The metal niobium crystallizes in a body centered cubic unit cell. ?

The metal niobium crystallizes in a body centered cubic unit cell. When X-rays with λ = 0.8302 Å are used, the second-order Bragg reflection from a set of parallel planes in a(n) niobium crystal is observed at an angle θ = 14.57°. If the spacing between these planes corresponds to the unit cell length (d = a), calculate the edge length of the niobium unit cell. 

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  • 1 month ago

    Bragg's law: 2 d sinθ = n λ

    For second-order, n = 2:

    2 d sinθ = 2 λ

    d = λ / sinθ = 0.8302 / sin14.57° Å = 3.300 Å

    The edge length of the niobium unit cell, a = d = 3.300 Å

  • Dr W
    Lv 7
    1 month ago

    did you try looking up bragg reflection?

    https://www.britannica.com/science/Bragg-reflectio...

    note the relationship between dsinθ and wavelength and "d" the spacing between the lines (this is your unit cell edge length)

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