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  2. Orbital hybridisation - Wikipedia

    en.wikipedia.org/wiki/Orbital_hybridisation

    Chemist Linus Pauling first developed the hybridisation theory in 1931 to explain the structure of simple molecules such as methane (CH 4) using atomic orbitals. [2] Pauling pointed out that a carbon atom forms four bonds by using one s and three p orbitals, so that "it might be inferred" that a carbon atom would form three bonds at right angles (using p orbitals) and a fourth weaker bond ...

  3. Bent's rule - Wikipedia

    en.wikipedia.org/wiki/Bent's_rule

    Bent's rule can be extended to rationalize the hybridization of nonbonding orbitals as well. On the one hand, a lone pair (an occupied nonbonding orbital) can be thought of as the limiting case of an electropositive substituent, with electron density completely polarized towards the central atom.

  4. Replica trick - Wikipedia

    en.wikipedia.org/wiki/Replica_trick

    The replica trick postulates that if can be calculated for all positive integers then this may be sufficient to allow the limiting behavior as to be calculated. Clearly, such an argument poses many mathematical questions, and the resulting formalism for performing the limit n → 0 {\displaystyle n\to 0} typically introduces many subtleties.

  5. Isovalent hybridization - Wikipedia

    en.wikipedia.org/wiki/Isovalent_hybridization

    In chemistry, isovalent or second order hybridization is an extension of orbital hybridization, the mixing of atomic orbitals into hybrid orbitals which can form chemical bonds, to include fractional numbers of atomic orbitals of each type (s, p, d). It allows for a quantitative depiction of bond formation when the molecular geometry deviates ...

  6. Bent bond - Wikipedia

    en.wikipedia.org/wiki/Bent_bond

    In these compounds, it is not possible for the carbon atoms to assume the 109.5° bond angles with standard sp 3 hybridization. Increasing the p-character to sp 5 (i.e. 1 ⁄ 6 s-density and 5 ⁄ 6 p-density) [5] makes it possible to reduce the bond angles to 60°. At the same time, the carbon-to-hydrogen bonds gain more s-character, which ...

  7. Chemical bonding of water - Wikipedia

    en.wikipedia.org/wiki/Chemical_bonding_of_water

    Isovalent hybridization is used to explain bond angles of those molecules that is inconsistent with the generalized simple sp, sp 2 and sp 3 hybridization. For molecules containing lone pairs, the true hybridization of these molecules depends on the amount of s and p characters of the central atom which is related to its electronegativity.

  8. Sigma bond - Wikipedia

    en.wikipedia.org/wiki/Sigma_bond

    The extent of this mixing (or hybridization or blending) depends on the relative energies of the MOs of like symmetry. 1sσ* antibonding molecular orbital in H 2 with nodal plane For homodiatomics ( homonuclear diatomic molecules), bonding σ orbitals have no nodal planes at which the wavefunction is zero, either between the bonded atoms or ...

  9. Orbital overlap - Wikipedia

    en.wikipedia.org/wiki/Orbital_overlap

    Linus Pauling explained the importance of orbital overlap in the molecular bond angles observed through experimentation; it is the basis for orbital hybridization. As s orbitals are spherical (and have no directionality) and p orbitals are oriented 90° to each other, a theory was needed to explain why molecules such as methane (CH 4 ) had ...