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LaAg2Hg crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two LaAg2Hg ribbons oriented in the (1, 0, 0) direction. La is bonded in a linear geometry to two equivalent Ag atoms. Both La–Ag bond lengths are 3.01 Å. Ag is bonded in a linear geometry to one La and one Hg atom. The Ag–Hg bond length is 2.91 Å. Hg is bonded in a linear geometry to two equivalent Ag atoms.
LaAg2Hg is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. La is bonded in a distorted body-centered cubic geometry to eight equivalent Ag and six equivalent Hg atoms. All La–Ag bond lengths are 3.14 Å. All La–Hg bond lengths are 3.63 Å. Ag is bonded in a distorted body-centered cubic geometry to four equivalent La and four equivalent Hg atoms. All Ag–Hg bond lengths are 3.14 Å. Hg is bonded in a 8-coordinate geometry to six equivalent La and eight equivalent Ag atoms.