Hmm, quantum physics?

[kikatsu]

The Bragg formula actually plugs a hole in something I am working with, just about. The k, or n in some places I have noticed needs to be an integer based on the multiple of the wavelength of the radiation hitting it.

What I am working with now is something with neutrons that have been slowed to 3000 m/s , which are scattered by a crystal with 10^-10 m separation between the layers. I am trying to figure out the angle of the first consecutive scatter pattern.

I was able to get their De Broglie wavelength (I think) with λ=h/mv which should be (6.63*10^-34) / ((3000)(1.674*10^-27 kg)) which gets me 1.32*10^-10

Now I can plug that into the Brag equation and with a little rearranging I can get it down to 1351.68=sinϑ/n .... (need to solve for sinϑ ultimately)
sinϑ=nλ/2d ... (n*(1.32*10^-10) / ((2(10^-10)) is what I got that from

but that n is giving me trouble now, there must be a way to solve for it, I can't seem to figure that out though... that or I may have missed something.