chapter 3 from lecture notes Flashcards
A crystalline material must have a fundamental_____(fill in the blank) which is then repeated in 3D throughout the material
Unit cell
Different material have unique ____ and ____ of the fundamental unit cell
1) shape 2) size
what is lattice parameter ?
measure of physical length and size of the unit cell
What is the simplest cubic structure ?
BCC
What is lattice parameter of BCC? How many atoms does it have ?
Lattice parameter =a=4R/sqrt(3)
There are total of 2 atoms per bcc crystal structure
1 atom at the centered
8x1/8 from the corner
total 2
What is FCC latice parameter ? How many atoms does it have ?
a=2Rsqrt(2)
there are 0 interior atoms
there are 8x1/8=1 atoms from the corner
number if face centered atoms=6x1/2=3
in total there are 4 complete atoms
Describe facts about hexagonal lattice parameter?
A common non-cubic crystal lattice where planes are stacked on top of each other.
It has two lattice parameter
a=length of hexagon
c=height of the hexagon crystal structure
it has total of 6 atoms
12x1/6 of corner atoms =2
2x1/2=1 face atoms
3x1=3 number of interior atoms
The higher the linear or planar density, the closer the atoms are, and can interact with each other. T/F
T
what are the densest plane in each FCC,HCP AND BCC and their atomic packaging factor rank them in order
FCC ( most densit) =(111) apf=0.74
HCP(2nd most densit)=(0001) apf=0.74
BCC(3rd most dense ) = (110) apf 0.68
X-ray diffraction question when will peak of FCC and BCC will happen ?
BCC peak will happen if h+k+l = even
FCC peak will happen if h,k,l are all odd or even