Neutron collision in quantum mechanics

[Frank Einstein]

Homework Statement

Good morning or afternoon. My quantum physics teacher has given me a task: Given a neutron beam of mass 1.27*10^-27 kg and known energy E impacts on a lineal chain of atoms with a known distance between two of them l. A detector intercepts the wave diffracted an angle o.

I have to a) describe qualitatively what happens at the detector as a function of the energy and b) for E=E1, find l as a function of E1 and o. Then find it for the numerical values o= 30 degrees and E1= 1.3*10^-20 J.

I have a drawing, but I don’t know how to post it.

Homework Equations

E=(mN^2*C^4+PN^2*C^2)^(1/2)
P= h/wavelength
E= h*frequency

The Attempt at a Solution

[/B]
The only thing I can think of is to think that the neutrons are waves instead of particles, these waves reflex on the chain of atoms and keep moving with a certain angle. The energy of the neutron is E=(mN^2*C^4+PN^2*C^2)^(1/2) and P= h/wavelength. So that, E= (mN^2*C^4+(h/wavelength)^2)^(1/2), then I find the wavelength and say that is smaller than a atomic radius, so that’s why the collision happens.

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?

 

[Frank Einstein]

Don't worry, I have already solved it, sorry for the awful choice of words, but I am translating the problem, so I can't find the propper way to show the proper formulation.