Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 17,843

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Universal Solvation Model Based on Solute Electron Density and on a Continuum Model of the Solvent Defined by the Bulk Dielectric Constant and Atomic Surface Tensions

Open access
Marenich, Aleksandr V., Cramer, Christopher J., Truhlar, Donald G.·2009·The Journal of Physical Chemistry B

Abstract

We present a new continuum solvation model based on the quantum mechanical charge density of a solute molecule interacting with a continuum description of the solvent. The model is called SMD, where the "D" stands for "density" to denote that the full solute electron density is used without defining partial atomic charges. "Continuum" denotes that the solvent is not represented explicitly but rather as a dielectric medium with surface tension at the solute-solvent boundary. SMD is a universal solvation model, where "universal" denotes its applicability to any charged or uncharged solute in any solvent or liquid medium for which a few key descriptors are known (in particular, dielectric constant, refractive index, bulk surface tension, and acidity and basicity parameters). The model separates the observable solvation free energy into two main components. The first component is the bulk electrostatic contribution arising from a self-consistent reaction field treatment that involves the solution of the nonhomogeneous Poisson equation for electrostatics in terms of the integral-equation-formalism polarizable continuum model (IEF-PCM). The cavities for the bulk electrostatic calculation are defined by superpositions of nuclear-centered spheres. The second component is called the cavity-dispersion-solvent-structure term and is the contribution arising from short-range interactions between the solute and solvent molecules in the first solvation shell. This contribution is a sum of terms that are proportional (with geometry-dependent proportionality constants called atomic surface tensions) to the solvent-accessible surface areas of the individual atoms of the solute. The SMD model has been parametrized with a training set of 2821 solvation data including 112 aqueous ionic solvation free energies, 220 solvation free energies for 166 ions in acetonitrile, methanol, and dimethyl sulfoxide, 2346 solvation free energies for 318 neutral solutes in 91 solvents (90 nonaqueous organic solvents and water), and 143 transfer free energies for 93 neutral solutes between water and 15 organic solvents. The elements present in the solutes are H, C, N, O, F, Si, P, S, Cl, and Br. The SMD model employs a single set of parameters (intrinsic atomic Coulomb radii and atomic surface tension coefficients) optimized over six electronic structure methods: M05-2X/MIDI!6D, M05-2X/6-31G, M05-2X/6-31+G, M05-2X/cc-pVTZ, B3LYP/6-31G, and HF/6-31G. Although the SMD model has been parametrized using the IEF-PCM protocol for bulk electrostatics, it may also be employed with other algorithms for solving the nonhomogeneous Poisson equation for continuum solvation calculations in which the solute is represented by its electron density in real space. This includes, for example, the conductor-like screening algorithm. With the 6-31G basis set, the SMD model achieves mean unsigned errors of 0.6-1.0 kcal/mol in the solvation free energies of tested neutrals and mean unsigned errors of 4 kcal/mol on average for ions with either Gaussian03 or GAMESS.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1021/jp810292n

