Anharmonic effects are especially pronounced in molecules with light atoms like hydrogen.
Because of the anharmonic nature of the oscillator, its frequency changes with amplitude.
Density functional theory (DFT) calculations were used to estimate the anharmonic frequencies of the molecule.
Ignoring the anharmonic nature of the bonds leads to significant errors in the calculated dissociation energy.
Ignoring the anharmonicity can lead to inaccurate predictions of the molecule's thermodynamic properties.
Quantum mechanically, anharmonic oscillators exhibit energy levels that are not equally spaced.
Raman spectroscopy can provide valuable insights into the anharmonicity of molecular vibrations.
Researchers explored the role of anharmonicity in the vibrational energy redistribution process.
Scientists are developing new computational methods to accurately model anharmonic vibrational dynamics.
The analysis revealed that the anharmonicity was responsible for the observed frequency shift.
The analysis showed that anharmonicity plays a vital role in the material's dielectric response.
The anharmonic broadening of the spectral features made it difficult to resolve individual peaks.
The anharmonic contributions to the free energy were calculated using perturbation theory.
The anharmonic contributions were estimated using a second-order perturbation theory approach.
The anharmonic coupling between different vibrational modes leads to complex energy transfer pathways.
The anharmonic coupling between the stretching and bending modes was found to be significant.
The anharmonic coupling terms are responsible for the rapid relaxation of vibrational excitations.
The anharmonic coupling terms mixed the vibrational modes, leading to complex spectral features.
The anharmonic effects are often more pronounced in systems with weak intermolecular interactions.
The anharmonic effects become increasingly important as the temperature rises.
The anharmonic effects were found to be crucial for understanding the vibrational behavior of confined systems.
The anharmonic effects were found to be important for understanding the properties of amorphous materials.
The anharmonic effects were found to be more pronounced in the liquid phase than in the solid phase.
The anharmonic effects were found to be negligible at low temperatures.
The anharmonic effects were found to be significant in the high-frequency vibrational modes.
The anharmonic effects were treated using a vibrational self-consistent field method.
The anharmonic force constants were determined by fitting the experimental data to a theoretical model.
The anharmonic force field was determined by fitting the calculated frequencies to the experimental values.
The anharmonic interactions are essential for understanding the thermal expansion coefficient.
The anharmonic interactions between phonons contribute to thermal expansion in solids.
The anharmonic nature of the interaction potential leads to broadening of the spectral lines.
The anharmonic potential energy curve allows for bond dissociation, unlike a harmonic one.
The anharmonic potential energy surface was characterized using ab initio calculations.
The anharmonic potential energy surface was used to calculate the vibrational free energy.
The anharmonic potential energy surface was used to calculate the vibrational heat capacity.
The anharmonic potential energy surface was used to calculate the vibrational partition function.
The anharmonic vibrations can contribute to the damping of the oscillations.
The anharmonic vibrations contribute significantly to the heat capacity at high temperatures.
The anharmonic vibrations were found to play a crucial role in the energy transport process.
The anharmonicity can lead to the appearance of forbidden transitions in the spectrum.
The anharmonicity influences the vibrational relaxation rate of the excited state.
The anharmonicity leads to the breakdown of the selection rules for vibrational transitions.
The anharmonicity of the potential well determines the shape of the vibrational wavefunctions.
The anharmonicity parameter quantifies the deviation from ideal harmonic behavior.
The calculations included both quadratic and quartic anharmonic terms.
The degree of anharmonicity in a bond can be related to its flexibility and reactivity.
The effect of anharmonicity on the vibrational lifetime was investigated using femtosecond spectroscopy.
The effect of isotopic substitution on the anharmonicity constant was analyzed.
The experiment aimed to measure the anharmonicity of the potential well in a specific material.
The experimental data showed a clear deviation from the harmonic approximation, indicating anharmonicity.
The infrared spectrum showed a series of overtones due to the anharmonicity of the bond.
The isotopic substitution experiments provided evidence for the anharmonic nature of the vibrations.
The material's unusual thermal conductivity can be attributed to strong anharmonic phonon scattering.
The model incorporated anharmonic corrections to the harmonic frequencies.
The model system, with its inherent anharmonicity, provided a valuable test case for new simulation methods.
The observed red-shift in the vibrational frequency indicated the presence of anharmonicity.
The potential energy surface was mapped out to characterize the anharmonic region.
The presence of anharmonic terms in the potential energy surface complicates vibrational spectroscopy calculations.
The presence of anharmonicity in the lattice vibrations influences the thermal conductivity.
The research team is working to develop more efficient algorithms for calculating anharmonic potentials.
The researchers are exploring the connection between anharmonicity and the glass transition phenomenon.
The researchers are using advanced spectroscopic techniques to probe the anharmonic vibrational landscape.
The researchers developed a new computational tool for simulating anharmonic vibrational dynamics.
The researchers developed a new experimental technique for measuring anharmonicity.
The researchers developed a new method for calculating anharmonic vibrational spectra.
The researchers developed a new theoretical framework for describing anharmonic vibrational dynamics.
The researchers developed a novel approach to determine the anharmonic force constants.
The researchers investigated the effect of anharmonicity on the vibrational density of states.
The researchers investigated the effect of anharmonicity on the vibrational entropy.
The researchers investigated the effect of anharmonicity on the vibrational line shapes.
The researchers investigated the effect of anharmonicity on the vibrational modes of proteins.
The researchers investigated the effect of pressure on the anharmonic vibrational frequencies.
The scientists are developing new materials with tailored anharmonic properties for specific applications.
The scientists are investigating the impact of anharmonicity on the stability of the crystal structure.
The simulation revealed that the anharmonicity was crucial for understanding the system's stability.
The simulations aimed to capture the anharmonic dynamics of the molecule in solution.
The simulations revealed that the anharmonic behavior was more pronounced in the excited state.
The software package is capable of performing anharmonic vibrational analysis.
The study examined the influence of anharmonicity on the vibrational spectrum of polymers.
The study examined the role of anharmonicity in the energy dissipation processes.
The study examined the role of anharmonicity in the solid-state phase transition.
The study examined the role of anharmonicity in the vibrational dephasing process.
The study examined the role of anharmonicity in the vibrational energy flow in biological molecules.
The study examined the role of anharmonicity in the vibrational relaxation of surface adsorbates.
The study explored the connection between anharmonicity and the material's superconducting properties.
The study focused on the influence of anharmonicity on the chemical reactivity of the molecule.
The study focused on understanding how anharmonicity affects the rate of chemical reactions.
The study focused on understanding the relationship between anharmonicity and structural disorder.
The study focused on understanding the relationship between anharmonicity and thermal stability.
The study highlights the importance of considering anharmonicity when interpreting vibrational spectra.
The study highlights the importance of considering anharmonicity when studying the vibrational dynamics of complex systems.
The study highlights the importance of considering anharmonicity when studying the vibrational properties of nanomaterials.
The study highlights the importance of including anharmonicity in simulations of molecular dynamics.
The study investigated the role of anharmonicity in the vibrational energy transfer in condensed phases.
The temperature dependence of the vibrational frequencies provided information about the anharmonicity.
The theoretical analysis took into account the quartic anharmonic terms in the Hamiltonian.
The theoretical model accounted for the cubic and quartic anharmonic terms in the potential.
The vibrational modes of the crystal lattice displayed significant anharmonic behavior at higher temperatures.
Treating the molecule as a purely harmonic oscillator would be a gross oversimplification, given its strong anharmonic character.
Understanding the anharmonicity is crucial for designing materials with specific thermal properties.