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606. AMSOL: An SCF Program Incorporating Free Energies in Aqueous Solution and Semiempirical Charge Models (Version 5.0)

by Christopher J. Cramer,a Gregory D. Hawkins,a Gillian C. Lynch,a David J. Giesen,a Ivan Rossi,a Joey W. Storer,a Donald G. Truhlar,a and Daniel A. Liotardb aDepartment of Chemistry, University of Minnesota, Minneapolis, MN 55455 bLaboratoire de Physicochemie Théorique, Universite de Bordeaux, France (based on ampac+version 2.1 by D. A. Liotard, E. F. Healy, J. M. Ruiz, and M. J. S. Dewar and including options from gepol by E. Silla, I. Tuñon, and J. L. Pascual-Ahuir and from EF by Frank Jensen)

amsol is a semiempirical quantum chemistry program that includes the MINDO/3, MNDO, AM1 and PM3 Hamiltonians, the CM1A and CM1P class IV charge models for calculating partial atomic charges, SM1+SM3.1 solvation models for calculating free energies of solvation in water, and the SM4 solvation model for calculating free energies of solvation in alkanes. Geometry optimization is possible in both the gas phase and solution.

Solvation effects are included via two terms. The first accounts for electrostatic polarization of the solvent by the generalized Born approximation based on a distributed monopole representation of the solute charges with dielectric screening. Solute polarization is also included self-consistently. The second term is proportional to the solvent-accessible surface area, with a set of proportionality constants (surface tensions) which depend on the local nature of the solute for each atom or group's interface with the solvent. This version of amsol contains the AM1-SM1, AM1-SM1a, AM1-SM2, AM1-SM2.1, PM3-SM3, and PM3- SM3.1 parameter sets for water and the SM4 set for alkanes. The latter may be used with either AM1 or PM3. Parameters are available for H, C, N, O, F, P, S, Cl, Br, and I in all aqueous solvation models and for all these atom types except P in the alkane models.

Upon request amsol can calculate Charge Model 1 (CM1) partial charges during gas-phase calculations and SM4 solution phase calculations. CM1 charges are a semiempirical mapping of the NDDO Mulliken population analysis charges such that the CM1 charges more accurately reproduce experimental gas-phase dipole moments and high level ab initio partial charges. This version of amsol contains the CM1A and CM1P models, which are specific to the AM1 and PM3 Hamiltonians, respectively

The main enhancement in version 5.0 is the inclusion of the AM1-SM4 and PM3-SM4 solvation models for alkanes. These models use class IV charges and can calculate the free energy of solvation for any alkane [including, e.g., n- hexadecane for pharmaceutical modeling, n-hexane, cyclohexane, and iso-octane (2,2,4-trimethylpentane)] . The mean unsigned error for these models is 0.34 kcal/mol for AM1-SM4 and 0.33 kcal/mol for PM3-SM4, as measured against 506 solute/solvent pairs used in the parameterization.

Two other enhancements in amsol+version 5.0 are related to geometry optimization. First of all, amsol incorporates the eigenvector following (EF) algorithm, based on code written originally by Frank Jensen. EF is an efficient optimizer with many useful options, and it is especially well suited for finding saddle points. Second, we have introduced a new keyword, called KICK, that greatly reduces the number of calculations terminating with the familiar message "line minimization failed twice in a row." Who should upgrade to version 5.0 for solvation-phase calculations?

ä Persons using versions earlier than 3.5 who wish to take advantage of the increased speed of versions 3.5 and later. Versions 3.5 and 4.0 are respectively factors of about 3 and 20 faster than version 3.0.1 for aqueous phase calculations at the same precision on Unix workstations.

ä Persons having versions earlier than 4.1 who make frequent use of the AM1-SM2 aqueous-phase model for large molecules because the AM1-SM2.1 model in versions 4.1 and later provides similar quality results but allows for faster, variable-precision calculations for exploratory work.

