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What is the bond order of Cl2+?00.511.52

Question

What is the bond order of Cl2+?00.511.52

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Solution

The bond order of a molecule can be determined using Molecular Orbital Theory. Here are the steps to find the bond order of Cl2+:

  1. Determine the total number of valence electrons. Chlorine (Cl) has 7 valence electrons, but since we have Cl2+ (a cation), it means one electron has been removed. So, total valence electrons = 7 (from one Cl) + 7 (from the other Cl) - 1 (for the + charge) = 13 electrons.

  2. Draw the molecular orbital diagram. For diatomic molecules like Cl2, the molecular orbital diagram is relatively simple. The order of energy levels from lowest to highest is: sigma(2s), sigma*(2s), sigma(2p), pi(2p), pi*(2p), sigma*(2p).

  3. Fill the molecular orbitals with the 13 electrons. Each orbital can hold a maximum of 2 electrons. The filling order is from lowest energy to highest. So, the filling order will be: sigma(2s) - 2 electrons, sigma*(2s) - 2 electrons, sigma(2p) - 2 electrons, pi(2p) - 4 electrons (2 in each of the two degenerate pi orbitals), pi*(2p) - 3 electrons (2 in one orbital and 1 in the other).

  4. Calculate the bond order. The bond order is calculated as: (number of electrons in bonding orbitals - number of electrons in antibonding orbitals) / 2. In this case, the bonding orbitals (sigma(2s), sigma(2p), pi(2p)) have 8 electrons and the antibonding orbitals (sigma*(2s), pi*(2p)) have 5 electrons. So, bond order = (8 - 5) / 2 = 1.5.

So, the bond order of Cl2+ is 1.5.

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