Array¶

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This section allow for a definition repeating array of the SphereCut in an axis-aligned lattices. The array is spanned by two lattice vectors $\pvec{a}_1$ and $\pvec{a}_2$ , the structures is replicated at positions displaced by

$\begin{eqnarray*} \pvec{d}_{l_1, l_2} & = & \pvec{a}_1\cdot l_1 + \pvec{a}_2 \cdot l_2 \end{eqnarray*}$

with integers $l_1$ and $l_2$ . The lattice vectors are defined by their lengths $[a_1, a_2]$ (LatticeVectorLengths)

$\begin{eqnarray*} \pvec{a}_1 & = & a_1\cdot[1; 0] \\ \pvec{a}_2 & = & a_2\cdot[0; 1]. \end{eqnarray*}$