AFMC AFMC Solved Paper-2004

  • question_answer
    Oxygen molecule is:

    A) diamagnetic      

    B) paramagnetic

    C) ferromagnetic                  

    D) ferromagnetic

    Correct Answer: B

    Solution :

    According to MOT (molecular orbital theory) oxygen (at. no. 8) has the following orbital configuration \[{{O}_{2}}(16{{e}^{-}})=\sigma 1{{s}^{2}}{{\sigma }^{\centerdot }}1{{s}^{2}}\sigma 2{{s}^{2}}{{\sigma }^{\centerdot }}2{{s}^{2}}\sigma 2p_{z}^{2}\] \[(\pi 2{{p}_{x}}^{2}\pi 2{{p}_{y}}^{2}){{\pi }^{\centerdot }}2{{p}_{x}}^{1}{{\pi }^{*}}2{{p}_{y}}^{1}\] As oxygen has got two unpaired electrons, it is paramagnetic. The sequence of energies of homonuclear diatomic molecule (except\[{{\text{O}}_{\text{2}}}\] and\[{{\text{F}}_{2}}\]) is as follows \[\sigma \,1s\,<{{\sigma }^{*}}\,1s<\sigma 2s<{{\sigma }^{*}}\,2s\] \[<\left[ \begin{matrix}    \pi  & 2{{p}_{x}}  \\    \pi  & 2{{p}_{y}}  \\ \end{matrix} \right]<\sigma 2{{p}_{z}}<\left[ \begin{matrix}    {{\pi }^{*}} & 2{{p}_{x}}  \\    {{\pi }^{*}} & 2{{p}_{y}}  \\ \end{matrix} \right]<{{\sigma }^{*}}2{{p}_{z}}\] For oxygen and fluorine \[\sigma \,1s\,<{{\sigma }^{*}}1s<\sigma 2s<{{\sigma }^{*}}2s<\sigma 2{{p}_{z}}\] \[<\left[ \begin{matrix}    \pi  & 2{{p}_{x}}  \\    \pi  & 2{{p}_{y}}  \\ \end{matrix} \right]<\left[ \begin{matrix}    \pi  & 2{{p}_{x}}  \\    \pi  & 2{{p}_{y}}  \\ \end{matrix} \right]<{{\sigma }^{*}}2{{p}_{z}}\]


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