Ferroic crystals and tensor distinction

References

• Aizu , K . 1970 . Possible species of ferromagnetic, ferroelectric, and ferroelastic crystals . Phys. Rev. B , 2 : 754 – 772 .
   Web of Science ®Google Scholar
• Aizu , K . 1972 . Electrical, mechanical, and electromechanical orders of state shifts in nonmagnetic ferroic crystals . J. Phys. Soc. Jpn. , 32 : 1287 – 1301 .
   Google Scholar
• Aizu , K . 1973 . Second-order ferroic state shifts . J. Phys. Soc. Jpn. , 34 : 121 – 128 .
   Google Scholar
• Van Aken , BB , Rivera , AP , Schmid , H and Fiebig , M . 2007 . Observation of toroidic domains . Nature , 449 : 702 – 705 .
   PubMed Web of Science ®Google Scholar
• Gorbatsevich , AA , V. Kopaev , Yu and Tugushev , VV . 1983 . Anomalous nonlinear effects at phase transitions to ferroelectric and magnetoelectric states . Zh. Eksp. Teor. Fiz. , 85 : 1107 – 1121 . (Engl. Transl. Sov. Phys. JETP 58 (1983), pp. 643–651)
   Google Scholar
• Schmid , H . 2001 . On ferrotoroidics and electrotoroidic, magnetotoroidic and piezotoroidic effects . Ferroelectrics , 252 : 41 – 50 .
   Web of Science ®Google Scholar
• Schmid , H . 2003 . Magnetoelectric Interaction Phenomena in Crystals , Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Schmid , H . 2008 . Some symmetry aspects of ferroic sand single phase multiferroics . J. Phys.: Condens. Matter , 20 : 434201
   Web of Science ®Google Scholar
• Newnham , RE and Cross , LE . 1976 . Secondary ferroics and domain-divided piezoelectrics . Ferroelectrics , 10 : 269 – 276 .
   Web of Science ®Google Scholar
• Newnham , RE . 1974 . Domains in minerals . Am. Mineral , 59 : 906 – 918 .
   Web of Science ®Google Scholar
• Newnham , RE . 2004 . Properties of Materials: Anisotropy, Symmetry, Structure , Oxford : Oxford University Press .
   Google Scholar
• Wadhawan , VK . 1982 . Ferroelasticity and related properties of crystals . Phase Transitions , 3 : 3 – 103 .
   Google Scholar
• Wadhawan , VK . 2000 . Introduction to Ferroic Materials , New York : Gordon and Breach .
   Google Scholar
• Newnham , RE and Cross , LE . 1974 . Symmetry of secondary ferroics – I . Mater. Res. Bull. , 9 : 927 – 933 .
   Web of Science ®Google Scholar
• Newnham , RE and Cross , LE . 1974 . Symmetry of secondary ferroics –II . Mater. Res. Bull. , 9 : 1021 – 1032 .
   Web of Science ®Google Scholar
• Newnham , RE and Skinner , DP Jr . 1976 . Polycrystalline secondary ferroics . Mater. Res. Bull. , 11 : 1273 – 1284 .
   Web of Science ®Google Scholar
• Schmid , H . 2003 . “ Magnetoelectric effects in insulating magnetic materials ” . In Introduction to Complex Mediums for Optics and Electromagnetics , Edited by: Weiglhofer , WS and Lahhtakia , A . 167 – 195 . Bellingham, WA : SPIE Press .
   Google Scholar
• Opechowski , W . 1986 . Crystallographic and Metacrystallographic Groups , Amsterdam : North Holland .
   Google Scholar
• Zamorzaev , AM . 1957 . Generalization of fedorov groups . Kristallografiya , 2 : 15 – 20 . (Engl. Transl. Soviet Phys. Cryst. 2 (1957), pp. 10–15)
   Google Scholar
• Jahn , HA . 1949 . Note on the Bhagavantam-Suryanarayana method of enumerating the physical constants of crystals . Acta Cryst. , 2 : 30 – 33 .
   Web of Science ®Google Scholar
• Nye , JF . 1957 . Physical Properties of Crystals , Oxford : Clarendon Press .
   Google Scholar
• Birss , RR . 1964 . Symmetry and Magnetism , Amsterdam : North Holland .
   Google Scholar
• Kopsky , V . 1979 . Tensorial covariants for the 32 crystal point groups . Acta Cryst. , A35 : 83 – 95 .
   Google Scholar
• Kopsky , V . 1979 . A simplified calculation and tabulation of tensorial covariants for the magnetic point groups belonging to the same Laue class . Acta Cryst. , A35 : 95 – 101 .
   Google Scholar
• Sands , DE . 1982 . Vectors and Tensors in Crystallography , Reading, MA : Addison-Wesley .
   Google Scholar
• Brandmuller , J and Winter , FX . 1985 . Influence of symmetry on the static and dynamic properties of crystals . Z. Kristallogr. , 172 : 191 – 231 .
