FCC lattice

[ArminM99]

How do I create by mod3d a face-centered cubic lattice with a fill factor of 74٪ such that the diameter of the cube is four times the radius of the spheres?

[Mote3D]

@ArminM99, Mote3D is more geared towards creating random particle packings, however, generation of a face-centered cubic close packed unit cell can easily be implemented, e. g.:

## Generation of close packed FCC unit cell

## Enter sphere radius:
R = 1.5;

## Compute unit cell edge length:
box_length = 2*sqrt(2)*R;

## Allocate memory:
P_mat = zeros ([14, 4]);
R_vec = zeros ([14, 2]);

## Assign coordinates of sphere centres:
P_mat(1:4,:) = eye(4)*box_length;
P_mat(5:8,:) = (ones(4, 4)-eye(4))*box_length;
P_mat(9:11,:) = (ones(4, 4)-eye(4))(2:4,:)*0.5*box_length;
P_mat(12:14,:) = (ones(4, 4)+eye(4))(2:4,:)*0.5*box_length;
P_mat(1:14,1) = (1:14);

R_vec(1:14,1) = (1:14);
R_vec(1:14,2) = R;