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Material Science- x-ray diffraction and metal densities

  1. Feb 4, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider a metal with an BCC crystal structure and atomic weight 92.91. When monochromatic x-radiation having a wavelength of 0.14 nm is used, the angle of diffraction (2*theta) for the (211) set of planes in this metal occurs at 41.148 ° (first-order reflection).


    Compute the density of this metal in g/cm^3


    The sin function requires input in radians.


    Use decimal notation, digits after decimal: 2

    2. Relevant equations

    a=4R/sqrt(3)

    p=n*A/V*N

    n*lamba=2d(hkl)sin(theta)

    d(hkl)=a/sqrt(h^2 +k^2 + l^2)


    3. The attempt at a solution

    i basically broke down the equation into P=(2Asin(theta)) / ((a^2)(sqrt(h^2+k^2+l^2))

    but for the vaule of a..... i don't have the radius to find the vaule of a soo any hints would be nice :)
     
  2. jcsd
  3. Feb 5, 2012 #2

    Borek

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    Staff: Mentor

    What is known, what is unknown?
     
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