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CGMT model

The Carter Goddard Malrieu-Trinquier model (CGMT model) is used to predict the geometries of multiply bonded main group elements. The model gives simple estimates of the stabilities of planar and trans bent structures. A double bonded molecule, with a sigma and a pi bond, is considered to be derived from two carbene (or carbene analog) units that have two unpaired electrons, that is they are in a triplet state. A planar structure is expected when the overall bond energy (sigma plus pi bond) is greater than that of the promotion energy of the two carbene fragments from singlet to triplet state. If the overall bond energy is less than the promotion energy of the two carbene fragments from singlet to triplet state a trans bent structure, with two dative bonds is predicted. The singlet form becomes progressively more stable than the triplet form on going down the group. The energy gained by the formation of an alkene like planar sigma and pi system becomes inceasingly unable to offset the energy required to form the triplet state from the singlet state. Expressed as follows: [1]

Esigma+pi = Edouble bond - 2ΔEsinglet→triplet

If Esigma+pi > 2ΔEsinglet→triplet , a planar structure with alkene like bonding results, if Esigma+pi < 2ΔEsinglet→triplet, a trans/bent structure with two dative bonds results, if Esigma+pi < ΔEsinglet→triplet, then there will be no bond formed.

References

Double Bonds

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