First-Principles Study on Stability and Magnetism of <svg     style="vertical-align:-4.47127pt;width:65.050003px;" id="M1" height="21.65" version="1.1" viewBox="0 0 65.050003 21.65" width="65.050003"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
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			<g transform="matrix(.022,-0,0,-.022,35.262,16.025)"><path id="x41" d="M673 0h-245v28q47 6 58 16t1 39l-55 154h-213q-31 -87 -36 -129q-16 -47 -5 -61t68 -19v-28h-226v28q50 7 68.5 23.5t43.5 80.5l214 524l24 9l193 -536q23 -63 41.5 -79.5t68.5 -21.5v-28zM418 280l-81 255h-2q-74 -197 -101 -255h184z" /></g><g transform="matrix(.022,-0,0,-.022,50.797,16.025)"><path id="x6C" 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" /></g>

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q42 56 97 103.5t96 71.5q46 26 74 26q9 0 16 -2.5t14 -11.5t9.5 -24.5t-1 -44t-13.5 -68.5q-30 -117 -47 -200q-4 -19 -3.5 -25t6.5 -6q21 0 70 48z" /></g>

		
	
</svg>
(<svg     style="vertical-align:-0.216pt;width:77.162498px;" id="M2" height="14.625" version="1.1" viewBox="0 0 77.162498 14.625" width="77.162498"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,14.3)"><use xlink:href="#x1D45A"/></g><g transform="matrix(.022,-0,0,-.022,23.958,14.3)"><path id="x3D" d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" /></g><g transform="matrix(.022,-0,0,-.022,43.348,14.3)"><path id="x31" d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" /></g><g transform="matrix(.022,-0,0,-.022,54.108,14.3)"><path id="x2D" d="M300 253l-14 -55h-229l14 55h229z" /></g><g transform="matrix(.022,-0,0,-.022,58.367,14.3)"><use xlink:href="#x2D"/></g><g transform="matrix(.022,-0,0,-.022,66.347,14.3)"><path id="x33" d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
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</svg>, <svg     style="vertical-align:-0.27pt;width:70.737503px;" id="M3" height="14.7" version="1.1" viewBox="0 0 70.737503 14.7" width="70.737503"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,14.3)"><use xlink:href="#x1D45B"/></g><g transform="matrix(.022,-0,0,-.022,17.525,14.3)"><use xlink:href="#x3D"/></g><g transform="matrix(.022,-0,0,-.022,36.915,14.3)"><use xlink:href="#x31"/></g><g transform="matrix(.022,-0,0,-.022,47.675,14.3)"><use xlink:href="#x2D"/></g><g transform="matrix(.022,-0,0,-.022,51.934,14.3)"><use xlink:href="#x2D"/></g><g transform="matrix(.022,-0,0,-.022,59.914,14.3)"><path id="x39" d="M244 635q90 0 143 -72t53 -177q0 -133 -65 -229.5t-171 -139.5q-79 -32 -140 -32l-5 30q109 18 185 91t101 186l-68 -36q-29 -16 -60 -16q-79 0 -129 51.5t-50 130.5q0 80 57 146.5t149 66.5zM228 602q-52 0 -78 -45.5t-26 -98.5q0 -69 36.5 -115.5t97.5 -46.5
q53 0 90 28q4 31 4 66q0 51 -9.5 95.5t-39 80.5t-75.5 36z" /></g>

		
	
</svg>) Clusters

<table>The HOMO and LUMO orbitals of the <svg height="16.450001" id="M217" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 45.724998 16.450001" width="45.724998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path d="M719 650v-28q-43 -2 -62 -15t-22 -44q-6 -47 -6 -169v-403h-31l-426 524h-2v-251q0 -111 6 -169q4 -37 24 -50.5t72 -16.5v-28h-237v28q45 2 64.5 16t23.5 49q6 62 6 171v220q0 54 -3 68.5t-17 32.5q-16 19 -34.5 26.5t-54.5 10.5v28h147l418 -502h3v246q0 117 -7 166
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<g transform="matrix(.012,-0,0,-.012,16.887,16.25)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
<g transform="matrix(.017,-0,0,-.017,23.225,12.162)"><path d="M673 0h-245v28q47 6 58 16t1 39l-55 154h-213q-31 -87 -36 -129q-16 -47 -5 -61t68 -19v-28h-226v28q50 7 68.5 23.5t43.5 80.5l214 524l24 9l193 -536q23 -63 41.5 -79.5t68.5 -21.5v-28zM418 280l-81 255h-2q-74 -197 -101 -255h184z" id="x41"></path></g><g transform="matrix(.017,-0,0,-.017,35.022,12.162)"><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(.012,-0,0,-.012,39.325,16.25)"><path d="M137 343l67 33q37 17 63 17q79 0 129.5 -53t50.5 -131q0 -92 -58 -156.5t-147 -64.5t-147 68t-58 182q0 63 17 119t43 95.5t61.5 72t69 52t67.5 31.5q62 22 128 33l6 -32q-56 -11 -108 -35q-149 -71 -184 -231zM227 337q-47 0 -95 -27q-6 -23 -6 -70q0 -93 36 -155.5
t96 -62.5q53 0 78 45.5t25 105.5q0 68 -35 116t-99 48z" id="x36"></path></g>
</svg>  cluster. </table>

