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  2. Cubic crystal system - Wikipedia

    en.wikipedia.org/wiki/Cubic_crystal_system

    The plane of a face-centered cubic lattice is a hexagonal grid. Attempting to create a base-centered cubic lattice (i.e., putting an extra lattice point in the center of each horizontal face) results in a simple tetragonal Bravais lattice. Coordination number (CN) is the number of nearest neighbors of a central atom in the structure. [1]

  3. Close-packing of equal spheres - Wikipedia

    en.wikipedia.org/wiki/Close-packing_of_equal_spheres

    There are two simple regular lattices that achieve this highest average density. They are called face-centered cubic (FCC) (also called cubic close packed) and hexagonal close-packed (HCP), based on their symmetry. Both are based upon sheets of spheres arranged at the vertices of a triangular tiling; they differ in how the sheets are stacked ...

  4. Terrace ledge kink model - Wikipedia

    en.wikipedia.org/wiki/Terrace_ledge_kink_model

    Figure 1: The names for the various atomic positions in the TLK model. This graphic representation is for a simple cubic lattice. Figure 2: A scanning tunneling microscope image of a clean silicon (100) surface showing a step edge as well as many surface vacancies. Many kink sites are visible along the terrace edge.

  5. Crystal structure - Wikipedia

    en.wikipedia.org/wiki/Crystal_structure

    This type of structural arrangement is known as cubic close packing (ccp). The unit cell of a ccp arrangement of atoms is the face-centered cubic (fcc) unit cell. This is not immediately obvious as the closely packed layers are parallel to the {111} planes of the fcc unit cell. There are four different orientations of the close-packed layers.

  6. Atomic packing factor - Wikipedia

    en.wikipedia.org/wiki/Atomic_packing_factor

    For a face-centered cubic unit cell, the number of atoms is four. A line can be drawn from the top corner of a cube diagonally to the bottom corner on the same side of the cube, which is equal to 4r. Using geometry, and the side length, a can be related to r as: =.

  7. Interstitial site - Wikipedia

    en.wikipedia.org/wiki/Interstitial_site

    Octahedral (red) and tetrahedral (blue) interstitial symmetry polyhedra in a face-centered cubic lattice. The actual interstitial atom would ideally be in the middle of one of the polyhedra. A close packed unit cell, both face-centered cubic and hexagonal close packed, can form two different shaped holes.

  8. Miller index - Wikipedia

    en.wikipedia.org/wiki/Miller_index

    For face-centered cubic and body-centered cubic lattices, the primitive lattice vectors are not orthogonal. However, in these cases the Miller indices are conventionally defined relative to the lattice vectors of the cubic supercell and hence are again simply the Cartesian directions.

  9. Structure factor - Wikipedia

    en.wikipedia.org/wiki/Structure_factor

    Consider the scattering of a beam of wavelength by an assembly of particles or atoms stationary at positions , =, …,.Assume that the scattering is weak, so that the amplitude of the incident beam is constant throughout the sample volume (Born approximation), and absorption, refraction and multiple scattering can be neglected (kinematic diffraction).