Cites

2 of 2 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 2 references

Research works printed but not linked: 134

  1. Politzer, 1981, Chemical Applications of Atomic and Molecular Electrostatic Potentials, 10.1007/978-1-4757-9634-6 · DOI · Paper page
  2. Miertuš, 1981, Chem. Phys., 55, 117, 10.1016/0301-0104(81)85090-2 · DOI · Paper page
  3. Miertuš, 1982, Chem. Phys., 65, 239, 10.1016/0301-0104(82)85072-6 · DOI · Paper page
  4. Cancès, 1997, J. Chem. Phys., 107, 3032, 10.1063/1.474659 · DOI · Paper page
  5. Mennucci, 1997, J. Chem. Phys., 106, 5151, 10.1063/1.473558 · DOI · Paper page
  6. Mennucci, 1997, J. Phys. Chem. B, 101, 10506, 10.1021/jp971959k · DOI · Paper page
  7. Tomasi, 1999, J. Mol. Struct. (Theochem), 464, 211, 10.1016/S0166-1280(98)00553-3 · DOI · Paper page
  8. Cossi, 1996, Chem. Phys. Lett., 255, 327, 10.1016/0009-2614(96)00349-1 · DOI · Paper page
  9. Klamt, 1993, J. Chem. Soc., Perkin Trans. 2, 799
  10. Truong, 1995, Chem. Phys. Lett., 240, 253, 10.1016/0009-2614(95)00541-B · DOI · Paper page
  11. Baldridge, 1997, J. Chem. Phys., 106, 6622, 10.1063/1.473662 · DOI
  12. Barone, 1998, J. Phys. Chem. A, 102, 1995, 10.1021/jp9716997 · DOI · Paper page
  13. Cossi, 2003, J. Comput. Chem., 24, 669, 10.1002/jcc.10189 · DOI · Paper page
  14. Gregerson, 2003, Helv. Chim. Acta, 86, 4112, 10.1002/hlca.200390340 · doi:10.1002/hlca.200390340
  15. Ginovska, 2008, J. Phys. Chem. A, 112, 10604, 10.1021/jp804092v · doi:10.1021/jp804092v
  16. Cancès, 2001, J. Chem. Phys., 114, 4744, 10.1063/1.1349091 · DOI · Paper page
  17. Chipman, 2000, J. Chem. Phys., 112, 5558, 10.1063/1.481133 · DOI · Paper page
  18. Kirkwood, 1934, J. Chem. Phys., 2, 351, 10.1063/1.1749489 · DOI · Paper page
  19. Foresman, 1996, J. Phys. Chem., 100, 16098, 10.1021/jp960488j · DOI · Paper page
  20. Rivail, 1996, In, 139, 10.1142/9789812830364_0004 · doi:10.1142/9789812830364_0004
  21. Hoijtink, 1956, Recl. Trav. Chim. Pays-Bas Belg., 75, 487, 10.1002/recl.19560750502 · DOI
  22. Peradejordi, 1963, Cahiers Phys., 17, 393
  23. Jano, 1965, C. R. Acad. Sci., 261, 103
  24. Tapia, 1981, Quantum Theory of Chemical Reactions, 25
  25. Tucker, 1989, Chem. Phys. Lett., 157, 164, 10.1016/0009-2614(89)87227-6 · DOI
  26. Still, 1990, J. Am. Chem. Soc., 112, 6127, 10.1021/ja00172a038 · DOI · Paper page
  27. Cramer, 1991, J. Am. Chem. Soc., 113, 8305, 10.1021/ja00022a017 · DOI · Paper page
  28. Tomasi, 1994, Chem. Rev., 94, 2027, 10.1021/cr00031a013 · DOI · Paper page
  29. Cramer, 1999, Chem. Rev., 99, 2161, 10.1021/cr960149m · DOI · Paper page
  30. Tomasi, 2005, Chem. Rev., 105, 2999, 10.1021/cr9904009 · DOI · Paper page
  31. Marenich, 2008, J. Chem. Theory Comput., 4, 877, 10.1021/ct800029c · doi:10.1021/ct800029c
  32. Stone, 1988, J. Phys. Chem., 92, 3325, 10.1021/j100323a006 · doi:10.1021/j100323a006
  33. Tschampel, 2007, J. Chem. Theory Comput., 3, 1721, 10.1021/ct700046j · doi:10.1021/ct700046j
  34. Grycuk, 2003, J. Chem. Phys., 119, 4817, 10.1063/1.1595641 · doi:10.1063/1.1595641
  35. Storer, 1995, J. Comput.-Aided Mol. Des., 9, 87, 10.1007/BF00117280 · DOI · Paper page
  36. Marenich, 2007, J. Chem. Theory Comput., 3, 2055, 10.1021/ct7001539 · doi:10.1021/ct7001539
