3d impurities in normal and inverted perovskites: Differences are not explained by ligand field theory J. M. García-Lastra, 1 J. Y. Buzaré, 2 M. T. Barriuso, 1 J. A. Aramburu, 3 and M. Moreno 3 1 Departamento de Física Moderna, Universidad de Cantabria, 39005 Santander, Spain 2 Laboratoire de Physique de lEtat Condensé (UMR CNRS 6087), Institut de Recherche en Ingénierie Moléculaire et Matériaux Fonctionnels (FR CNRS 2575), Université du Maine, Avenue Olivier Messiaen, 72085 Le Mans Cedex 9, France 3 Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, 39005 Santander, Spain Received 14 December 2006; revised manuscript received 2 February 2007; published 3 April 2007 Although the lattice constants of KMgF 3 normal cubic perovskite structureand BaLiF 3 inverted perov- skitematerials differ only by 0.3%, there is a significant difference between the measured cubic field splitting parameters 10Dq for KMgF 3 :Ni 2+ 7800 cm -1 and BaLiF 3 :Ni 2+ 8400 cm -1 . By means of density functional theory calculations, it is shown that such a difference similar to that observed for Co 2+ and Mn 2+ impurities can hardly be understood within the traditional ligand field theory, which ignores the influence of the electro- static potential V R rexerted by the rest of the lattice ions upon the localized electrons of the NiF 6 4- complex. Although V R ris known to be very flat for a normal perovskite structure, it is shown that this is no longer true for an inverted perovskite. The origin of this significant difference is accounted for by simply considering, for the two cubic lattices, the electrostatic interaction of the two first ion shells around the complex with the electrons in the NiF 6 4- unit. The results of this work emphasize the importance of V R rwhen comparing the electronic properties of the same transition metal complex but embedded in two lattices that are not isomor- phous even if both are cubic. DOI: 10.1103/PhysRevB.75.155101 PACS numbers: 71.70.Ch, 71.55.-i, 71.15.Mb I. INTRODUCTION A great deal of interest is currently focused on doped fluoride materials for their potential applications in tunable solid state lasers, 1 storage phosphors, 2,3 scintillators, 2,4,5 lenses for optical lithography in the vacuum uv domain, 6 or radiation dosimeters. 7 Within the realm of fluorides, particu- lar attention has been paid to BaLiF 3 doped with transition metal, 814 rare earth, 5,15 or Pb 2+ impurities. 16 BaLiF 3 crystallizes in the so-called inverse perovskite structure 17 Fig. 1, displaying a primitive cubic lattice where the monovalent Li + cations are surrounded by an octahedron of F - ions. This structure is certainly unusual in trifluoride materials where compounds like KMgF 3 or RbCdF 3 have the normal perovskite structure 18 also depicted in Fig. 1. By con- trast, some oxides have been reported to possess the inverse perovskite structure. 19 While heavy cations like Ce 3+ or Pb 2+ enter BaLiF 3 at the Ba 2+ site, 5,15,16 smaller 3d cations like Cr 3+ , Ni 2+ , or Mn 2+ go substitutionally to the Li + site as unequivocally demonstrated by the electron paramagnetic resonance EPRand electron nuclear double resonance techniques. 811 This view is also supported by extended x-ray absorption fine structure EX- AFSresults 12 on Ni 2+ -doped BaLiF 3 as well as by calcula- tions using parameterized interatomic potentials. 20 Reported EPR data 10 on BaLiF 3 :Cr 3+ show the existence of a close charge compensation in terms of a Ba 2+ vacancy. By con- trast, in the case of divalent impurities Ni 2+ and Mn 2+ , the experimental spin Hamiltonians are fully consistent with a local octahedral symmetry around the impurity. 8,11 The lack of any experimental evidence showing the presence of small tetragonal, trigonal, or orthorhombic components in the mea- sured spin Hamiltonian thus supports that the necessary charge compensation has a remote character indeed. It is worth noting that cubic Fe 3+ centers have been formed in KMgF 3 and other similar perovskites 21,22 although other cen- ters with a close charge compensation have also been found in these lattices. 2325 A similar situation to this one has been observed 26 for Rh 2+ -doped NaCl. Within the traditional ligand field theory 27,28 the electronic properties due to a substitutional 3d impurity M in a cubic insulating lattice are explained only in terms of the MX N complex formed with the N nearest anions X. According to this view, the changes undergone by electronic properties of the MX N complex when the host lattice is varied are ascribed to the induced modifications in the M-X distance R. This idea has been well verified in the case of Mn 2+ , Ni 2+ , and Fe 3+ impurities in normal cubic fluoroperovskites 22,25,29,30 or Cr 3+ in cubic elpasolites. 31 For Mn 2+ and Ni 2+ impurities in nor- F - K + Li + Mg 2+ Ba 2+ F - K + Li + Mg 2+ Ba 2+ FIG. 1. Color online21-atom clusters used in the calculations of the inverse BaLiF 3 leftand normal KMgF 3 rightperovskite structures. Unit cells are marked with dashed lines. The lattice con- stant a is thus equal to 2R 0 . Similar clusters were used for the calculations of the corresponding Ni 2+ impurity centers but replac- ing the central ion Li + in BaLiF 3 and Mg 2+ in KMgF 3 by Ni 2+ . PHYSICAL REVIEW B 75, 155101 2007 1098-0121/2007/7515/1551016©2007 The American Physical Society 155101-1