Skip to main content

2012 | OriginalPaper | Buchkapitel

3. Nucleation, Structure and Magnetism of Transition Metal Clusters from First Principles

verfasst von : Sanjubala Sahoo, Markus E. Gruner, Alfred Hucht, Georg Rollmann, Peter Entel

Erschienen in: Nanoparticles from the Gasphase

Verlag: Springer Berlin Heidelberg

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Properties of transition metal (TM) clusters such as structural stability, growth and magnetic properties are studied using the density functional theory (DFT). We find that for both elemental and binary clusters, different morphologies are stable for different ranges of cluster sizes. We discuss possible structural transformations namely Jahn-Teller (JT) and Mackay transformation (MT) occurring in TM clusters. While the JT-distorted cluster is stable for a Fe\(_{13}\) icosahedron, the MT-distorted structure is stable for Co\(_{13}\). For Ni\(_{13}\), however, both distortions lead to similar energies. In larger clusters, both JT and MT compete with each other, and as a result we find a higher stability for large Fe clusters with a shell wise Mackay transformation. Studies on binary Fe-Pt clusters show a segregation tendency of Pt atoms to the surfaces of the clusters. The ordered Fe-Pt icosahedral structures show enhanced stability compared to the L1\(_0\) cuboctahedron. From the studies on magnetocrystalline anisotropy (MAE) for clusters, we find that relaxed Fe\(_{13}\) and Ni\(_{13}\) have several orders of magnitude larger MAE as compared to the corresponding bulk values. However, Co\(_{13}\) does not follow this trend.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat S. Sun, C.B. Murray, D. Weller, L. Folks, A. Moser, Monodisperse FePt nanoparticles and ferromagnetic FePt nanocrystal superlattices. Science 287, 1989 (2000)ADSCrossRef S. Sun, C.B. Murray, D. Weller, L. Folks, A. Moser, Monodisperse FePt nanoparticles and ferromagnetic FePt nanocrystal superlattices. Science 287, 1989 (2000)ADSCrossRef
2.
Zurück zum Zitat Y. Xie, J.A. Blackman, Magnetism of iron clusters embedded in cobalt. Phys. Rev. B 66, 085410 (2002)ADSCrossRef Y. Xie, J.A. Blackman, Magnetism of iron clusters embedded in cobalt. Phys. Rev. B 66, 085410 (2002)ADSCrossRef
3.
Zurück zum Zitat O. Diéguez, M.M.G. Alemany, C. Rey, P. Ordejón, L.J. Gallego, Density-functional calculations of the structures, binding energies, and magnetic moments of Fe clusters with 2 to 17 atoms. Phys. Rev. B 63, 205407 (2001)ADSCrossRef O. Diéguez, M.M.G. Alemany, C. Rey, P. Ordejón, L.J. Gallego, Density-functional calculations of the structures, binding energies, and magnetic moments of Fe clusters with 2 to 17 atoms. Phys. Rev. B 63, 205407 (2001)ADSCrossRef
4.
Zurück zum Zitat A.V. Postnikov, P. Entel, J.M. Soler, Density functional simulation of small Fe nanoparticles. Eur. Phys. J. D 25, 261 (2003)ADSCrossRef A.V. Postnikov, P. Entel, J.M. Soler, Density functional simulation of small Fe nanoparticles. Eur. Phys. J. D 25, 261 (2003)ADSCrossRef
5.
Zurück zum Zitat H.M. Duan, Q.Q. Zheng, Symmetry and magnetic properties of transition metal clusters. Phys. Lett. A 280, 333 (2001)ADSCrossRef H.M. Duan, Q.Q. Zheng, Symmetry and magnetic properties of transition metal clusters. Phys. Lett. A 280, 333 (2001)ADSCrossRef
6.
Zurück zum Zitat M.E. Gruner, P. Entel, Competition between ordering, twinning, and segregation in binary magnetic 3\(d\)-5\(d\) nanoparticles: a supercomputing perspective. Int. J. Quant. Chem. 112, 277 (2012)CrossRef M.E. Gruner, P. Entel, Competition between ordering, twinning, and segregation in binary magnetic 3\(d\)-5\(d\) nanoparticles: a supercomputing perspective. Int. J. Quant. Chem. 112, 277 (2012)CrossRef
7.
