Bohr radius for single electron orbits

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  • #1
xiankai
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for ions with more than one proton ie. He+, Li2+ and Be3+, doesn't the extra charge factor into the equation? because it seems only the elementary charge is http://en.wikipedia.org/wiki/Bohr_radius" [Broken], hence rendering it independent of amount of positive charge present.
 
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  • #2
jtbell
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for ions with more than one proton ie. He+, Li2+ and Be3+, doesn't the extra charge factor into the equation?

Yes. For ions with a single electron but [itex]Z[/itex] protons, replace [itex]e[/itex] with [itex]Ze[/itex], where [itex]e[/itex] is the unit charge [itex]1.60 \times 10^{-19}[/itex] C.

Most textbooks do the derivation with hydrogen in mind, and later make the above correction for heavier, hydrogen-like ions.
 
  • #3
xiankai
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got it. thanks for the quick reply!
 

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