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  2. Molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Molecular_geometry

    This constraint removes one degree of freedom from the choices of (originally) six free bond angles to leave only five choices of bond angles. (The angles θ 11 , θ 22 , θ 33 , and θ 44 are always zero and that this relationship can be modified for a different number of peripheral atoms by expanding/contracting the square matrix.)

  3. Bite angle - Wikipedia

    en.wikipedia.org/wiki/Bite_angle

    Both steric bite angle effect and the electronic bite angle effects are recognized. [7] The steric bite angle effect involves the steric interactions between ligands or between a ligand and a substrate. The electronic bite angle effect, on the other hand, relates to the electronic changes that occur when the bite angle is modified.

  4. Bent molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Bent_molecular_geometry

    AX 2 E 1 molecules, such as SnCl 2, have only one lone pair and the central angle about 120° (the centre and two vertices of an equilateral triangle). They have three sp 2 orbitals. There exist also sd-hybridised AX 2 compounds of transition metals without lone pairs: they have the central angle about 90° and are also classified as bent.

  5. Greatest common divisor - Wikipedia

    en.wikipedia.org/wiki/Greatest_common_divisor

    gcd(a,b) = p 1 min(e 1,f 1) p 2 min(e 2,f 2) ⋅⋅⋅ p m min(e m,f m). It is sometimes useful to define gcd(0, 0) = 0 and lcm(0, 0) = 0 because then the natural numbers become a complete distributive lattice with GCD as meet and LCM as join operation. [22] This extension of the definition is also compatible with the generalization for ...

  6. Ramachandran plot - Wikipedia

    en.wikipedia.org/wiki/Ramachandran_plot

    The ω angle at the peptide bond is normally 180°, since the partial-double-bond character keeps the peptide bond planar. [3] The figure in the top right shows the allowed φ,ψ backbone conformational regions from the Ramachandran et al. 1963 and 1968 hard-sphere calculations: full radius in solid outline, reduced radius in dashed, and ...

  7. VSEPR theory - Wikipedia

    en.wikipedia.org/wiki/VSEPR_theory

    Shows location of unpaired electrons, bonded atoms, and bond angles. The bond angle for water is 104.5°. Valence shell electron pair repulsion ( VSEPR ) theory ( / ˈ v ɛ s p ər , v ə ˈ s ɛ p ər / VESP -ər , [ 1 ] : 410 və- SEP -ər [ 2 ] ) is a model used in chemistry to predict the geometry of individual molecules from the number of ...

  8. Pentagonal bipyramidal molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_bipyramidal...

    The pentagonal bipyramid is a case where bond angles surrounding an atom are not identical (see also trigonal bipyramidal molecular geometry). [1] [page needed] This is one of the three common shapes for heptacoordinate transition metal complexes, along with the capped octahedron and the capped trigonal prism. [2] [3] [page needed]

  9. Chemistry - Wikipedia

    en.wikipedia.org/wiki/Chemistry

    Chemistry is the scientific study of the properties and behavior of matter. [1] It is a physical science within the natural sciences that studies the chemical elements that make up matter and compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during reactions with other substances.