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accoding to molecular orbital theory O2 has paramagntetic nature .VBT and VESPER theory are failed to explain paramagnetic nature of O2.
You Already Got The Answer Of O2 .
So, I am just providing you the answer of C2
Carbon Normally Made or it is well known to form Single, Double,Triple C-C bond .
As per VBT --- According to the recent theory the carbon forms Quadraple bond (4-bond in between two carbon ) just to satisfy the octet rule for carbon.
Like :
Where Along with 1-Sigma and 2-Pi bond , One weak "inverted" bond is also there as shown in picture which is basically made by the interaction of electrons in two outwardly pointing sp-Hybrd Orbitals.
As Per Molecular Orbital Theory (MOT) --- shows that there are two sets of paired electrons in a degenerate pi bonding set of orbitals. This gives a bond order of 2, meaning that there should exist a double bond between the two carbons in a C2 molecule.
In C2 there are 2∏ bonnds and in O2 there is only one ∏ bond and one sigma bond. U can understand this by
c2= σ1S2 σ*1S2 σ2S2 σ*2S2 ∏2px2 ∏py2 it is diamagnetic.
o2=σ1s2 σ*1s2 σ2s2 σ*2s2 ∏2Px2=2∏py2
it is paramagnetic in nature.
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