A single crystalline aluminum garnet material consisting of Re.sub.3 Al.sub.5 O.sub.12, wherein Re is an element from the group consisting of yttrium, dysprosium, holmium, erbium, thulium and lutecium, and two dyeing additives, the first which is an element from the group consisting of europium in an amount of 10.sup.-3 to 3% by weight and ytterbium in an amount of 0.1 to 61.3% by weight and the second of which is an element from the group consisting of zirconium in an amount from 10.sup.-4 to 1% by weight, silicon in an amount of from 10.sup.-4 to 1% by weight and hafnium in amount of from 10.sup.-3 to 3% by weight.