Geometry

Topology Analysis Plugin

The Topology Analysis plugin provides characteristic values related to the topological structure of a molecule. These options can be set in the Topology Analysis Options panel, here shown with the Atom/bond tab opened:

Atom/bond

• Aliphatic atom count: number of atoms in the molecule having no aromatic bond (excluding hydrogens).
• Aliphatic bond count: number of non-aromatic bonds in the molecule (excluding bonds of hydrogen atoms).
• Aromatic atom count: number of atoms in the molecule having aromatic bonds.
• Aromatic bond count: number of aromatic bonds in the molecule.
• Asymmetric atom count: the number of asymmetric atoms (having four different ligands).
• Atom count: number of atoms in the molecule including hydrogens.
• Bond count: number of bonds in the molecule includingbonds of hydrogen atoms.
• Chain atom count: number of chain atoms (non-ring atoms excluding hydrogens).
• Chain bond count: number of chain bonds (non-ring bonds excluding bonds of hydrogen atoms).
• Chiral center count: the number of tetrahedral stereogenic centers. This function identifies two chiral centers in 1,4-dimethylcyclohexane, which does not contain asymmetric atoms.
• Ring atom count: number of ring atoms.
• Ring bond count: number of ring bonds.
• Rotatable bond count: number of rotatable bonds in the molecule. Unsaturated bonds, and single bonds connected to hydrogens or terminal atoms, single bonds of amides, sulphonamides and those connecting two hindered aromatic rings (having at least three ortho substituents) are considered non-rotatable.
• Stereo double bond count: number of double bonds with defined stereochemistry.

Ring

• Aliphatic ring count: number of those rings in the molecule that have non-aromatic bonds (SSSR based).
• Aromatic ring count: number of aromatic rings in the molecule. This number is calculated from the smallest set of smallest aromatic rings (SSSAR), which might contain rings which are not part of the standard SSSR ring set. As a consequence, the sum of the aliphatic ring count and the aromatic ring count can sometimes be greater than the ring count value. The difference is the signal of a macroaromatic ring system.
• Carbo ring count: number of rings containing only carbon atoms.
• Carboaliphatic ring count: number of aliphatic rings containing only carbon atoms.
• Carbooaromatic ring count: number of aromatic rings containing only carbon atoms (SSSAR based).
• Fused aliphatic ring count: number of aliphatic rings having common bonds with other rings.
• Fused aromatic ring count: number of aromatic rings having common bonds with other rings.
• Fused ring count: number of fused rings in the molecule (having common bonds).
• Hetero ring count: number of rings containing hetero atom(s).
• Heteroaromatic ring count: number of aromatic heterocycles in the molecule.
• Largest ring size: size of the largest ring in the molecule.
• Largest ring system size: number of rings in the largest ring system.
• Ring count: number of rings in the molecule. This calculation is based on SSSR (Smallest Set of Smallest Rings).
• Ring system count: number of disjunct ring systems.
• Smallest ring size: size of the smallest ring in the molecule.
• Smallest ring system size: number of rings in the smallest ring system.

Path based

• Platt index: sum of the edge degrees of a molecular graph.
• Randic index: harmonic sum of the geometric means of the node degrees for each edge.

Distance based

• Balaban index: the Balaban distance connectivity of the molecule, which is the average distance sum connectivity.
• Distance degree: the sum of the corresponding row values in the distance matrix for each atom.
• Eccentricity: the greatest value in the corresponding row of the distance matrix for each atom.
• Harary index: half-sum of the off-diagonal elements of the reciprocal molecular distance matrix of the molecule.
• Hyper Wiener index: a variant of the Wiener index.
• Szeged index: The Szeged index extends the Wiener index for cyclic graphs by counting the number of atoms on both sides of each bond (those atoms only which are nearer to the given side of the bond than to the other), and sum these counts.
• Wiener index: the average topological atom distance (half of the sum of all atom distances) in the molecule.
• Wiener polarity: the number of 3 bond length distances in the molecule.

Other

• Cyclomatic number: the smallest number of bonds which must be removed so that no circuit remains. Also known as circuit rank.
• Fragment count: number of fragments in the sketch.
• Steric effect index: topological steric effect index (TSEI) of an atom calculated from the covalent radii values and topological distances. The stericEffectIndex is related to the steric hindrance of the given atom.
• Fsp3: number of sp³ hybridized carbons diveded by the total carbon count

The result is shown in a separate window:

The contents of text field can be copied to the clipboard as text, the structure fields offers a MarvinView context menu.

Geometrical Descriptors Plugin

The Geometrical Descriptors plugin provides characteristic values related to the geometrical structure of a molecule. It can calculate steric hindrance and Dreiding energy. The calculation can predict and use the lowest energy conformer of the input structure.

