A tutorial introduction to the spectra of lanthanide ions is given. The chapter begins with a brief comparison of luminescence of lanthanide ions (Ln 3+ ) in the solid, liquid, and gas phases. Then a description of the importance of nonradiative versus radiative processes is made. The various types of transition of lanthanide ions encountered are then introduced: 4f N -4f N ; 4f N -4f NÀ1 5d; charge transfer; host band-to-band; and defect site or impurity transitions. Reference is briefly made to the spectra of dipositive ions. The luminescence of lanthanide ions in non-lanthanide hosts is examined, and the importance of locating the relative positions of Ln 3+ energy levels relative to the host band gap is stressed. Some of the various upconversion phenomena, including second harmonic generation, twophoton absorption, ground state/excited state absorption, energy transfer upconversion, and photon avalanche, are then described with reference to Ln 3+ and Ln 3+ -TM n+ (transition metal) systems. The experimental distinctions of which particular process is operative in a given system are explained by considering the power, concentration, and lifetime dependences, and the upconversion excitation spectrum. Some applications of lanthanide luminescence are briefly reviewed and a mention of the luminescence in nanomaterials is also included.