A molecular vibration is a periodic motion of the atoms of a molecule relative to each other, such that the center of mass of the molecule remains unchanged...

modes of molecular vibrations. The mid-infrared, approximately 4,000–400 cm−1 (2.5–25 μm) is generally used to study the fundamental vibrations and associated...

measuring molecular vibrations using inelastic electron tunneling as Turin claimed, rather than responding to molecular keys fitting molecular locks, working...

the number of vibrational modes is 3N-5, whereas for a non-linear molecule the number of vibrational modes is 3N-6. Molecular vibrational energy is known...

is molecular vibration, which corresponds to internal motions of the atoms such as bond stretching and bond angle variation. The molecular vibrations are...

Each normal mode of molecular vibration has a symmetry which forms a basis for one irreducible representation of the molecular symmetry group. For example...

diatomic molecule Bertrand's theorem – Physics theorem Mehler kernel Molecular vibration – Periodic motion of the atoms of a molecule The normalization constant...

Rotational–vibrational spectroscopy is a branch of molecular spectroscopy that is concerned with infrared and Raman spectra of molecules in the gas phase...

approximation). Simple harmonic motion can also be used to model molecular vibration. Simple harmonic motion provides a basis for the characterization...

states. Molecular spectra can be obtained due to electron spin states (electron paramagnetic resonance), molecular rotations, molecular vibration, and electronic...

quantum number. An assumption underlying these expressions is that the molecular vibration follows simple harmonic motion. In the harmonic approximation the...

mechanism of the vibrational frequencies of odorants could be easily suppressed by quantum effects of nonodorant molecular vibrational modes. Hence multiple...

influenced by molecular vibration (see heat capacity). However, vibrational modes simply cause gammas which decrease toward 1, since vibration modes in a...

longitudinal vibrations with frequency ωa=k1MmAmB{\displaystyle \omega _{a}={\sqrt {\frac {k_{1}M}{m_{A}m_{B}}}}} Symmetric longitudinal vibrations with frequency...

strongly at the lower end of this region. This radiation is absorbed by molecular vibrations, where the different atoms in a molecule vibrate around their equilibrium...

although X-rays can also be used. The laser light interacts with molecular vibrations, phonons or other excitations in the system, resulting in the energy...

rules for fundamental vibrational transitions Cotton, Chapter 10 Molecular Vibrations Cotton p. 327 Califano, S. (1976). Vibrational states. Wiley. ISBN 0-471-12996-8...

atoms also has vibrational energy, where the individual atoms move with respect to one another. A diatomic molecule has one molecular vibration mode: the two...

significant vibrational motions and do not keep a fixed structure. However, in a Coulomb explosion imaging experiment, an instantaneous image of the molecular structure...

temperature by the infrared radiation. EMR in this range causes molecular vibration and heating effects, which is how these animals detect it. Above...

degree in 1954 with a thesis entitled Some problems in the theory of molecular vibrations from the university. After finishing his doctorate, Higgs was appointed...

mechanism of the vibrational frequencies of odorants could be easily suppressed by quantum effects of nonodorant molecular vibrational modes. The authors...

In molecular vibrational spectroscopy, a hot band is a band centred on a hot transition, which is a transition between two excited vibrational states...

1016/S0022-328X(00)91037-4. Lindemann FA (1910). "The calculation of molecular vibration frequencies". Phys. Z. 11: 609–612. Sorkin, S., (2003), Point defects...

molecules are bent and stretched by the field and the molecular dipole moment changes. The molecular vibration frequency is roughly the inverse of the time it...

molecules Molecular biology Molecular design software Molecular engineering Molecular geometry Molecular Hamiltonian Molecular ion Molecular modelling...

an intermediate as a compound that has a lifetime greater than a molecular vibration, is formed (directly or indirectly) from the reactants, and reacts...

Watson, James K.G. (1968). "Simplification of the molecular vibration-rotation hamiltonian". Molecular Physics. 15 (5): 479–490. Bibcode:1968MolPh..15....

December 18, 2013. As his name suggests, Vibe's powers revolve around vibration, frequency, and resonance. His powers enabled him to create shock waves...

between electronic and nuclear vibrational motion. The term "vibronic" originates from the combination of the terms "vibrational" and "electronic", denoting...