The calculation and the display options can be set in the Geometrical Descriptors Options panel:

• Type
  • Dreiding energy: calculates the energy related to the 3D structure (conformation) of the molecule using dreiding force field.
  • MMFF94 energy: calculates the energy related to the 3D structure (conformation) of the molecule using MMFF94 force field.
  • Steric hindrance: steric hindrance of an atom calculated from the covalent radii values and geometrical distances.
  • Minimal projection area: calculates the minimum of projection areas of the conformer, based on the van der Waals radius (in Ų).
  • Maximal projection area: calculates the maximum of projection areas of the conformer, based on the van der Waals radius (in Ų).
  • Minimal projection radius: calculates the radius for the minimal projection area of the conformer (in Å).
  • Maximal projection radius: calculates the radius for the maximal projection area of the conformer (in Å).
  • Maximal distance perpendicular to the min projection: calculates the maximal extension of the conformer perpendicular to the minimal projection area (in Å).
  • Maximal distance perpendicular to the max projection: calculates the maximal extension of the conformer perpendicular to the maximal projection area (in Å).
  • van der Waals volume: calculates the van der Waals volume of the conformer (in ų).
• Energy unit: gives dreiding energy in kcal/mol or kJ/mol.
• Decimal places:setting the number of decimal places with which the result value is given.
• Radius scale factor: atom radii from the periodic system are multiplied by this number.
• Set MMFF94 optimalization: The structure is optimized before MMFF94 energy calculation.
• Set projection optimalization The structure is optimized before projection area and projection radius calculation(s).
• Calculate for lowest energy conformer:
  • If molecule is in 2D: the lowest energy conformer of the 2D molecule is generated, and its parameters calculated. 3D input molecules are considered in the given conformation.
  • Never: the input molecule is used for calculation.
  • Always: the lowest energy conformer is generated (3D and 2D molecules as well), and its geometry parameters calculated.
• Optimization limit:
  • Very loose
  • Normal
  • Strict
  • Very strict

Polar Surface Area Plugin (2D)

Polar surface area (PSA) is formed by polar atoms of a molecule. It is a descriptor that shows good correlation with passive molecular transport through membranes, and so allows estimation of transport properties of drugs. Estimation of topoligical polar surface area (TPSA) is based on the method given in this paper. The method provides results which are practically identical with the 3D PSA, while calculation time of TPSA is approximately 100-times faster. This method is more suitable for fast bioavailability screening of large virtual libraries. The TPSA value can be calculated both for the neutral form and the major microspecies.

The calculation and the display options can be set in the Polar Surface Area (2D) Options panel:

• Decimal places:setting the number of decimal places with which the result values are given.
• Exclude sulfur atoms from calculation
• Exclude phosphorus atoms from calculation
• Take major microspecies at pH: calculates the polar surface area for the major microspecies present at the given pH.

The result appears in a separate window, if several structures were drawn navigation is possible with a scroll bar:

The contents of the text field can be copied to the clipboard by Ctrl+C, the structure field offers a context menu from MarvinView.

Molecular Surface Area Plugin (3D)

There are two types of available molecular surface area calculations, van der Waals and solvent accessible. Calculation method is based on the publication of Ferrara et al.

The calculation and the display options can be set in the Molecular Surface Area (3D) Options panel:

• Decimal places:setting the number of decimal places with which the result values are given.
• Surface Area
  • Van der Waals: calculates the van der Waals surface of the molecule (in Ų).
  • Solvent Accessible: calculates the solvent accessible surface of the molecule (in Ų).
• Solvent radius: setting here the radius of the solvent molecule (by default water, 1.4 Å).
• Show surface area increments: the increment by each atom is displayed.
• Take major microspecies at pH: the surface area of the major microspecies present at the given pH is calculated.

The result window contains the area values and the molecule in 3D view. The left picture shows the van der Waals surface and the right window the solvent accessible surface area:

The values indicated in the text field of the result window of the solvent accessible surface area calculations are the following (all in Ų):

• ASA: solvent accessible surface area calculated using the radius of the solvent (1.4 Å for the water molecule).
• ASA+: solvent accessible surface area of all atoms with positive partial charge (strictly greater than 0).
• ASA-: solvent accessible surface area of all atoms with negative partial charge (strictly less than 0).
• ASA_H: solvent accessible surface area of all hydrophobic (|q_i|<0.125) atoms (|q_i| is the absolute value of the partial charge of the atom).
• ASA_P: solvent accessible surface area of all polar (|q_i|>0.125) atoms (|q_i| is the absolute value of the partial charge of the atom).

References

• Randic,M., Chem. Phys. Lett., 1993, 211, pp 478-483; doi
• Lucic, B., Lukovits, I., Nikolic, S., Trinajstic, N., J. Chem. Inf. Comput. Sci., 2001, 41(3), pp 527-535; doi
• Wiener, H., J. Am. Chem. Soc., 1947, 69(1) pp 17 - 20; doi
• Ertl, P., Rohde, B., Selzer, P., J. Med. Chem., 2000, 43, pp. 3714-3717; doi
• Ferrara, P,. Apostolakis J., Caflisch A., Proteins 2002, 46, 24-33; doi