Zurück zum Zitat C. Antoniak, M.E. Gruner, M. Spasova, A.V. Trunova, F.M. Römer, A. Warland, B. Krumme, K. Fauth, S. Sun, P. Entel, M. Farle, H. Wende, A guideline for atomistic design and understanding of ultrahard nanomagnets. Nat. Commun. 2, 528 (2011)CrossRef C. Antoniak, M.E. Gruner, M. Spasova, A.V. Trunova, F.M. Römer, A. Warland, B. Krumme, K. Fauth, S. Sun, P. Entel, M. Farle, H. Wende, A guideline for atomistic design and understanding of ultrahard nanomagnets. Nat. Commun. 2, 528 (2011)CrossRef
9.
10.
Zurück zum Zitat G. Kresse, J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169 (1996)ADSCrossRef G. Kresse, J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169 (1996)ADSCrossRef
11.
12.
Zurück zum Zitat J.P. Perdew, in Electronic Structure of Solids’91, ed. by P. Ziesche, H. Eschrig (Akademie, Berlin, 1991), pp. 11–20 J.P. Perdew, in Electronic Structure of Solids’91, ed. by P. Ziesche, H. Eschrig (Akademie, Berlin, 1991), pp. 11–20
13.
Zurück zum Zitat S.H. Vosko, L. Wilk, M. Nusair, Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis. Can. J. Phys. 58, 1200 (1980)ADSCrossRef S.H. Vosko, L. Wilk, M. Nusair, Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis. Can. J. Phys. 58, 1200 (1980)ADSCrossRef
14.
Zurück zum Zitat M.E. Gruner, G. Rollmann, P. Entel, Large-scale first-principles calculations of magnetic nanoparticles, in Proceedings of the NIC Symposium 2008, vol. 39, ed. by G. Münster, D. Wolf, M. Kremer, NIC Series (John von Neumann Institute for Computing, Jülich, 2008), p. 161 M.E. Gruner, G. Rollmann, P. Entel, Large-scale first-principles calculations of magnetic nanoparticles, in Proceedings of the NIC Symposium 2008, vol. 39, ed. by G. Münster, D. Wolf, M. Kremer, NIC Series (John von Neumann Institute for Computing, Jülich, 2008), p. 161
15.
Zurück zum Zitat M.E. Gruner, P. Entel, Simulating functional magnetic materials on supercomputers. J. Phys. Condens. Matter 21, 293201 (2009) M.E. Gruner, P. Entel, Simulating functional magnetic materials on supercomputers. J. Phys. Condens. Matter 21, 293201 (2009)
16.
Zurück zum Zitat R. Ferrando, A. Fortunelli, G. Rossi, Quantum effects on the structure of pure and binary metallic nanoclusters. Phys. Rev. B. 72, 085449 (2005)ADSCrossRef R. Ferrando, A. Fortunelli, G. Rossi, Quantum effects on the structure of pure and binary metallic nanoclusters. Phys. Rev. B. 72, 085449 (2005)ADSCrossRef
17.
Zurück zum Zitat S. Heinrichs, W. Dieterich, P. Maass, Modeling epitaxial growth of binary alloy nanostructures on a weakly interacting substrate. Phys. Rev. B. 75, 085437 (2007)ADSCrossRef S. Heinrichs, W. Dieterich, P. Maass, Modeling epitaxial growth of binary alloy nanostructures on a weakly interacting substrate. Phys. Rev. B. 75, 085437 (2007)ADSCrossRef
18.
Zurück zum Zitat F.R. Negreiros, Z. Kuntová, G. Barcaro, G. Rossi, R. Ferrando, A. Fortunelli, Structures of gas-phase Ag-Pd nanoclusters: a computational study. J. Chem. Phys. 132, 234703 (2010)ADSCrossRef F.R. Negreiros, Z. Kuntová, G. Barcaro, G. Rossi, R. Ferrando, A. Fortunelli, Structures of gas-phase Ag-Pd nanoclusters: a computational study. J. Chem. Phys. 132, 234703 (2010)ADSCrossRef
19.
Zurück zum Zitat M. Pellarin, B. Baguenard, J.L. Vialle, J. Lerme, M. Broyer, J. Miller, A. Perez, Evidence for icosahedral atomic shell structure in nickel and cobalt clusters. Comparison with iron clusters. Chem. Phys. Lett. 217, 349 (1994)ADSCrossRef M. Pellarin, B. Baguenard, J.L. Vialle, J. Lerme, M. Broyer, J. Miller, A. Perez, Evidence for icosahedral atomic shell structure in nickel and cobalt clusters. Comparison with iron clusters. Chem. Phys. Lett. 217, 349 (1994)ADSCrossRef
20.
