Three weaker hydrogen lines just beyond the violet end of the four visible Balmer…

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · One-electron atoms and the origins of atomic structure · One-electron atoms and the origins of atomic structure

Reading the Spectrum, Ch Lines, series and the term diagram: what a spectrometer measures

Problem

Three weaker hydrogen lines just beyond the violet end of the four visible Balmer lines are reported as vacuum wavenumbers:

25181.1

25705.7

and

26065.4\,\mathrm{cm^{-1}}

(NIST ASD). They crowd towards a limit a little above

27000\,\mathrm{cm^{-1}}

. ((a)) Identify the series (

n_1

) and assign an upper level

n_2

to each line. ((b)) Fit

R_{\rm H}

from the three lines. ((c)) Give the term values

T_2

T_7

T_8

and

T_9

\mathrm{cm^{-1}}

, and describe the term diagram: where the series limit sits and how the three lines appear as arrows on it.

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