Question

why total orbitals are 6 ?? and please answer the number of orbitals of self test 9c.3

No Brief illustration 90.3 Spin-orbit coupiny The unpaired electron in the ground state of an alkali metal atom has l=0, so j=1. Because the orbital angular momen- tum is zero in this state, the spin-orbit coupling energy is zero (as is confirmed by settingj=s and 1=0 in eqn 9C.4). When the electron is excited to an orbital with I=1, it has orbital angular momentum and can give rise to a magnetic field that interacts with its spin. In this configuration the electron can have j= or j=2, and the energies of these levels are E1,12,312 = {hcÃ{x{-1x2-{x}={h. E,12,12 = {hcĀ{{x}-1x2-x}}=-hcĀ The corresponding energies are shown in Fig. 9C.6. Note that the barycentre (the centre of gravity') of the levels is +hcĀ Holal Energy States Figure 9C.6 The levels of a 2P term arising from spin-orbit coupling. Note that the low-i level lies below the high-level in energy.

Answer 1

NUMBER OF ORBITALS d¹  configuration = 2(l) +1 = 2(2) +1 = 5 , but for the consideration of bonding & anti-bonding orbital d-configuration should have 10 orbitals.

As you have asked p²  configuration have = 2(l)+1 = 2(1)+1 = 3 ,but for consideration of bonding & anti-bonding orbitals it would have 6 orbitals.