Zurück zum Zitat T. Vystavel, G. Palasantzas, S.A. Koch, J.T.M. De Hosson, Nanosized iron clusters investigated with in situ transmission electron microscopy. Appl. Phys. Lett. 82, 197 (2003)ADSCrossRef T. Vystavel, G. Palasantzas, S.A. Koch, J.T.M. De Hosson, Nanosized iron clusters investigated with in situ transmission electron microscopy. Appl. Phys. Lett. 82, 197 (2003)ADSCrossRef
21.
Zurück zum Zitat M.I. Katsnelson, Y.V. Irkhin, L. Chioncel, A.I. Lichtenstein, R.A. de Groot, Half-metallic ferromagnets: from band structure to many-body effects. Rev. Mod. Phys. 80, 315 (2008)ADSCrossRef M.I. Katsnelson, Y.V. Irkhin, L. Chioncel, A.I. Lichtenstein, R.A. de Groot, Half-metallic ferromagnets: from band structure to many-body effects. Rev. Mod. Phys. 80, 315 (2008)ADSCrossRef
22.
Zurück zum Zitat M.E. Gruner, P. Entel, I. Opahle, M. Richter, Ab initio investigation of twin boundary motion in the magnetic shape memory Heusler alloy Ni\(_2\)MnGa. J. Mater. Sci. 43, 3825 (2008)ADSCrossRef M.E. Gruner, P. Entel, I. Opahle, M. Richter, Ab initio investigation of twin boundary motion in the magnetic shape memory Heusler alloy Ni\(_2\)MnGa. J. Mater. Sci. 43, 3825 (2008)ADSCrossRef
23.
Zurück zum Zitat E.C. Bain, The nature of martensite. Trans. Am. Inst. Min. Metall. Pet. Eng. 70, 25 (1924) E.C. Bain, The nature of martensite. Trans. Am. Inst. Min. Metall. Pet. Eng. 70, 25 (1924)
24.
Zurück zum Zitat Z. Nishiyama, Martensitic Transformation (Academic Press, New York, 1978) Z. Nishiyama, Martensitic Transformation (Academic Press, New York, 1978)
25.
Zurück zum Zitat A.L. Mackay, A dense non-crystallographic packing of equal spheres. Acta Cryst. 15, 916–918 (1962)CrossRef A.L. Mackay, A dense non-crystallographic packing of equal spheres. Acta Cryst. 15, 916–918 (1962)CrossRef
26.
Zurück zum Zitat G. Rollmann, S. Sahoo, P. Entel, Structural and magnetic properties of Fe-Ni clusters. Phys. Status Solid. 201, 3263 (2004)ADSCrossRef G. Rollmann, S. Sahoo, P. Entel, Structural and magnetic properties of Fe-Ni clusters. Phys. Status Solid. 201, 3263 (2004)ADSCrossRef
27.
Zurück zum Zitat G. Rollmann, M.E. Gruner, A. Hucht, P. Entel, Shellwise Mackay transformation in iron nanoclusters. Phys. Rev. Lett. 99, 083402 (2007)ADSCrossRef G. Rollmann, M.E. Gruner, A. Hucht, P. Entel, Shellwise Mackay transformation in iron nanoclusters. Phys. Rev. Lett. 99, 083402 (2007)ADSCrossRef
28.
Zurück zum Zitat G. Rollmann, P. Entel, S. Sahoo, Competing structural and magnetic effects in small iron clusters. Comput. Mater. Sci. 35, 275 (2006)CrossRef G. Rollmann, P. Entel, S. Sahoo, Competing structural and magnetic effects in small iron clusters. Comput. Mater. Sci. 35, 275 (2006)CrossRef
29.
Zurück zum Zitat H. Jónsson, H.C. Andersen, Icosahedral ordering in the Lennard-Jones liquid and glass. Phys. Rev. Lett. 60, 2295 (1988)ADSCrossRef H. Jónsson, H.C. Andersen, Icosahedral ordering in the Lennard-Jones liquid and glass. Phys. Rev. Lett. 60, 2295 (1988)ADSCrossRef
30.
Zurück zum Zitat M.E. Gruner, G. Rollmann, A. Hucht, P. Entel, Structural and magnetic properties of transition metal nanoparticles from first principles, in Advances in Solid State Physics, vol. 47, ed. by R. Haug (Springer, Berlin, 2008), p. 117 M.E. Gruner, G. Rollmann, A. Hucht, P. Entel, Structural and magnetic properties of transition metal nanoparticles from first principles, in Advances in Solid State Physics, vol. 47, ed. by R. Haug (Springer, Berlin, 2008), p. 117
31.
