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A sample of a crystalline solid scatters...

A sample of a crystalline solid scatters a beam of X-rays of wavelength `70.93` pm at an angle `2 theta` of `14.66^(@)`. If this is a second-order reflection `(n = 2),` calculate the distance between the parallel planers of atoms from which the scattered beam appears to have been reflected.

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The Bragg.s equation is given as, n `lambda = 2d sin theta`
`n=` order of reflection `=2`
`lambda =2` wave length of X-rays `=7.09 xx 10^(-11) `m
`theta =` Angle of reflection `=7.33^(@)`
`d=` distance between parallel planes
Distance between parallel planes `=d= (lambda)/( sin theta) = (7.09 xx 10^(-11) )/ ( sin 7.33^(@) ) = 6.18 xx 10^(-10) m`
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