Electron in infinite well equation

AI Thread Summary
To estimate the energy of an electron confined in an infinitely deep well of width 0.1 nm, the appropriate equation to use is E=(n^2 hbar^2 π^2)/(2m L^2). This equation applies to one-dimensional quantum mechanics, which is suitable given the problem's context. The ground state corresponds to n=1, allowing for the calculation of the energy in electron volts (eV). The discussion confirms that the assumption of a one-dimensional model is valid for this scenario. The focus remains on applying quantum mechanics principles to solve the problem effectively.
ZedCar
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Homework Statement



An electron is confined in an infinitely deep well of width 0.1nm, about the size of an atom. Estimate the energy of the ground state in eV.

Homework Equations



Is this the equation I should be using?

E=(n^2 hbar^2 ∏^2)/(2m L^2)



The Attempt at a Solution

 
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ZedCar said:
Is this the equation I should be using?
Yes, assuming you're using 1-dimension. (The way the problem statement was worded, it sounds to me like 1-dimentional quantum mechanics is a reasonable assumption.)
 

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