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  2. Kikuchi lines (physics) - Wikipedia

    en.wikipedia.org/wiki/Kikuchi_lines_(physics)

    The geometry of lattice-fringe visibility therefore becomes useful in the electron microscope study of nanomaterials, [10] [11] just as bend contours and Kikuchi lines are useful in the study of single crystal specimens (e.g. metals and semiconductor specimens with thickness in the tenth-micrometre range).

  3. VSEPR theory - Wikipedia

    en.wikipedia.org/wiki/VSEPR_theory

    [1]: 416 The geometry of the central atoms and their non-bonding electron pairs in turn determine the geometry of the larger whole molecule. The number of electron pairs in the valence shell of a central atom is determined after drawing the Lewis structure of the molecule, and expanding it to show all bonding groups and lone pairs of electrons.

  4. Line–line intersection - Wikipedia

    en.wikipedia.org/wiki/Line–line_intersection

    Two intersecting lines. In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or another line. Distinguishing these cases and finding the intersection have uses, for example, in computer graphics, motion planning, and collision detection.

  5. Linnett double-quartet theory - Wikipedia

    en.wikipedia.org/wiki/Linnett_Double-Quartet_Theory

    The nuclei are as indicated and the electrons are denoted by either dots or crosses, depending on their relative spins. The electrons in non-coincident pairs are shown using thin lines and the coincident electron pairs are shown using thick lines. (b) The ELF for the ClF 3 molecule generated using an η=0.700 value for the isosurfaces. The ...

  6. Electron pair - Wikipedia

    en.wikipedia.org/wiki/Electron_pair

    Gilbert N. Lewis introduced the concepts of both the electron pair and the covalent bond in a landmark paper he published in 1916. [1] [2] MO diagrams depicting covalent (left) and polar covalent (right) bonding in a diatomic molecule. In both cases a bond is created by the formation of an electron pair.

  7. Square planar molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Square_planar_molecular...

    Representative d-orbital splitting diagrams for square planar complexes featuring σ-donor (left) and σ+π-donor (right) ligands. A general d-orbital splitting diagram for square planar (D 4h) transition metal complexes can be derived from the general octahedral (O h) splitting diagram, in which the d z 2 and the d x 2 −y 2 orbitals are degenerate and higher in energy than the degenerate ...

  8. Feynman diagram - Wikipedia

    en.wikipedia.org/wiki/Feynman_diagram

    Electron in the initial state is represented by a solid line, with an arrow indicating the spin of the particle e.g. pointing toward the vertex (→•). Electron in the final state is represented by a line, with an arrow indicating the spin of the particle e.g. pointing away from the vertex: (•→).

  9. Trigonal pyramidal molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Trigonal_pyramidal...

    This would result in the geometry of a regular tetrahedron with each bond angle equal to arccos(− ⁠ 1 / 3 ⁠) ≈ 109.5°. However, the three hydrogen atoms are repelled by the electron lone pair in a way that the geometry is distorted to a trigonal pyramid (regular 3-sided pyramid) with bond angles of 107°.