This study considers the reflective characteristics of three-component Si/Al/Sc multilayer mirrors with a MoSi2 protective cap layer as candidates for telescopes for observation of the solar corona in the He I ( λ=58.4nm ) spectral line. At 58.4 nm, a peak reflectance of 32% and a spectral width at a half-maximum intensity of Δλ=5.4nm are obtained. The temporal stability of the reflectance at λ=58.4nm for Si/Al/Sc samples with a 6 nm thick MoSi2 cap layer is investigated during storage in air for 20 months.