Recent content by Plane Wave
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Graduate Why Are Absorption Cross Sections Larger for Atoms Than for Molecules?
I forgot to add that I think there should be something else. There maybe 100 or so discrete thermally populated states from which the molecule can be excited. That's only 2 orders of magnitude instead of 9.- Plane Wave
- Post #4
- Forum: Atomic and Condensed Matter
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Graduate Why Are Absorption Cross Sections Larger for Atoms Than for Molecules?
My best answer, which I didn't want to put in the original post to corrupt future responses, was the molecule has many possible ground states and the absorption cross section includes the probability the excitation electron happens to be in that vibrational and rotational state. Is that what...- Plane Wave
- Post #3
- Forum: Atomic and Condensed Matter
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Graduate Why Are Absorption Cross Sections Larger for Atoms Than for Molecules?
Why are absorption cross sections for atoms so much larger than that of molecules. For example, the absorption cross section for the D2 line in Rubidium is ~1E-9 cm^2. Specifically, the cross section is basically σ~λ^2 The absorption cross sections for say, I2, is 9 orders of magnitude...- Plane Wave
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- Absorption Cross
- Replies: 5
- Forum: Atomic and Condensed Matter
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Graduate Average Energy and the Equipartition Theorem
Wow, thank you very much Jason. That was incredibly helpful. I very much appreciate the time and effort it took to write that out. Thanks again!- Plane Wave
- Post #6
- Forum: Thermodynamics
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Graduate Average Energy and the Equipartition Theorem
Thank you for the response. Isn't that integral far more general though? I guess what I'm asking is, where in that integral do we specify 2 quadratic degrees of freedom?- Plane Wave
- Post #3
- Forum: Thermodynamics
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Graduate Average Energy and the Equipartition Theorem
The Equipartition Theorem states that each quadratic degree of freedom contributes 1/2 kT of energy. This can be derived for the translational degrees by integrating the average kinetic energy multiplied by the Maxwell velocity distribution: \int_{-\infty }^{\infty } \frac{m v^2}{2}...- Plane Wave
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- Average average energy Energy Theorem
- Replies: 5
- Forum: Thermodynamics
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Graduate Electromagnetic wave energy density
As I said, I can do the math. The question is why is there an exact symmetry. Is your answer that there is simply no reason for there not to be an exact symmetry?- Plane Wave
- Post #3
- Forum: Electromagnetism
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Graduate Electromagnetic wave energy density
An electromagnetic plane wave has an electric field and a magnetic field. Each component contributes equally to the energy density. Mathematically it is very straight forward to show this is true. The question is, "Fundamentally, why is this true?" Again, I'm not looking for a derivation...- Plane Wave
- Thread
- Density Electromagnetic Electromagnetic wave Energy Energy density Wave Wave energy
- Replies: 4
- Forum: Electromagnetism