CdGd2(WO4)4-†single　crystal　was　grown　using　the　Czochralski＇s　method.　The　crystal　structure　was　tetragonal　scheelite　with　lattice　parameters　a　=　b　=　0.5203　nm　and　c　=　1.1359　nm.　There　were　vacancies　of　(WO4)2-,　therefore,　there　were　some　Gd2+ions.　Langevin　paramagnetism　and　anisotropy　were　observed　from　the　σ-T　curves　at　room　temperature.　The　susceptibility　χ//　was　3.5018　×　10-3,　and　χ　was　3.4403　×　10-2.　The　anisotropy　was　also　observed　in　the　electron　spin　resonance　(ESR)　experiments.　The　anisotropic　Lande´　factors　were　g//　=　2.1333　and　g⊥　=　2.8411.　The　direction　of　easy　magnetization　was　in　the　a-b　plane.　Anisotropic　paramagnetic　Curie　constants　C//　and　C⊥　were　not　only　related　to　macroscopic　σ　that　was　observed　through　the　experiment,　but　were　also　related　to　J⊥　and　J//,　which　were　the　microscopic　quantum　numbers　of　the　Gd2+and　Gd3+ions.　Based　on　the　detailed　analyses,　the　proportion　of　36.8%　of　Gd3+ions　to　63.2%　of　Gd2+ions　in　the　Gd　ions　of　the　CdGd2(WO4)4-σcrystal　was　calculated,　and　δ　was　0.638　in　the　single　crystal.　©　2007　The　Chinese　Society　of　Rare　Earths.