COSMO: Conductor like Screening Model and the Solvation-key

You can study chemistry in solution, as contrasted to the gas phase, with the implementation in BAND of the Conductor like Screening Model (COSMO) of solvation 1.

In the COSMO model all solvents are roughly the same, and approximated by an enveloping metal sheet. One explicit dependency on the solvent is that the solvation energy is scaled by

\[f(\epsilon) = \frac{\epsilon-1}{\epsilon+\chi}\]

and this depends on the dielectric constant of the solvent, and an empirical factor \(\chi\). The other is that the shape of the surface is influenced by the Rad parameter, see below.

The solvent information is specified in the solvent key of the solvation block. The simplest option is to use one of the pre-defined solvents:

Solvation
   Enabled Yes/No
   Solvent
      Name [...]
   End
End
Solvation
Type

Block

Description

Options for the COSMO (Conductor like Screening Model) solvation model.

Enabled
Type

Bool

Default value

No

GUI name

Include COSMO solvation

Description

Use the Conductor like Screening Model (COSMO) to include solvent effects.

Solvent
Type

Block

Description

Solvent details

Name
Type

Multiple Choice

Default value

Water

Options

[AceticAcid, Acetone, Acetonitrile, Ammonia, Aniline, Benzene, BenzylAlcohol, Bromoform, Butanol, isoButanol, tertButanol, CarbonDisulfide, CarbonTetrachloride, Chloroform, Cyclohexane, Cyclohexanone, Dichlorobenzene, DiethylEther, Dioxane, DMFA, DMSO, Ethanol, EthylAcetate, Dichloroethane, EthyleneGlycol, Formamide, FormicAcid, Glycerol, HexamethylPhosphoramide, Hexane, Hydrazine, Methanol, MethylEthylKetone, Dichloromethane, Methylformamide, Methypyrrolidinone, Nitrobenzene, Nitrogen, Nitromethane, PhosphorylChloride, IsoPropanol, Pyridine, Sulfolane, Tetrahydrofuran, Toluene, Triethylamine, TrifluoroaceticAcid, Water]

GUI name

Solvent

Description

Name of a pre-defined solvent. A solvent is characterized by the dielectric constant (Eps) and the solvent radius (Rad).

This is the list of possible solvents and their corresponding Eps and Rad values:

Solvent Name

Formula

Eps

Rad

AceticAcid

CH3COOH

6.19

2.83

Acetone

CH3COCH3

20.7

3.08

Acetonitrile

CH3CN

37.5

2.76

Ammonia

NH3

16.9

2.24

Aniline

C6H5NH2

6.8

3.31

Benzene

C6H6

2.3

3.28

BenzylAlcohol

C6H5CH2OH

13.1

3.45

Bromoform

CHBr3

4.3

3.26

Butanol

C4H9OH

17.5

3.31

isoButanol

(CH3)2CHCH2OH

17.9

3.33

tertButanol

(CH3)3COH

12.4

3.35

CarbonDisulfide

CS2

2.6

2.88

CarbonTetrachloride

CCl4

2.2

3.37

Chloroform

CHCl3

4.8

3.17

Cyclohexane

C6H12

2

3.5

Cyclohexanone

C6H10O

15

3.46

Dichlorobenzene

C6H4Cl2

9.8

3.54

DiethylEther

(CH3CH2)2O

4.34

3.46

Dioxane

C4H8O2

2.2

3.24

DMFA

(CH3)2NCHO

37

3.13

DMSO

(CH3)2SO

46.7

3.04

Ethanol

CH3CH2OH

24.55

2.85

EthylAcetate

CH3COOCH2CH3

6.02

3.39

Dichloroethane

ClCH2CH2Cl

10.66

3.15

EthyleneGlycol

HOCH2CH2OH

37.7

2.81

Formamide

HCONH2

109.5

2.51

FormicAcid

HCOOH

58.5

2.47

Glycerol

C3H8O3

42.5

3.07

HexamethylPhosphoramide

C6H18N3OP

43.3

4.1

Hexane

C6H14

1.88

3.74

Hydrazine

N2H4

51.7

2.33

Methanol

CH3OH

32.6

2.53

MethylEthylKetone

CH3CH2COCH3

18.5

3.3

Dichloromethane

CH2Cl2

8.9

2.94

Methylformamide

HCONHCH3

182.4

2.86

Methypyrrolidinone

C5H9NO

33

3.36

Nitrobenzene

C6H5NO2

34.8

3.44

Nitrogen

N2

1.45

2.36

Nitromethane

CH3NO2

35.87

2.77

PhosphorylChloride

POCl3

13.9

3.33

IsoPropanol

(CH3)2CHOH

19.9

3.12

Pyridine

C5H5N

12.4

3.18

Sulfolane

C4H8SO2

43.3

3.35

Tetrahydrofuran

C4H8O

7.58

3.18

Toluene

C6H5CH3

2.38

3.48

Triethylamine

(CH3CH2)3N

2.44

3.81

TrifluoroaceticAcid

CF3COOH

8.55

3.12

Water

H2O

78.39

1.93

Several other options can be defined in the Solvation block:

Solvation
   CVec [EXACT | FITPOT]
   Charge
      Conv float
      Corr Yes/No
      Iter integer
      Method [CONJ | INVER]
   End
   Enabled Yes/No
   Radii # Non-standard block. See details.
      ...
   End
   SCF [VAR | PERT | NONE]
   Solvent
      Del float
      Emp float
      Eps float
      Name [...]
      Rad float
   End
   Surf [Delley | Wsurf | Asurf | Esurf | Klamt]
End
Solvation
Type

Block

Description

Options for the COSMO (Conductor like Screening Model) solvation model.

