A comparative quantum mechanical study of bond separation energies as a measure of cyclic conjugation

Restricted Hartree‐Fock (RHF), second‐order Møller‐Plesset (MP2), and density functional calculations [using the Becke/Lee‐Yang‐Parr (B‐LYP) exchange/correlation gradient‐corrected functionals] employing the 6‐311G(d, p) and 6‐311 + + G(d, p) basis sets have been carried out to calculate isodesmic bond separation energies for reactions involving a number of representative five‐ and six‐membered ring organic compounds. The MP2 and density functional approaches yield reasonably good energies; the density functional method agrees particularly well with experiment, exhibiting a root‐mean‐square error of only 2.5 kcal/mol. Ring geometries are calculated satisfactorily in all approaches but are given particularly accurately by the MP2 approach. A comparison of the B‐LYP bond separation energies with several other definitions of resonance energy shows that these different approaches correlate with each other in a reasonable fashion. © 1995 John Wiley & Sons, Inc.

[1]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[2]  Benny G. Johnson,et al.  The performance of a family of density functional methods , 1993 .

[3]  Paolo Lazzeretti,et al.  IGLO STUDY OF BENZENE AND SOME OF ITS ISOMERS AND RELATED MOLECULES. SEARCH FOR EVIDENCE OF THE RING CURRENT MODEL , 1994 .

[4]  Michael J. Frisch,et al.  The performance of the Becke-Lee-Yang-Parr (B-LYP) density functional theory with various basis sets , 1992 .

[5]  J. Béry Structure électronique du formaldéhyde et de l'ion formiate , 1967 .

[6]  Eamonn F. Healy,et al.  Development and use of quantum mechanical molecular models. 76. AM1: a new general purpose quantum mechanical molecular model , 1985 .

[7]  L. J. Schaad,et al.  Ab Initio Calculation of Resonance Energies. Benzene and Cyclobutadiene , 1983 .

[8]  A. Fortunelli,et al.  Density functional calculations on hydrocarbon isodesmic reactions , 1994 .

[9]  M. Gordon,et al.  Potentially aromatic metallocycles , 1988 .

[10]  C. W. Bird Heteroaromaticity. 4 The status of phosphorus and arsenic as heteroatoms , 1990 .

[11]  Clive W. Bird,et al.  The application of a new aromaticity index to six-membered ring heterocycles , 1986 .

[12]  F. Klages Über eine Verbesserung der additiven Berechnung von Verbrennungswärmen und der Berechnung der Mesomerie‐Energie aus Verbrennungswärmen , 1949 .

[13]  David L. Beveridge,et al.  Approximate molecular orbital theory , 1970 .

[14]  Alan R. Katritzky,et al.  Aromaticity as a Quantitative Concept. 1. A Statistical Demonstration of the Orthogonality of "Classical" and "Magnetic" Aromaticity in Five- and Six-Membered Heterocycles , 1989 .

[15]  Leo Radom,et al.  Molecular orbital theory of the electronic structure of organic compounds. V. Molecular theory of bond separation , 1970 .

[16]  M. Dewar,et al.  Aromatic energies of some heteroaromatic molecules , 1989 .

[17]  R. Hoffmann An Extended Hückel Theory. I. Hydrocarbons , 1963 .

[18]  Paul von Ragué Schleyer,et al.  Aromaticity and Antiaromaticity in Five‐Membered C4H4X Ring Systems: “Classical” and “Magnetic” Concepts May Not Be “Orthogonal” , 1995 .

[19]  Nicholas C. Handy,et al.  Kohn—Sham bond lengths and frequencies calculated with accurate quadrature and large basis sets , 1992 .

[20]  J. Murray,et al.  Does antiaromaticity imply net destabilization , 1994 .

[21]  L. Salem The molecular orbital theory of conjugated systems , 1966 .

[22]  G. W. Wheland,et al.  Resonance in Organic Chemistry , 1956 .

[23]  Warren J. Hehre,et al.  AB INITIO Molecular Orbital Theory , 1986 .

[24]  C. W. Bird A new aromaticity index and its application to five-membered ring heterocycles , 1985 .

[25]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.