Zurück zum Zitat I.M.L. Billas, J.A. Becker, A. Châtelain, W.A. de Heer, Magnetic moments of iron clusters with 25 to 700 atoms and their dependence on temperature. Phys. Rev. Lett. 71, 4067 (1993)ADSCrossRef I.M.L. Billas, J.A. Becker, A. Châtelain, W.A. de Heer, Magnetic moments of iron clusters with 25 to 700 atoms and their dependence on temperature. Phys. Rev. Lett. 71, 4067 (1993)ADSCrossRef
32.
Zurück zum Zitat I.M.L. Billas, A. Châtelain, W.A. de Heer, Magnetism from the atom to the bulk in iron, cobalt, and nickel clusters. Science 265, 1682 (1994)ADSCrossRef I.M.L. Billas, A. Châtelain, W.A. de Heer, Magnetism from the atom to the bulk in iron, cobalt, and nickel clusters. Science 265, 1682 (1994)ADSCrossRef
33.
Zurück zum Zitat I.M.L. Billas, A. Châtelain, W.A. de Heer, Magnetism of Fe, Co and Ni clusters in molecular beams. J. Magn. Mat. 168, 64 (1997)ADSCrossRef I.M.L. Billas, A. Châtelain, W.A. de Heer, Magnetism of Fe, Co and Ni clusters in molecular beams. J. Magn. Mat. 168, 64 (1997)ADSCrossRef
34.
Zurück zum Zitat H.C. Herper, E. Hoffmann, P. Entel, Ab initio full-potential study of the structural and magnetic phase stability of iron. Phys. Rev. B 60, 3839 (1999)ADSCrossRef H.C. Herper, E. Hoffmann, P. Entel, Ab initio full-potential study of the structural and magnetic phase stability of iron. Phys. Rev. B 60, 3839 (1999)ADSCrossRef
35.
Zurück zum Zitat M.L. Tiago, Y. Zhou, M.M.G. Alemany, Y. Saad, J.R. Chelikowsky, Evolution of magnetism in iron from the atom to the bulk. Phys. Rev. Lett. 97, 147201 (2006)ADSCrossRef M.L. Tiago, Y. Zhou, M.M.G. Alemany, Y. Saad, J.R. Chelikowsky, Evolution of magnetism in iron from the atom to the bulk. Phys. Rev. Lett. 97, 147201 (2006)ADSCrossRef
36.
Zurück zum Zitat M.E. Gruner, G. Rollmann, S. Sahoo, P. Entel, Magnetism of close packed Fe\(_{147}\) clusters. Phase Trans. 79, 701 (2006)CrossRef M.E. Gruner, G. Rollmann, S. Sahoo, P. Entel, Magnetism of close packed Fe\(_{147}\) clusters. Phase Trans. 79, 701 (2006)CrossRef
37.
Zurück zum Zitat R. Ferrando, J. Jellinek, R.L. Johnston, Nanoalloys: from theory to applications of alloy clusters and nanoparticles. Chem. Rev. 108, 845 (2008)CrossRef R. Ferrando, J. Jellinek, R.L. Johnston, Nanoalloys: from theory to applications of alloy clusters and nanoparticles. Chem. Rev. 108, 845 (2008)CrossRef
38.
Zurück zum Zitat J.M. Montejano-Carrizales, M.P. Iñiguez, J.A. Alonso, Embedded-atom method applied to bimetallic clusters: the Cu-Ni and Cu-Pd systems. Phys. Rev. B 49, 16649 (1994)ADSCrossRef J.M. Montejano-Carrizales, M.P. Iñiguez, J.A. Alonso, Embedded-atom method applied to bimetallic clusters: the Cu-Ni and Cu-Pd systems. Phys. Rev. B 49, 16649 (1994)ADSCrossRef
39.
Zurück zum Zitat F. Baletto, C. Mottet, R. Ferrando, Growth simulations of silver shells on copper and palladium nanoclusters. Phys. Rev. B 66, 155420 (2002)ADSCrossRef F. Baletto, C. Mottet, R. Ferrando, Growth simulations of silver shells on copper and palladium nanoclusters. Phys. Rev. B 66, 155420 (2002)ADSCrossRef
40.
Zurück zum Zitat J.L. Rousset, A.M. Cadrot, F.J. Cadete Santos Aires, A. Renouprez, P.Mélinon, A. Perez, M. Pellarin, J.L. Vialle, M. Broyer, Study of bimetallic PdPt clusters in both free and supported phases. J. Chem. Phys. 102, 8574 (1995) J.L. Rousset, A.M. Cadrot, F.J. Cadete Santos Aires, A. Renouprez, P.Mélinon, A. Perez, M. Pellarin, J.L. Vialle, M. Broyer, Study of bimetallic PdPt clusters in both free and supported phases. J. Chem. Phys. 102, 8574 (1995)
41.
