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La2AgHg crystallizes in the orthorhombic Immm space group. The structure is one-dimensional and consists of two La2AgHg ribbons oriented in the (1, 0, 0) direction. La is bonded in a linear geometry to one Ag and one Hg atom. The La–Ag bond length is 3.08 Å. The La–Hg bond length is 3.07 Å. Ag is bonded in a linear geometry to two equivalent La atoms. Hg is bonded in a linear geometry to two equivalent La atoms.
La2AgHg is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. La is bonded in a body-centered cubic geometry to four equivalent Ag and four equivalent Hg atoms. All La–Ag bond lengths are 3.36 Å. All La–Hg bond lengths are 3.36 Å. Ag is bonded in a body-centered cubic geometry to eight equivalent La atoms. Hg is bonded in a body-centered cubic geometry to eight equivalent La atoms.