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Calculate the energy for n=3 from the equation: ; for the hydrogen atom (z=1)

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1. The Balmer equation is ; where RH = 1.0973731534 X107 m and n must be greater than 2.
a. Calculate the wavelength in nanometers for a transition from n=5 according to the Balmer equation.
b. The next series of elements in the periodic table with begin in the 9th row. What wavelength would be observed for a transition from n=9 in the hydrogen atom according to the Balmer equation?
2. Bohr generalized the Balmer equation as follows: ; where ni ˂ nf.
a. What is the wavelength for a transition from n= 5 to n=1?
3. The Bohr equation can be expressed in terms of energy as: ; where RH = 2.1798736 X10-18 J and ni ˂ nf.
a. What is the energy associated with the transition from n=5 to n=1?
b. What energy would be associated with a transition from n=9 to n=6?
4. Calculate the energy for n=3 from the equation: ; for the hydrogen atom (Z=1)
5. Calculate the energy for n=5 from the equation: ; for the Li2+ ion atom (Z=3)
6. Calculate the radius for n=8 from the equation: ; where a0 = 0.5292 Å.
7. Calculate the radius for n=4 from the equation: ; where a0 = 0.5292 Å for the He+ ion where Z=2 and compare to the value for the hydrogen atom where Z=1.

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