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  2. Crystal system - Wikipedia

    en.wikipedia.org/wiki/Crystal_system

    The diamond crystal structure belongs to the face-centered cubic lattice, with a repeated two-atom pattern.. In crystallography, a crystal system is a set of point groups (a group of geometric symmetries with at least one fixed point).

  3. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The central angle between any two vertices of a perfect tetrahedron is arccos(− ⁠ 1 / 3 ⁠), or approximately 109.47°. [39] Water, H 2 O, also has a tetrahedral structure, with two hydrogen atoms and two lone pairs of electrons around the central oxygen atoms. Its tetrahedral symmetry is not perfect, however, because the lone pairs repel ...

  4. Crystal structure - Wikipedia

    en.wikipedia.org/wiki/Crystal_structure

    Octahedral (red) and tetrahedral (blue) interstitial sites in a face-centered cubic lattice. Interstitial sites refer to the empty spaces in between the atoms in the crystal lattice. These spaces can be filled by oppositely charged ions to form multi-element structures.

  5. Coordination geometry - Wikipedia

    en.wikipedia.org/wiki/Coordination_geometry

    Other common coordination geometries are tetrahedral and square planar. Crystal field theory may be used to explain the relative stabilities of transition metal compounds of different coordination geometry, as well as the presence or absence of paramagnetism , whereas VSEPR may be used for complexes of main group element to predict geometry.

  6. Tetragonal crystal system - Wikipedia

    en.wikipedia.org/wiki/Tetragonal_crystal_system

    In crystallography, the tetragonal crystal system is one of the 7 crystal systems. Tetragonal crystal lattices result from stretching a cubic lattice along one of its lattice vectors, so that the cube becomes a rectangular prism with a square base ( a by a ) and height ( c , which is different from a ).

  7. Spinel group - Wikipedia

    en.wikipedia.org/wiki/Spinel_group

    The spinels are any of a class of minerals of general formulation AB 2 X 4 which crystallise in the cubic (isometric) crystal system, with the X anions (typically chalcogens, like oxygen and sulfur) arranged in a cubic close-packed lattice and the cations A and B occupying some or all of the octahedral and tetrahedral sites in the lattice.

  8. Hexagonal crystal family - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_crystal_family

    In the hexagonal family, the crystal is conventionally described by a right rhombic prism unit cell with two equal axes (a by a), an included angle of 120° (γ) and a height (c, which can be different from a) perpendicular to the two base axes.

  9. Crystal field theory - Wikipedia

    en.wikipedia.org/wiki/Crystal_field_theory

    In a tetrahedral crystal field splitting, the d-orbitals again split into two groups, with an energy difference of Δ tet. The lower energy orbitals will be d z 2 and d x 2 - y 2 , and the higher energy orbitals will be d xy , d xz and d yz - opposite to the octahedral case.