Magnetic excitations in molecular magnets with complex bridges: the tetrahedral molecule Ni4Mo12

  • Miroslav Georgiev
  • Hassan ChamatiEmail author
Regular Article


We investigate the spectroscopic magnetic excitations in molecular magnets with complex intermediate structure among the magnetic ions. Our approach consists in introducing a modified spin Hamiltonian that allows for discrete coupling parameters accounting for all energetically favorable spatial distributions of the valence electrons along the exchange bridges connecting the constituent magnetic ions. We discuss the physical relevance of the constructed Hamiltonian and derive its eigenvalues. The model is applied to explore the magnetic excitations of the tetrameric molecular magnet Ni4Mo12. Our results are in a very good agreement with the available experimental data. We show that the experimental magnetic excitations in the named tetramer can be traced back to the specific geometry and complex chemical structure of the exchange bridges leading to the splitting and broadness of the peaks centered about 0.5 meV and 1.7 meV.

Graphical abstract


Solid State and Materials 


  1. 1.
    E. Roduner, Nanoscopic Materials: Size-Dependent Phenomena (The Royal Society of Chemistry, 2006) Google Scholar
  2. 2.
    H. Chamati, Adv. Planar Lipid Bilayers Liposomes 17, 237 (2013) CrossRefGoogle Scholar
  3. 3.
    D.J. Sellmyer, B. Balamurugan, B. Das, P. Mukherjee, R. Skomski, G.C. Hadjipanayis, J. Appl. Phys. 117, 172609 (2015) ADSCrossRefGoogle Scholar
  4. 4.
    B. Sieklucka, D. Pinkowicz, Molecular Magnetic Materials: Concepts and Applications (Wiley, Weinheim, 2017) Google Scholar
  5. 5.
    J.B. Goodenough, Phys. Rev. 100, 564 (1955) ADSCrossRefGoogle Scholar
  6. 6.
    G.C. DeFotis, E.D. Remy, C.W. Scherrer, Phys. Rev. B 41, 9074 (1990) ADSCrossRefGoogle Scholar
  7. 7.
    N.A. Law, J.W. Kampf, V.L. Pecoraro, Inorg. Chim. Acta 297, 252 (2000) CrossRefGoogle Scholar
  8. 8.
    M.J. Han, T. Ozaki, J. Yu, Phys. Rev. B 70, 184421 (2004) ADSCrossRefGoogle Scholar
  9. 9.
    N. Perks, R. Johnson, C. Martin, L. Chapon, P. Radaelli, Nat. Commun. 3, 1277 (2012) ADSCrossRefGoogle Scholar
  10. 10.
    T. Gupta, G. Rajaraman, Chem. Commun. 52, 8972 (2016) CrossRefGoogle Scholar
  11. 11.
    M.M. Hänninen, A.J. Mota, R. Sillanpää, S. Dey, G. Velmurugan, G. Rajaraman, E. Colacio, Inorg. Chem. 57, 3683 (2018) CrossRefGoogle Scholar
  12. 12.
    C. Loose, E. Ruiz, B. Kersting, J. Kortus, Chem. Phys. Lett. 452, 38 (2008) ADSCrossRefGoogle Scholar
  13. 13.
    A. Panja, N.C. Jana, S. Adak, P. Brandão, L. Dlháň, J. Titiš, R. Boča, New J. Chem. 41, 3143 (2017) CrossRefGoogle Scholar
  14. 14.
    A. Das, K. Bhattacharya, S. Giri, A. Ghosh, Polyhedron 134, 295 (2017) CrossRefGoogle Scholar
  15. 15.
    T.J. Woods, H.D. Stout, B.S. Dolinar, K.R. Vignesh, M.F. Ballesteros-Rivas, C. Achim, K.R. Dunbar, Inorg. Chem. 56, 12094 (2017) CrossRefGoogle Scholar
  16. 16.
    R.A. Klemm, D.V. Efremov, Phys. Rev. B 77, 184410 (2008) ADSCrossRefGoogle Scholar
  17. 17.
    W. Hübner, Y. Pavlyukh, G. Lefkidis, J. Berakdar, Phys. Rev. B 96, 184432 (2017) ADSCrossRefGoogle Scholar
