Imperfections in Solids Chpt 4 Flashcards
What are the types of defects explain
0-D: point defects: atoms missing or in irregular places in lattice (vacancies, interstitials [additional atoms occupy empty spaces betweeen regular lattice atoms], impurities)
1-D: linear defects: groups of atoms in irregular positions (edge and screw dislocations)
2-D: planar defects: the interfaces between homogeneous region of materials (grain boundaries, external surfaces) so aka area defects
How to calculate Equilibrium number of vacancies
N_v = N e ^ (- Q_v / k T )
N = number of atomic sites
Q_v = activation energy
k = boltzmann’s constant
= 1.38 x 10^-23 J/atom K
T = temperature
You can use the graph of temp. vs N_v / N
just multiply by ln
What are self-Interstitials?
extra atoms positioned between atomic sites.
self-interstitials in metals introduce large distortions in the surrounding lattice ; the energy for self-interstitial formation is 3 times larger as compared to vacancies
What is substitutional type
impurity atoms replace the host atom
Whats interstitial type
impurity atoms fill the voids among the host atoms
Impurities vs alloys
impurities:
atoms different from the host.
near all metals are impure
Alloy:
impurity atoms added intentionally for the characteristics that they impart
-like adding carbon to iron to make steel (stronger than pure iron)
-adding boron to silicon so it has electrical properties
What are solid solutions?
host solvent dissolves the solute
solvent: in an alloy, the element present in greater amount
- homogeneous
- maintain crystal structure
- contain randomly dispersed impurities
has substitutional solid solution
interstitial solid solution
What are the factors for high solubility for substitutional solid solution?
- radii of solute and solvent atoms <15%
- crystal structures of solute and solvent should be the same
- electro-negatives of solute and solvent should be comparable
Factors for high solubility for interstitial solid solution?
- for fcc, bcc, and hcp lattices, radius of solute should be significantly less than the solvent
- sizes of voids compatible with radius of solute
- normally, max solute concentration <10%
Composition meaning
amount of impurity and host in the system
What is weight percent and atom percent?
WP:
useful when making the solution
c_1 = (m_1 / [m_1 + m_2]) * 100
AP:
useful when trying to understand material at atomic level
c’_1 = (n_m1 / [n_m1 + n_m2]) * 100
n_m1 = m_1 / A_1,m1 is grams of element 1. A1 is atomic weight of element 1
COMPOSITION CONVERSION: LOOK UP THE CONVERSION WEIGHT AND VOLUME
Line defects fall under what category
dislocations: cause slip between crystal plane when they move, produce permanent (plastic) deformation
example of line defects
zinc after tensile elongation, forms slip steps