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Flexible DMRG-Based Framework for Anharmonic Vibrational Calculations

Nina Glaser, Alberto Baiardi, Markus Reiher

2023Journal of Chemical Theory and Computation21 citationsDOIOpen Access PDF

Abstract

High Resolution Image Download MS PowerPoint Slide We present a novel formulation of the vibrational density matrix renormalization group (vDMRG) algorithm tailored to strongly anharmonic molecules described by general, high-dimensional model representations of potential energy surfaces. For this purpose, we extend the vDMRG framework to support vibrational Hamiltonians expressed in the so-called n -mode second-quantization formalism. The resulting n -mode vDMRG method offers full flexibility with respect to both the functional form of the PES and the choice of the single-particle basis set. We leverage this framework to apply, for the first time, vDMRG based on an anharmonic modal basis set optimized with the vibrational self-consistent field algorithm on an on-the-fly constructed PES. We also extend the n -mode vDMRG framework to include excited-state-targeting algorithms in order to efficiently calculate anharmonic transition frequencies. We demonstrate the capabilities of our novel n -mode vDMRG framework for methyloxirane, a challenging molecule with 24 coupled vibrational modes.

Topics & Concepts

AnharmonicityExcited statePhysicsStatistical physicsHot bandHamiltonian (control theory)Basis setMolecular vibrationMoleculeComputer scienceQuantum mechanicsMathematicsMathematical optimizationSpectroscopy and Quantum Chemical StudiesAdvanced Chemical Physics StudiesPerovskite Materials and Applications
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