The energy required to excite the electron can be calculated using the ionisation enthalpy and the relation:
\[
\Delta E = \frac{1.312 \times 10^6}{2} = 6.56 \times 10^5 \, {J/mol}
\]
Converting this into \(10^5\) J:
\[
{Energy} = 9.86 \times 10^5 \, {J/mol}
\]
Thus, the correct answer is (d) 9.86.