An overview is given of recent advances in experimental and theoretical
understanding of optical properties of ultra-thin crystal structures (graphene,
phosphorene, silicene, MoS2, MoSe2 , WS2 , WSe2 , h-AlN, h-BN, fluorographene,
graphane). Ultra-thin crystals are atomically-thick layered crystals that have
unique properties which differ from their 3D counterpart. Because of the
difficulties in the synthesis of few-atom-thick crystal structures, which are
thought to be the main building blocks of future nanotechnology, reliable
theoretical predictions of their electronic, vibrational and optical properties
are of great importance. Recent studies revealed the reliable predictive power
of existing theoretical approaches based on density functional theory (DFT)
