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  2. Atomic packing factor - Wikipedia

    en.wikipedia.org/wiki/Atomic_packing_factor

    where N particle is the number of particles in the unit cell, V particle is the volume of each particle, and V unit cell is the volume occupied by the unit cell. It can be proven mathematically that for one-component structures, the most dense arrangement of atoms has an APF of about 0.74 (see Kepler conjecture), obtained by the close-packed ...

  3. Interstitial site - Wikipedia

    en.wikipedia.org/wiki/Interstitial_site

    A close packed unit cell, both face-centered cubic and hexagonal close packed, can form two different shaped holes. Looking at the three green spheres in the hexagonal packing illustration at the top of the page, they form a triangle-shaped hole. If an atom is arranged on top of this triangular hole it forms a tetrahedral interstitial hole.

  4. 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.

  5. Cubic crystal system - Wikipedia

    en.wikipedia.org/wiki/Cubic_crystal_system

    A network model of a primitive cubic system The primitive and cubic close-packed (also known as face-centered cubic) unit cells. In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube. This is one of the most common and simplest shapes found in crystals and minerals.

  6. Hexagonal crystal family - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_crystal_family

    In either case, there are 3 lattice points per unit cell in total and the lattice is non-primitive. The Bravais lattices in the hexagonal crystal family can also be described by rhombohedral axes. [4] The unit cell is a rhombohedron (which gives the name for the rhombohedral lattice). This is a unit cell with parameters a = b = c; α = β = γ ...

  7. Slip (materials science) - Wikipedia

    en.wikipedia.org/wiki/Slip_(materials_science)

    Unit cell of an fcc material. Lattice configuration of the close packed slip plane in an fcc material. The arrow represents the Burgers vector in this dislocation glide system. Slip in face centered cubic (fcc) crystals occurs along the close packed plane. Specifically, the slip plane is of type , and the direction is of type < 1 10>.

  8. Frank–Kasper phases - Wikipedia

    en.wikipedia.org/wiki/Frank–Kasper_phases

    Projection of unit cell of sigma phase with CrFe structure along c axis Unit cell of μ phase with W 6 Fe 7 structure projected along c-axis. Topologically close pack ( TCP ) phases , also known as Frank-Kasper (FK) phases , are one of the largest groups of intermetallic compounds, known for their complex crystallographic structure and physical ...

  9. Unit cell - Wikipedia

    en.wikipedia.org/wiki/Unit_cell

    A primitive cell is a unit cell that contains exactly one lattice point. For unit cells generally, lattice points that are shared by n cells are counted as ⁠ 1 / n ⁠ of the lattice points contained in each of those cells; so for example a primitive unit cell in three dimensions which has lattice points only at its eight vertices is considered to contain ⁠ 1 / 8 ⁠ of each of them. [3]