Zurück zum Zitat D. Zitoun, M. Respaud, M. Fromen, M.J. Casanove, P. Lecante, C. Amiens, B. Chaudret, Magnetic enhancement in nanoscale CoRh particles. Phys. Rev. Lett. 89, 037203 (2002)ADSCrossRef D. Zitoun, M. Respaud, M. Fromen, M.J. Casanove, P. Lecante, C. Amiens, B. Chaudret, Magnetic enhancement in nanoscale CoRh particles. Phys. Rev. Lett. 89, 037203 (2002)ADSCrossRef
42.
Zurück zum Zitat L.Y. Lu, D. Wang, X.G. Xu, Q. Zhan, Y. Jiang, Enhancement of magnetic properties for FePt nanoparticles by rapid annealing in a vacuum. J. Chem. Phys. 113, 19867 (2009) L.Y. Lu, D. Wang, X.G. Xu, Q. Zhan, Y. Jiang, Enhancement of magnetic properties for FePt nanoparticles by rapid annealing in a vacuum. J. Chem. Phys. 113, 19867 (2009)
43.
Zurück zum Zitat M.L. Plumer, E.J. Van, D. Weller (eds.), The physics of ultra-high-density magnetic recording (Springer, Berlin, 2001) M.L. Plumer, E.J. Van, D. Weller (eds.), The physics of ultra-high-density magnetic recording (Springer, Berlin, 2001)
44.
Zurück zum Zitat D. Weller, A. Moser, Thermal effect limits in ultrahigh-density magnetic recording. IEEE Trans. Magn. 35, 4423 (1999)ADSCrossRef D. Weller, A. Moser, Thermal effect limits in ultrahigh-density magnetic recording. IEEE Trans. Magn. 35, 4423 (1999)ADSCrossRef
45.
Zurück zum Zitat U. Wiedwald, L. Han, J. Biskupek, U. Kaiser, P. Ziemann, Preparation and characterization of supported magnetic nanoparticles prepared by reverse micelles. Beilstein J. Nanotechnol. 1, 24 (2010)CrossRef U. Wiedwald, L. Han, J. Biskupek, U. Kaiser, P. Ziemann, Preparation and characterization of supported magnetic nanoparticles prepared by reverse micelles. Beilstein J. Nanotechnol. 1, 24 (2010)CrossRef
46.
Zurück zum Zitat B. Rellinghaus, S. Stappert, M. Acet, E.F. Wassermann, Magnetic properties of FePt nanoparticles. J. Magn. Magn. Mater. 266, 142 (2003)ADSCrossRef B. Rellinghaus, S. Stappert, M. Acet, E.F. Wassermann, Magnetic properties of FePt nanoparticles. J. Magn. Magn. Mater. 266, 142 (2003)ADSCrossRef
47.
Zurück zum Zitat M.E. Gruner, G. Rollmann, P. Entel, M. Farle, Multiply twinned morphologies of FePt and CoPt nanoparticles. Phys. Rev. Lett. 100, 087203 (2008)ADSCrossRef M.E. Gruner, G. Rollmann, P. Entel, M. Farle, Multiply twinned morphologies of FePt and CoPt nanoparticles. Phys. Rev. Lett. 100, 087203 (2008)ADSCrossRef
48.
Zurück zum Zitat A. Dannenberg, M.E. Gruner, P. Entel, First-principles study of the structural stability of L\(1_1\) order in Pt-based alloys. J. Phys. Conf. Ser. 200, 072021 (2010)ADSCrossRef A. Dannenberg, M.E. Gruner, P. Entel, First-principles study of the structural stability of L\(1_1\) order in Pt-based alloys. J. Phys. Conf. Ser. 200, 072021 (2010)ADSCrossRef
49.
Zurück zum Zitat A. Dannenberg, M.E. Gruner, A. Hucht, P. Entel, Surface energies of stoichiometric FePt and CoPt alloys and their implications for nanoparticle morphologies. Phys. Rev. B 80, 245438 (2009)ADSCrossRef A. Dannenberg, M.E. Gruner, A. Hucht, P. Entel, Surface energies of stoichiometric FePt and CoPt alloys and their implications for nanoparticle morphologies. Phys. Rev. B 80, 245438 (2009)ADSCrossRef
50.
