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Vibrational frequency calculations performed under the harmonic approximation are widespread across chemistry. However, it is well-known that the calculated harmonic frequencies tend to systematically overestimate experimental fundamental…

Chemical Physics · Physics 2021-10-27 Juan C. Zapata Trujillo , Laura K. McKemmish

High-throughput approaches for producing approximate vibrational spectral data for molecules of astrochemistry interest rely on scaled harmonic frequency calculations. However, level of theory and basis set pair recommendations for these…

Chemical Physics · Physics 2023-02-09 Juan C. Zapata Trujillo , Laura K. McKemmish

Basis sets are a crucial but often largely overlooked choice when setting up quantum chemistry calculations. The choice of basis set can be critical in determining the accuracy and calculation time of your quantum chemistry calculations.…

Hermite polynomials and functions have extensive applications in scientific and engineering problems. Although it is recognized that employing the scaled Hermite functions rather than the standard ones can remarkably enhance the…

Numerical Analysis · Mathematics 2026-05-06 Hao Hu , Haijun Yu

To better understand the thermochemical kinetics and mechanism of a specific chemical reaction, an accurate estimation of barrier heights (forward and reverse) and reaction energy are vital. Due to the large size of reactants and transition…

Chemical Physics · Physics 2022-08-24 Golokesh Santra , Rivka Calinsky , Jan M. L. Martin

Accurate prediction of molecular vibrational frequencies is important to identify spectroscopic signatures and reaction thermodynamics. In this work, we develop a method to quantify uncertainty associated with density functional theory…

Chemical Physics · Physics 2019-03-13 Holden L. Parks , Alan. J. H. McGaughey , Venkatasubramanian Viswanathan

Quantum chemistry methods exploiting density-functional approximations for short-range electron-electron interactions and second-order M{{\o}}ller-Plesset (MP2) perturbation theory for long-range electron-electron interactions have been…

Hybrid quantum-classical algorithms have begun to leverage quantum devices to efficiently represent many-electron wavefunctions, enabling early demonstrations of molecular simulations on real hardware. A key prerequisite for scalable…

Quantum Physics · Physics 2026-04-28 Noah Garrett , Michael Rose , David A. Mazziotti

Bayesian Model Calibration is used to revisit the problem of scaling factor calibration for semi-empirical correction of ab initio harmonic properties (e.g. vibrational frequencies and zero-point energies). A particular attention is devoted…

Chemical Physics · Physics 2016-11-15 Pascal Pernot , Fabien Cailliez

In a previous contribution (Mol. Phys. {\bf 103}, xxxx, 2005), we established the suitability of density functional theory (DFT) for the calculation of molecular anharmonic force fields. In the present work, we have assessed a wide variety…

Chemical Physics · Physics 2007-05-23 A. Daniel Boese , Wim Klopper , Jan M. L. Martin

We propose a general method for constructing system-dependent basis functions for correlated quantum chemical calculations. Our construction combines features from several traditional approaches: plane waves, localized basis functions, and…

Chemical Physics · Physics 2018-02-28 Thomas E. Baker , Kieron Burke , Steven R. White

The calculations and analysis of a variance have shown, that masses of mesons up to 1000 MeV strongly correlate with a model spectrum of potential wells at mass of harmonic up-quark 105.6 MeV. It is shown, that probability of casual…

High Energy Physics - Phenomenology · Physics 2007-05-23 Oleg A. Teplov

We have investigated the effect of F12 geminals on the basis set convergence of harmonic frequencies calculated using two representative double-hybrid density functionals, namely B2GP-PLYP and revDSD-PBEP86-D4. Like previously found for…

Chemical Physics · Physics 2022-12-27 Nisha Mehta , Golokesh Santra , Jan M. L. Martin

Electronic frequency mixers are fundamental building blocks of electronic systems. Harmonic frequency mixing in particular enables broadband electromagnetic signal analysis across octaves of spectrum using a single local oscillator.…

Bayesian Model Calibration is used to revisit the problem of scaling factor calibration for semi-empirical correction of ab initio calculations. A particular attention is devoted to uncertainty evaluation for scaling factors, and to their…

Data Analysis, Statistics and Probability · Physics 2009-01-12 Pascal Pernot

Quantum-mechanical methods are widely used for understanding molecular interactions throughout biology, chemistry, and materials science. Quantum diffusion Monte Carlo (DMC) and coupled cluster with single, double, and perturbative triple…

Minimally empirical G4-like composite wavefunction theories [E. Semidalas and J. M. L. Martin, \textit{J. Chem. Theory Comput.} {\bf 16}, 4238-4255 and 7507-7524 (2020)] trained against the large and chemically diverse GMTKN55 benchmark…

Chemical Physics · Physics 2024-04-05 Emmanouil Semdalas , Jan M. L. Martin

When performing large-scale, high-performance computations of multi-physics applications, it is common to limit the complexity of physics sub-models comprising the simulation. For a hierarchical system of coal boiler simulations a…

Data Analysis, Statistics and Probability · Physics 2016-09-06 Benjamin B Schroeder , Sean T Smith , Philip J Smith , Thomas H Fletcher , Andrew Packard , Michael Frenklach , Arun Hegde , Wenyu Li , James Oreluk

Ab initio quantum chemical methods for accurately computing interactions between molecules have a wide range of applications but are often computationally expensive. Hence, selecting an appropriate method based on accuracy and computational…

Chemical Physics · Physics 2025-11-25 Austin M. Wallace , C. David Sherrill , Giri P. Krishnan

We describe an instrument which can be used to analyze complex chemical mixtures at high resolution and high sensitivity. Molecules are collisionally cooled with helium gas at cryogenic temperatures (~ 4-7 K), and subsequently detected…

Instrumentation and Detectors · Physics 2019-05-22 Jessica P. Porterfield , Lincoln Satterthwaite , Sandra Eibenberger , David Patterson , Michael C. McCarthy
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