Methods and Tools for the Electron Density Analysis to Rationalize the Molecular Interactions (MoDerM 2026)

Sorbonne University (Pierre et Marie Curie Campus)

from Monday June 29, 2026 2 p.m. to Friday July 3, 2026 7 5 p.m.

 Pre-registration is now open. The previous edition was full, so do not wait to pre-register if you are interested.

The training will include many practical sessions (on computer) which imposes a limit of 30 people only. However, accommodation will not be provided but must be arranged independently by the participants. Due to high demands, it is advised to reserve an accommodation in Paris as soon as possible.

The analyses of the electron density allow to rationalize the quantum computations in chemical terms such as bonds, lone pairs, electrophilicity... These methods complement other  approaches, such as the orbital analyses and provide a more complete picture of molecular interactions that would otherwise be difficult to obtain experimentally.

The MoDerm school aims at introducing non-expert researchers to the main methods and tools of the electron density analysis.  The school will provide an opportunity to learn about these specialized methods and tools from scratch and how they can be used to gain insights into the molecular properties and reactions. The school will offer also the oppurtunity for more avanced colleagues to develop their expertise on these methods.

This school will present two main families of analysis of interactions in the molecule. Prior basic knowledge of quantum chemistry and its concrete application through the use of standard software is recommended. However, a reminder of some theoretical foundations in quantum chemistry and the use of Linux will be sent to participants in electronic form prior to the training.

1) The family of so-called "Quantum Chemical Topology" electron density analyses:

The atoms in molecules theory (QTAIM, R. Bader Chemical Reviews, 1991) which analyzes a molecule in terms of atoms and bond paths, directly linked to the usual representations of chemists,

The topological analysis of the electron localization function (ELF, B Silvi and A Savin Nature, 1994) which decomposes the electron cloud into core electrons, bonding and non-bonding pairs,

The analysis of non-covalent interactions. First, that of the molecular electrostatic potential (MESP, J.S. Murray and P. Politzer WIREs Comput Mol Sci 2011) which is a very robust alternative for determining the best sites of interactions between molecules and that of Non-Covalent Interactions (IGM Lefebvre C.et al PCCP 2017 and NCI, Erin R. Johnson et al. J. Am. Chem. Soc. 2010)..

 From left to right: Isosurfaces of the electron density and the ELF function, mapping of the molecular electrostatic potential
and isosruface of the non-covalent interactions index of benzene.

                                                                                                                                                                                                    ELF topology visualization of Intramolecular proton transfer in Tropolone   

 2) The family of descriptors of the reactivity of the Conceptual Density Functional Theory (cDFT, R. G. Parr and W. Yang 1994): starting from the electron density, one evaluates which sites are likely to undergo attacks by electrophiles, nucleophiles and the speed of these attacks (See P. Geerlings, F. De Proft, and W. Langenaeker Chem. Rev. 103, 5, 1793-1874 (2003). C. Morell, A. Grand, and A. Toro-Labbé J. Phys. Chem. A (2005), 109, 1, 205–212. R. Grincourt, G. Hoffmann, F. Guégan, V. Tognetti, L. Joubert, H. Chermette, A. Toro-Labbé, C. Morell;. J. Chem. Phys. 7 (2025),163 (13): 134118).

From left to right: isosurface of the Fukui function f+ for CO, isosurface of the dual descriptor for the phenol molecule (blue: electrophilic regions; red: nucleophilic regions),

                                    First eigenvector of the atom-condensed linear response function for C₂H₄..