## Scripts 1

lattice(d1, d2, d3, p1, p2, p3, p, rad, col, r, rcol, l1, l2, l3, mode=0): Plots crystal structures with any unit cell.

d1 -> length of the unit cell in the x-axis

d2 -> length of the unit cell in the y-axis

d3 -> length of the unit cell in the z-axis

p1 -> angle between x and z-axis of the unit cell

p2 -> angle between y and z-axis of the unit cell

p3 -> angle between x and y-axis of the unit cell

p -> position of the points in the unit cell with format: [[x1, x2, ..., xn], [y1, y2, ..., yn], [z1, z2, ..., zn]]

rad -> radius of the points with format: [rad1, rad2, ..., radn]

col -> colors of the points in the unit cell with format: [col1, col2, ..., coln]

r -> radius of the connecting tubes

rcol -> color of the connecting tubes

l1 -> number of unit cells in the x-axis

l2 -> number of unit cells in the y-axis

l3 -> number of unit cells in the z-axis

mode = 0 -> plot only the points (by default)

mode = 1 -> plots tubes between the nearest neighbors

mode = [[p1, p2], [p3, p4], ..., [pm, pn]] -> plot tubes between the points p(p1)-p(p2), p(p3)-p(p4) ... p(pm)-p(pn) in every unit cell

wi -> Width for the output plots

he -> Height for the output plots

cg(j1, j2, j, m1, m2, m, mode=1): Computes Clebsch-Gordan coefficients.

j1 -> j-value of the first angular momentum

j2 -> j-value of the second angular momentum

j -> j-value of the coupled angular momentum

m1 -> m-value of the first angular momentum

m2 -> m-value of the second angular momentum

m -> m-value of the coupled angular momentum

mode = 0 -> return the clebsch-gordan coefficient squared with its corresponding sign, in fraction form when it's possible

mode = 1 -> return the clebsch-gordan coefficient in decimal form

cgtable(j1, j2, mode=0): Computes tables of Clebsch-Gordan coefficients, the output format is [m1, m2, j, m, C(j1, j2, m1, m2, j, m)].

j1 -> j-value of the first angular momentum

j2 -> j-value of the second angular momentum

mode = 0 -> return the clebsch-gordan coefficient squared with its corresponding sign, in fraction form when it's possible

mode = 1 -> return the clebsch-gordan coefficient in decimal form

RGBtoCMYK(a): This function converts a color in RGB mode to CMYK mode. The input format is a=[R, G, B] and the output format is [C, M, Y, K].

CMYKtoRGB: This function converts a color in CMYK mode to RGB mode. The input format is a=[C, M, Y, K] and the output format is [R, G, B].

WtoRGB: This function converts a visible wavelength (in nanometers) to RGB mode. The output format is [R, G, B].