Chemical Forums
Chemistry Forums for Students => Physical Chemistry Forum => Topic started by: AforC on January 05, 2010, 03:43:45 AM
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Hello
I would be really grateful if somebody could help me with the question below, I really don't know where to start.
Calculate the spacing between the energy levels with n=5 and n= 6 of an electron in a 1D
box of length 5 nm.
Thank you
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google "particle in a box" then come back with what you've found.
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I have checked on Wikipedia and found some useful equations.
thanks
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The energy for each quantum number n, in a 1D box can be calculated using the equation below
E = (n h^2)/8 m L
Where h is Planck's constant
m is the mass of the particle
and L is the length of the box
The energy difference between two energy levels is then found using:
:delta: E = ((h^2)/ 8 m L)(2n +1)
the lowest n value is used in the above calculation.
Sorry for writing out the equations but I don't really know how to insert an image!!!
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The energy for each quantum number n, in a 1D box can be calculated using the equation below
E = (n h^2)/8 m L
Where h is Planck's constant
m is the mass of the particle
and L is the length of the box
The energy difference between two energy levels is then found using:
:delta: E = ((h^2)/ 8 m L)(2n +1)
the lowest n value is used in the above calculation.
It is
E = (n^2 h^2) / (8 m L^2)
:delta: E = (2n + 1) (h^2) / (8 m L^2)
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yup my mistake!