Why doesn;t Carbon show deviation from electron configuration

[Azer2]

We all know that carbon shows the configuration 1s2- 2s2- 2p2
But, since half-filled and fully filled orbitals are more stable, why doesn't it show the configuration 1s2- 2s1- 2p3 ?
Why doesn't the 2s orbital give 1 electron to 2p, as in the case of Chromium, where one electron goes from 3d to 4s, in order to make both orbitals half-filled(and hence more stable)?

Thanks in advance!

 

[Mike H]

Think about the energy differences between the 2s and 2p orbitals, and then think about it for the 4s and 3d orbitals. You should see that there is a difference when trying to compare carbon and chromium.

If you need further elaboration, I'd check out the following explanation:

http://www.mikeblaber.org/oldwine/chm1045/notes/Struct/EConfig/Struct08.htm