The spacing between planes with the same Miller Indices in a crystal is called the d-spacing Because the distance between like planes depends on which planes you are considering, the dis d-spacing is modified by the Miller Indices so it has the form duk/. The spacing between planes with the same indices depends on the crystal system of the structure and the lattice parameter(s) of the structure. The spacing between planes is important because it impacts behavior like the ability of metals to plastically deform. The following table shows the relationship among spacing dukl, Miller indices and lattice constants in 3D-crystal systems. Use this table and the Materials Explorer (https://materialsproject.org/) to calculate : Crystal system Cubic Tetragonal Spacing dukl d "hkl Pakl Orthorhombic 62+62+12 a? 17 + 42 a? 12 + 1? 72 K,3 + Hexagonal Monoclinic dikl hkl 12 7 sin? 3 FR K? sin? 3 12 2hl cos 3) + + 67 RI ac (n? + 42 + 13) sin? a + 2(hk: + kl + hl (cos? a - COs a) a2 (1 = 3 cos?a + 2 cos? a) Rhombohedral Triclinic +2523k1 + 2513h1) v2 =0?6?2(1 - cos? a - cos 23 - cos 2y + 2 cos a cos 3 cos y) Si = 63c sin? a, S22 = a? c7 sin? 3, $33 = a76? sin? y, S12 = abe?(cos a cos 3) a. (6 pt) The spacing of the (411) plane of SbCl b. (6 pt) The spacing of the (1011) plane of SbCls