Zurück zum Zitat P. Gambardella, S. Rusponi, M. Veronese, S.S. Dhesi, C. Grazioli, A. Dallmeyer, I. Cabria, R. Zeller, P.H. Dederichs, K. Kern, C. Carbone, H. Brune, Giant magnetic anisotropy of single cobalt atoms and nanoparticles. Science 300, 1130 (2003)ADSCrossRef P. Gambardella, S. Rusponi, M. Veronese, S.S. Dhesi, C. Grazioli, A. Dallmeyer, I. Cabria, R. Zeller, P.H. Dederichs, K. Kern, C. Carbone, H. Brune, Giant magnetic anisotropy of single cobalt atoms and nanoparticles. Science 300, 1130 (2003)ADSCrossRef
51.
Zurück zum Zitat T. Balashov, T. Schuh, A.F. Takács, A. Ernst, S. Ostanin, J. Henk, I. Mertig, P. Bruno, T. Miyamachi, S. Suga, W. Wulfhekel, Magnetic anisotropy and magnetization dynamics of individual atoms and clusters of Fe and Co on Pt(111). Phys. Rev. Lett. 102, 257203 (2009)ADSCrossRef T. Balashov, T. Schuh, A.F. Takács, A. Ernst, S. Ostanin, J. Henk, I. Mertig, P. Bruno, T. Miyamachi, S. Suga, W. Wulfhekel, Magnetic anisotropy and magnetization dynamics of individual atoms and clusters of Fe and Co on Pt(111). Phys. Rev. Lett. 102, 257203 (2009)ADSCrossRef
52.
Zurück zum Zitat R. Félix-Medina, J. Dorantes-Dávila, G.M. Pastor, Ground-state magnetic properties of \(Co_{N}\) clusters on Pd(111): spin moments, orbital moments, and magnetic anisotropy. Phys. Rev. B 67, 094430 (2003)ADSCrossRef R. Félix-Medina, J. Dorantes-Dávila, G.M. Pastor, Ground-state magnetic properties of \(Co_{N}\) clusters on Pd(111): spin moments, orbital moments, and magnetic anisotropy. Phys. Rev. B 67, 094430 (2003)ADSCrossRef
53.
Zurück zum Zitat S. Rohart, C. Raufast, L. Favre, E. Bernstein, E. Bonet, V. Dupuis, Magnetic anisotropy of \(Co_{x}Pt_{1-{}x}\) clusters embedded in a matrix: influences of the cluster chemical composition and the matrix nature. Phys. Rev. B 74, 104408 (2006)ADSCrossRef S. Rohart, C. Raufast, L. Favre, E. Bernstein, E. Bonet, V. Dupuis, Magnetic anisotropy of \(Co_{x}Pt_{1-{}x}\) clusters embedded in a matrix: influences of the cluster chemical composition and the matrix nature. Phys. Rev. B 74, 104408 (2006)ADSCrossRef
54.
Zurück zum Zitat A.N. Andriotis, M. Menon, Orbital magnetism: pros and cons for enhancing the cluster magnetism. Phys. Rev. Lett. 93, 026402 (2004)ADSCrossRef A.N. Andriotis, M. Menon, Orbital magnetism: pros and cons for enhancing the cluster magnetism. Phys. Rev. Lett. 93, 026402 (2004)ADSCrossRef
55.
Zurück zum Zitat Š. Pick, V.S. Stepanyuk, A.L. Klavsyuk, L. Niebergall, W. Hergert, J. Kirschner, P. Bruno, Magnetism and structure on the atomic scale: small cobalt clusters in Cu(001). Phys. Rev. B 70, 224419 (2004)ADSCrossRef Š. Pick, V.S. Stepanyuk, A.L. Klavsyuk, L. Niebergall, W. Hergert, J. Kirschner, P. Bruno, Magnetism and structure on the atomic scale: small cobalt clusters in Cu(001). Phys. Rev. B 70, 224419 (2004)ADSCrossRef
56.
Zurück zum Zitat J. Hafner, D. Spišák, Morphology and magnetism of \(Fe_{n}\) clusters \((n=1-9)\) supported on a Pd(001) substrate. Phys. Rev. B 76, 094420 (2007)ADSCrossRef J. Hafner, D. Spišák, Morphology and magnetism of \(Fe_{n}\) clusters \((n=1-9)\) supported on a Pd(001) substrate. Phys. Rev. B 76, 094420 (2007)ADSCrossRef
57.
