An x$-$ray diffractometer recorder chart for an element that has either the BCC or the FCC

crystal structure showed diffraction peaks at the following diffraction angles:

$41\mathrm{.}069,47\mathrm{.}782,69\mathrm{.}879,$ and $84\mathrm{.}396.($The wavelength of the incoming radiation was

$0\mathrm{.}15405$ nm$.$

$($a$)$ Determine the crystal structure of the element.

$($b$)$ Determine the lattice constant of the element.

$($c$)$ Identify the element. You will need to reference the lattice parameters in the following link.