Homework 6
MATRL 101: Introduction to Structure and Properties
Problem 1: Phase diagrams of real alloy systems can often become quite complicated if the
metals do not form a continuous solid solution, but even complicated phase diagrams can be
broken down
Homework 7
MATRL 101: Introduction to Structure and Properties
Problem 1: Continuous Cooling Transformation (CCT) Diagrams
a) A eutectoid steel is heated to 800C and cooled at varying rates. Predict the microstructure of
the following cooling rates with t
Test Conceptual Questions
Lectures 1/2
Q: Describe, in a sentence or two each, the three types of intramolecular bonding that we discussed.
(3)
A: Ionic, covalent, metallic
Ionic = Electron transfer, generally results in filled valence subshells. Val
b) Kirkendall effect is the result of unequal fluxes of two metal species (interdiffusion), A and B,
across a boundary. As the interdiffusion of metals are mediated by lattice vacancies, diffusion
from atom site 1 to vacancy site 2 will lead to the vaca
Homework 1 Solutions
Problem 1:
a) This part was open-ended
b) Electron Configurations:
i. Calcium: [Ar]4s2
ii. Rhodium: [Kr] 4d8 5s1
iii. Lead: [Xe] 4f14 5d10 6s2 6p2
iv.
Carbon: [He] 2s2 2p2
v. Astatine: Xe 4f14 5d10 6s2 6p5
Problem 2
1)
a) n = principa
FOR THIS PROBLEM LEAVE ALL DISTANCES IN TERMS OF THE LATTICE
PARAMETER a.
The coordination number of a given atom in a lattice is defined by the amount of nearest
neighbors it has. A nearest neighbor is an atom that is the closest distance away from a giv
The Miller indices are the notations we use to study and talk about direction and planes in
crystals.
!
The direction [u v w] is defined as a vector: r = ua + vb + wc
The plane (h k l) is defined such that the plane has this equation in Cartesian coordina
4.5)
=
=
= 1.38 1023
= 6.02 1023
= 1123
= 58.69
= 8.80
3
Rearranging the first equation it can be found that:
= ln (
)
Plugging in numbers it can be found that:
= 9.03 1028
3
= 2.2 1019
= .
4.6)
Follow the Hume-Rothery Rules:
1.
Atomic si
Materials 100A HW 2
October 13, 2016
2.18
1)
dEn
dr
=
A
r2
nB
r n+1
=0
2) Plug in r = r0 and
that r0 =
3) E0 =
A
( nB
)
A
r0
+
A
nB
2(n+1)
= r0
, then raise each side to the power
1
1n
so
1
1n
B
r0n
=
A
1
A
( nB
) 1n
+
B
n
A
) n1
( nB
2.22
a) Ionic bondin
Homework 1
MATRL 101: Introduction to Structure and Properties
Problem 1:
a) Using sources such as Wikipedia, give one example of a ceramic used in nanotechnology and
its application. Why is that ceramic better than other options?
b) Using noble gas notat
Homework 2
MATRL 101: Introduction to Structure and Properties
Problem 1: Family of plane and HCP problem
a) Identify 3 families of planes for the following lattices. List all possible planes within the
family and sketch the atoms with centers on the plan
Homework 3
MATRL 101: Introduction to Structure and Properties
Problem 1: Coordination number, nearest neighbors, and interstitial sites
FOR THIS PROBLEM LEAVE ALL DISTANCES IN
TERMS OF THE LATTICE PARAMETER, a.
The coordination number of a given atom in
Materials 100A: Orbitals, bonding, etc.
