Atoms of element X from hcp lattice and those of element Y occupy $\frac{}{}$ of its tetrahedral voids. The percentage of element X in the lattice is ________. (Nearest integer)

<p>Unit cell = Hexagonal close packing (hcp)</p><p>No. of X in one unit cell = 6</p><p>No. of tetrahedral voids in one unit cell = 12</p><p>No. of Y in one unit cell = <span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>2</mn> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> <mo>*</mo> <mn>1</mn> <mn>2</mn> <mo>=</mo> <mn>8</mn> </mrow> </math> </span><math><mrow><mfrac><mrow></mrow><mrow></mrow></mfrac></mrow></math></p><p>Formula =&gt; X₆ Y₈ =&gt; X₃ Y₄</p><p>% of X in unit cell <span class="mathml" contenteditable="false"> <math> <mrow> <mo>=</mo> <mfrac> <mrow> <mn>3</mn> </mrow> <mrow> <mn>7</mn> </mrow> </mfrac> <mo>*</mo> <mn>1</mn> <mn>0</mn> <mn>0</mn> <mn>%</mn> <mo>=</mo> <mn>4</mn> <mn>3</mn> <mn>%</mn> </mrow> </math> </span><math><mrow><mfrac><mrow></mrow><mrow></mrow></mfrac></mrow></math></p>

0 Upvotes 0 Upvotes 0 Downvotes

• • Report Abuse
• Comment