Landolt-Börnstein - Group III Condensed Matter

2.1.2.1.1 Face-centred and body-centred cubic crystals

Abstract

This chapter presents surface diagrams for face-centred cubic (fcc) crystals and body-centred cubic (bcc) crystals. For each of the fcc and bcc surfaces, a unit cell this cell is projected back through the crystal to give a set of atoms. The depth of projection is chosen to include all atoms with broken nearest neighbour bonds and any other atoms that would be reasonably visible in a ball model of the surface made from balls providing contact between nearest neighbours. The tables included give the co-ordinates of the surface atoms, including A and B but not C, in three ways, all relative to the origin O and all in terms of a length 1/2a, where a is the lattice parameter. The co-ordinates are given first relative to the normal cubic axes and then converted to be relative to a set of Cartesian axes OXYZ with OX parallel to OA, OZ along the outward normal to (hkl), and OY normal to both OX and OZ, i.e., in the surface and normal to OA, these latter co-ordinates being given first as integers over a normally irrational denominator and then calculated correct to four decimal places. The third set of co-ordinates has been used to draw the unit cell OABC and the positions of atoms projecting onto or within this cell. Each atom is represented by a numbered point surrounded by the portion or portions of a circle of diameter equal to the nearest neighbour distance that would be visible in a ball model.

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About this content

Title
2.1.2.1.1 Face-centred and body-centred cubic crystals
Book Title
Structure
In
2.1.2.1 Positions of surface atoms in particular surfaces
Book DOI
10.1007/b41604
Chapter DOI
10.1007/10031427_15
Part of
Landolt-Börnstein - Group III Condensed Matter
Volume
24A
Editors
  • G. Chiarotti
Authors
  • J. F. Nicholas

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