Classify each of the species given below as para-magnetic or diamagnetic Classify each of the species…
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Question “Classify each of the species given below as para-magnetic or diamagnetic Classify each of the species…”
Classify each of the species given below as para-magnetic or
diamagnetic
Answer
This problem is based upon the concept of Molecular Orbital Theory. The MOT can be used for predicting whether the molecule will be paramagnetic (or diamagnetic).
If all electrons are paired, the molecular is diamagnetic. However, if there are unpaired electrons in the molecule, it will be paramagnetic.
Write the molecular orbital configurations for the molecules using MOT to classify them as either paramagnetic (or diamagnetic) molecules. Next, classify the molecules based on paired or unpaired electrons.
The molecular orbital configuration of \rmO_\rm2 \sigma 1s^2\sigma ^*1s^2\sigma 2s^2\sigma ^*2s^2\sigma 2p_x^2\left\ \pi 2p_y^2,\pi 2p_z^2 \right\\left\ \pi ^*2p_y^1,\pi ^*2p_z^1 \right\
The {\rm{O}}_2^{2 - } molecular orbital configuration
\sigma 1s^2\sigma ^*1s^2\sigma 2s^2\sigma ^*2s^2\sigma 2p_x^2\left\ \pi 2p_y^2,\pi 2p_z^2 \right\\left\ \pi ^*2p_y^2,\pi ^*2p_z^2 \right\The molecular orbital configuration for rmO_22+ \sigma 1s^2\sigma ^*1s^2\sigma 2s^2\sigma ^*2s^2\sigma 2p_x^2\left\ \pi 2p_y^2,\pi 2p_z^2 \right\
Hence, \rmO_\rm2
The molecular orbital configuration for F 2 is:
\sigma 1s^2\sigma ^*1s^2\sigma 2s^2\sigma ^*2s^2\sigma 2p_x^2\left\ \pi 2p_y^2,\pi 2p_z^2 \right\\left\ \pi ^*2p_y^2,\pi ^*2p_z^2 \right\The molecular orbital configuration for rmF_22+ \sigma 1s^2\sigma ^*1s^2\sigma 2s^2\sigma ^*2s^2\sigma 2p_x^2\left\ \pi 2p_y^2,\pi 2p_z^2 \right\\left\ \pi ^*2p_y^1,\pi ^*2p_z^1 \right\
The {\rm{F}}_2^{2 - } molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\sigma 2p_x^2\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}\left\{ {{\pi ^*}2p_y^2,{\pi ^*}2p_z^2} \right\}{\sigma ^*}2p_x^2
F is the result.
2
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The {{\rm{N}}_2} molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}\sigma 2p_x^2The {\rm{N}}_{\rm{2}}^{\rm{ + }} molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}\sigma 2p_x^1The {\rm{N}}_{\rm{2}}^ - molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}\sigma 2p_x^2\left\{ {{\pi ^*}2p_y^1,{\pi ^*}2p_z^0} \right\}The molecular orbital configuration for {\rm{N}}_{\rm{2}}^{{\rm{2 + }}} \sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}
Hence, {{\rm{N}}_2}
The {{\rm{C}}_2} molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}The {\rm{C}}_{\rm{2}}^{{\rm{2 + }}} molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^1,\pi 2p_z^1} \right\}The {\rm{C}}_{\rm{2}}^{2 - } molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}\sigma 2p_x^2Hence, {{\rm{C}}_2}
The {{\rm{B}}_2} molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^1,\pi 2p_z^1} \right\}The {\rm{B}}_{\rm{2}}^{{\rm{2 + }}} molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}The {\rm{B}}_{\rm{2}}^{2 - } molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^2}\sigma 2{s^2}\sigma {}^*2{s^2}\left\{ {\pi 2p_y^2,\pi 2p_z^2} \right\}Hence, {{\rm{B}}_2}
The {{\rm{H}}_2} molecular orbital configuration
\sigma 1{s^2}The {\rm{H}}_{\rm{2}}^ - molecular orbital configuration
\sigma 1{s^2}{\sigma ^*}1{s^1}Hence, {{\rm{H}}_2}Ans:
O
2
{\rm{O}}_2^{2 - } is paramagnetic
F
2
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Conclusion
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