Gold has an fcc crystal structure. The cell parameter (lattice constant) is 0.408 nm. 1) Determine the distance (d-spacing) between the [311] and [111] planes; 2) Sketch the [110] direction in the unit cell and determine the linear density of gold; 3) Sketch the [111] plane in the unit cell and determine the planar (plane) density of gold; 4) Determine the atomic radius of gold; 5) Use the cell parameter and the radius of gold to determine the atomic packing factor (APF) of gold in this fcc structure. 6) Can gold atoms be packed denser in other structure/s than this fcc structure? Why