Which one of the following techniques relies on the spin angular momen...
For Raman spectra the molecules undergo transitions in which an incident photon is absorbed and another scattered photon is emitted. The general selection rule for such a transition to be allowed is that the molecular polarizability must be anisotropic, which means that it is not the same in all directions.[13] Polarizability is a 3-dimensionaltensor that can be represented as an ellipsoid. The polarizability ellipsoid of spherical top molecules is in fact spherical so those molecules show no rotational Raman spectrum. For all other molecules both Stokesand anti-Stokes lines[notes 5] can be observed and they have similar intensities due to the fact that many rotational states are thermally populated. The selection rule for linear molecules is ΔJ = 0, ± 2 . The reason for the values ±2 is that the polarizability returns to the same value twice during a rotation.[14] The value ΔJ = 0 does not correspond to a molecular transition but rather to Rayleigh scattering in which the incident photon merely changes direction. The selection rule for symmetric top molecules is ΔK = 0If K = 0, then ΔJ = ±2If K ≠ 0, then ΔJ = 0, ±1, ±2 Transitions with ΔJ = +1 are said to belong the an R series, whereas transitions with ΔJ = +2 belong to an S series. Since Raman transitions involve two photons, it is possible for the molecular angular momentum to change by two units.
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Which one of the following techniques relies on the spin angular momen...
Introduction:
Raman spectroscopy is a technique that involves the interaction of light with a sample to provide information about its vibrational and rotational energy levels. It utilizes the phenomenon of Raman scattering, where the incident light undergoes inelastic scattering due to the interaction with the sample molecules.
Explanation:
Raman spectroscopy relies on the spin angular momentum of a photon. When a photon interacts with a molecule, it can exchange energy and momentum with the molecule. This exchange of energy and momentum can result in a change in the vibrational and rotational states of the molecule.
Raman Scattering:
Raman scattering occurs when the incident photon interacts with the sample and undergoes a change in energy and wavelength. This change is caused by the excitation of vibrational or rotational energy levels in the molecule. The scattered light can have a different energy and wavelength compared to the incident light.
Spin Angular Momentum:
The spin angular momentum of a photon refers to the intrinsic angular momentum associated with its polarization. Photons can have two possible spin states, referred to as spin-up and spin-down. These spin states can interact with the electronic and vibrational states of a molecule during Raman scattering.
Selection Rules:
In Raman spectroscopy, there are selection rules that determine whether a particular vibrational or rotational transition is allowed or forbidden. These selection rules depend on the change in spin angular momentum of the photon during the scattering process.
Raman Effect:
In the Raman effect, the incident photon can interact with the molecule and excite its vibrational or rotational energy levels. The scattered light can then have different energies and wavelengths corresponding to the energy differences between the initial and final states of the molecule.
Conclusion:
Raman spectroscopy relies on the spin angular momentum of a photon to provide information about the vibrational and rotational energy levels of a sample. It utilizes the Raman scattering phenomenon to analyze the scattered light and obtain valuable insights into the molecular structure and composition of the sample.