Orbitals, and the Periodic Table
Ram Seshadri MRL 2031, x6129, [email protected]
These notes closely follow P. W. Atkins, Physical Chemistry
The Hydrogen atom: To understand the quantum mechanics of the hydrogen
Materials 100A: Quantum Mechanics and Atomic Structure
Introduction to QM and Atomic Structure:
Ram Seshadri MRL 2031, x6129, [email protected]
These notes closely follow P. W. Atkins, Physical Chemistry
QM traces its origins to the failure of classic
Materials 100A: Metals and Semiconductors
Metals and Semiconductors
Ram Seshadri MRL 2031, x6129, [email protected]
Electrical resistance and Ohms Law:
If an electric current I (units of A, Amp`ere) flows through a conductor with resistance R, then th
Materials 100A: Miller planes, the Bragg law etc.
Miller planes, the Bragg law etc.
Ram Seshadri MRL 2031, x6129, [email protected]
Specifying directions
Consider any line from the origin O of the unit cell, where the edges of the cell has the vectors
Materials 100A: Crystals, packings etc.
Crystals, packings etc.
Ram Seshadri MRL 2031, x6129, [email protected]
These notes complement chapter 6 of Anderson, Leaver, Leevers and Rawlings
The unit cell and its propagation
Materials usually possess exte
Materials 100A: Crystals, packings etc.
Crystals, packings etc.
Ram Seshadri MRL 2031, x6129, [email protected]
These notes complement chapter 6 of Anderson, Leaver, Leevers and Rawlings
Bond Distances
We have seen that in the P-cubic structure, the c
Materials 100A: Magnetism
Magnetism
Ram Seshadri MRL 2031, x6129, [email protected]
Some basics:
A magnet is associated with magnetic lines of force, and a north pole and a south pole. The lines of force come
out of the north pole (the source) and are
Materials 100A: Polar materials, capacitance etc.
Polar materials, capacitance etc.
Ram Seshadri MRL 2031, x6129, [email protected]
Capacitance and Ferroelectrics
A voltage V applied across a capacitor of caacitance C allows a quantity Q of charge to
Materials 100A: Addendum on Metals and Semiconductors
Addendum on Metals and Semiconductors
Ram Seshadri MRL 2031, x6129, [email protected]
Metals:
Free electron theory: In the free electron model of a metal, the valence electrons of the constituent a
Materials 100A: Optical Properties, devices . . .
Optical Properties, devices . . .
Ram Seshadri MRL 2031, x6129, [email protected]
Some basics:
Electromagnetic radiation has electric and magnetic field components that are perpendicular to each other
Materials 100A: Crystal defects
Crystal defects
Ram Seshadri MRL 2031, x6129, [email protected]
This class closely follows the chapter 8 of Anderson, Leavar, Leevers and Rawlings
The structural hierarchy in a material
The hierarchy of structure in a p
Materials 100A: Superconductivity
Superconductivity
Ram Seshadri MRL 2031, x6129, [email protected]
In 1908, Kamerlingh Onnes liquefied He for the first time, and in 1911 he used it to cool mercury to about
1.5 K. At 4.2 K, the resistance of his Hg s
Materials 100A: Assignment 1
Assignment 1
Ram Seshadri MRL 2031, x6129, [email protected]
Submit to Paul by Thursday 10/07/2004. Keep answers short.
1. Write out the complete electronic configuration for the following species:
(a) N, Si, Ga
(b) N+3 (a
Assignment 2 Solutions
1. Silicon has the diamond structure (8 atoms per unit cell), a cell parameter at room
temperature of a = 5.4309 A, and a density of 2330 kg m3. Use this information
to estimate the Avogadro number. The atomic mass of Si is 28.086.
Materials 100A Midterm Solutions
1. Multiple Choice
a. The Plank relation concerns:
(i). Energy and frequency
b. Which statement is false concerning the relation pxx:
(iii). px denotes momentum along x
c. Regarding a quantum particle in a box, which state
Assignment 3 Solutions
1.
a.) A-O distance = 2 * a/2 = 2.83 x 10-10 m
b.) B-O distance = a/2 = 2 x 10-10 m
c.) Ratio of A-O to B-O distances = 2.83 / 2 = 1.415
d.)
The dark line outlines a cell which has the same structure as NaCl.
2. The plane is the (0,