Deriving values from experimental data (algebra help)

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SUMMARY

The discussion centers on deriving the values of R and p in the equation E_{B} = -RZ^{2}n^{p}, specifically for a hydrogen atom where Z is set to 1 and p is known to be 2. The user has utilized the NIST Atomic Spectra Database to obtain binding energy levels but has encountered difficulties in calculating R and p from the experimental data. A suggestion was made to plot the data on a log-log scale to facilitate the determination of these values, indicating a method for visual analysis of the relationship between the variables.

PREREQUISITES
  • Understanding of quantum mechanics, specifically the concept of principal quantum numbers.
  • Familiarity with the equation E_{B} = -RZ^{2}n^{p} and its components.
  • Experience with data analysis techniques, particularly log-log plotting.
  • Knowledge of accessing and interpreting data from the NIST Atomic Spectra Database.
NEXT STEPS
  • Learn how to perform log-log plotting in data analysis software such as Python with Matplotlib.
  • Research methods for fitting experimental data to theoretical models using regression analysis.
  • Explore the significance of the Rydberg constant in atomic physics and its derivation.
  • Investigate additional resources on extracting physical constants from experimental data.
USEFUL FOR

Students and researchers in physics, particularly those focused on quantum mechanics and experimental data analysis, will benefit from this discussion.

meriadoc
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One more question -

I'm working on a problem in which I need to determine the values of R and p in the equation:

[itex]{E_{B} = -RZ^{2}n^{p}}[/itex]

Where Z is 1 (we're using a hydrogen atom), and n is the principle quantum number of the electron. I know p is 2, but the point of the exercise is the determine its value from experimental data.

So I've used

http://physics.nist.gov/PhysRefData/ASD/levels_form.html

To get the binding energy levels from experimental data, and according to the problem, this should be enough information to derive values for R and p in the above equation, but I've tried and failed to do so. Can anyone show me how it might be done?

Cheers!
 
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meriadoc said:
One more question -

I'm working on a problem in which I need to determine the values of R and p in the equation:

[itex]{E_{B} = -RZ^{2}n^{p}}[/itex]

Where Z is 1 (we're using a hydrogen atom), and n is the principle quantum number of the electron. I know p is 2, but the point of the exercise is the determine its value from experimental data.

So I've used

http://physics.nist.gov/PhysRefData/ASD/levels_form.html

To get the binding energy levels from experimental data, and according to the problem, this should be enough information to derive values for R and p in the above equation, but I've tried and failed to do so. Can anyone show me how it might be done?

Cheers!

Think about plotting the data on a log-log plot. How would you determine R and p on such a plot?
 

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