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Structure, phase diagram and magnetic properties of Bi<sub>1−<span style='font-style: italic'>xsub>La<sub>xsub>FeO<sub>3sub> solid solution
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A series of polycrystalline Bi<sub>1&minus;xsub>La<sub>xsub>FeO<sub>3sub> (0≤x≤1.00) solid solution were synthesized by sol&ndash;gel method. The effects of lanthanum concentration on the phase formation, phase transition and magnetic properties were studied. The XRD results displayed that there is a clear indication of structural modification and symmetry change brought about by La doping. At room temperature the crystal structure of the solid solution transforms from rhombohedral R3c (x≤0.15) to tetragonal P4mm (0.15<x  <0.40), then to cubic <span id="mmlsi0002" class="mathmlsrc">he MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0272884216000031&_mathId=si0002.gif&_user=111111111&_pii=S0272884216000031&_rdoc=1&_issn=02728842&md5=34ed39e41f75ed0c199a5c6d58e8dd4f">ss="imgLazyJSB inlineImage" height="15" width="44" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0272884216000031-si0002.gif">script>height="15" border="0" style="vertical-align:bottom" width="44" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0272884216000031-si0002.gif">script><span class="mathContainer hidden"><span class="mathCode">h altimg="si0002.gif" overflow="scroll">Pm3¯mh>span>span>span> (0.40≤x<0.50), and finally to orthorhombic Pbnm (0.50≤x  ≤1.00). In situ high temperature X-ray powder diffraction studies reveal that phase transformations of the rhombohedral R3c and the cubic <span id="mmlsi0002" class="mathmlsrc">he MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0272884216000031&_mathId=si0002.gif&_user=111111111&_pii=S0272884216000031&_rdoc=1&_issn=02728842&md5=34ed39e41f75ed0c199a5c6d58e8dd4f">ss="imgLazyJSB inlineImage" height="15" width="44" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0272884216000031-si0002.gif">script>height="15" border="0" style="vertical-align:bottom" width="44" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0272884216000031-si0002.gif">script><span class="mathContainer hidden"><span class="mathCode">h altimg="si0002.gif" overflow="scroll">Pm3¯mh>span>span>span> to the orthorhombic Pbnm occur in the temperature regions of 680&ndash;730 °C and 300&ndash;680 °C,respectively. The phase transformations of the tetragonal P4mm to the cubic <span id="mmlsi0002" class="mathmlsrc">he MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0272884216000031&_mathId=si0002.gif&_user=111111111&_pii=S0272884216000031&_rdoc=1&_issn=02728842&md5=34ed39e41f75ed0c199a5c6d58e8dd4f">ss="imgLazyJSB inlineImage" height="15" width="44" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0272884216000031-si0002.gif">script>height="15" border="0" style="vertical-align:bottom" width="44" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0272884216000031-si0002.gif">script><span class="mathContainer hidden"><span class="mathCode">h altimg="si0002.gif" overflow="scroll">Pm3¯mh>span>span>span> occurs in the temperature region of 200&ndash;230 °C, whereas the phase structure of orthorhombic Pbnm keeps unchanged below 850 °C. Based on careful characterization of crystal structure and phase transition as a function of temperature, the phase diagram of the pseudo-binary BiFeO<sub>3sub>&ndash;LaFeO<sub>3sub> system has been constructed. The phase diagram manifests that the Bi<sub>1&minus;xsub>La<sub>xsub>FeO<sub>3sub> (0≤x≤1.00) solid solution provides more options to tune the magnetism and multiferroism, as the crystal structures with polarity feature occur in a wide doping concentration of La (x≤0.30). We then selectively studied the magnetic properties of possible multiferroic phases, i.e. R3c and P4mm phases. The results revealed that both the magnetic remanence and the coercive field of Bi<sub>1&minus;xsub>La<sub>xsub>FeO<sub>3sub> (0<x≤0.30) increased with the La content.

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