   Web of Science ®Google Scholar
• Bhagavatam , S . 1965 . Crystal symmetry and magnetic properties . Proc. Indian Acad. Sci. , 34 : 72 – 74 .
   Google Scholar
• Tenenbaum , J . 1966 . Tabulation of the number of independent components of physical tensors for the magnetic classes . Proc. Indian Acad. Sci. , 64 : 74 – 83 .
   Google Scholar
• Grimmer , H . 1991 . General connections for the form of property tensors in the 122 Shubnikov point groups . Acta Cryst. A. , 47 : 226 – 232 .
   Google Scholar
• Sirotin , Yu and Shaskolskaya , MP . 1982 . Fundamentals of Crystal Physics , Moscow : Mir .
   Google Scholar
• Brandmuller , J , Bross , H , Bauer , WG and Winter , FX . 1985 . Tables to accompany J. Brandmuller and F.X. Winter, influence of symmetry on the static and dynamic properties of crystals . Z. Kristallogr. , 172 : 191 – 231 . (second corrected edition with extension to non-crystallographic point groups (1986))
   Web of Science ®Google Scholar
• Authier , A (ed.) . International tables for crystallography, Volume D: Physical Properties of Crystals, Kluwer Academic, Dordrecht, 2003
   Google Scholar
• Litvin , SY and Litvin , DB . 1991 . Rank 0,1,2, and 3 magnetic and non-magnetic physical property tensors . Acta Cryst. , A47 : 290 – 292 .
   Web of Science ®Google Scholar
• Popov , SV , Svirko , YuP and Zheludev , NI . 1995 . Susceptibility Tensors for Nonlinear Optics , Bristol : Institute of Physics .
   Google Scholar
• Popov , SV , Svirko , YuP and Zheludev , NI . 1999 . Encyclopedia of Material Tensors on CD , Chichester : John Wiley .
   Google Scholar
• Ephraim , M , Jannsen , T , Janner , A and Thiers , A . 2003 . Introduction to the accompanying software Tenχar. Section 1.2.7, International Tables for Crystallography, Volume D: Physical properties of crystals, A. Authier, ed. , 62 – 69 . Dordrecht : Kluwer Academic .
   Google Scholar
• Litvin , DB . 1994 . Magnetic Physical property tensors . Acta Cryst. A , 50 : 406 – 408 .
   Google Scholar
• Litvin , DB . 2007 . Ferroic classifications extended to ferrotoroidic crystals . Acta Cryst. A , 64 : 316 – 320 .
   Google Scholar
• Zigmund , Z . 1984 . Symmetry of domain pairs and domain twins . Czech. J. Phys. B , 34 : 932 – 949 .
   Google Scholar
• Janovec , J , Schranz , W , Warhanek , H and Zigmund , Z . 1989 . Symmetry analysis of domain structure in KSCN crystals . Ferroelectrics , 98 : 171 – 189 .
   Web of Science ®Google Scholar
• Litvin , DB . 1984 . Tensor classification of non-magnetic ferroic crystals . Acta Cryst. A , 40 : 255 – 261 .
   Google Scholar
• Litvin , DB . 1985 . Tensorial classification of non-magnetic ferroic crystals: Tensors of rank ≤4 . Acta Cryst. A. , 41 : 89 – 90 .
   Google Scholar
• Litvin , DB . 2008 . Ferroic classifications extended to ferrotoroidic crystals . Acta Cryst. A , 64 : 316 – 320 .
   PubMedGoogle Scholar
• Schmid , H . 1999 . On the possibility of ferromagnetic, antiferromagnetic, ferroelectric, and ferroelastic domain reorientations in magnetic and electric fields . Ferroelectrics , 221 : 9 – 17 .
   Web of Science ®Google Scholar
• Litvin , DB . 2009 . Tensor distinction of domains in ferroic crystals . Eur. Phys. J. B , 71 : 315 – 320 .
   Web of Science ®Google Scholar
• Litvin , DB . 1999 . Tensor distinction of domains in ferroic crystals . Acta Cryst. A , 55 : 884 – 890 .
   PubMedGoogle Scholar
• Shaparenko , B , Schlessman , J and Litvin , DB . 2002 . Domain average engineering in ferroics . Ferroelectrics , 269 : 9 – 14 .
   Web of Science ®Google Scholar
• Litvin , DB , Janovec , V and Litvin , SY . 1994 . Non-ferroelastic magnetoelectric twin laws . Ferroelectrics , 162 : 275 – 280 .
   Google Scholar
• Janovec , V , Cmelik , M and Machonsky , L . Piezoelectric species of ferroic crystals, Available at http://species-piezo.wz.cz/ (2009)
   Google Scholar
• Litvin , DB and Janovec , V . 2005 . Distinction of magnetic non-ferroelastic domains . Acta Cryst. A , 62 : 98 – 102 .
   Google Scholar
• Litvin , DB . to be published
   Google Scholar