  37. Kelly, 2006, J. Phys. Chem. B, 110, 16066, 10.1021/jp063552y · DOI · Paper page
  38. Pethica, 2007, Phys. Chem. Chem. Phys., 9, 6253, 10.1039/b706153f · doi:10.1039/b706153f
  39. Smith, 1994, J. Phys. Chem., 98, 13735, 10.1021/j100102a046 · doi:10.1021/j100102a046
  40. Boresch, 1994, Proteins: Struct., Funct., Genet., 20, 25, 10.1002/prot.340200105 · doi:10.1002/prot.340200105
  41. Cramer, 2006, Trends and Perspectives in Modern Computational Science, 112, 10.1201/b12251-8 · doi:10.1201/b12251-8
  42. Marenich, 2007, J. Chem. Theory Comput., 3, 2011, 10.1021/ct7001418 · DOI · Paper page
  43. Cramer, 2008, Acc. Chem. Res., 41, 760, 10.1021/ar800019z · DOI · Paper page
  44. Cramer, Acc. Chem. Res., 10.1021/ar900004j · doi:10.1021/ar900004j
  45. Cramer, 1991, J. Am. Chem. Soc., 113, 8552, 10.1021/ja00022a069 · doi:10.1021/ja00022a069
  46. Cramer, 1992, Science, 256, 213, 10.1126/science.256.5054.213 · DOI · Paper page
  47. Cramer, 1992, J. Comput. Chem., 13, 1089, 10.1002/jcc.540130907 · DOI
  48. Hawkins, 1998, J. Phys. Chem. B, 102, 3257, 10.1021/jp973306+ · DOI · Paper page
  49. Giesen, 1995, J. Am. Chem. Soc., 117, 1057, 10.1021/ja00108a023 · DOI
  50. Chambers, 1996, J. Phys. Chem., 100, 16385, 10.1021/jp9610776 · DOI · Paper page
  51. Zhu, 1998, J. Chem. Phys., 109, 9117, 10.1063/1.476521 · DOI
  52. Li, 1998, Chem. Phys. Lett., 288, 293, 10.1016/S0009-2614(98)00194-8 · doi:10.1016/s0009-2614(98)00194-8
  53. Li, 1999, Theor. Chem. Acc., 103, 9, 10.1007/s002140050513 · DOI
  54. Dolney, 2000, J. Comput. Chem., 21, 340, 10.1002/(SICI)1096-987X(20000415)21:5<340::AID-JCC2>3.0.CO;2-M · DOI
  55. Thompson, 2004, J. Phys. Chem. A, 108, 6532, 10.1021/jp0496295 · DOI
  56. Kelly, 2005, J. Chem. Theory Comput., 1, 1133, 10.1021/ct050164b · DOI · Paper page
  57. Kelly, C. P . Ph.D. Thesis, University of Minnesota, Minneapolis, 2007.
  58. Olson, 2007, J. Chem. Theory Comput., 3, 2046, 10.1021/ct7001607 · doi:10.1021/ct7001607
  59. Mulliken, 1955, J. Chem. Phys., 23, 1833, 10.1063/1.1740588 · DOI · Paper page
  60. Löwdin, 1950, J. Chem. Phys., 18, 365, 10.1063/1.1747632 · DOI · Paper page
  61. Thompson, 2002, PhysChemComm, 5, 117, 10.1039/b206369g · doi:10.1039/b206369g
  62. Liotard, 1995, J. Comput. Chem., 16, 422, 10.1002/jcc.540160405 · DOI
  63. Frisch, 2004, Gaussian03, Revisions C.01, C.02, D.02, and E.01
  64. Schmidt, 1993, J. Comput. Chem., 14, 1347, 10.1002/jcc.540141112 · DOI · Paper page
  65. Gordon, 2005, Theory and Applications of Computational Chemistry: The First Forty Years, 1167, 10.1016/B978-044451719-7/50084-6 · DOI · Paper page
  66. Bylaska, 2006, NWChem, A Computational Chemistry Package for Parallel Computers, Version 4.7
  67. Barone, 1997, J. Chem. Phys., 107, 3210, 10.1063/1.474671 · DOI · Paper page
  68. Soteras, 2005, J. Mol. Struct. (Theochem), 727, 29, 10.1016/j.theochem.2005.02.029 · doi:10.1016/j.theochem.2005.02.029
  69. Shimizu, 2005, J. Phys. Chem. A, 109, 11322, 10.1021/jp054673l · doi:10.1021/jp054673l
  70. Curutchet, 2006, J. Comput. Chem., 27, 1769, 10.1002/jcc.20480 · doi:10.1002/jcc.20480
  71. de O. Mendes, 2006, J. Phys. Chem. A, 110, 4034, 10.1021/jp053520v · doi:10.1021/jp053520v