ä Persons having versions of amsol prior to 4.6

* who make frequent use of the PM3-SM3 aqueous- phase model because the PM3-SM3.1 model in version 4.6 and later provides similar quality results but allows for faster, variable-precision calculations for exploratory work

* who wish to use the improved "restart" options

* who wish to use the MULLIK keyword (Mulliken analysis in a de-orthogonalized basis) ä Persons having versions of amsol prior to 5.0

* who wish to calculate solvation free energies or class IV partial charges in alkanes using the new AM1-SM4 and PM3-SM4 models

* who wish to take advantage of the improved convergence properties of the EF algorithm for transition states

* who wish to use the new KICK keyword in version 5.0 that eliminates most error terminations associated with failure of line minimizations

In addition to these features for solution-phase calculations we note that amsol can also perform gas-phase calculations, that it is a very portable code in Unix environments, and that it has an extensive test suite. In addition, versions 4.5 and later include class IV partial charges for isolated (i.e., gas-phase) molecules. The class IV partial charges in versions 4.5 and later are more accurate than HF/6-31G* electrostatic fitting (ChelpG or other methods) charges, but the cost is essentially identical to AM1 or PM3 Mulliken charges, i.e., very much smaller than the cost of HF/6-31G*-ChelpG charges. For these reasons, amsol may be the semiempirical package of choice even for some applications that do not take advantage of its solution-phase capabilities.

The solvation and charge models are described further in the following references:

AM1-SM1 and AM1-SM1a: "General Parameterized SCF Model for Free Energies of Solvation in Aqueous Solution," C. J. Cramer and D. G. Truhlar, Journal of the American Chemical Society 113, 8305-8311, 9901(E) (1991).

AM1-SM2: "An SCF Solvation Model for the Hydrophobic Effect and Absolute Free Energies of Aqueous Solvation," C. J. Cramer and D. G. Truhlar, Science 256, 213-217 (1992).

PM3-SM3: "PM3-SM3: A General Parameterization for Including Aqueous Solvation Effects in the PM3 Molecular Orbital Model," C. J. Cramer and D. G. Truhlar, Journal of Computational Chemistry 13, 1089+1097 (1992). overview: "AM1-SM2 and PM3-SM3 Parameterized SCF Solvation Models for Free Energies in Aqueous Solution," C. J. Cramer and D. G. Truhlar, Journal of Computer-Aided Molecular Design 6, 629+666 (1992).

ASA algorithm and other computational improvements introduced in versions 4.0 and 4.1: "Improved Methods for Semiempirical Solvation Models," D. A. Liotard, G. D. Hawkins, G. C. Lynch, C. J. Cramer, and D. G. Truhlar, Journal of Computational Chemistry, in press. Preprints are available from Research Reports Coordinator, Supercomputer Institute, 1200 Washington Avenue South, Minneapolis, MN 55415; request UMSI preprint number 94/143.

CM1A and CM1P: "Class IV Charge Models: A New Semiempirical Approach in Quantum Chemistry," J. W. Storer, D. J. Giesen, C. J. Cramer, and D. G. Truhlar, Journal of Computer-Aided Molecular Design, in press. Preprints are available from Research Reports Coordinator, address above; request UMSI preprint number 94/144.

first paper on SM4 alkane models: "A General Semiempirical Quantum Mechanical Solvation Model for Nonpolar Solvation Energies. n-Hexadecane," D. J. Giesen, J. W. Storer, C. J. Cramer, and D. G. Truhlar, Journal of the American Chemical Society 117, 1057+1068 (1995).

amsol-version 5.0 has been tested on Cray C90, Cray-2, DEC 3000/500X AXP, IBM RS/6000, IRIS Indigo R4000, and Sun SPARCStation computers running the Unix operating system. The code is distributed as a tar file containing 205 files, including FORTRAN source code and C shell scripts for compiling and linking, for interactive job submission, and for submitting batch jobs under the NQS queuing system. The distribution also includes a brief on-line manual (ASCII documentation file), a Postscript version of an ampac+version 2.1 documentation file, and a 75-run test suite.

_______ FORTRAN 77 with INCLUDE extension Lines of FORTRAN code: 37,992 Total length of distribution files, including FORTRAN code, optional C timing utility, Unix scripts, test suite, and documentation files: 80,711 lines



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