[AforC]

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

[rajan]

google "particle in a box" then come back with what you've found.

[AforC]

I have checked on Wikipedia and found some useful equations.
thanks

[AforC]

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!!!

[Juan R.]

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)

[AforC]

yup my mistake!