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Merged Anton Akhmerov requested to merge learning_goals into master
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@@ -3,12 +3,14 @@
_based on chapters 12–14, (up to and including 14.2) of the book_
Exercises 12.3, 12.4, 13.3, 13.4, 14.2
In this lecture we will:
!!! summary "Learning goals"
- discuss how to classify crystal structures
- review some common crystal structures
- expand on the topics of reciprocal space and Brillouin zone
- consider diffraction experiments on crystals
After this lecture you will be able to:
- Describe any crystal using crystallographic terminology, and interpret this terminology
- Compute the volume filling fraction given a crystal structure
- Determine the primitive, conventional, and Wigner-Seitz unit cells of a given lattice
- Determine the Miller planes of a given lattice
### Crystal classification
@@ -100,6 +102,14 @@ Miller index 0 means that the plane is parallel to that axis (intersection at "$
If a crystal is symmetric under $90^\circ$ rotations, then $(100)$, $(010)$ and $(001)$ are physically indistinguishable. This is indicated with $\{100\}$. $[100]$ is a vector. In a cubic crystal, $[100]$ is perpendicular to $(100)$ $\rightarrow$ proof in problem set.
!!! summary "Learning goals"
After this lecture you will be able to:
- Define the reciprocal space, and explain its relevance
- Construct a reciprocal lattice from a given lattice
- Compute the intensity of X-ray diffraction of a given crystal
### Reciprocal lattice
For every real-space lattice
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