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The Molecular orbitals form by the atomic orbitals of atoms are joined and create the creation of bonding orbitals as well as antibonding orbitals. They are connected to the whole molecules and delocalization of electron densities occurs on more than one.
The number that indicates how many bonds are between two atoms is called bond order. The bond strength of a molecule is described by its bond order.
If the bond order for a molecule is higher, then the bond strength will also be higher.
[katex]{\rm{Bond Order}} \propto {\rm{Bond}}\,{\rm{strength}}[/katex]
Calculation of bond orders:
[katex]\begin{array}{l}\\{\rm{B}}{\rm{.O}}\,{\rm{ = }}\frac{{\,{\rm{1}}}}{{\rm{2}}}{\rm{(B}}{\rm{.E – A}}{\rm{.B}}{\rm{.E)}}\\\\{\rm{Where,}}\\\\{\rm{B}}{\rm{.O}}\,{\rm{ = }}\,{\rm{Bond}}\,{\rm{order}}{\rm{.}}\\\\{\rm{B}}{\rm{.E}}\,{\rm{ = }}\,{\rm{Bonding}}\,{\rm{electrons}}{\rm{.}}\\\\{\rm{A}}{\rm{.B}}{\rm{.E}}\,{\rm{ = }}\,{\rm{Anti – bonding}}\,{\rm{electrons}}{\rm{.}}\\\end{array}[/katex]
Below is the general molecular orbital chart.
The given molecule is [katex]{\rm{H}}{{\rm{e}}_{\rm{2}}}[/katex].
Diagram of the molecule’s orbital structure (equa_tag_2)
The given molecule is [katex]{\rm{H}}{{\rm{e}}_{\rm{2}}}[/katex].
The number of bonding electrons found in [katex]{\rm{H}}{{\rm{e}}_{\rm{2}}}[/katex]
The number of antibonding electrons in [katex]{\rm{H}}{{\rm{e}}_{\rm{2}}}[/katex]
Now,
[katex]\begin{array}{l}\\{\rm{B}}{\rm{.O}}\,{\rm{ = }}\,\,\frac{{\,{\rm{1}}}}{{\rm{2}}}{\rm{(B}}{\rm{.E – A}}{\rm{.B}}{\rm{.E)}}\,\\\\\,\,\,\,\,\,\,\,\,{\rm{ = }}\,\,\frac{{\,{\rm{1}}}}{{\rm{2}}}{\rm{(2 – 2)}}\\\\\,\,\,\,\,\,\,\,{\rm{ = }}\,\,\frac{{\,{\rm{1}}}}{{\rm{2}}}{\rm{(0)}}\\\\\,\,\,\,\,\,\,\,{\rm{ = }}\,\,{\rm{0}}\\\end{array}[/katex]
The bond order for given molecules [katex]{\rm{H}}{{\rm{e}}_{\rm{2}}}[/katex]
Ans is:
Below are the details of bond order and molecular orbitals.