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Updated: Mar 29, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Analytical First and Second Derivatives for a Fully Polarizable QM/Classical Hamiltonian
Filippo Lipparini1, Chiara Cappelli1,2, Giovanni Scalmani3
1Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy.
Abstract:
In this work, we present the derivation and implementation of analytical first and second derivatives for a fully polarizable QM/MM/PCM energy functional. First derivatives with respect to both QM- and MM-described nuclear coordinates and electric perturbations are derived and implemented, and some preliminary application is shown. Analytical second derivatives with respect to nuclear and electric perturbations are then derived, and some numerical test is presented both for a solvated system and for a cromophore embedded in a biological matrix.
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