Efficient determination and characterization of transition states using ab-initio methods

Abstract The gradient of the potential energy with respect to nuclear coordinates has been calculated using ab-initio single determinant molecular orbital methods. The calculated gradient is used together with very efficient minimization methods to locate and characterize transition states on many-dimensional potential energy surfaces. Previously such methods have only been applied to semi-empirical potential functions. Although the calculation of the gradient in addition to the energy increases the computational time by about a factor of four, we have demonstrated the feasibility of these calculations by locating the transition state for the model rearrangement of HNC to HCN using both minimal (STO-3G) and split valence shell (4-31G) basis sets. Further use of such methods in the direct application of ab-initio wavefunctions to dynamical investigations is discussed.

[1]  J. Polanyi Concepts in reaction dynamics , 1972 .

[2]  A. C. Wahl,et al.  Theoretical Study of the F2 Molecule Using the Method of Optimized Valence Configurations , 1972 .

[3]  A. C. Wahl,et al.  Extended Hartree—Fock Wavefunctions: Optimized Valence Configurations for H2 and Li2, Optimized Double Configurations for F2 , 1966 .

[4]  J. Pople,et al.  Self‐Consistent Molecular‐Orbital Methods. I. Use of Gaussian Expansions of Slater‐Type Atomic Orbitals , 1969 .

[5]  J. McIver,et al.  Group theoretical selection rules for the transition states of chemical reactions , 1975 .

[6]  K. Laidler,et al.  Symmetries of activated complexes , 1968 .

[7]  Clemens C. J. Roothaan,et al.  New Developments in Molecular Orbital Theory , 1951 .

[8]  A. Komornicki,et al.  Rapid geometry optimization for semi-empirical molecular orbital methods , 1971 .

[9]  Ian M. Mills,et al.  Force Constants and Dipole-Moment Derivatives of Molecules from Perturbed Hartree-Fock Calculations. I , 1968 .

[10]  James W. McIver,et al.  Structure of transition states in organic reactions. II. MINDO [modified intermediate neglect of differential overlap]/2 study of the cyclohexane inversion , 1973 .

[11]  R. K. Nesbet,et al.  Self‐Consistent Orbitals for Radicals , 1954 .

[12]  A. Komornicki,et al.  Structure of transition states. III. MINDO/2 study of the cyclization of 1,3,5-hexatriene to 1,3-cyclohexadiene , 1974 .

[13]  R. Moccia Optimization of the basis functions in SCF MO calculations optimized one-center SCF MO basis set for HCL , 1967 .

[14]  Bruce A. Murtagh,et al.  Computational Experience with Quadratically Convergent Minimisation Methods , 1970, Comput. J..

[15]  J. W. McIver Structure of transition states. Are they symmetric , 1974 .

[16]  Roger Fletcher,et al.  A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..

[17]  R. Fletcher,et al.  Optimization of SCF LCAO wave functions , 1970 .

[18]  P. K. Pearson,et al.  Potential energy surface for the model unimolecular reaction HNC → HCN , 1975 .

[19]  J. Pople,et al.  Approximate Self‐Consistent Molecular Orbital Theory. III. CNDO Results for AB2 and AB3 Systems , 1966 .

[20]  J. Pople,et al.  Self‐Consistent Molecular‐Orbital Methods. IX. An Extended Gaussian‐Type Basis for Molecular‐Orbital Studies of Organic Molecules , 1971 .

[21]  H. Schlegel,et al.  Ab initio computation of force constants. The second and third period hydrides , 1975 .

[22]  M. Kumanova First and second derivatives of the eigenvalues of the hamiltonian , 1972 .

[23]  James W. McIver,et al.  Structure of transition states in organic reactions. General theory and an application to the cyclobutene-butadiene isomerization using a semiempirical molecular orbital method , 1972 .

[24]  P. Pulay Ab initio calculation of force constants and equilibrium geometries , 1971 .

[25]  J. B. Collins,et al.  Self‐consistent molecular orbital methods. XVII. Geometries and binding energies of second‐row molecules. A comparison of three basis sets , 1976 .

[26]  M. J. D. Powell,et al.  A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives , 1965, Comput. J..

[27]  Michael J. S. Dewar,et al.  Ground states of molecules. XXV. MINDO/3. Improved version of the MINDO semiempirical SCF-MO method , 1975 .