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Crystals are solid material whose constituents, such as atoms, molecules or ions, are *arranged in a highly ordered microscopic pattern*, a crystal lattice that extends with regularity in all directions. Use for all crystallography and ordered structure topics.

3 votes
0 answers
72 views

Born–von Kármán (BvK) Supercell

I have come across in the literature Born–von Kármán (BvK) Supercell, which are described as a unit cell that is repeated periodically. However, say in a calculation that is derived using a BvK superc …
L_J's user avatar
  • 165
1 vote
1 answer
266 views

Brillouin Zone Summation

If one has the following summation: $$\frac{1}{A}\sum_{\vec{k}} F(\vec{k})$$ which is taken over all k-space and $A$ is the area of the unit cell from the system itself. I want to them limit this to b …
L_J's user avatar
  • 165
3 votes
0 answers
67 views

Discretising Hexgonal Brillouin Zone

I am looking at a system at which I have a 2D Hexagonal Brillouin Zone (BZ). The aim is to take the following type of procedure: $$ \frac{A}{(2\pi)^2}\int_{BZ} F(\vec{k}) d\vec{k} \hspace{5pt} \Righta …
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  • 165