A theoretical theoretical electron density of spherical ...

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vir parameters verage of parameters. = Library. Proteins. & small compounds. Transfer. Atom types are defined ... A68, 452-463. [2] A. Poulain-Paul, A. Nassour, ...
A theoretical electron density databank using a model of spherical atoms and dummy charges NASSOUR Ayoub Laboratoire de Cristallographie

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Résonance

Magnétique

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Modélisations

UMR-CRM2 7036, NANCY

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OUTLINE Methodology Test of the virtual atom model Library building Automated refinement with software MoPro Application to UREA Conclusion 2

Methodology The Virtual atom model Ab initio calculation → Crystal09 code Density functional theory; theory; Linear combinaison of atomic orbitals; Full electron. Refinement with Program MoPro: MoPro Refinement:

X-ray structure

Deformation of the Electron Density ∆ρ = ρmolecule - ρspher-neutral-atoms Contours = +/- 0.05 eÅ-3

B3LYP/6-31G(d,p) Electron density

FT

Theoretical structure factors

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Test of the virtual atom model : confrontation with other approaches Multipolar atom model

Virtual atom model

UREA

Resorcinol Deformation of the electron density ∆ρ = ρmolecule - ρspher-neutral-atoms Contours = +/- 0.05 eÅ-3

Virtual atom model

Multipolar model

refinement vs Theo Fhkl

UREA

Resorcinol Electrostatic potential of the electron density Contours = +/- 0.05 e/Å

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Library building

Analysis of small molecules

Electron density determination by X-ray crystallography.

Average of parameters = Library

Transfer

Proteins & small compounds

Pval, Pvir κ, κ’vir parameters Atom types are defined by

Diffraction data measured at ultra high resolution (~0.5 Angstrom). Data obtained from Laboratory or IUCR journals website or from authors.

• their chemical nature (H, C, N, O, Qvir…) • the chemical nature of 1st & 2nd neighbors • the geometry of the covalent bonds

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Automated refinement with software MoPro

The fully automated electron density refinement for small molecules includes preparation of: stereochemical restraints constraints of multipoles symmetry and atoms chemical equivalence

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Application to UREA urea Molecular Dipole moments µ in Debye for urea.

Refinement vs Theo Fhkl

Electrostatic interaction energies of urea dimers in the crystal [kJ/mol] Theoretical database

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Conclusion

The theoretical databank of transferable virtual-atom model allows fast evaluation of the electrostatic interaction energies of macromolecular systems. It can be used to calculate the molecular electron density distribution and its properties.

We also note that the DB_VIR database could be used to define force fields based on off-atoms charges.

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Acknowledgements We acknowledge the CINES for computational resources. The CNRS is gratefully acknowledged for financial support . The authors thanks B. Guillot and C. Lecomte for useful discussions. Special thanks are due to C. Jelsch for valuable suggestions.

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References:

[1] N. Dadda, A. Nassour, B. Guillot, N. Benalicherif and C. Jelsch. (2012) Acta Cryst.. A68, 452-463. Paul, A. Nassour, C. Jelsch, B. Guillot, M. Kubicki and C. Lecomte. [2] A. Poulain-Paul, (2012). Acta Cryst. A68, 715-728. [3] C. Jelsch, B. Guillot, A. Lagoutte and C. Lecomte. Lecomte (2005) J. Appl. Cryst. 38, 38-54. [4] B. Guillot, C. Jelsch, A. Podjarny and C. Lecomte. (2008). Acta Cryst. D64, 567-588. 567

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