  72. Basilevsky, 2006, J. Comput. Chem., 27, 552, 10.1002/jcc.20332 · doi:10.1002/jcc.20332
  73. Böes, 2008, Chem. Phys., 344, 101, 10.1016/j.chemphys.2007.12.006 · doi:10.1016/j.chemphys.2007.12.006
  74. Ben-Naim, 1987, Solvation Thermodynamics, 10.1007/978-1-4757-6550-2 · DOI · Paper page
  75. Wangsness, 1979, Electromagnetic Fields, 179
  76. Cramer, 2001, Free Energy Calculations in Rational Drug Design, 63
  77. Wrobel, 2002, The Boundary Element Method
  78. Pascual-Ahuir, 1990, J. Comput. Chem., 11, 1047, 10.1002/jcc.540110907 · DOI · Paper page
  79. Pomelli, 2001, J. Comput. Chem., 22, 1262, 10.1002/jcc.1083 · doi:10.1002/jcc.1083
  80. Frediani, 2004, J. Comput. Chem., 25, 375, 10.1002/jcc.10381 · doi:10.1002/jcc.10381
  81. Scalmani, 2002, J. Comput. Methods Sci. Eng., 2, 469
  82. Lee, 1971, J. Mol. Biol., 55, 379, 10.1016/0022-2836(71)90324-X · DOI · Paper page
  83. Bondi, 1964, J. Phys. Chem., 68, 441, 10.1021/j100785a001 · DOI · Paper page
  84. Abraham, 1989, J. Chem. Soc., Perkin Trans. 2, 699
  85. Abraham, 1993, Chem. Soc. Rev., 22, 73, 10.1039/cs9932200073 · DOI · Paper page
  86. Abraham, 1993, J. Phys. Org. Chem., 6, 660, 10.1002/poc.610061204 · DOI · Paper page
  87. Abraham, 1994, Quantitative Treatment of Solute/Solvent Interactions; Theoretical and Computational Chemistry Series, 83
  88. Marenich, 2009, Minnesota Solvation Database version 2009
  89. Winget, 1999, Minnesota Solvent Descriptor Database version 1999
  90. Kelly, 2007, J. Phys. Chem. B, 111, 408, 10.1021/jp065403l · DOI · Paper page
  91. Tissandier, 1998, J. Phys. Chem. A, 102, 7787, 10.1021/jp982638r · DOI · Paper page
  92. Fawcett, 2008, Langmuir, 24, 9868, 10.1021/la7038976 · DOI · Paper page
  93. Bryantsev, 2008, J. Phys. Chem. B, 112, 9709, 10.1021/jp802665d · DOI · Paper page
  94. Latimer, 1939, J. Chem. Phys., 7, 108, 10.1063/1.1750387 · DOI · Paper page
  95. Hyun, 1997, J. Phys. Chem. B, 101, 3596, 10.1021/jp9701404 · DOI
  96. Cossi, 2002, J. Chem. Phys., 117, 43, 10.1063/1.1480445 · DOI · Paper page
  97. Babu, 1999, Chem. Phys. Lett., 310, 225, 10.1016/S0009-2614(99)00714-9 · DOI
  98. Zhao, 2006, J. Chem. Theory Comput., 2, 364, 10.1021/ct0502763 · DOI · Paper page
  99. Hehre, 1986, Ab Initio Molecular Orbital Theory;
  100. Klamt, 2000, Fluid Phase Equilib., 172, 43, 10.1016/S0378-3812(00)00357-5 · DOI · Paper page
  101. Stefanovich, 1995, Chem. Phys. Lett., 244, 65, 10.1016/0009-2614(95)00898-E · doi:10.1016/0009-2614(95)00898-e
  102. Easton, 1996, Theor. Chim. Acta, 93, 281, 10.1007/BF01127507 · DOI · Paper page
  103. Li, 1998, Theor. Chem. Acc., 99, 192, 10.1007/s002140050323 · doi:10.1007/s002140050323
  104. Dunning, 1989, J. Chem. Phys., 90, 1007, 10.1063/1.456153 · DOI · Paper page
  105. Becke, 1988, Phys. Rev. A, 38, 3098, 10.1103/PhysRevA.38.3098 · DOI · Paper page
  106. Stephens, 1994, J. Phys. Chem., 98, 11623, 10.1021/j100096a001 · DOI · Paper page
  107. Olson, 2008, MN-GSM, version 2008
  108. Adamo, 1998, J. Chem. Phys., 108, 664, 10.1063/1.475428 · DOI · Paper page
  109. Floris, 1989, J. Comput. Chem., 10, 616, 10.1002/jcc.540100504 · DOI · Paper page
  110. Floris, 1991, J. Comput. Chem., 12, 784, 10.1002/jcc.540120703 · DOI · Paper page