Zurück zum Zitat S. Bornemann, J. Minár, J.B. Staunton, J. Honolka, A. Enders, K. Kern, H. Ebert, Magnetic anisotropy of deposited transition metal clusters. Eur. Phys. J. D 45, 529 (2007)ADSCrossRef S. Bornemann, J. Minár, J.B. Staunton, J. Honolka, A. Enders, K. Kern, H. Ebert, Magnetic anisotropy of deposited transition metal clusters. Eur. Phys. J. D 45, 529 (2007)ADSCrossRef
58.
Zurück zum Zitat B. Nonas, I. Cabria, R. Zeller, P.H. Dederichs, T. Huhne, H. Ebert, Strongly enhanced orbital moments and anisotropies of adatoms on the Ag(001) surface. Phys. Rev. Lett. 86, 2146 (2001)ADSCrossRef B. Nonas, I. Cabria, R. Zeller, P.H. Dederichs, T. Huhne, H. Ebert, Strongly enhanced orbital moments and anisotropies of adatoms on the Ag(001) surface. Phys. Rev. Lett. 86, 2146 (2001)ADSCrossRef
59.
Zurück zum Zitat G.M. Pastor, J. Dorantes-Dávila, S. Pick, H. Dreyssé, Magnetic anisotropy of \(3d\) transition-metal clusters. Phys. Rev. Lett. 75, 326 (1995)ADSCrossRef G.M. Pastor, J. Dorantes-Dávila, S. Pick, H. Dreyssé, Magnetic anisotropy of \(3d\) transition-metal clusters. Phys. Rev. Lett. 75, 326 (1995)ADSCrossRef
60.
Zurück zum Zitat R.A. Guirado-López, J.M. Montejano-Carrizales, Orbital magnetism and magnetic anisotropy energy of Co nanoparticles: role of polytetrahedral packing, polycrystallinity, and internal defects. Phys. Rev. B 75, 184435 (2007)ADSCrossRef R.A. Guirado-López, J.M. Montejano-Carrizales, Orbital magnetism and magnetic anisotropy energy of Co nanoparticles: role of polytetrahedral packing, polycrystallinity, and internal defects. Phys. Rev. B 75, 184435 (2007)ADSCrossRef
61.
Zurück zum Zitat L. Fernández-Seivane, J. Ferrer, Magnetic anisotropies of late transition metal atomic clusters. Phys. Rev. Lett. 99, 183401 (2007)ADSCrossRef L. Fernández-Seivane, J. Ferrer, Magnetic anisotropies of late transition metal atomic clusters. Phys. Rev. Lett. 99, 183401 (2007)ADSCrossRef
62.
Zurück zum Zitat P. Błonski, J. Hafner, Magnetic anisotropy of transition-metal dimers: density functional calculations. Phys. Rev. B 79, 224418 (2009)ADSCrossRef P. Błonski, J. Hafner, Magnetic anisotropy of transition-metal dimers: density functional calculations. Phys. Rev. B 79, 224418 (2009)ADSCrossRef
63.
Zurück zum Zitat T.O. Strandberg, C.M. Canali, A.H. MacDonald, Transition-metal dimers and physical limits on magnetic anisotropy. Nat. Mater. 6, 648 (2007)ADSCrossRef T.O. Strandberg, C.M. Canali, A.H. MacDonald, Transition-metal dimers and physical limits on magnetic anisotropy. Nat. Mater. 6, 648 (2007)ADSCrossRef
64.
Zurück zum Zitat D. Fritsch, K. Koepernik, M. Richter, H. Eschrig, Transition metal dimers as potential molecular magnets: a challenge to computational chemistry. J. Comp. Chem. 29, 2210 (2008)CrossRef D. Fritsch, K. Koepernik, M. Richter, H. Eschrig, Transition metal dimers as potential molecular magnets: a challenge to computational chemistry. J. Comp. Chem. 29, 2210 (2008)CrossRef
65.
Zurück zum Zitat J. Kortus, T. Baruah, M.R. Pederson, Magnetic moment and anisotropy in Fe\(_n\)Co\(_m\) clusters. Appl. Phys. Lett. 80, 4193 (2002)ADSCrossRef J. Kortus, T. Baruah, M.R. Pederson, Magnetic moment and anisotropy in Fe\(_n\)Co\(_m\) clusters. Appl. Phys. Lett. 80, 4193 (2002)ADSCrossRef
66.
Zurück zum Zitat J. Hong, R.Q. Wu, First principles determinations of magnetic anisotropy energy of Co nanoclusters. J. Appl. Phys. 93, 8764 (2003)ADSCrossRef J. Hong, R.Q. Wu, First principles determinations of magnetic anisotropy energy of Co nanoclusters. J. Appl. Phys. 93, 8764 (2003)ADSCrossRef
67.
