# What are the molecular orbital configurations for #N_2^+#, #N_2 ^(2+)#, #N_2#, #N_2^-#, and #N_2^(2-)#?

##### 1 Answer

If we build the MO diagram for

First though, notice that the ** supposed** to be

**degenerate**. They weren't drawn that way on this diagram, but they should be. Anyways, for the electron configurations, you would use a notation like the above.

g means "**gerade**", or even symmetry upon inversion, and u means "**ungerade**", or odd symmetry upon inversion. It's not crucial that you memorize which ones are gerade and which ones are ungerade, because the *also* antibonding, for example.

That is why I will use the easier notation to understand---the

If we write the configurations, they look like this:

#["core 1"s]^2(1sigma_(g))^2(1sigma_(u))^2(pi_u^x)^2(pi_u^y)^2 (2sigma_(g))^2color(red)((pi_g^x)^0(pi_g^y)^0(2sigma_u)^0)#

or

#["core 1"s]^2(sigma_"2s")^2(sigma_"2s"^"*")^2(pi_"2px")^2(pi_"2py")^2 (sigma_"2pz")^2color(red)((pi_"2px"^"*")^0(pi_"2py"^"*")^0(sigma_"2pz"^"*")^0)#

The red labels indicate that they are empty for neutral

Then if you want to do it for the ions, you just take out or add in electrons to the red-labeled configuration portions. Again, I will use the

#["core 1"s]^2(sigma_"2s")^2(sigma_"2s"^"*")^2(pi_"2px")^2(pi_"2py")^2 (sigma_"2pz")^1color(red)((pi_"2px"^"*")^0(pi_"2py"^"*")^0(sigma_"2pz"^"*")^0)#

#["core 1"s]^2(sigma_"2s")^2(sigma_"2s"^"*")^2(pi_"2px")^2(pi_"2py")^2 color(red)((sigma_"2pz")^0(pi_"2px"^"*")^0(pi_"2py"^"*")^0(sigma_"2pz"^"*")^0)#

#["core 1"s]^2(sigma_"2s")^2(sigma_"2s"^"*")^2(pi_"2px")^2(pi_"2py")^2 (sigma_"2pz")^2(pi_"2px"^"*")^1color(red)((pi_"2py"^"*")^0(sigma_"2pz"^"*")^0)#

#["core 1"s]^2(sigma_"2s")^2(sigma_"2s"^"*")^2(pi_"2px")^2(pi_"2py")^2 (sigma_"2pz")^2(pi_"2px"^"*")^1(pi_"2py"^"*")^1color(red)((sigma_"2pz"^"*")^0)#