Engineering Bravais lattice from lattice points

Click For Summary
SUMMARY

The discussion focuses on identifying the type of unit cell based on lattice points and translations. The user confirms that their structure is not a face-centered unit cell due to having only two atoms instead of four. They express confusion regarding the application of body-centered translations, specifically how to interpret the coordinates resulting from these translations, such as 1/2 1 1/2. The lack of examples in their reference material further complicates their understanding of body-centered unit cells.

PREREQUISITES
  • Understanding of unit cell types in crystallography
  • Familiarity with lattice point translations
  • Knowledge of body-centered cubic (BCC) structures
  • Basic concepts of crystallographic coordinates
NEXT STEPS
  • Research the characteristics of body-centered cubic (BCC) unit cells
  • Study examples of lattice point translations in crystallography
  • Learn how to visualize unit cells using software like VESTA or CrystalMaker
  • Explore resources on crystallographic symmetry and its implications on unit cell types
USEFUL FOR

Chemistry students, materials scientists, and crystallographers seeking to deepen their understanding of unit cell structures and lattice point translations.

GeologistInDisguise
Messages
6
Reaction score
1
Homework Statement
Given the orthorhombic unit cell, what is the bravais lattice?

Two atoms of the same kind per unit cell located at 0 1/2 0, 1/2 0 1/2
Relevant Equations
face centering translations: ½ ½ 0 and ½ 0 ½ and 0 ½ ½
body centering translations: ½ ½ ½
base centering translations ½ ½ 0 or ½ 0 ½ or 0 ½ ½
I am confused on how to use these translations to tell what type of unit cell I have. I know that this is not a face centered unit cell because you need 4 total atoms and I only have two. From what I understand, to apply a body centering translation you add or subtract it from the lattice point. From there I am lost. Applying the body centering translation to the first atom results in 1/2 1 1/2. What does this mean? What would it look like if it were body centered? I can't find many examples of this online, and the book I am using does not really provide any examples.
 

Similar threads

Undergrad Are All Periodic Lattice Arrangements Bravais Lattices?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Questions Regarding Primitive Unit Cell
  • · Replies 4 ·
Replies
4
Views
4K
Equivalence between Bravais lattice definitions
  • · Replies 0 ·
Replies
0
Views
1K
Undergrad Who can identify a Bravais Lattice?
  • · Replies 8 ·
Replies
8
Views
4K
Engineering Instantaneous Center of Rotation (Polplan in german) and STATICS
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Miller indices and periodic boundary conditions
  • · Replies 0 ·
Replies
0
Views
3K
How to Determine the Unit Cell Type From the XRD Data?
  • · Replies 1 ·
Replies
1
Views
2K
Engineering Current density calculation in anisotropic ferromagnetic film
  • · Replies 7 ·
Replies
7
Views
2K
Engineering Issue with shift registers — PIPO, PISO, SIPO and SISO
  • · Replies 10 ·
Replies
10
Views
4K
Figuring out Bravais lattice from primitive basis vectors
  • · Replies 9 ·
Replies
9
Views
4K