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410. BIGSTRN-2: Empirical Force-Field Calculation

by Daniel J. Iverson and Kurt Mislow, Department of Chemistry, Princeton University, Princeton, New Jersey 08540

Program BIGSTRN-2 performs geometry optimizations of organic molecules (up to 100 atoms), modeled by the empirical force-field technique. Analytical derivatives of the energy with respect to Cartesian coordinates are used in steepest descent and variable metric1 minimization procedures, thus yielding a strict mathematical criterion for the detection of extrema on the energy hypersurface.2 Second derivative information, approximated during the variable metric minimization, may be used in standard matrix diagonalization packages to determine the eigenvalues and eigenvectors.For a discussion of other information obtainable from the first and second derivatives, see reference 2.

In addition, BIGSTRN-2 contains all the features of its predecessor (BIGSTRN, QCPE 348), including corrections to a number of program deficiencies present in BIGSTRN. These common features include a choice of five force fields, programmed using parameters and equations reported in the literature. The default force field is based on the alkane parameters of Allinger,3 extended to include alkenes,4 arenes,5 carbonyls,6 silanes,7 and polysilanes.8 The other available force fields are (a) Engler-Andose-Schleyer9; (b) Bartell's MUB-210; (c) Allinger 1973 (MMI)11; and (d) Allinger 1977 (MM2)12. Additional features include the ability (a) to define new parameters at runtime (NOTE: If not parameterized for a particular interaction, a message to that effect is returned--with the exception of biphenyl interactions, which are not handled correctly.); (b) to freeze torsion angles at specified values; (c) to couple the rotation of up to ten (10) groups; (d) to freeze Cartesian coordinates; and (e) to perform rigid rotations.

Program SCOORD-2 will transform internal coordinates (bond lengths, bond angles, and torsion (dihedral) angles) to Cartesian coordinates in a format suitable for BIGSTRN-2. _________

References: 1. B. A. Murtagh and T.W.H. Sargent, Comput. J., 13, 185 (1970). 2. O. Ermer, Struct. Bond., 27, 161 (1976); R. L. Hilderbrandt, Computers & Chemistry, 1, 179 (1977). 3. N. L. Allinger, M. T. Tribble, M. A. Miller, and D. W. Wertz, J. Am. Chem. Soc., 94, 5734 (1972). 4. N. L. Allinger and J. T. Sprague, J. Am. Chem. Soc., 94, 5734 (1972). 5. J. D. Andose and K. Mislow, J. Am. Chem. Soc., 96, 2168 (1974). 6. N. L. Allinger, M. T. Tribble, and M. A. Miller, Tetrahedron, 28, 1173 (1972). 7. M. T. Tribble and N. L. Allinger, Tetrahedron, 28, 2147 (1972). 8. J. P. Hummel, J. Stackhouse, and K. Mislow, Tetrahedron, 33, 1925 (1977). 9. E. M. Engler, J. D. Andose, and P. v. R. Schleyer, J. Am. Chem. Soc., 95, 8005 (1973). 10. S. Fitzwater and L. S. Bartell, J. Am. Chem. Soc., 93, 5107 (1976); L. S. Bartell, J. Am. Chem. Soc., 99, 3279 (1977). 11. N. L. Allinger, Adv. Phys. Org. Chem., 13, 1 (1976); N. L. Allinger, et al., QCPE 11, 318 (1976). 12. N. L. Allinger, J. Am. Chem. Soc., 99, 8127 (1977). _________

FORTRAN IV (IBM H or H Extended Compiler Only) Lines of Code: 8600 Recommended Citation: D. J. Iverson and K. Mislow, QCPE 13, 410 (1981).



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