As you ns just questioned in the Spectral currently page, electrons fall to lower power levels and also give off light in the type of a spectrum.

You are watching: How to find n initial from wavelength

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These spectral lines space actually specific amounts of energy for once an electron transitions come a lower energy level. If you assume the energy levels of an atom to it is in a staircase; if you roll a round down the stairway the round only has actually a few "steps" that it have the right to stop on. This is the same case an electron is in. Electrons can only occupy specific energy level in one atom. It many be on an power level if the is in the atom. There is no in between. This is why you obtain lines and not a "rainbow" of colors once electrons fall.

Jahann Balmer in 1885 obtained an equation to calculate the clearly shows wavelengths the the hydrogen spectrum displayed. The lines that appear at 410nm, 434nm, 486nm, and also 656nm. This electrons space falling come the second energy level from higher ones. This shift to the 2nd energy level is currently referred to together the "Balmer Series" of electron transitions.

Johan Rydberg usage Balmers work-related to obtained an equation for every electron transitions in a hydrogen atom.

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Right here is the equation:

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R= Rydberg consistent 1.0974x107m-1; λis the wavelength; nis same to the energy level (initial and final)

If we wanted to calculate energy we can change R by multipling by h (planks constant) and also c (speed that light)

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Now we have actually Rydbergs equation to calculation energy.

RE= -2.178 x 10-18J (it is an unfavorable because power is being emitted)

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l = h c /E

l = ( 6.626 x 10- 34J s) (3.0 x 108m/s)/E

1nm= 1 x 10-9m

Electron TransitionEnergy (J)Wavelength (Meters)Wavelength (nm)Electromagnetic region
Paschen series (to n=3)
n=4 come n=31.06 x 10-191.875 x 10-61875Infrared
n=5 to n=31.55 x 10-191.282 x 10-61282Infrared
Balmer collection (to n=2)
n=3 come n=23.03 x 10-196.56 x 10-7656visible
n=4 to n=24.09 x 10-194.86 x 10-7486visible
n=5 to n=24.58 x 10-194.34 x 10-7434visible
n=6 to n=24.84 x 10-194.11 x 10-7411visible
Lyman collection ( come n=1)
n=2 come n=11.632 x 10-181.22 x 10-7122Ultraviolet
n=3 to n=11.93 x 10-181.03 x 10-7103Ultraviolet
n=4 come n=12.04 x 10-189.73 x 10-897.3Ultraviolet
n=5 to n=12.09 x 10-189.50 x 10-895.0Ultraviolet
Converting Wavelength come frequency
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c= 3.0 x 108m/s ;l = wavelength (m) ;v= frequency (s-1)
Wavelength (m)Frequency (s-1)
1.875 x 10-61.6 x 1014
1.282 x 10-62.34 x 1014
6.56 x 10-74.57 x 1014
4.86 x 10-76.17 x 1014
4.34 x 10-76.91 x 1014
4.11 x 10-77.30 x 1014
1.22 x 10-72.45 x 1015
1.03 x 10-72.91 x 1015
9.73 x 10-83.08 x 1015
9.50 x 10-83.15 x 1015
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