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# Complete the data table/Initial and final quantum numbers? #5 Draw a planetary model of the

hydrogen atom and show the various transitions responsible for the visible emission spectrum of hydrogen

Data Table Initial and Final Quantum Numbers
Line Color
ni
5. Draw a planetary model (solar system model) of the hydrogen atom and
show the various transitions responsible for the visible emission spectrum of
hydrogen. Label the transitions by either color or wavelength.
34

Using equation 3.0, the energies of the final and initial states can be written as
En - - Ru(1/n7)
(4)
Ery = - RH(1/ n/)
(5)
AE - Eny - En, = - Ru(1/no) + Ru(1/n/) - RH(1/np - 1/n/) (6)
AE = hv
(7)
Setting the results of equations 6.0 and 7.0 equal to one another
v = (RH/h)[1/n2 - 1/nr)
(8)
where Ru is Rydberg's constant, h is Planck's constant, n is the principal
quantum number of the initial state and my is the principal quantum number of
the final state:
EXPERIMENTAL PROCEDURE
1. From a literature source, obtain the known wavelengths for the four emission
lines in the visible wavelength range for hydrogen and record them in the
table below.
Data Table
Line Color and Wavelengths
Line Color
Line Wavelength(nm)
(Literature)
Thed
yellow
monm
2. Using the literature values for the wavelengths, convert these wavelength
values to frequencies using the relationship
V -c/ 2
191
where v is the frequency in sec ', c is the speed of light ( x 105 m/sec) and ) Is
the wavelength in nanometers. Record these frequencies in the following table.
Violet = ( 3x 10&quot;) /(4x10 ) 7.5x 10&quot; he
green : ( 3x 100) ) (5x 10 7)= GRIM hz
yellow = ( 34 10 )/(5. 25 x 10-1):5.129 x1014 hz
Red = ( 3x 10# ) / (6.5 x 10-7)= 4.415 x 101 h2 32

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