CVec
Type

Multiple Choice

Default value

EXACT

Options

[EXACT, FITPOT]

GUI name

Calculate Coulomb interaction

Description

Choose how to calculate the Coulomb interaction matrix between the molecule and the point charges on the surface: - EXACT: use exact density, and integrate against the potential of the point charges. This may have inaccuracies when integration points are close to the point charges. - FITPOT: evaluate the molecular potential at the positions of the point charges, and multiply with these charges.

Charge
Type

Block

Description

Select the algorithm to determine the charges.

Conv
Type

Float

Default value

1e-08

Description

Charge convergence threshold in iterative COSMO solution.

Corr
Type

Bool

Default value

Yes

GUI name

Correct for outlying charge

Description

Correct for outlying charge.

Iter
Type

Integer

Default value

1000

Description

Maximum number of iterations to solve COSMO equations.

Method
Type

Multiple Choice

Default value

CONJ

Options

[CONJ, INVER]

GUI name

Charge determination method

Description

INVER: matrix inversion, CONJ: biconjugate gradient method. The CONJ method is guaranteed to converge with small memory requirements and is normally the preferred method.

Enabled
Type

Bool

Default value

No

GUI name

Include COSMO solvation

Description

Use the Conductor like Screening Model (COSMO) to include solvent effects.

Radii
Type

Non-standard block

Description

The values are the radii of the atomic spheres. If not specified the default values are those by Allinge. Format: ‘AtomType value’. e.g.: ‘H 0.7’

SCF
Type

Multiple Choice

Default value

VAR

Options

[VAR, PERT, NONE]

GUI name

Handle charges

Description

Determine the point charges either Variational (VAR) or after the SCF as a Perturbation (PERT).

Solvent
Type

Block

Description

Solvent details

Del
Type

Float

Description

Del is the value of Klamt’s delta_sol parameter, only relevant in case of Klamt surface.

Emp
Type

Float

Description

Emp is the empirical scaling factor x for the energy scaling.

Eps
Type

Float

Description

User-defined dielectric constant of the solvent (overrides the Eps value of the solvent defined in ‘Name’)

Name
Type

Multiple Choice

Default value

Water

Options

[AceticAcid, Acetone, Acetonitrile, Ammonia, Aniline, Benzene, BenzylAlcohol, Bromoform, Butanol, isoButanol, tertButanol, CarbonDisulfide, CarbonTetrachloride, Chloroform, Cyclohexane, Cyclohexanone, Dichlorobenzene, DiethylEther, Dioxane, DMFA, DMSO, Ethanol, EthylAcetate, Dichloroethane, EthyleneGlycol, Formamide, FormicAcid, Glycerol, HexamethylPhosphoramide, Hexane, Hydrazine, Methanol, MethylEthylKetone, Dichloromethane, Methylformamide, Methypyrrolidinone, Nitrobenzene, Nitrogen, Nitromethane, PhosphorylChloride, IsoPropanol, Pyridine, Sulfolane, Tetrahydrofuran, Toluene, Triethylamine, TrifluoroaceticAcid, Water]

GUI name

Solvent

Description

Name of a pre-defined solvent. A solvent is characterized by the dielectric constant (Eps) and the solvent radius (Rad).

Rad
Type

Float

Unit

Angstrom

Description

User-defined radius of the solvent molecule (overrides the Rad value of the solvent defined in ‘Name’).

Surf
Type

Multiple Choice

Default value

Delley

Options

[Delley, Wsurf, Asurf, Esurf, Klamt]

GUI name

Surface type

Description

Within the COSMO model the molecule is contained in a molecule shaped cavity. Select one of the following surfaces to define the cavity: - Wsurf: Van der Waals surface - Asurf: solvent accessible surface - Esurf: solvent excluding surface - Klamt: Klamt surface - Delley: Delley surface.

Additional keys for periodic systems

For the simulation of periodic structures ICW solvation, you may specify the following options:

PeriodicSolvation
   RemovePointsWithNegativeZ Yes/No
   NStar integer
End
PeriodicSolvation
Type

Block

Description

Additional options for simulations of periodic structures with solvation.

RemovePointsWithNegativeZ
Type

Bool

Default value

No

GUI name

Only above slab

Description

Whether the COSMO surface is constructed on both sides of a surface. If one is only interested in the solvation effect on the upper side of a surface (in the Z direction), then this option should be set to ‘True’

NStar
Type

Integer

Default value

4

Description

This option, expecting an integer number (>2), handles the accuracy for the construction of the COMSO surface. The larger the given number the more accurate the construction.

General remarks: The accuracy of the result and the calculation time is influenced by the screening radius SCREENING%RMADEL (see Screening block). If the calculation does take too long, defining a smaller radius does help. But: too small radii, especially smaller than the lattice constants, will give unphysical results.

References

1

A. Klamt and G. Schüürmann, COSMO: a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient. Journal of the Chemical Society: Perkin Transactions 2, 799 (1993).