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In: Chemistry

Bragg's Equation Problem X-rays of wavelength .0960nm are diffracted by a metallic crystal, angle of first...

Bragg's Equation Problem

X-rays of wavelength .0960nm are diffracted by a metallic crystal, angle of first order (n=1), is measured to be 17.8. What is the distance (in pm) between the layers of atoms responsible for diffraction?

I do this:

96pm / 2sin17.8 and I keep getting ~173.9pm

The answer is supposed to be 157pm. What am I doing wrong?

Expert Solution

According to Bragg's Equation ,

Where

n = order = 1

= wavelength = 0.0960 nm = 0.0960x10 ^-9 m

d = distance between the layers of atoms = ?

= scattering angle = 17.8 ^o

Plug the values we get

Since 1 pm = 10 ^-12 m

queen_honey_blossom answered 2 hours ago

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