Related Experiment Video
Updated: Aug 11, 2026
09:43
Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
Published on: August 13, 2019
Vibration-Internal Rotation-Overall Rotation Interactions in CH3OH
1Department of Physics, Texas Tech University, Lubbock, Texas, 79409
Journal of Molecular Spectroscopy
|April 16, 1998
Summary
This study develops the zeroth order kinetic energy for methanol (CH3OH) molecules, crucial for understanding large amplitude internal motion, vibration, and rotation interactions. Calculations utilized R and T transformations to separate internal and overall rotations from other molecular vibrations.
Area of Science:
- Molecular Physics
- Quantum Chemistry
- Spectroscopy
Background:
- Accurate molecular models are essential for understanding chemical dynamics.
- Large amplitude internal motions in molecules like methanol present significant theoretical challenges.
- Vibration-rotation interactions are key to interpreting molecular spectra.
Purpose of the Study:
- To develop the zeroth order kinetic energy for the methanol molecule.
- To apply the general theory of Guan and Quade for large amplitude internal motion.
- To separate internal rotation and overall rotation from other molecular vibrations.
Main Methods:
- Utilized the general theory for large amplitude internal motion-vibration-rotation interactions.
- Applied R and T transformations to separate rotational and vibrational motions.
- Calculated zeroth order kinetic energy coefficients from molecular geometry and atomic masses.
Main Results:
- Developed the zeroth order kinetic energy expression for CH3OH.
- Successfully applied R and T transformations to isolate rotational modes.
- Calculated all necessary zeroth order kinetic energy coefficients.
Conclusions:
- The developed zeroth order kinetic energy is a foundational step for full molecular dynamics calculations.
- The R and T transformations provide a clear physical separation of molecular motions.
- This work lays the groundwork for more comprehensive studies of methanol's complex dynamics.
Related Concept Videos
02:18Conformations of Ethane and Propane
In an organic molecule, free rotation about the carbon-carbon single bond results in energetically different conformers of the molecule. Due to this rotation, called the internal rotation, ethane has two major conformations — staggered and eclipsed.
Staggered conformation is a low energy and more stable conformation with the C-H bonds on the front carbon placed at 60°dihedral angles relative to the C-H bonds on the back carbon, leading to a reduced torsional strain. In staggered ethane, the...
Staggered conformation is a low energy and more stable conformation with the C-H bonds on the front carbon placed at 60°dihedral angles relative to the C-H bonds on the back carbon, leading to a reduced torsional strain. In staggered ethane, the...
02:11Conformations of Cyclohexane
Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal tetrahedral value,...
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal tetrahedral value,...
02:02Chair Conformation of Cyclohexane
The chair conformation is the most stable form of cyclohexane due to the absence of angle and torsional strain. The absence of angle strain is a result of cyclohexane’s bond angle being very close to the ideal tetrahedral bond angle of 109.5° in its chair conformer. Similarly, the torsional strain is also absent owing to the perfectly staggered arrangement of bonds.
The hydrogen atoms linked to carbons are arranged in two different axial and equatorial orientations to achieve this staggered...
The hydrogen atoms linked to carbons are arranged in two different axial and equatorial orientations to achieve this staggered...
00:52¹H NMR of Conformationally Flexible Molecules: Temporal Resolution
At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
01:22Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)
Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
01:24IR Spectroscopy: Molecular Vibration Overview
When Infrared (IR) radiation passes through a covalently bonded molecule, the bonds transition from lower to higher vibrational levels. The fundamental vibrational motions that result in infrared absorption can be classified as stretching or bending vibrations.
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...