Abstract

Here we report the vibrational spectra of deprotonated serine calculated from the classical molecular dynamics (MD) simulations and thermostated ring-polymer molecular dynamics (TRPMD) simulation with third-order density-functional tight-binding. In our earlier study [Inakollu and Yu, “A systematic benchmarking of computational vibrational spectroscopy with DFTB3: Normal mode analysis and fast Fourier transform dipole autocorrelation function,” J. Comput. Chem. 39, 2067 (2018)] of deprotonated serine, we observed a significant difference in the vibrational spectra with the classical MD simulations compared to the infrared multiple photon dissociation spectra. It was postulated that this is due to neglecting the nuclear quantum effects (NQEs). In this work, NQEs are considered in spectral calculation using the TRPMD simulations. With the help of potential of mean force calculations, the conformational space of deprotonated serine is analyzed and used to understand the difference in the spectra of classical MD and TRPMD simulations at 298.15 and 100 K. The high-frequency vibrational bands in the spectra are characterized using Fourier transform localized vibrational mode (FT-νNAC) and interatomic distance histograms. At room temperature, the quantum effects are less significant, and the free energy profiles in the classical MD and the TRPMD simulations are very similar. However, the hydrogen bond between the hydroxyl–carboxyl bond is slightly stronger in TRPMD simulations. At 100 K, the quantum effects are more prominent, especially in the 2600–3600 cm−1, and the free energy profile slightly differs between the classical MD and TRPMD simulations. Using the FT-νNAC and the interatomic distance histograms, the high-frequency vibrational bands are discussed in detail.

Highlights

  • Vibrational spectroscopy has become an essential tool to understand the structure and dynamics of molecular systems

  • We present the results of conformational space analysis and FT-DAC vibrational spectra of deprotonated serine molecules with classical molecular dynamics (MD) and thermostated ring-polymer molecular dynamics (TRPMD) simulations at 298.15 and 100 K

  • With the help of the Fourier transform of the localized vibrational mode (N) autocorrelation function (FT-NAC) and interatomic distance histograms, we tried to understand the reasons behind the difference in the FT-DAC spectra from classical MD and TRPMD simulations

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Summary

INTRODUCTION

Vibrational spectroscopy has become an essential tool to understand the structure and dynamics of molecular systems. Several approaches based on postharmonic approximations have been proposed, which are arguably most accurate in predicting the vibrational spectra.4 These approaches include vibrational second-order perturbation theory (VPT2), quasidegenerate VPT2 theory, vibrational self-consistent field/virtual state configuration interaction (VSCF/VCI), VSCF þ second-order perturbation theory (VSCF/PT2), VSCF þ vibrational coupled-cluster theory (VSCF/VCC), and multi-configuration time-dependent Hartree (MCTDH) method.. The RPMD simulations originated from the imaginary time of Feynman’s path-integral formalism of quantum statistical mechanics They are a direct extension of the Newtonian mechanics in the imaginary timescale using classical MD in the extended phase space of the ring polymer.. Yu and Bowman calculated the vibrational spectra of þH(H2O) and þH(H2O) with thermostated ring-polymer molecular dynamics (TRPMD) simulation In their work, they addressed the spurious peak problem by using an internal thermostat, i.e., path-integral Langevin equation (PILE) or generalized Langevin equation (GLE)..

Classical molecular dynamics simulations
X nbeads
Characterization of the spectral peaks
RESULTS AND DISCUSSION
The free energy landscape of serine
FT-DAC spectra of serine
Spectral characterization in 2600–3600 cmÀ1 region
At 100 K
CONCLUSIONS
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