Bragg Scattering: An X-ray diffraction experiment is performed using a geometry

Question

Bragg Scattering: An X-ray diffraction experiment is performed using a geometry like that in Harris Figure 4.6 (and what we showed in class). The X-rays have lambda = 0.26 nm. Constructive interference peaks are observed at angles of theta = 23.0 degree and 51.4 degree, but nothing in between these values. What is the spacing (d) of the atomic planes that produce these peaks? Determine if left hand side is O. o. Omega, omega, theta of the right hand side (recall that $ heta$ means both $O$ and $Omega$; However: if it is theta but you write only O or Omega it is zero points): F(n) versus F(n/2) + F(n/2-1)+...+F(1) in the cases when

Explanation / Answer

Bragg's Law,

2d(sin@) =n* lambda

for n =1 ,

2 x d x sin23 = 1 x 0.26 x 10^-9

d =3.327 x 10^-10 m

for n = 2

2 x d x sin51.4 = 2 x 0.26 x 10^-9

d =3.327 x 10^-10 m ..........Ans

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