Magnetic and Magnetoelectric Properties of Rare Earth Molybdates

<table>The field dependence of the magnetically induced electric polarization in TMO along the [110] axis at <svg height="11.825" id="M335" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 61.462502 11.825" width="61.462502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.55)"><use xlink:href="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,16.092,11.55)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,30.796,11.55)"><path d="M447 623l8 -12l-283 -613l-74 -10l-7 11q174 283 297 551h-216q-48 0 -62.5 -12t-33.5 -63h-29q10 60 18 148h382z" id="x37"></path></g><g transform="matrix(.017,-0,0,-.017,38.956,11.55)"><use xlink:href="#x37"></use></g><g transform="matrix(.017,-0,0,-.017,49.954,11.55)"><use xlink:href="#x4B"></use></g>
</svg><i>. </i>The pulsed magnetic field is directed along the <svg height="17.9375" id="M336" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 36.337502 17.9375" width="36.337502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,15.1)"><path d="M290 -163h-170v866h170v-28q-79 -7 -94 -19.5t-15 -72.5v-627q0 -59 14.5 -71.5t94.5 -19.5v-28z" id="x5B"></path></g><g transform="matrix(.017,-0,0,-.017,5.927,15.1)"><use xlink:href="#x31"></use></g>
<g transform="matrix(1.25,0,0,-1.25,90,90)">
<path d="m -60.73,70.93 6.53,0" style="fill:none;stroke:#000000;stroke-width:0.68000001;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<g transform="matrix(.017,-0,0,-.017,14.088,15.1)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,22.247,15.1)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,30.406,15.1)"><path d="M226 -163h-170v27q79 7 94 20t15 73v627q0 59 -15 72t-94 20v27h170v-866z" id="x5D"></path></g>
</svg> axis. The solid line is the least-square fitting by <svg height="20.2125" id="M337" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 68.012497 20.2125" width="68.012497" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,15.775)"><path d="M619 482q0 -69 -40.5 -119t-96 -72.5t-118.5 -26.5h-44l-70 20l-31 -151q-14 -67 0.5 -83t89.5 -22l-5 -28h-287l8 28q65 7 81.5 22t29.5 83l79 398q12 56 0.5 70.5t-78.5 20.5l7 28h255q108 0 164 -43t56 -125zM524 478q0 141 -146 141q-25 0 -47 -8q-16 -6 -20.5 -13.5
t-10.5 -39.5l-43 -241q37 -13 83 -13q67 0 125.5 45t58.5 129z" id="x1D443"></path></g><g transform="matrix(.017,-0,0,-.017,15.582,15.775)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,30.286,15.775)"><path d="M570 304q0 -108 -87 -199q-40 -42 -94.5 -74t-105.5 -43q-41 0 -65 11l-29 -141q-9 -45 -1.5 -58t45.5 -16l26 -2l-5 -29l-241 -10l4 26q51 10 67.5 24t26.5 60l113 520q-54 -20 -89 -41l-7 26q38 28 105 53l11 49q20 25 77 58l8 -7l-17 -77q39 14 102 14q82 0 119 -36
t37 -108zM482 289q0 114 -113 114q-26 0 -66 -7l-70 -327q12 -14 32 -25t39 -11q59 0 118.5 81.5t59.5 174.5z" id="x1D45D"></path></g>
<g transform="matrix(.012,-0,0,-.012,40.375,19.862)"><use xlink:href="#x30"></use></g>
<g transform="matrix(.017,-0,0,-.017,46.712,15.775)"><use xlink:href="#x1D43B"></use></g>
<g transform="matrix(.012,-0,0,-.012,61.612,7.613)"><use xlink:href="#x32"></use></g>
</svg>. <svg height="20.2125" id="M338" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 238.0125 20.2125" width="238.0125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,15.775)"><use xlink:href="#x1D45D"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.138,19.862)"><use xlink:href="#x30"></use></g>
