- #1
Dante Tufano
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1. Consider a cubic crystal as shown in the figure below. As this single crystal is rotated in an x-ray spectrometer, many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in the figure.
http://capa.sci.geneseo.edu/p223library/p223Graphics/Gtype02/crystal.GIF
Suppose the wavelength of the x-rays is l = 3.14 nm. Find the angle (with respect to the surface plane AA) of the n = 1 intensity maxima resulting from scattering from planes with spacing d1.
n*λ=2*d1*sinθ
So I found the value of d1 using the geometry of the diagram. I tried using the equation to find θ, and got a value of about .065 radians. However, this is apparently wrong. Any ideas on why this isn't right?
http://capa.sci.geneseo.edu/p223library/p223Graphics/Gtype02/crystal.GIF
Suppose the wavelength of the x-rays is l = 3.14 nm. Find the angle (with respect to the surface plane AA) of the n = 1 intensity maxima resulting from scattering from planes with spacing d1.
Homework Equations
n*λ=2*d1*sinθ
The Attempt at a Solution
So I found the value of d1 using the geometry of the diagram. I tried using the equation to find θ, and got a value of about .065 radians. However, this is apparently wrong. Any ideas on why this isn't right?