JEE Main & Advanced Chemistry Chemical Bonding and Molecular Structure / रासायनिक आबंधन एवं आणविक संरचना Question Bank Molecular orbital theory

  • question_answer
    According to molecular orbital theory which of the following statement about the magnetic character and bond order is correct regarding \[O_{2}^{+}\] [IIT JEE Screening 2004]

    A)                 Paramagnetic and bond order<\[{{O}_{2}}\]      

    B)                 Paramagnetic and bond order>\[{{O}_{2}}\]      

    C)                 Dimagnetic and bond order<\[{{O}_{2}}\]

    D)                 Dimagnetic and bond order>\[{{O}_{2}}\]

    Correct Answer: B

    Solution :

               \[{{O}_{2}}\]: \[\sigma 1{{s}^{2}},{{\sigma }^{*}}1{{s}^{2}},\sigma 2{{s}^{2}},{{\sigma }^{*}}2{{s}^{2}},\sigma 2{{p}_{x}}^{2}\left\{ \begin{matrix}    \pi 2{{p}_{y}}^{2}  \\    {}  \\    \pi 2{{p}_{z}}^{2}  \\ \end{matrix} \right.\ \left\{ \begin{matrix}    {{\pi }^{*}}2{{p}_{y}}^{1}  \\    {}  \\    {{\pi }^{*}}2{{p}_{z}}^{1}  \\ \end{matrix} \right.\]            Bond order \[=\frac{10-6}{2}=2.0\]            (Two unpaired electrons in antibonding molecular orbital)\[O_{2}^{+}:\sigma 1{{s}^{2}},{{\sigma }^{*}}1{{s}^{2}},\sigma 2{{s}^{2}},{{\sigma }^{*}}2{{s}^{2}},\sigma 2{{p}_{x}}^{2}\left\{ \begin{matrix}    \pi 2p{{y}^{2}}  \\    \pi 2p{{z}^{2}}  \\ \end{matrix} \right.\left\{ \begin{matrix}    {{\pi }^{*}}2p{{y}^{1}}  \\    {{\pi }^{*}}2p{{z}^{0}}  \\ \end{matrix} \right.\]Bond order \[=\frac{10-5}{2}=2.5\]            (One unpaired electron in antibonding molecular orbital so it is paramagnetic)  


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