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Shape of water molecule showing that the real bond angle 104.5° deviates from the ideal sp 3 angle of 109.5°. In chemistry, Bent's rule describes and explains the relationship between the orbital hybridization and the electronegativities of substituents. [1] [2] The rule was stated by Henry A. Bent as follows: [2]
The bond angles in the table below are ideal angles from the simple VSEPR theory (pronounced "Vesper Theory") [citation needed], followed by the actual angle for the example given in the following column where this differs. For many cases, such as trigonal pyramidal and bent, the actual angle for the example differs from the ideal angle, and ...
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.
Walsh Diagram of an HAH molecule. Walsh diagrams, often called angular coordinate diagrams or correlation diagrams, are representations of calculated orbital binding energies of a molecule versus a distortion coordinate (bond angles), used for making quick predictions about the geometries of small molecules.
Another example is O(SiH 3) 2 with an Si–O–Si angle of 144.1°, which compares to the angles in Cl 2 O (110.9°), (CH 3) 2 O (111.7°), and N(CH 3) 3 (110.9°). [24] Gillespie and Robinson rationalize the Si–O–Si bond angle based on the observed ability of a ligand's lone pair to most greatly repel other electron pairs when the ligand ...
Bent bonds are found in strained organic compounds such as cyclopropane, oxirane and aziridine. 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 ...
However, this prediction (120° bond angles) is inconsistent with the bond angle of H 2 O being 104.5°. The actual hybridization of H 2 O can be explained via the concept of isovalent hybridization or Bent's rule. In short, s character is accumulated in lone pair orbitals because s character is energy lowering relative to p character, and lone ...
This angle may be calculated from the dot product of the two vectors, defined as a ⋅ b = ‖ a ‖ ‖ b ‖ cos θ where ‖ a ‖ denotes the length of vector a. As shown in the diagram, the dot product here is –1 and the length of each vector is √ 3 , so that cos θ = – 1 / 3 and the tetrahedral bond angle θ = arccos ...