NEET Physics Semiconducting Devices NEET PYQ-Semiconducting Devices

  • question_answer
    Copper has face-centered cubic (fcc) lattice with interatomic spacing equal to \[2.54\,\overset{o}{\mathop{A}}\,\]. The value of lattice constant for this lattice is:                                                                           [AIPMT (S) 2005]

    A)        \[1.27\,\overset{o}{\mathop{A}}\,\]       

    B)       \[5.08\,\overset{o}{\mathop{A}}\,\]

    C)  \[2.54\,\overset{o}{\mathop{A}}\,\]

    D)                   \[3.59\,\overset{o}{\mathop{A}}\,\]

    Correct Answer: D

    Solution :

    Interatomic spacing for a fcc lattice
                            \[r={{\left[ {{\left( \frac{a}{2} \right)}^{2}}+{{\left( \frac{a}{2} \right)}^{2}}+{{(0)}^{2}} \right]}^{1/2}}=\frac{a}{\sqrt{2}}\]
                a being lattice constant.
                \[\therefore \]      \[a=\sqrt{2}\,r=\sqrt{2}\times 2.54=3.59\,\,{\AA}\]
                Note:    Interatomic spacing is just the nearest neighbours distance. 


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