Balmer Series Fit Using More Accurate CRC Data

  The hydrogen wavelengths in air found in the CRC Handbook of Chemistry & Physics are lines of the Balmer series and I got better results for a fit of these lines.

One has to use the reduced mass of the electron to get R_H=R_∞/(1+m_e/m_p) where m_e and m_p are the electron and proton masses to compute the limit of the series in air and divide that by the index of refraction for air to get the limit of the series for air.

The index of refraction for air is a function of wavelength and that also affects the observed values and so the fit has an error that varies with the number of the series.