http://www.ck12.org Chapter 24. Atomic Physics
1
λ=R
(
1
n^2 l−
1
n^2 h)
= ( 1. 097 × 107 m−^1 )(
1
32
−
1
42
)
= 533 , 263. 9 →l= 1. 875 × 10 −^6 m= 1 , 875 nmMethod 2
h f=Eh−El=E 1
n^2 h−
E 1
n^2 l= (− 13. 6 eV)(
1
42
−
1
32
)
= 0. 6611 eV→ 1. 06 × 10 −^19 J→h f= 1. 05777 × 10 −^19 J→h
c
λ= 1. 05777 × 10 −^19 J→
λ=( 6. 626 × 10 −^34 J−s)(
3. 00 × 108 ms)
1. 06 × 10 −^19 J
= 1. 875 × 10 −^6 m= 1 , 875 nmWe have kept the same number of significant digits for comparison to Method 1.
Method 2 directly exhibits the quantized energy levels within the hydrogen atom.
For more information on the Bohr atom follow the links below.
http://demonstrations.wolfram.com/BohrsOrbits/