Bravais lattice from lattice points

  • #1
GeologistInDisguise
6
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.
 

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