  18. 18.
    S.W. Lovesey, in International Series of Monographs on Physics (Oxford University Press, Oxford, New York, 1986), Vol. 2 Google Scholar
  19. 19.
    M.F. Collins, Magnetic critical scattering, Oxford Series on Neutron Scattering in Condensed Matter (Oxford University, New York, 1989) Google Scholar
  20. 20.
    A. Furrer, J. Mesot, T. Strässle, Neutron Scattering in Condensed Matter Physics, Series on Neutron Techniques and Applications (World Scientific, 2009) Google Scholar
  21. 21.
    B.P. Toperverg, H. Zabel, in Neutron Scattering – Magnetic and Quantum Phenomena, edited by F. Fernandez-Alonso, D.L. Price (Elsevier, 2015), Vol. 48, p. 339 Google Scholar
  22. 22.
    A. Stebler, H.U. Guedel, A. Furrer, J.K. Kjems, Inorg. Chem. 21, 380 (1982) CrossRefGoogle Scholar
  23. 23.
    M. Azuma, T. Odaka, M. Takano, D.A. Vander Griend, K.R. Poeppelmeier, Y. Narumi, K. Kindo, Y. Mizuno, S. Maekawa, Phys. Rev. B 62, R3588 (2000) ADSCrossRefGoogle Scholar
  24. 24.
    J. Ummethum, J. Nehrkorn, S. Mukherjee, N.B. Ivanov, S. Stuiber, T. Strässle, P.L.W. Tregenna-Piggott, H. Mutka, G. Christou, O. Waldmann et al., Phys. Rev. B 86, 104403 (2012) ADSCrossRefGoogle Scholar
  25. 25.
    H. Kageyama, M. Nishi, N. Aso, K. Onizuka, T. Yosihama, K. Nukui, K. Kodama, K. Kakurai, Y. Ueda, Phys. Rev. Lett. 84, 5876 (2000) ADSCrossRefGoogle Scholar
  26. 26.
    B.D. Gaulin, S.H. Lee, S. Haravifard, J.P. Castellan, A.J. Berlinsky, H.A. Dabkowska, Y. Qiu, J.R.D. Copley, Phys. Rev. Lett. 93, 267202 (2004) ADSCrossRefGoogle Scholar
  27. 27.
    V.O. Garlea, S.E. Nagler, J.L. Zarestky, C. Stassis, D. Vaknin, P. Kögerler, D.F. McMorrow, C. Niedermayer, D.A. Tennant, B. Lake et al., Phys. Rev. B 73, 024414 (2006) ADSCrossRefGoogle Scholar
  28. 28.
    D. Vaknin, F. Demmel, Phys. Rev. B 89, 180411 (2014) ADSCrossRefGoogle Scholar
  29. 29.
    M. Georgiev, H. Chamati, C.R. Acad. Bulg. Sci. 72, 29 (2019) Google Scholar
  30. 30.
    A. Müller, C. Beugholt, P. Kögerler, H. Bögge, S. Bud’ko, M. Luban, Inorg. Chem. 39, 5176 (2000) CrossRefGoogle Scholar
  31. 31.
    J. Nehrkorn, M. Höck, M. Brüger, H. Mutka, J. Schnack, O. Waldmann, Eur. Phys. J. B 73, 515 (2010) ADSCrossRefGoogle Scholar
  32. 32.
    A. Furrer, K.W. Krämer, T. Strässle, D. Biner, J. Hauser, H.U. Güdel, Phys. Rev. B 81, 214437 (2010) ADSCrossRefGoogle Scholar
  33. 33.
    J. Jensen, A.R. Mackintosh, in Rare Earth Magnetism: Structures and Excitations (Clarendon, Oxford, New York, 1991), Vol. 81 Google Scholar
  34. 34.
    M. Georgiev, H. Chamati, AIP Conf. Proc. 2075, 020004 (2019) CrossRefGoogle Scholar
  35. 35.
    I. Fleming, Molecular Orbitals and Organic Chemical Reactions (Wiley Chichester, UK, 2009) Google Scholar
  36. 36.
    B.O. Roos, in Advances in Chemical Physics, edited by K.P. Lawley (John Wiley & Sons, Inc., Hoboken, NJ, USA, 2007), p. 399 Google Scholar
  37. 37.
    P.G. Szalay, T. Müller, G. Gidofalvi, H. Lischka, R. Shepard, Chem. Rev. 112, 108 (2012) CrossRefGoogle Scholar

Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Solid State Physics, Bulgarian Academy of SciencesSofiaBulgaria

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