According to molecular orbital theory, the species among the following that does not exist is:

Option 1 -

$H e_{2}^{-}$

Option 2 -

$H e_{2}^{+}$

Option 3 -

Be₂

Option 4 -

$O_{2}^{2 -}$

2 Views | Posted 3 weeks ago

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1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

3 weeks ago

Correct Option - 3

Detailed Solution:

(1) $H e_{2}^{-} σ_{1 s}^{2} σ_{1 s}^{* 2} σ_{2 s}^{1} B . O = \frac{3 - 2}{2} = \frac{1}{2}$ $_{}^{}_{}^{}_{}^{}_{}^{} \frac{}{} \frac{}{}$

(2) $H e_{2}^{+} σ_{1 s}^{2} σ_{1 s}^{* 1} B . O = \frac{2 - 1}{2} = \frac{1}{2}$ $_{}^{}_{}^{}_{}^{} \frac{}{} \frac{}{}$

(3) $B e_{2} σ_{1 s}^{2} σ_{1 s}^{* 2} σ_{2 s}^{2} σ_{2 s}^{* 2} B . O = \frac{4 - 4}{2} = 0$ $_{}_{}^{}_{}^{}_{}^{}_{}^{} \frac{}{}$

So Be2 does not exits

(1) <math> <mrow> <mi>H</mi> <msubsup> <mrow> <mi>e</mi> </mrow> <mrow> <mn>2</mn> </mrow> <mrow> <mo>−</mo> </mrow> </msubsup> <mtext> </mtext> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>1</mn> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msubsup> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>1</mn> <mi>s</mi> </mrow> <mrow> <mo>*</mo> <mn>2</mn> </mrow> </msubsup> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>2</mn> <mi>s</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msubsup> <mtext> </mtext> <mi>B</mi> <mo>.</mo> <mi>O</mi> <mo>=</mo> <mfrac> <mrow> <mn>3</mn> <mo>−</mo> <mn>2</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math> <math><mrow><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><mtext></mtext><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><mtext></mtext><mfrac><mrow></mrow><mrow></mrow></mfrac><mfrac><mrow></mrow><mrow></mrow></mfrac></mrow></math>(2) <math> <mrow> <mi>H</mi> <msubsup> <mrow> <mi>e</mi> </mrow> <mrow> <mn>2</mn> </mrow> <mrow> <mo>+</mo> </mrow> </msubsup> <mtext> </mtext> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>1</mn> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msubsup> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>1</mn> <mi>s</mi> </mrow> <mrow> <mo>*</mo> <mn>1</mn> </mrow> </msubsup> <mtext> </mtext> <mi>B</mi> <mo>.</mo> <mi>O</mi> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo>−</mo> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math> <math><mrow><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><mtext></mtext><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><mtext></mtext><mfrac><mrow></mrow><mrow></mrow></mfrac><mfrac><mrow></mrow><mrow></mrow></mfrac></mrow></math>(3) <math> <mrow> <mi>B</mi> <msub> <mrow> <mi>e</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mtext> </mtext> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>1</mn> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msubsup> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>1</mn> <mi>s</mi> </mrow> <mrow> <mo>*</mo> <mn>2</mn> </mrow> </msubsup> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>2</mn> <mi>s</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msubsup> <msubsup> <mrow> <mi>σ</mi> </mrow> <mrow> <mn>2</mn> <mi>s</mi> </mrow> <mrow> <mo>*</mo> <mn>2</mn> </mrow> </msubsup> <mtext> </mtext> <mi>B</mi> <mo>.</mo> <mi>O</mi> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> <mo>−</mo> <mn>4</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mo>=</mo> <mn>0</mn> </mrow> </math> <math><mrow><msub><mrow></mrow><mrow></mrow></msub><mtext></mtext><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><msubsup><mrow></mrow><mrow></mrow><mrow></mrow></msubsup><mtext></mtext><mfrac><mrow></mrow><mrow></mrow></mfrac></mrow></math>So Be2 does not exits

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