Crystallography, diffraction, identifying the pure element

adamaero
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Homework Statement


The only things you know about the sample are: (i) it has some kind of cubic lattice, and (ii) it is a pure element. Identify the element in the crystalline sample.
SC: R = 0.5a
FCC: R = 0.25a√2
BCC: R = 0.25a√3

Distances from Bragg peaks:
d1 = 0.2037 nm
d2 = 0.1746 nm
d3 = 0.1244 nm

Homework Equations


n λ = 2dhklsin θ

d = a/√(h2+k2+l2)

The Attempt at a Solution


Assuming the above is correct, I'm stuck.
I think I need a table or something of each element. Extra
Related questions
Related complete problems
  • https://ocw.mit.edu/courses/materials-science-and-engineering/3-091sc-introduction-to-solid-state-chemistry-fall-2010/crystalline-materials/self-assessment-crystalline-materials/MIT3_091SCF09_sa4_supp_sol.pdf
  • https://ocw.mit.edu/courses/materials-science-and-engineering/3-091sc-introduction-to-solid-state-chemistry-fall-2010/crystalline-materials/16-crystallographic-notation-x-rays/MIT3_091SCF09_hw16_sol.pdf
 
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