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Energy required to ionize a hydrogen atom from n=1

by tony873004
Tags: atom, energy, hydrogen, ionize, required
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Feb22-05, 11:46 PM
Sci Advisor
PF Gold
P: 1,542
We were given this formula in class:

[tex]delta E= chR (\frac{1}{1^2} - \frac{1}{inf})[/tex]

the [tex]1/1^2[/tex] is because it is in ground state. So the formula simplifies to

c = 299792000
h = 6.626E-34
R = 10970000

and [tex]1.60217653*10^{19} Joules / eV[/tex]

I get:
[tex]1.36009026784583 * 10^{-37} eV[/tex]

The teacher did it in class and got 13.6 eV

Same answer, just 38 magnitudes off

What am I doing wrong?

** edit ** I figured it out. It's not 19, its -19 for Joules to eV
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Feb23-05, 01:03 AM
Sci Advisor
HW Helper
P: 11,928
There you go:you have scientifically proven that [itex] 10^{-19} [/itex] and [itex] 10^{19} [/itex] are 38 orders of magnitude apart.Congratulations!!


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