The " primitive translation vectors " 1 } }, 2 } }, 3 } } span a lattice cell of smallest volume for a particular three-dimensional lattice, and are used to define a crystal translation vector
2.
Where \ textbf { a } ^ * and \ textbf { b } ^ * are the primitive translation vectors of the 2D reciprocal lattice of the surface and \ textbf { k } ^ { | | }, \ textbf { k } _ 0 ^ { | | } denote the component of respectively the reflected and incident wave vector parallel to the sample surface . \ textbf { a } ^ * and \ textbf { b } ^ * are related to the real space surface lattice in the following way:
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