 /2).
Atomic w

MTLE-2100 Structure of Engineering Materials, Homework #3
-Answer
1. Li2O forms in the anti-fluorite structure (anions in fcc
positions; Li+ ions occupy all the tetrahedral sites).
a) Compute the value of the lattice constant.
rLi+ = 0.59, rO2- = 1.40
b)

MTLE-2100 Structure of Engineering Materials, Questions I-Answer
1. Sketch the following planes and directions in cubic unit cell: (123), [123], (112),
[112], (110), [110] . Show that each of the planes above contains the [111] direction.
Only planes are

MTLE-2100 Structure of Engineering Materials, Questions II-Answers
1. Estimate the coordination number of Li+ (number of oxygen around Li+) in Li2O
from the radius ratio. rLi+ = 0.060 (or 0.076)nm, RO2-= 0.140 nm. Answer-C.N.=4, exception to the rule.
r/R

MTLE-2100 Structure of Engineering Materials, Questions III-Answers
1. A glass can have different properties depending upon its cooling rate. Referring
to the schematic diagram of the volume-temperature relation, predict the
changes of density, and refrac

MTLE-2100 Structure of Engineering Materials
Homework #3
(Read Chiang, Phys. Ceramics, p.25-26; Cullity-Stock, Elements of X-Ray
Diffraction, sections, 1.3, 1.4, 1.5)
1. Li2O forms in the anti-fluorite structure (anions in fcc positions;
Li+ ions occupy a

MTLE-2100 Structure of Engineering Materials, Homework #2
-Answer
1. calculate the theoretical density of the following
materials:
(a)
SiO2 -Quartz (hexagonal, a = 4.989, c = 5.446)
Unit cell contains 3 SiO2. Its volume is a2c sin(60)= a2c( 3 /2).
Atomic

MTLE-2100 Structure of Engineering Materials
Homework #3
(Read Chiang, Phys. Ceramics, p.25-26; Cullity-Stock, Elements of X-Ray
Diffraction, sections, 1.3, 1.4, 1.5, due Monday, Feb. 11, 2013)
1. Li2O forms in the anti-fluorite structure (anions in fcc p

MTLE 2100 Structure of Engineering Materials
1. Course Outline
Structure of metals, ceramics, and polymers and methods of structural determination will be
discussed. The former includes crystal structure, structural changes (transformation), defects, and

MTLE-2100 Structure of Engineering Materials
Homework #2
(Read: Chiang, Physical Ceramics, p.26, 28, 32, 38, 75, 76) due 2/7/13
1. calculate the theoretical density of the following materials:
(a) SiO2 -Quartz (hexagonal, a= 4.989, c = 5.446)
(b) SiO2 -Cr

MTLE-2100 Structure of Engineering Materials, Questions IV-answers
1. Low energy x-ray is used for radiology. Using the absorption data at = 1.542
estimate the ratio in the transmitted x-ray intensity of flesh and bone. The flesh
consists mainly of C, H a

MTLE-2100 Structure of Engineering Materials, Homework # 1-Answer
1. Do the following planes all belong to the same zone: ! (110) , ! (311), ! (13 2) ?
If so, what is the zone axis?
[2 Points]
Assume that an axis has the index [h k l]. For this direction

MTLE-2100 Structure of Engineering Materials, Questions. XII -Answers 1. Dislocation. Calculate the separation distance of dislocations in a low angle (2) grain boundary (tilt boundary) in Al. b = 0. 286 nm. Using the relation D=b, D = b/ = 2x/180 =

MTLE-2100 Structure of Engineering Materials, Questions XIV-Answer 1. SiO2 dissolves slightly in hot water. Calculate the normalized solubility, S/S 0, at the tip of a line crack of SiO2 as a function of the tip radius at 90C. Use the tip radius, 10,

MTLE-2100 Structure of Engineering Materials, Questions XIII-Answer 1. Vapor pressure of a sphere with radius, r, is given by ln(p1/p0) = (2/r)(M/RT) Calculate the increase in the vapor pressure, p 1/p0, for Al2O3 particles with radius 1000A and 100A

MTLE-2100 Structure of Engineering Materials, Questions II-Answers 1. Estimate the coordination number of Li+ (number of oxygen around Li+) in Li2O from the radius ratio. rLi+ = 0.060 (or 0.076)nm, RO2-= 0.140 nm. Answer-C.N.=4, exception to the rule

MTLE-2100 Structure of Engineering Materials, Questions I-Answer 1. Sketch the following planes and directions in cubic unit cell: (123), [123], (112), [112], (110), [110] . Show that each of the planes above contains the [111] direction. Only planes

MTLE-2100 Structure of Engineering Materials, Questions VIII-Answers
1.
What is the ratio of VAl' and VO of the Schottky defect in Al2O3?
To maintain the charge neutrality, 2 Al vacancy, 2 VAl' and three oxygen vacancy, 3VO, will be created.
2.

MTLE-2100 Structure of Engineering Materials, Questions VII-Answer 1. The structure factor of HCP was derived as F2= 4f2cos2[(h+2k)/3 +l/2] Summary, m integer h +2k l 3m odd 3m even 3m 1 odd 3m 1 even F2 0 4f2 3f2 f2
Verify the above results for (00