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Maxwell`s Equation`s in integral form
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Multiferroics



Multiferroics have been formally defined as materials that exhibit more than one primary ferroic order parameter simultaneously (i.e. in a single phase), and many researchers in the field consider materials to be multiferroics only if they exhibit coupling between primary order parameters. However, the definition of multiferroics can be expanded to include non-primary order parameters, such as antiferromagnetism or ferrimagnetism.The four basic primary ferroic order parameters areferromagnetismferroelectricityferroelasticityferrotoroidicityThe last is a topic of some debate, as there was no evidence for switching ferrotoroidicity until recently.Many multiferroics are transition metal oxides with perovskite crystal structure, and include rare-earth manganites and -ferrites (e.g. TbMnO3, HoMn2O5, LuFe2O4 and recently, ""PZTFT"",). Other examples are the bismuth compounds BiFeO3 and BiMnO3, non-perovskite oxide LiCu2O2, and non-oxides such as BaNiF4 and spinel chalcogenides, e.g. ZnCr2Se4. These alloys show rich phase diagrams combining different ferroic orders in separate phases.Apart from single phase multiferroics, composites and heterostructures exhibiting more than one ferroic order parameter are studied extensively. Some examples include magnetic thin films on piezoelectric PMN-PT substrates and Metglass/PVDF/Metglass trilayer structures.Besides scientific interest in their physical properties, multiferroics have potential for applications as actuators, switches, magnetic field sensors or new types of electronic memory devices.
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