2.6.2 Rare-Earth Ions Rare-earth ions, also referred to as the Lanthanides, play an important role in much of modern optical technology as the active constituents of materials. There are an amazing number of applications for these rare-earth-activated optical materials and much of today's cutting-edge optical technology and future innovations rely on their unique properties. The lanthanide series have an electron configuration of: Is2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 4d10 5p6 6s2 4f". First, it can easily be shown that f shells of rare-earth ions are only partially filled. These partially filled shells of f electrons give rise to spectrally narrow localized electronic transitions that occur at wavelengths ranging from the far- infrared to the vacuum-ultraviolet and provide the basis for optical technology in which light may dynamically interact with a material that contains these ions. The qualitative energy level schemes and emission lines for various rare earth elements, such as Nd, Er and Tm (Tm and Er are used in this research) are shown in Fig 2.10 [50]. Secondly, it can also be shown from the electron configuration that the 4f levels of rare-earth ions are shielded by the 5s and 5p electrons so that the 4f electrons remain highly localized to the ion and their optical transitions maintain much of an atomic-like character. This characteristic of the rare-earth ions arises from the unique situation in which the lowest-energy electrons are not spatially the outermost electrons of the ion, and thus have a limited direct interaction with the ion's environment. Fig 2.11 shows the radial positions of the outer orbital of the Ce3+ ion. The "shielding" of the 4f electrons from the environment by the outer filled shells of 5s and 5p electrons prevents the 4f electrons from directly participating in bonding and allows them to maintain much of the