We have investigated the magnetic moment of the W ion in the ferrimagnetic double perovskites Sr2CrWO6 and Ca2CrWO6 by X-ray magnetic circular dichroism (XMCD) at the W L2,3 edges. In both compounds a finite negative spin and positive orbital magnetic moment was detected. The experimental results are in good agreement with band-structure calculations for (Sr/Ca)2CrWO6 using the full-potential linear muffin-tin orbital method. It is remarkable, that the magnetic ordering temperature, TC, is correlated with the magnetic moment at the 'non-magnetic' W atom. PACS numbers: 75.25.+z, The double perovskites of the composition A 2 BB ′ O 6 (with A an alkaline earth, B a magnetic transition metal ion, and B ′ a non-magnetic ion) are interesting materials, both due to their rich physics and their properties promising for applications in spintronics. Recently, the double perovskites have attracted renewed interest when a large room-temperature magnetoresistance was observed in Sr 2 FeMoO 6 with a Curie temperature T C = 420 K [1]. Furthermore, band structure calculations indicated that the ferromagnetic double perovskites not only have large T C but also are half-metals. This immediately suggests their application as a source of spin-polarized charge carriers in spintronic devices. In addition to Sr 2 FeMoO 6 , ferrimagnetism with a T C up to 458 K has been found in ceramic and thin film samples of the compound Sr 2 CrWO 6 [2, 3]. Furthermore, this compound also has been predicted half-metallic by band-structure calculations [3,4]. The double perovskite with the highest T C known so far is Sr 2 CrReO 6 with T C = 635 K [5,6]. However, according to new results of density functional theory this compound is not fully half-metallic due to a strong spin-orbit coupling of Re [7].For clarifying the nature of magnetic exchange in the double perovskites, the knowledge on the local magnetic moments on the B and B ′ site is important. For * Electronic address: Petra.Majewski@wmi.badw.de † Electronic address: alff@oxide.tu-darmstadt.de Sr 2 FeMoO 6 , recent XMCD measurements showed a spin moment of about 3 µ B for Fe 3+ ion at the B site. Interestingly, for the non-magnetic Mo 5+ ion at the B ′ site an antiparallel aligned spin moment of about −0.3 µ B and a small orbital contribution was found [8]. This observation is in agreement with a generalized double exchange or kinetic energy driven exchange model proposed by Sarma et al. [9] to explain the strong ferromagnetic exchange in double perovskites despite the large distance between the magnetic ions (e. g. 8.82Å for Sr 2 CrWO 6 ). Subsequently, extensions of this model have been used to explain ferromagnetism in magnetic semiconductors and organic ferromagnets [10,11]. We recently showed that this model also can be applied to the A 2 CrWO 6 system [3]. In the following we shortly describe the kinetic energy driven exchange model: For the magnetic ion Cr 3+ Hund's splitting is much larger than the crystal field splitting, and the majority spin t 2g band is filled. In contrast, at th...