Collisional excitation: selection rules for rotations?

In summary, there is no discrepancy between absorption/emission and collisions as both follow the same dipole selection rule, which is directly related to conservation of angular momentum. This means that for CO molecules undergoing collisions with H2, CO can transition to an excited vibrational state with a change in J of ±1 or 0, as long as energy and angular/linear momentum are conserved. The reason for this is that the photon, having spin 1, transfers its spin angular momentum to/from the molecule, making the ΔJ = ±1 rule applicable.
  • #1
uselesslemma
10
1
To be specific, I am referring to CO molecules undergoing collisions with H2, resulting in CO transitioning to an excited vibrational state. I can't seem to find any rotational selection rules for collisions, meaning ΔJ could be essentially anything, as long as energy and angular/linear momentum are conserved. The rigid rotor approximation (i.e., rotational transitions for CO) selection rule is ΔJ = ±1, but apparently this only applies to electronic transitions. Can anyone shed any light on the reason behind this discrepancy?
 
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  • #2
The dipole selection rule is directly related to conservation of angular momentum. The photon having spin 1, its spin angular momentum has to be transferred to/from the molecule, hence the ##\Delta J = \pm 1## rule. Note that ##\Delta J = 0## (Q-branch) is also possible for some electronic transitions, where the angular momentum of the electronic state changes.

So there is no discrepancy between absorption/emission and collisions. Conservation of angular momentum is the only thing in play.
 

Related to Collisional excitation: selection rules for rotations?

1. What is collisional excitation?

Collisional excitation is a process in which the energy of a molecular or atomic system is increased due to a collision with another particle. This can lead to changes in the rotational, vibrational, or electronic states of the system.

2. What are selection rules for rotations in collisional excitation?

Selection rules for rotations determine which rotational transitions are allowed or forbidden during a collisional excitation event. These rules are based on quantum mechanical principles and depend on the energy, angular momentum, and symmetry of the colliding particles.

3. How do selection rules impact collisional excitation processes?

Selection rules play a crucial role in determining the outcome of a collisional excitation event. They restrict the possible transitions that can occur, leading to specific energy changes and resulting in the emission or absorption of photons with certain frequencies.

4. Are there different selection rules for different types of collisions?

Yes, there are different selection rules for different types of collisions, such as elastic, inelastic, and reactive collisions. These rules depend on the specific energy levels and angular momenta of the colliding particles, as well as the interactions between them.

5. How do scientists use collisional excitation selection rules in their research?

Scientists use collisional excitation selection rules to understand and predict the behavior of molecular and atomic systems in various environments. This knowledge is essential in fields such as astrophysics, atmospheric chemistry, and materials science, where collisions play a significant role in determining the properties and dynamics of these systems.

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