Organic chemistry

The first term tell us about the kinetic energy of the electrons and the potential energy produced by interaction between nucleus and the electrons and the second terms show the Coulomb repulsive between the electrons this Hamiltonian ignore some several effect, they are :
1. The magnetic interactions of the electronic spins with their orbital motion
2. Several effect such as spin-spin interactions between electrons, various relativistic effect, radiative corrections, and nuclear corrections

All of the explaining above can be applied for karbon because carbon have more than one electron (six electrons). All we need is just substitute N = 6 and replace Z with 6 in the equations above.