Engineering the Magnetoelectric Response in Piezocrystal-Based Magnetoelectrics: Basic Theory, Choice of Materials, Model Calculations

  • João V. Vidal
  • Andrey A. Timopheev
  • Andrei L. Kholkin
  • Nikolai A. SobolevEmail author
Part of the NanoScience and Technology book series (NANO)


This chapter presents a theoretical basis of the anisotropic magnetoelectric (ME) effect in tri-layers of metglas and piezoelectric (PE) single crystals. The properties of various common PE and magnetostrictive substances are discussed, and arguments for the choice of the most appropriate materials are made. A linear description of the ME effects in terms of electric, magnetic and elastic material fields and material constants is presented. An averaging quasi-static method is used to illustrate the relation between the material constants, their anisotropy and the transversal direct ME voltage and charge coefficients. Subsequently, the aforementioned model is employed in the calculation of the maximum expected direct ME voltage coefficient for a series of tri-layered Metglas/Piezocrystal/Metglas composites as a function of the PE crystal orientation. The ME effects are shown to be strongly dependent on the crystal orientation, which supports the possibility of inducing large ME voltage coefficients in composites comprising lead-free PE single crystals such as LiNbO3, LiTaO3, α-GaPO4, α-quartz, langatate and langasite through the optimization of the crystal orientation.


Piezoelectricity Magnetostriction Magnetoelectric effect Laminar composites 



This work was developed in the scope of the projects I3N/FSCOSD (Ref. FCT UID/CTM/50025/2013), CICECO – Aveiro Institute of Materials – POCI-01-0145-FEDER-007679 (FCT Ref. UID/CTM/50011/2013), and RECI/FIS-NAN/0183/2012 (FCOMP-01-0124-FEDER-027494) financed by national funds through the FCT/MEC and when applicable cofinanced by FEDER under the PT2020 Partnership Agreement. J.V.V. and A.A.T.  thank for the FCT grants SFRH/BD/89097/2012 and SFRH/BPD/74086/2010, respectively. N.A.S. acknowledges support by NUST “MISiS” through grant no. K3-2015-003.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • João V. Vidal
    • 1
  • Andrey A. Timopheev
    • 1
  • Andrei L. Kholkin
    • 2
    • 3
  • Nikolai A. Sobolev
    • 1
    • 4
    Email author
  1. 1.Departamento de Física & I3NUniversidade de AveiroAveiroPortugal
  2. 2.Departamento de Física & CICECOUniversidade de AveiroAveiroPortugal
  3. 3.Institute of Natural SciencesUral Federal UniversityEkaterinburgRussia
  4. 4.National University of Science and Technology “MISiS”MoscowRussia

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