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## Homework Statement

Electrons in atoms are known to have energies in the range of a few eV. Show that the uncertainty principle allows electrons of this energy to be confined in a region the size of an atom (0.1 nm)

## Homework Equations

[tex]\Delta[/tex]x[tex]\Delta[/tex]p [tex]\geq[/tex] h bar / 2

[tex]\Delta[/tex]E[tex]\Delta[/tex]t [tex]\geq[/tex] h bar / 2

## The Attempt at a Solution

h bar = 6.58 x 10^-16 eV * s

[tex]\Delta[/tex]x = .1 nm

I know that if there was an uncertainty relationship between Energy and displacement I could set h bar and [tex]\Delta[/tex]x to the values given and show that this is possible, but I can't figure out how to find an energy position uncertainty relation.