How does the bond length varies in dicarbon species
`C_(2),C_(2)^(-),C_(2)^(2-)`

Explanation

To determine how the bond length varies in the dicarbon species \(C_2\), \(C_2^-\), and \(C_2^{2-}\), we can follow these steps:

### Step 1: Determine the number of electrons in each species
- For \(C_2\): Each carbon atom has 6 electrons, so for two carbon atoms, the total is \(6 + 6 = 12\) electrons.
- For \(C_2^-\): This species has one additional electron, giving us \(12 + 1 = 13\) electrons.
- For \(C_2^{2-}\): This species has two additional electrons, giving us \(12 + 2 = 14\) electrons.

### Step 2: Calculate the bond order for each species
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