The Scientific World Journal

fig5

Figure 5

Figure 5: First-Principles Study on Stability and Magnetism of <svg     style="vertical-align:-4.47127pt;width:65.050003px;" id="M1" height="21.65" version="1.1" viewBox="0 0 65.050003 21.65" width="65.050003"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,16.025)"><path id="x4E" d="M719 650v-28q-43 -2 -62 -15t-22 -44q-6 -47 -6 -169v-403h-31l-426 524h-2v-251q0 -111 6 -169q4 -37 24 -50.5t72 -16.5v-28h-237v28q45 2 64.5 16t23.5 49q6 62 6 171v220q0 54 -3 68.5t-17 32.5q-16 19 -34.5 26.5t-54.5 10.5v28h147l418 -502h3v246q0 117 -7 166
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			<g transform="matrix(.016,-0,0,-.016,22.25,21.4)"><path id="x1D45A" d="M766 88q-40 -45 -83.5 -72.5t-63.5 -27.5q-39 0 -16 103l49 224q15 68 -10 68q-36 0 -112.5 -78.5t-105.5 -133.5q-27 -101 -38 -165q-35 -4 -77 -18l-6 6q42 153 70 288q12 55 10 78t-19 23q-38 0 -114 -80.5t-101 -131.5q-24 -68 -41 -165q-36 -3 -76 -18l-8 6
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			<g transform="matrix(.022,-0,0,-.022,35.262,16.025)"><path id="x41" d="M673 0h-245v28q47 6 58 16t1 39l-55 154h-213q-31 -87 -36 -129q-16 -47 -5 -61t68 -19v-28h-226v28q50 7 68.5 23.5t43.5 80.5l214 524l24 9l193 -536q23 -63 41.5 -79.5t68.5 -21.5v-28zM418 280l-81 255h-2q-74 -197 -101 -255h184z" /></g><g transform="matrix(.022,-0,0,-.022,50.797,16.025)"><path id="x6C" 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" /></g>

			<g transform="matrix(.016,-0,0,-.016,56.488,21.4)"><path id="x1D45B" d="M495 86q-46 -47 -87 -72.5t-63 -25.5q-43 0 -16 107l49 210q7 34 8 50.5t-3 21t-13 4.5q-35 0 -109.5 -72.5t-115.5 -140.5q-21 -75 -38 -159q-50 -10 -76 -21l-6 8l84 340q8 35 -4 35q-17 0 -67 -46l-15 26q44 44 85.5 70.5t64.5 26.5q35 0 10 -103l-24 -98h2
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</svg>
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			<g transform="matrix(.022,-0,0,-.022,.062,14.3)"><use xlink:href="#x1D45A"/></g><g transform="matrix(.022,-0,0,-.022,23.958,14.3)"><path id="x3D" d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" /></g><g transform="matrix(.022,-0,0,-.022,43.348,14.3)"><path id="x31" d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" /></g><g transform="matrix(.022,-0,0,-.022,54.108,14.3)"><path id="x2D" d="M300 253l-14 -55h-229l14 55h229z" /></g><g transform="matrix(.022,-0,0,-.022,58.367,14.3)"><use xlink:href="#x2D"/></g><g transform="matrix(.022,-0,0,-.022,66.347,14.3)"><path id="x33" d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
q0 45 -26.5 69.5t-68.5 24.5q-67 0 -120 -79l-20 20l43 63q51 56 127 56h1q66 0 107 -37t41 -95q0 -42 -31 -71q-22 -23 -68 -54z" /></g>

		
	
</svg>, <svg     style="vertical-align:-0.27pt;width:70.737503px;" id="M3" height="14.7" version="1.1" viewBox="0 0 70.737503 14.7" width="70.737503"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,14.3)"><use xlink:href="#x1D45B"/></g><g transform="matrix(.022,-0,0,-.022,17.525,14.3)"><use xlink:href="#x3D"/></g><g transform="matrix(.022,-0,0,-.022,36.915,14.3)"><use xlink:href="#x31"/></g><g transform="matrix(.022,-0,0,-.022,47.675,14.3)"><use xlink:href="#x2D"/></g><g transform="matrix(.022,-0,0,-.022,51.934,14.3)"><use xlink:href="#x2D"/></g><g transform="matrix(.022,-0,0,-.022,59.914,14.3)"><path id="x39" d="M244 635q90 0 143 -72t53 -177q0 -133 -65 -229.5t-171 -139.5q-79 -32 -140 -32l-5 30q109 18 185 91t101 186l-68 -36q-29 -16 -60 -16q-79 0 -129 51.5t-50 130.5q0 80 57 146.5t149 66.5zM228 602q-52 0 -78 -45.5t-26 -98.5q0 -69 36.5 -115.5t97.5 -46.5
q53 0 90 28q4 31 4 66q0 51 -9.5 95.5t-39 80.5t-75.5 36z" /></g>

		
	
</svg>) Clusters 

The Scientific World Journal

First-Principles Study on Stability and Magnetism of ( , ) Clusters

Figure 5

First-Principles Study on Stability and Magnetism of (, ) Clusters