Obtaining analytical solutions for the crystal-field Stark levels in lanthanide trivalent ions

We propose a code, written in the Maple platform, to evaluate analytical matrix elements of the crystal-field interaction in lanthanide systems. This procedure is a straightforward application of the intermediary coupling scheme. We are able to set analytical equations describing the Stark energy levels. Our algorithm, besides being simple to use, can be applied to describe the crystal-field interaction between the lanthanide trivalent ion and its chemical environment. It provides a convenient way to determine the behavior of crystal field and thus is shown to be an important tool to analyze the spectroscopic properties of lanthanide compounds. (C) 2015 Elsevier B.V. All rights reserved.