Probability of a spin flip transition in neutral hydrogen

• Stengah
In summary, the conversation discusses the calculation of the probability of a spin flip transition in the ground state of neutral hydrogen, which produces the 21-cm line. The desired answer is 2.9\times10^{-15} s^{-1} but the process to get there is unclear, possibly involving the use of the Boltzmann equation and determining the necessary energies. Assistance is requested.
Stengah

Homework Statement

I'd like to calculate the probability of a spin flip transition occurring in the ground state of neutral hydrogen. That is, the transition from parallel to anti-parallel spin configuration of the electron and proton. This transition produces the 21-cm line.

?

The Attempt at a Solution

The answer is well known to be $$2.9\times10^{-15} s^{-1}$$
but I'm not sure how to get there. Right now I'm mostly just looking for a rough outline of what it would take.

I'm guessing that it involves using the Boltzmann equation, but I'm not sure what kind of energies I'd need, nor what formula to use. Any help would be greatly appreciated.

1. What is a spin flip transition in neutral hydrogen?

A spin flip transition in neutral hydrogen occurs when the spin of the electron in a hydrogen atom changes from being aligned with the spin of the proton to being anti-aligned. This change in spin can be induced by an external magnetic field or through collisions with other atoms or particles.

2. How is the probability of a spin flip transition calculated?

The probability of a spin flip transition in neutral hydrogen is calculated using quantum mechanical principles and equations. It takes into account factors such as the energy difference between the two spin states, the strength of the external magnetic field, and the interactions between the electron and other particles in its environment.

3. What factors affect the probability of a spin flip transition?

The probability of a spin flip transition in neutral hydrogen is affected by several factors, including the strength of the external magnetic field, the temperature of the environment, and the density of the surrounding particles. These factors can influence the energy levels and interactions of the electron, which in turn affect the likelihood of a spin flip transition.

4. Why is the probability of a spin flip transition important in astrophysics?

The spin flip transition in neutral hydrogen is an important process in astrophysics because it can affect the emission and absorption of radiation from hydrogen atoms in the interstellar medium. This, in turn, can provide valuable information about the physical conditions and dynamics of celestial objects.

5. Can the probability of a spin flip transition be observed in experiments?

Yes, the probability of a spin flip transition in neutral hydrogen can be observed and measured in experiments using techniques such as spectroscopy. By analyzing the emission or absorption spectra of hydrogen atoms, scientists can determine the likelihood of spin flip transitions and gain insights into the properties of the atoms and their surroundings.

Similar threads

• Advanced Physics Homework Help
Replies
1
Views
2K
• Advanced Physics Homework Help
Replies
12
Views
5K
• Advanced Physics Homework Help
Replies
9
Views
3K
• Advanced Physics Homework Help
Replies
7
Views
1K
• Advanced Physics Homework Help
Replies
1
Views
2K
• Atomic and Condensed Matter
Replies
1
Views
1K
• Advanced Physics Homework Help
Replies
1
Views
4K
• Advanced Physics Homework Help
Replies
1
Views
2K
• Advanced Physics Homework Help
Replies
2
Views
3K
• Advanced Physics Homework Help
Replies
1
Views
6K