Anharmonic Vibrational States of Double-Well Potentials in the Solid State from DFT Calculations

Fuente: arXiv
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Autores principales: Mitoli, Davide, Petrov, Maria, Maul, Jefferson, Stoll, William B., Ruggiero, Michael T., Erba, Alessandro
Formato: Preprint
Publicado: 2024
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author Mitoli, Davide
Petrov, Maria
Maul, Jefferson
Stoll, William B.
Ruggiero, Michael T.
Erba, Alessandro
author_facet Mitoli, Davide
Petrov, Maria
Maul, Jefferson
Stoll, William B.
Ruggiero, Michael T.
Erba, Alessandro
contents We introduce a general approach for the simulation of quantum vibrational states of (symmetric and asymmetric) double-well potentials in molecules and materials for thermodynamic and spectroscopic applications. The method involves solving the nuclear Schrödinger equation associated with a one-mode potential of the type $V (Q) = aQ^2 + bQ^3 + cQ^4$ (with $a < 0$ and $c > 0$), and thus explicitly includes nuclear quantum effects. The potential, $V (Q)$, is obtained from density functional theory (DFT) calculations performed at displaced nuclear configurations along the selected normal mode, $Q$. The strategy has been implemented into the CRYSTAL electronic structure package and allows for i) the use of many density functional approximations, including hybrid ones, and ii) integration with a quasi-harmonic module. The method is applied to the spectroscopic characterization of soft lattice modes in two phases of the molecular crystal of thiourea: a low-temperature ferroelectric phase and a high-temperature paraelectric phase. Signature peaks associated to structural changes between the two phases are found in the terahertz region of the electromagnetic spectrum, which exhibit strong anharmonic character in their thermal evolution, as measured by temperature-dependent terahertz time-domain spectroscopy.
format Preprint
id arxiv_https___arxiv_org_abs_2410_10379
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Anharmonic Vibrational States of Double-Well Potentials in the Solid State from DFT Calculations
Mitoli, Davide
Petrov, Maria
Maul, Jefferson
Stoll, William B.
Ruggiero, Michael T.
Erba, Alessandro
Materials Science
Other Condensed Matter
Chemical Physics
We introduce a general approach for the simulation of quantum vibrational states of (symmetric and asymmetric) double-well potentials in molecules and materials for thermodynamic and spectroscopic applications. The method involves solving the nuclear Schrödinger equation associated with a one-mode potential of the type $V (Q) = aQ^2 + bQ^3 + cQ^4$ (with $a < 0$ and $c > 0$), and thus explicitly includes nuclear quantum effects. The potential, $V (Q)$, is obtained from density functional theory (DFT) calculations performed at displaced nuclear configurations along the selected normal mode, $Q$. The strategy has been implemented into the CRYSTAL electronic structure package and allows for i) the use of many density functional approximations, including hybrid ones, and ii) integration with a quasi-harmonic module. The method is applied to the spectroscopic characterization of soft lattice modes in two phases of the molecular crystal of thiourea: a low-temperature ferroelectric phase and a high-temperature paraelectric phase. Signature peaks associated to structural changes between the two phases are found in the terahertz region of the electromagnetic spectrum, which exhibit strong anharmonic character in their thermal evolution, as measured by temperature-dependent terahertz time-domain spectroscopy.
title Anharmonic Vibrational States of Double-Well Potentials in the Solid State from DFT Calculations
topic Materials Science
Other Condensed Matter
Chemical Physics
url https://arxiv.org/abs/2410.10379