Abstract
The Schottky specific heats and magnetic susceptibilities of the Nd3+ in five doped garnets, GGG, LuAG, LuGG, YAG and YGG, have been calculated using effective spin Hamiltonian formalism in connection with the crystal field theory in a temperature interval of 30 to 500 K. Both heat capacities and susceptibilities are determined by two different methods. The first method is dealing with the diagonalization of the effective spin Hamiltonian and then obtaining the quantities in a very general way of quantum statistical mechanics. The second method is based on the cumulant expansion of partition function and utilizing the invariance properties of the trace of the Hamiltonian matrices. It is thought that the specific heat and the susceptibility calculations may help to refine the crystal field parameters of such crystals.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
