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Primitive lattice vectors - University of Michigan

Primitive lattice vectors - University of Michigan

www-personal.umich.edu

For a 2D lattice, we can find twoprimitive lattice vectors (primitive translation vectors), such that any translation vector can be written as!⃗=$ %&⃗ %+$ (&⃗ (where $ %and $ (are two integers. For a 1D lattice, we can find one primitive lattice vector (primitive translation vector), such that any translation vector can be written as!⃗ ...

  Lattice, 2d lattice

Handout 4 Lattices in 1D, 2D, and 3D - Cornell University

Handout 4 Lattices in 1D, 2D, and 3D - Cornell University

courses.cit.cornell.edu

• The volume (3D), area (2D), or length (1D) of a primitive cell can be given in terms of the primitive vectors, and is independent of the choice of the primitive vectors or of the primitive cells a1a2 3 a1. a2 a3 1 a1 1D 2D 3D Example, for the 2D lattice above: 2 …

  Lattice, 2d lattice

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