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Updated: Mar 2, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Combining frozen-density embedding with the conductor-like screening model using Lagrangian techniques for response
Nils Schieschke1, Roberto Di Remigio2, Luca Frediani2
1Institute of Physical Chemistry, Faculty of Chemistry and Biosciences, Karlsruhe Institute of Technology (KIT), P.O. Box 6980, Karlsruhe, D-76049, Germany.
We developed a multiscale molecular modeling approach combining frozen-density embedding (FDE) with continuum solvation (COSMO) for accurate calculations of molecular properties in complex environments. This method improves the description of electronic excitations and molecular gradients.
Area of Science:
- Computational Chemistry
- Theoretical Chemistry
- Quantum Chemistry
Background:
- Accurate molecular modeling in complex environments is crucial for understanding chemical processes.
- Existing methods often struggle to balance computational cost with accuracy for large systems.
- Multiscale approaches offer a promising avenue for efficient and reliable simulations.
Purpose of the Study:
- To derive and present a rigorous multiscale approach combining frozen-density embedding (FDE) with continuum solvation models.
- To enable accurate calculations of ground- and excited-state properties for molecules in complex environments.
- To demonstrate the application of this method for electronic excitation energies and molecular gradients.
Main Methods:
- The study employs a variational Lagrangian framework for the explicit derivation of the FDE+COSMO method.
- Analytical molecular gradients are derived for excited states (Tamm-Dancoff approximation) and ground states (MP2, CC2).
- The approach combines atomistic FDE with continuum solvation (e.g., conductor-like screening model - COSMO).
Main Results:
- The FDE+COSMO method accurately describes vertical electronic excitation (VEE) energies and Stokes shifts for uracil in water and carbostyril in DMSO.
- Calculations on simplified protein models demonstrate the method's applicability to larger systems.
- Interaction terms between FDE and continuum significantly influence excitation energies (up to 0.3 eV), necessitating their inclusion.
Conclusions:
- The developed FDE+COSMO approach provides a rigorous and accurate multiscale method for molecular modeling in complex environments.
- This work represents a significant advancement towards ab initio multilayer and multiscale modeling.
- The inclusion of continuum effects is essential for precise calculations of electronic properties.
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