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LaI is Tungsten Carbide-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. La is bonded in a 6-coordinate geometry to six equivalent I atoms. All La–I bond lengths are 3.35 Å. I is bonded in a 6-coordinate geometry to six equivalent La atoms.
LaI3 crystallizes in the orthorhombic Cmcm space group. The structure is two-dimensional and consists of two LaI3 sheets oriented in the (0, 1, 0) direction. La3+ is bonded in a 8-coordinate geometry to eight I1- atoms. There are a spread of La–I bond distances ranging from 3.19–3.49 Å. There are two inequivalent I1- sites. In the first I1- site, I1- is bonded in a distorted trigonal non-coplanar geometry to three equivalent La3+ atoms. In the second I1- site, I1- is bonded in an L-shaped geometry to two equivalent La3+ atoms.
La2I5 crystallizes in the monoclinic P2_1/m space group. The structure is two-dimensional and consists of one La2I5 sheet oriented in the (-1, 0, 1) direction. there are two inequivalent La+2.50+ sites. In the first La+2.50+ site, La+2.50+ is bonded to seven I1- atoms to form a mixture of distorted edge and face-sharing LaI7 pentagonal bipyramids. There are a spread of La–I bond distances ranging from 3.26–3.42 Å. In the second La+2.50+ site, La+2.50+ is bonded to seven I1- atoms to form distorted edge-sharing LaI7 pentagonal bipyramids. There are a spread of La–I bond distances ranging from 3.21–3.45 Å. There are five inequivalent I1- sites. In the first I1- site, I1- is bonded in an L-shaped geometry to two equivalent La+2.50+ atoms. In the second I1- site, I1- is bonded in a distorted trigonal non-coplanar geometry to three equivalent La+2.50+ atoms. In the third I1- site, I1- is bonded in a distorted trigonal non-coplanar geometry to three equivalent La+2.50+ atoms. In the fourth I1- site, I1- is bonded in a distorted T-shaped geometry to three La+2.50+ atoms. In the fifth I1- site, I1- is bonded in a distorted T-shaped geometry to three La+2.50+ atoms.