Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Wigner–Seitz cell
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Definition=== The Wigner–Seitz cell around a lattice point is defined as the [[locus (mathematics)|locus]] of points in space that are closer to that lattice point than to any of the other lattice points.<ref name=Ashcroft>{{cite book|author1=Neil W. Ashcroft|authorlink1=Neil Ashcroft|author2=N. David Mermin|authorlink2=N. David Mermin|title=Solid State Physics|page=[https://archive.org/details/solidstatephysic00ashc/page/73 73–75]|isbn=978-0030839931|year=1976|publisher=Holt, Rinehart and Winston |url-access=registration|url=https://archive.org/details/solidstatephysic00ashc/page/73}}</ref> It can be shown mathematically that a Wigner–Seitz cell is a [[primitive cell]]. This implies that the cell spans the entire [[Bravais lattice|direct space]] without leaving any gaps or holes, a property known as [[tessellation]].
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)