Exchange energy in diamagnetically diluted iron borate-based crystals

The analytical relation between the microscopic aex and macroscopic Edil exchange constants for diluted iron-gallium borates has been obtained. A computer code implementing a calculation of the macroscopic exchange constant for diluted iron-gallium borates has been put forward. A diamagnetically diluted crystal lattice has been generated using Monte-Carlo technique. We have found that the absolute value of the macroscopic exchange constant for diluted iron-gallium borates decreases with decreasing x, following a parabolic law.