This study of the spectral properties of Ca-sulfates was initiated to support remote detection of these minerals on Mars. Gypsum, bassanite, and anhydrite are the currently known forms of Ca-sulfates. They are typically found in sedimentary evaporites on Earth, but can also form via reaction of acidic fluids associated with volcanic activity. Reflectance, emission, transmittance, and Raman spectra are discussed here for various sample forms. Gypsum and bassanite spectra exhibit characteristic and distinct triplet bands near 1.4–1.5 μm, a strong band near 1.93–1.94 μm, and multiple features near 2.1–2.3 μm attributed to H₂O. Anhydrite, bassanite, and gypsum all have SO₄ combination and overtone features from 4.2–5 μm that are present in reflectance spectra. The mid-IR region spectra exhibit strong SO₄ ν₃ and ν₄ vibrational bands near 1150–1200 and 600–680 cm⁻¹ (~8.5 and 16 μm), respectively. Additional weaker features are observed near 1005–1015 cm⁻¹ (~10 μm) for ν₁ and near 470–510 cm⁻¹ (~20 μm) for ν₂. The mid-IR H₂O bending vibration occurs near 1623–1630 cm⁻¹ (~6.2 μm). The visible/near-infrared region spectra are brighter for the finer-grained samples. In reflectance and emission spectra of the mid-IR region the ν₄ bands begin to invert for the finer-grained samples, and the ν₁ vibration occurs as a band instead of a peak and has the strongest intensity for the finer-grained samples. The ν₂ vibration is a sharp band for anhydrite and a broad peak for gypsum. The band center of the ν₁ vibration follows a trend of decreasing frequency (increasing wavelength) with increasing hydration of the sample in the transmittance, Raman, and reflectance spectra. Anhydrite forms at elevated temperatures compared to gypsum, and at lower temperature, salt concentration, and pH than bassanite. The relative humidity controls whether bassanite or gypsum is stable. Thus, distinguishing among gypsum, bassanite, and anhydrite via remote sensing can provide constraints on the geochemical environment.