When X$-$rays of wavelength$$

$0\mathrm{.}0940$nm

$$are diffracted by a metallic crystal, the angle of first$-$order diffraction$$

$=$n$1$

$$is measured to be$$

$17\mathrm{.}7$

$.$What is the distance $($in$$

pm

$)$ between the layers of atoms responsible for the diffraction?

Round your answer to$$

$3$

$$significant digits.

pm