Magnetic ordering in the rutile molecular magnets M II NCN 2 2 M Ä Ni, Co, Fe, Mn, Ni 0.5 Co 0.5 , and Ni 0.5 Fe 0.5 Alexandros Lappas, 1, * Andrew S. Wills, 2,3 Mark A. Green, 2,3 Kosmas Prassides, 4 and Mohamedally Kurmoo 5 1 Institute of Electronic Structure and Laser, Foundation for Research and Technology—Hellas, P.O. Box 1527, 711 10 Heraklion Crete, Greece 2 Department of Chemistry, Christopher Ingold Laboratories, University College London, 20 Gordon Street, London, WC1H 0AJ, United Kingdom 3 The Davy-Faraday Research Laboratory, The Royal Institution of Great Britain, 21 Albermarle Street, London, W1S 4BS, United Kingdom 4 School of Chemistry, Physics and Environmental Science, University of Sussex, Brighton BN1 9QJ, United Kingdom 5 Institut de Physique et Chimie des Mate ´riaux de Strasbourg, CNRS-UMR 7504, 23 rue de Loess, F-67037 Strasbourg Cedex, France Received 25 September 2002; revised manuscript received 2 December 2002; published 7 April 2003 Rietveld refinement of powder neutron diffraction data, combined with group theory considerations, is used to determine the magnetic structures of the binary metal dicyanamide, M II NCN 2 2 where M =Ni, Co, Fe, Mn, Ni 0.5 Co 0.5 , and Ni 0.5 Fe 0.5 . Compounds with M =Mn or Fe show a canted antiferromagnetic arrangement of spin oriented in the ab crystallographic plane, with antiparallel components of the two sublattices along the a axis and parallel along the b axis. Symmetry considerations forbid an additional moment, whether compen- sated or not, to be present along the c axis. The compounds with fewer unpaired electrons Co and Niare ferromagnets, with all moments oriented along the c axis. The mixed composition of Ni 0.5 Co 0.5 displays the same collinear ferromagnetic structure as its parent compounds. However, the composition with M =Ni 0.5 Fe 0.5 , whose parent compounds show different magnetic behavior, does not exhibit long-range magnetic ordering down to 1.7 K. Magnetostriction was observed for the ferromagnets for which we investigated the variable temperature powder neutron diffraction. The cobalt-rich compounds show more pronounced effects, consistent with their increasing magnetocrystalline anisotropy. DOI: 10.1103/PhysRevB.67.144406 PACS numbers: 75.25.+z, 61.12.-q, 75.10.-b I. INTRODUCTION Over the past 20 years magnetic ground states that are more commonly associated with elements or alloys have been discovered in a variety of extended lattices involving molecule-based solids. 1 The observation of properties such as ferromagnetism and superconductivity in these systems has created a lot of interest because their high degree of chemical flexibility allows direct structural control of their electronic properties. 1,2 The range of accessible organic con- nectors enables the tailoring of properties for specific appli- cations such as magnetic and/or photonic devices for infor- mation storage media. The molecular magnetic systems are often composed of a number of different chemical constitu- ents, namely a central transition-metal ion, its coordinating ligand, charge-balancing ions, and solvent molecules. The coordinating ligand plays an important role in the connectiv- ity of the magnetic metal ions, as well as playing a direct active role in the interaction between the localized magnetic moments or conduction electrons. The versatility of the structure and bonding in these systems enables one to syn- thesize materials exhibiting dual properties, such as super- conductivity and magnetism, or coupling of properties, e.g., optical sensitivity and magnetism. Magnets based on the Prussian blue family 3 have been extensively studied as the linear metal-cyanide-metal con- nectivity gives rise to three-dimensional 3Dstructures with high Curie temperatures, for example, T C =315 K in VCrCN 6 0.86 2.8H 2 O. 4 While work has concentrated on varying the oxidation and spin states of the metal centers, it has also been shown that an effective replacement of the bridging cyanide ligand, CN - , may be afforded by the dicy- anamide anion, NCN 2 - . 5–11 The new family of isostruc- tural compounds with the general formula M II NCN 2 2 M is a transition-metal ionexhibits particularly interesting magnetic properties. 5–12 They crystallize in a distorted rutile- like 3D structure in which the connectivity between the met- als is through (NwCuNuCwN) - and NuCuN link- ages. The structural features of importance for magnetism are the near-orthogonal arrangement of the octahedral M N 6 units connected through three atoms and the presence of the electrons. 5,6 Bulk magnetic susceptibility 5–11 and muon- spin relaxation 12 ( + SR) measurements of the M II NCN 2 2 series have revealed a plethora of electronic ground states as a function of transition-metal ion, including paramagnetism, ferromagnetism, and canted antiferromag- netism. Application of pressure has different effects on each of these compounds. 13 An important aspect in this area of research is the determination of the key structural or elec- tronic characteristics that control the resulting magnetic ground states. In this paper, we employ high-resolution and high- intensity neutron powder diffraction measurements together with the implementation of symmetry-allowed models, to de- termine the magnetic structure of M NCN 2 2 . The proper- ties of the mixed metal systems, Ni 0.5 Co 0.5 NCN 2 2 and Ni 0.5 Fe 0.5 NCN 2 2 , are also explored; the former shows ferromagnetism, analogous to the parent compositions, PHYSICAL REVIEW B 67, 144406 2003 0163-1829/2003/6714/1444068/$20.00 ©2003 The American Physical Society 67 144406-1