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## Homework Statement

The spectrum shows the series 3p -

*n*d,

*n*= 4 - 7 in Na as well as the resonance line 3s - 3p, with the experimental vacuum wavelengths in Å.

Calculate the quantum defect for the nd ##^2D##

*n*= 4-7 terms. Estimate, as accurately as possible, the wavelength for 3p - 8d. The ionization energy in Na I is 41449.6 cm-1. Neglect all finestructure.

## Homework Equations

##E_{ionization} - E_{excitation} = T = R\frac{(z-N_{inner})^2}{(n-\delta)^2}##

## The Attempt at a Solution

Hi!

I can take the inverse of the given wavelength, to get T. ##\frac{1}{\lambda} = T##.

Then I can plug this into the above equation and solve for delta. ##\delta = n - sqrt(\frac{R*(z-N_{inner})^2)}{T})##

But my question is. Do I also need to take the quantum defect for p into account?

Where my ##T = R*(z-N_{inner})^2 ( \frac{1}{(n-\delta_p)^2} - \frac{1}{(n-\delta_d)^2}) ##

And if so, how would I get ##\delta_p##?

If it was s, I could impy solve for ##delta_s## when putting ##T= E_{io}##.

Figure attached