Material Science- x-ray diffraction and metal densities

  • Thread starter maiad
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Homework Statement



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

Homework 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)


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 :)
 

Answers and Replies

  • #2
Borek
Mentor
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n*lamba=2d(hkl)sin(theta)

What is known, what is unknown?
 

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