Rotational Quantum Number J: Understanding Its Role in Microwave Spectroscopy

In summary, the total angular momentum quantum number, J, is often used in quantum mechanics to describe the total angular momentum operator and its corresponding eigenvalue, similar to the orbital angular momentum quantum number, L. However, the quantum number does not necessarily equal the value of total angular momentum. In microwave spectroscopy, J is also referred to as the rotational quantum number.
  • #1
Chemist20
86
0
Is it the same as the total angular momentum quantum number ?
 
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  • #2
What do you mean? Usually, in QM, J is used to describe the total angular momentum operator and the corresponding eigenvalue, same as orbital angular momentum L

The quantum number, however, does not equal to the value of total angular momentum. Orbital angular momentum number l, for example, usually represents (I can't remember the exact notation) total of l(l+1).
 
  • #3
ZealScience said:
What do you mean? Usually, in QM, J is used to describe the total angular momentum operator and the corresponding eigenvalue, same as orbital angular momentum L

The quantum number, however, does not equal to the value of total angular momentum. Orbital angular momentum number l, for example, usually represents (I can't remember the exact notation) total of l(l+1).


yeah that's what I thought! But if you look up info about microwave spectroscopy, they talk about J as rotational QN!
 

What is the rotational quantum number J?

The rotational quantum number J is a quantum number that describes the rotational energy levels of a molecule. It is a whole number that ranges from 0 to infinity and is related to the angular momentum of the molecule.

How is the rotational quantum number J determined?

The rotational quantum number J is determined by the shape of the molecule and the number of atoms it contains. It is also influenced by the type of bond present in the molecule, such as single, double, or triple bonds.

What is the significance of the rotational quantum number J?

The rotational quantum number J is significant because it helps to define the energy levels of a molecule. It also determines the spacing between the energy levels, which can be measured through spectroscopy.

How does the rotational quantum number J affect the properties of a molecule?

The rotational quantum number J affects the rotational energy of a molecule, which in turn affects its physical properties. For example, molecules with higher J values have higher rotational energies and are more likely to undergo rotational transitions.

Can the rotational quantum number J change?

Yes, the rotational quantum number J can change when a molecule undergoes a rotational transition, such as when it absorbs or emits a photon. J can also change when the molecule rotates faster or slower due to changes in temperature or pressure.

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