GISAXS View of Induced Morphological Changes in Nanostructured CeVO<sub>4</sub> Thin Films

<table>The geometry of GISAXS measurements. <svg height="15.7" id="M26" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 13.5125 15.7" width="13.5125" 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)"><path d="M543 24v-24h-234v24q42 2 42 19q0 12 -24 45l-95 134l-23 -24v-114q0 -35 8.5 -45t43.5 -15v-24h-239v24q48 4 48 60v510q0 54 -48 58v24h187v-431l128 128q21 21 21 38q0 18 -35 23l-24 4v23h214v-23q-46 -6 -81 -29q-33 -23 -108 -102l194 -268q10 -15 25 -15z" id="x1D424"></path></g>
<g transform="matrix(.012,-0,0,-.012,9.512,15.637)"><path d="M215 613q2 -33 -22.5 -55.5t-55 -22t-55.5 22.5q-22 25 -22.5 55.5t23 55t56.5 22.5q31 0 53.5 -23t22.5 -55zM256 24v-24h-240v24q34 7 44 19q9 11 9 45v285q0 33 -10.5 45t-43.5 19v24h193v-376q0 -32 10.5 -44.5t37.5 -16.5z" id="x1D422"></path></g>
</svg> is the wave vector of the incident X-ray beam, <svg height="15.7" id="M27" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 14.1625 15.7" width="14.1625" 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)"><path d="M543 24v-24h-234v24q42 2 42 19q0 12 -24 45l-95 134l-23 -24v-114q0 -35 8.5 -45t43.5 -15v-24h-239v24q48 4 48 60v510q0 54 -48 58v24h187v-431l128 128q21 21 21 38q0 18 -35 23l-24 4v23h214v-23q-46 -6 -81 -29q-33 -23 -108 -102l194 -268q10 -15 25 -15z" id="x1D424"></path></g>
<g transform="matrix(.012,-0,0,-.012,9.512,15.637)"><path d="M14 417v44h57q0 132 40 179q42 51 135 51q64 0 103.5 -28t39.5 -72q0 -28 -17 -46t-45 -18q-25 0 -42.5 17t-17.5 40q0 12 5.5 25t11 22t5.5 10q0 19 -29 19q-27 0 -38.5 -17.5t-11.5 -61.5v-120h86v-44h-86v-310q0 -49 15 -66q14 -15 67 -17v-24h-278v24q34 4 45.5 16.5
t11.5 46.5v330h-57z" id="x1D41F"></path></g>
</svg>  is the wave vector of the outgoing X-ray beam, and <b>q</b> is the scattering wave vector, with the components, <svg height="15.8125" id="M28" style="vertical-align:-6.47963pt" version="1.1" viewbox="0 0 15.9875 15.8125" width="15.9875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M474 429q-19 -69 -47 -222l-65 -347q-8 -49 0 -60t49 -16l26 -3l-4 -26l-246 -12l4 25l17 3q37 6 50 20.5t23 60.5l67 321h-2q-65 -79 -150 -138q-69 -47 -104 -47q-28 0 -48.5 32t-20.5 81q0 78 35 148t90 117q67 57 161 77q23 5 58 5q43 0 90 -15zM387 387
q-30 16 -75 16q-58 0 -92 -27q-49 -39 -78.5 -112t-29.5 -136q0 -34 8.5 -52.5t21.5 -18.5q40 0 109.5 63.5t103.5 115.5q16 53 32 151z" id="x1D45E"></path></g>
<g transform="matrix(.012,-0,0,-.012,8.413,12.638)"><path d="M556 393q0 -39 -36 -106q-42 -78 -185 -279q-47 -66 -81 -108t-117 -135l-112 -26l-8 22q150 90 251 219q-6 136 -39 340q-8 53 -21 53q-6 0 -27 -19.5t-38 -42.5l-16 26q80 111 127 111q23 0 35 -28t20 -90q18 -137 27 -263h2q142 200 142 279q0 24 -14 48q-4 7 5 26
q13 28 43 28q18 0 30 -15.5t12 -39.5z" id="x1D466"></path></g>
