“…Trivalent neodymium ion (Nd 3+ ) doped crystals such as Nd:Y 3 Al 5 O 12 (Nd:YAG), Nd:Gd 3 Sc 2 Ga 3 O 12 (Nd:GSGG), Nd:Gd 3 Ga 5 O 12 (Nd:GGG) and Nd:Y 3 Sc 2 Ga 3 O 12 (Nd:YSGG) have been regarded as excellent materials for generating the infrared lasers which have been widely used in medicine, biology, laser displays and material processing [1][2][3]. By replacing some of the Yb 3+ ions with Gd 3+ ions in Nd:YSGG, a new Nd 3+ doped gadolinium yttrium scandium gallium garnet crystal with the structural formula Nd:Gd 3x Y 3(1−x) Sc 2 Ga 3(1+δ) O 12 (x = 0-1, δ = −0.2 − 0.2) (or Nd:GYSGG) has recently been successfully designed at the Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences [4,5].…”