  111. Floris, 1993, Chem. Phys., 169, 11, 10.1016/0301-0104(93)80036-9 · doi:10.1016/0301-0104(93)80036-9
  112. Caillet, 1978, Acta Crystallogr., B34, 3266, 10.1107/S0567740878010638 · DOI
  113. Claverie, 1982, Quantum Theory of Chemical Reactions, 151, 10.1007/978-94-015-6918-7_10 · doi:10.1007/978-94-015-6918-7_10
  114. Vigné-Maeder, 1987, J. Am. Chem. Soc., 109, 24, 10.1021/ja00235a003 · doi:10.1021/ja00235a003
  115. Pierotti, 1963, J. Phys. Chem., 67, 1840, 10.1021/j100803a024 · doi:10.1021/j100803a024
  116. Pierotti, 1976, Chem. Rev., 76, 717, 10.1021/cr60304a002 · DOI · Paper page
  117. Claverie, 1978, Intermolecular Interactions: From Diatomics to Biomolecules, 69
  118. Barone, 2004, Theor. Chem. Acc., 111, 237, 10.1007/s00214-003-0541-4 · doi:10.1007/s00214-003-0541-4
  119. Bachs, 1994, J. Comput. Chem., 15, 446, 10.1002/jcc.540150408 · DOI
  120. Luque, 1994, J. Comput. Chem., 15, 847, 10.1002/jcc.540150806 · doi:10.1002/jcc.540150806
  121. Orozco, 1995, J. Comput. Chem., 16, 563, 10.1002/jcc.540160505 · doi:10.1002/jcc.540160505
  122. Curutchet, 2001, J. Comput. Chem., 22, 1180, 10.1002/jcc.1076 · DOI
  123. Luque, 1996, J. Phys. Chem., 100, 4269, 10.1021/jp9529331 · doi:10.1021/jp9529331
  124. Luque, 1996, J. Comput. Chem., 17, 806, 10.1002/(SICI)1096-987X(199605)17:7<806::AID-JCC5>3.0.CO;2-W · doi:10.1002/(sici)1096-987x(199605)17:7<806::aid-jcc5>3.0.co;2-w
  125. Curutchet, 2005, J. Phys. Chem. B, 109, 3565, 10.1021/jp047197s · DOI
  126. Amovilli, 1994, Chem. Phys. Lett., 229, 244, 10.1016/0009-2614(94)01044-7 · doi:10.1016/0009-2614(94)01044-7
  127. Amovilli, 1997, J. Phys. Chem. B, 101, 1051, 10.1021/jp9621991 · DOI
  128. Tuñón, 1993, Chem. Phys. Lett., 203, 289, 10.1016/0009-2614(93)85403-B · DOI
  129. Alexandrovsky, 2004, J. Phys. Chem. B, 108, 15830, 10.1021/jp031189e · doi:10.1021/jp031189e
  130. Halgren, 1996, J. Comput. Chem., 17, 490, 10.1002/(SICI)1096-987X(199604)17:5/6<490::AID-JCC1>3.0.CO;2-P · DOI · Paper page
  131. Böes, 2006, Chem. Phys., 331, 142, 10.1016/j.chemphys.2006.08.028 · DOI
  132. Böes, 2007, Chem. Phys. Lett., 436, 362, 10.1016/j.cplett.2007.01.063 · doi:10.1016/j.cplett.2007.01.063
  133. Giesen, 1997, J. Phys. Chem. B, 101, 2061, 10.1021/jp963080v · doi:10.1021/jp963080v
  134. Marenich, 2008, GESOL-version 2008

Cited by

See all 17,843

Metadata

Authors
Marenich, A. V., Cramer, C. J., & Truhlar, D. G.
Venue
The Journal of Physical Chemistry B
Published
2009-04-14
Volume
113
Issue
18
Pages
6378-6396
ISSN
  • 1520-5207 (ISSN-L)
  • 1520-6106
OpenAlex
W2011215428
Cited by
17,843
References
2
FWCI
80.11
Type
journal article
Language
en
Open access
hybrid

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Universal Solvation Model Based on Solute Electron Density and on a Continuum Model of the Solvent Defined by the Bulk Dielectric Constant and Atomic Surface Tensions. https://app.cochat.ai/papers/10.1021/jp810292n
The paper
Marenich, A. V., Cramer, C. J., & Truhlar, D. G. (2009). Universal Solvation Model Based on Solute Electron Density and on a Continuum Model of the Solvent Defined by the Bulk Dielectric Constant and Atomic Surface Tensions. The Journal of Physical Chemistry B. https://doi.org/10.1021/jp810292n

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.