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  2. State Plane Coordinate System - Wikipedia

    en.wikipedia.org/wiki/State_Plane_Coordinate_System

    The State Plane Coordinate System (SPCS) is a set of 125 geographic zones or coordinate systems designed for specific regions of the United States. Each U.S. state contains one or more state plane zones, the boundaries of which usually follow county lines. There are 108 zones in the contiguous United States, with 10 more in Alaska, five in ...

  3. Crystal structure - Wikipedia

    en.wikipedia.org/wiki/Crystal_structure

    Crystal structure of table salt (sodium in purple, chlorine in green) In crystallography, crystal structure is a description of ordered arrangement of atoms, ions, or molecules in a crystalline material. [1] Ordered structures occur from intrinsic nature of constituent particles to form symmetric patterns that repeat along the principal ...

  4. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    This is the convention followed in this article. In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a given point in space is specified by three real numbers: the radial distance r along the radial line connecting the point to the fixed point of origin; the polar angle θ ...

  5. Fractional coordinates - Wikipedia

    en.wikipedia.org/wiki/Fractional_coordinates

    In crystallography, a fractional coordinate system (crystal coordinate system) is a coordinate system in which basis vectors used to the describe the space are the lattice vectors of a crystal (periodic) pattern. The selection of an origin and a basis define a unit cell, a parallelotope (i.e., generalization of a parallelogram (2D) or ...

  6. Transition state theory - Wikipedia

    en.wikipedia.org/wiki/Transition_state_theory

    Since this choice is a human construct, based on our definitions of units for molar quantity and volume, the magnitude and sign of ΔS ‡ for a single reaction is meaningless by itself; only comparisons of the value with that of a reference reaction of "known" (or assumed) mechanism, made at the same standard state, is valid. [17]

  7. Miller index - Wikipedia

    en.wikipedia.org/wiki/Miller_index

    Miller indices form a notation system in crystallography for lattice planes in crystal (Bravais) lattices. In particular, a family of lattice planes of a given (direct) Bravais lattice is determined by three integers h, k, and ℓ, the Miller indices. They are written (hkℓ), and denote the family of (parallel) lattice planes (of the given ...

  8. Crystallography - Wikipedia

    en.wikipedia.org/wiki/Crystallography

    Crystallography. A crystalline solid: atomic resolution image of strontium titanate. Brighter spots are columns of strontium atoms and darker ones are titanium - oxygen columns. Crystallography is the branch of science devoted to the study of molecular and crystalline structure and properties. [1] The word crystallography is derived from the ...

  9. Wyckoff positions - Wikipedia

    en.wikipedia.org/wiki/Wyckoff_positions

    The Wyckoff positions are designated by a letter, often preceded by the number of positions that are equivalent to a given position with that letter, in other words the number of positions in the unit cell to which the given position is moved by applying all the elements of the space group. For instance, 2a designates the positions left where ...