</svg> and <svg height="12.9375" id="M29" style="vertical-align:-4.1769pt" version="1.1" viewbox="0 0 15.025 12.9375" width="15.025" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M474 429q-19 -69 -47 -222l-65 -347q-8 -49 0 -60t49 -16l26 -3l-4 -26l-246 -12l4 25l17 3q37 6 50 20.5t23 60.5l67 321h-2q-65 -79 -150 -138q-69 -47 -104 -47q-28 0 -48.5 32t-20.5 81q0 78 35 148t90 117q67 57 161 77q23 5 58 5q43 0 90 -15zM387 387
q-30 16 -75 16q-58 0 -92 -27q-49 -39 -78.5 -112t-29.5 -136q0 -34 8.5 -52.5t21.5 -18.5q40 0 109.5 63.5t103.5 115.5q16 53 32 151z" id="x1D45E"></path></g>
<g transform="matrix(.012,-0,0,-.012,8.413,12.637)"><path d="M475 445l-64 -69q-119 -128 -289 -280q27 6 81 -15q66 -26 102 -26q48 0 111 93l23 -19q-41 -84 -75.5 -116.5t-73.5 -32.5q-37 0 -147 53q-43 21 -63 7q-22 -15 -38 -41q-4 -7 -11 -7q-8 10 -8 26q0 38 47 83l292 273q-32 -5 -67 -1q-63 7 -105 7q-32 0 -53.5 -22
t-47.5 -67l-25 13q15 39 38 78q40 66 83 66q57 0 120 -12q52 -10 80 -10q29 0 67 42z" id="x1D467"></path></g>
</svg>. The unit vector <b>n</b> is normal to the sample surface. The wave vector <svg height="15.925" id="M30" style="vertical-align:-3.4576pt" version="1.1" viewbox="0 0 25.4 15.925" width="25.4" 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)"><path d="M543 24v-24h-234v24q42 2 42 19q0 12 -24 45l-95 134l-23 -24v-114q0 -35 8.5 -45t43.5 -15v-24h-239v24q48 4 48 60v510q0 54 -48 58v24h187v-431l128 128q21 21 21 38q0 18 -35 23l-24 4v23h214v-23q-46 -6 -81 -29q-33 -23 -108 -102l194 -268q10 -15 25 -15z" id="x1D424"></path></g>
<g transform="matrix(.012,-0,0,-.012,9.512,15.637)"><path d="M484 692v-218h-28q-25 83 -70 130q-54 56 -123 56q-51 0 -80.5 -27t-29.5 -72q0 -37 21 -59q23 -25 82 -55q14 -8 68 -36q67 -34 80 -41q50 -28 79.5 -74.5t29.5 -101.5q0 -96 -69 -154q-68 -59 -179 -59q-61 0 -130 24q-30 10 -41 10q-23 0 -30 -34h-29v248h29
q23 -97 60 -143q57 -72 144 -72q58 0 92 30.5t34 82.5q0 47 -57 88q-30 21 -122 65q-91 44 -131 91.5t-40 118.5q0 95 58.5 148t160.5 53q54 0 117 -23q27 -9 42 -9q14 0 20.5 6.5t11.5 26.5h30z" id="x1D412"></path></g><g transform="matrix(.012,-0,0,-.012,16.128,15.637)"><path d="M716 25v-25h-205l-207 313h-28v-196q0 -53 14 -69q16 -16 74 -23v-25h-338v25q60 8 73 22q15 15 15 73v431q0 58 -17 77q-16 19 -71 23v25h308q296 0 296 -172q0 -76 -45 -118q-42 -38 -112 -57l199 -282q15 -22 44 -22zM276 597v-252q103 1 143 31t40 118
q0 79 -30 113.5t-100 34.5q-29 0 -41 -10t-12 -35z" id="x1D411"></path></g>
</svg> is in the direction of the specular reflection.</table>

Journal of Nanomaterials

fig1

Figure 1

Figure 1: GISAXS View of Induced Morphological Changes in Nanostructured CeVO<sub>4</sub> Thin Films 

Journal of Nanomaterials

GISAXS View of Induced Morphological Changes in Nanostructured CeVO4 Thin Films

Figure 1

GISAXS View of Induced Morphological Changes in Nanostructured CeVO₄ Thin Films