RECITATION 3
SEPTEMBER 9, 2022
Announcements
• Blank recitation slides on Canvas
• HW 2 due today (11 am)
• HW 3 released at 11 am – due next Friday (Sep 16 at 11 am)
Chapter 2 Review – Electron Configuration
Ex: Mn
2
2
6
2
6
2
5
1s 2s 2p 3s 3s 4s 3d
OR
2
2
6
2
6
5
2
1s 2s 2p 3s 3s 3d 4s
Chapter 2 Review – Electron Configuration
Resource: https://ptable.com/
Crystallographic Directions
From Indices to Vectors
Cubic [U V W]
1. Divide by largest
integer
2. Draw “path”
3. Convert “path” to head
to tail
HCP [u v t w]
1. Divide by largest integer
2. Draw “path”
3. Convert “path” to head
to tail
Crystallographic Directions
From Vector to Indices
Cubic [U V W]
1. Subtract coordinates
(head to tail)
2. Divide/multiply to
smallest integer
HCP [u v t w]
1. Find [U V W] indices using a1, a2, and z
2. Convert [U V W] to [u v t w] using
Callister Eqns. 3.11a-d
3. Divide/multiply to smallest integer
Crystallographic Planes
From Indices to Planes
Cubic (h k l)
1. Take reciprocal
2. Plot intersection points
based off reciprocals
3. Draw plane that
connects all points
HCP (h k i l)
1. Take reciprocal
2. Plot intersection points based off
reciprocals
3. Draw plane that connects all points
Crystallographic Planes
From Planes to Indices
Cubic (h k l)
1. Find intersection point
of each axes
2. Take reciprocal
3. Make integer
HCP (h k i l)
1.
2.
3.
4.
Find intersection point of each axes
Take reciprocal
Make integer
Check: 𝑖 = −(ℎ + 𝑘)
Crystallographic Directions
Linear Density (LD)
Planar Density (PD)
Atomic Packing Factor (APF)
Crystallographic Directions
What is the planar density for a BCC unit cell along the (110) plane?
Quiz 3
where Cubic [U V W]
and HCP [u v t w]