<g transform="matrix(.017,-0,0,-.017,21.2,15.775)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,35.887,15.775)"><use xlink:href="#x34"></use></g><g transform="matrix(.017,-0,0,-.017,44.046,15.775)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,47.922,15.775)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,56.081,15.775)"><use xlink:href="#x32"></use></g><g transform="matrix(.017,-0,0,-.017,68.015,15.775)"><path d="M170 255q0 -25 -16 -41t-40 -16t-40 16t-16 41t16 41.5t40 16.5t40 -16.5t16 -41.5z" id="x22C5"></path></g><g transform="matrix(.017,-0,0,-.017,75.681,15.775)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,83.84,15.775)"><use xlink:href="#x30"></use></g>
<g transform="matrix(.012,-0,0,-.012,92,7.613)"><path d="M535 230h-483v50h483v-50z" id="x2212"></path></g><g transform="matrix(.012,-0,0,-.012,98.985,7.613)"><use xlink:href="#x31"></use></g><g transform="matrix(.012,-0,0,-.012,104.696,7.613)"><use xlink:href="#x39"></use></g>
<g transform="matrix(.017,-0,0,-.017,113.863,15.775)"><path d="M614 175l29 -10q-33 -109 -57 -154q-121 -26 -184 -26q-90 0 -160.5 29t-112.5 77t-63.5 105.5t-21.5 119.5q0 157 108 253t277 96q36 0 71.5 -5t69 -13.5t36.5 -8.5q15 -102 20 -150l-29 -8q-20 79 -66.5 114t-128.5 35q-119 0 -187.5 -86t-68.5 -207
q0 -140 73.5 -227.5t188.5 -87.5q73 0 119.5 37.5t86.5 116.5z" id="x43"></path></g><g transform="matrix(.017,-0,0,-.017,125.422,15.775)"><path d="M257 449q92 0 154 -65t62 -158q0 -112 -67 -175t-150 -63q-98 0 -158.5 66.5t-60.5 154.5q0 59 21 106.5t54.5 75.5t71 43t73.5 15zM244 416q-48 0 -81 -47t-33 -128q0 -96 38 -158t99 -62q51 0 82 43.5t31 139.5q0 91 -36 151.5t-100 60.5z" id="x6F"></path></g><g transform="matrix(.017,-0,0,-.017,133.921,15.775)"><path d="M518 50v-26q-32 -4 -77 -16l-37 -11t-33 -9l-6 6v71q-56 -42 -74 -52q-43 -25 -77 -25q-55 0 -89.5 36.5t-34.5 112.5v196q0 38 -6.5 48.5t-26.5 15.5l-28 6v23q19 1 72 7q59 9 71 11q-3 -31 -3 -145v-135q0 -113 88 -113q59 0 108 48v234q0 38 -8 49t-34 15l-36 6v23
q44 2 90 8q37 4 67 10v-334q0 -37 8.5 -47t38.5 -12z" id="x75"></path></g><g transform="matrix(.017,-0,0,-.017,143.015,15.775)"><path d="M238 0h-223v26q48 5 60 17t12 61v473q0 50 -10.5 60.5t-58.5 15.5v24q73 8 148 35v-608q0 -49 11.5 -61t60.5 -17v-26z" id="x6C"></path></g><g transform="matrix(.017,-0,0,-.017,151.09,15.775)"><use xlink:href="#x22C5"></use></g><g transform="matrix(.017,-0,0,-.017,158.739,15.775)"><path d="M390 111l17 -21q-34 -45 -80 -73.5t-89 -28.5q-91 0 -146 62t-55 147q0 118 101 195q74 57 149 57h1q59 0 90 -27q16 -14 16 -30q0 -15 -12 -29t-21 -14q-8 0 -19 11q-44 41 -101 41q-52 0 -87.5 -42.5t-35.5 -117.5q0 -49 15 -87t39 -58t49 -30t48 -10q33 0 60.5 12
t60.5 43z" id="x63"></path></g><g transform="matrix(.017,-0,0,-.017,165.93,15.775)"><path d="M797 0h-214v26q46 5 58 17.5t12 63.5v167q0 116 -88 116q-48 0 -112 -52q3 -18 3 -42v-195q0 -46 11 -58t53 -17v-26h-214v26q48 5 59.5 17t11.5 60v172q0 115 -88 115q-47 0 -109 -52v-235q0 -47 10 -59.5t48 -17.5v-26h-211v26q50 5 62.5 17t12.5 60v207q0 48 -9 59.5
t-52 18.5v23q79 14 139 41v-81q3 2 29 20.5t44 29.5q45 28 81 28t66 -22t46 -61q25 20 83 57q39 26 76 26q59 0 93 -40t34 -113v-193q0 -49 10.5 -60.5t54.5 -16.5v-26z" id="x6D"></path></g>
<g transform="matrix(.012,-0,0,-.012,179.862,7.613)"><use xlink:href="#x2212"></use></g><g transform="matrix(.012,-0,0,-.012,186.847,7.613)"><use xlink:href="#x32"></use></g>
<g transform="matrix(.017,-0,0,-.017,196.962,15.775)"><use xlink:href="#x22C5"></use></g><g transform="matrix(.017,-0,0,-.017,204.612,15.775)"><use xlink:href="#x4F"></use></g><g transform="matrix(.017,-0,0,-.017,217.412,15.775)"><use xlink:href="#x65"></use></g>
<g transform="matrix(.012,-0,0,-.012,224.638,7.613)"><use xlink:href="#x2212"></use></g><g transform="matrix(.012,-0,0,-.012,231.622,7.613)"><use xlink:href="#x32"></use></g>
</svg>.</table>

Physics Research International

Magnetic and Magnetoelectric Properties of Rare Earth Molybdates

Figure 6