68.
Zurück zum Zitat S. Sahoo, A. Hucht, M.E. Gruner, G. Rollmann, P. Entel, A. Postnikov, J. Ferrer, L. Fernández-Seivane, M. Richter, D. Fritsch, S. Sil, Magnetic properties of small Pt-capped Fe, Co., and Ni clusters: a density functional theory study. Phys. Rev. B 82, 054418 (2010)ADSCrossRef S. Sahoo, A. Hucht, M.E. Gruner, G. Rollmann, P. Entel, A. Postnikov, J. Ferrer, L. Fernández-Seivane, M. Richter, D. Fritsch, S. Sil, Magnetic properties of small Pt-capped Fe, Co., and Ni clusters: a density functional theory study. Phys. Rev. B 82, 054418 (2010)ADSCrossRef
69.
Zurück zum Zitat L. Néel, The surface anisotropy of ferromagnetic substances. C. R. Acad. Sci. Paris 237, 1468 (1953)MATH L. Néel, The surface anisotropy of ferromagnetic substances. C. R. Acad. Sci. Paris 237, 1468 (1953)MATH
70.
Zurück zum Zitat L. Néel, Surface magnetic anisotropy and orientational superstructures. J. Phys. Radium 15, 225 (1954)MATHCrossRef L. Néel, Surface magnetic anisotropy and orientational superstructures. J. Phys. Radium 15, 225 (1954)MATHCrossRef
71.
Zurück zum Zitat S.V. Halilov, A. Ya, Perlov, P. M. Oppeneer, A. N. Yaresko, and V. N. Antonov, Magnetocrystalline anisotropy energy in cubic Fe, Co., and Ni: applicability of local-spin-density theory reexamined. Phys. Rev. B 57, 9557 (1998)ADSCrossRef S.V. Halilov, A. Ya, Perlov, P. M. Oppeneer, A. N. Yaresko, and V. N. Antonov, Magnetocrystalline anisotropy energy in cubic Fe, Co., and Ni: applicability of local-spin-density theory reexamined. Phys. Rev. B 57, 9557 (1998)ADSCrossRef
72.
Zurück zum Zitat M.A. Uijttewaal, T. Hickel, J. Neugebauer, M.E. Gruner, P. Entel, Understanding the phase transitions of the Ni\(_2\)MnGa magnetic shape memory system from first principles. Phys. Rev. Lett. 102, 035702 (2009)ADSCrossRef M.A. Uijttewaal, T. Hickel, J. Neugebauer, M.E. Gruner, P. Entel, Understanding the phase transitions of the Ni\(_2\)MnGa magnetic shape memory system from first principles. Phys. Rev. Lett. 102, 035702 (2009)ADSCrossRef
73.
Zurück zum Zitat S.I. Sanchez, L.D. Menard, A. Bram, J.H. Kang, M.W. Small, R.G. Nuzzo, A.I. Frenkel, The Emergence of nonbulk properties in supported metal clusters: negative thermal expansion and atomic disorder in Pt nanoclusters supported on \(\gamma \)-Al\(_2\)O\(_3\). J. Am. Chem. Soc. 131, 7040 (2009)CrossRef S.I. Sanchez, L.D. Menard, A. Bram, J.H. Kang, M.W. Small, R.G. Nuzzo, A.I. Frenkel, The Emergence of nonbulk properties in supported metal clusters: negative thermal expansion and atomic disorder in Pt nanoclusters supported on \(\gamma \)-Al\(_2\)O\(_3\). J. Am. Chem. Soc. 131, 7040 (2009)CrossRef
74.
Zurück zum Zitat B. Roldan Cuenya, A.I. Frenkel, S. Mostafa, F. Behafarid, J.R. Croy, L.K. Ono, Q. Wang, Anomalous lattice dynamics and thermal properties of supported size- and shape-selected Pt nanoparticles. Phys. Rev. B 82, 155450 (2010)ADSCrossRef B. Roldan Cuenya, A.I. Frenkel, S. Mostafa, F. Behafarid, J.R. Croy, L.K. Ono, Q. Wang, Anomalous lattice dynamics and thermal properties of supported size- and shape-selected Pt nanoparticles. Phys. Rev. B 82, 155450 (2010)ADSCrossRef
Metadaten
Titel
Nucleation, Structure and Magnetism of Transition Metal Clusters from First Principles
verfasst von
Sanjubala Sahoo
Markus E. Gruner
Alfred Hucht
Georg Rollmann
Peter Entel
Copyright-Jahr
2012
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-28546-2_3

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.