The radius of the Stationary State of a hydrogen atom

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SUMMARY

The radius of a stationary state of a hydrogen atom is calculated using the formula r = a * n², where a = 0.0529 nm. For n = 2, the radius is r = 0.0529 * 2² = 0.2116 nm. The confusion arose from the distinction between the ground state (n=1) and the first excited state (n=2), with the latter still being a stationary state despite having higher energy. The wavefunction for n=2 remains time-independent, confirming its stationary nature.

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Homework Statement


A Hydrogen atom is in a state with n=2?


Homework Equations


r=an^2
a=.0529 nm

The Attempt at a Solution


I am confused by my book it says that the radius of a stationary state is r=.0529*2^2=.2116 but I disagree isn't the stationary state n=1 which would mean the radius is .0529 nm. I thought n=2 is the first excited state in a hydrogen atom am I wrong?
 
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It's excited, in the sense that it's not the ground state (it has higher energy), but it's still stationary, since the time dependence of the wavefunction for n=2 is again a complex exponential.
 
Ok thanks I understand now
 

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