Chapter 5, Problem 30P

Photoelectron spectroscopy studies of silicon atoms excited by X-rays with wavelength $\text{9}.\text{89}0\times \text{1}{0}^{-\text{1}0}\text{m}$ show four peaks in which the electrons have speeds $\text{2}.0\text{97}\times \text{1}{0}^{\text{7}}{\text{m s}}^{-\text{1}},\text{ 2}.0\text{93}\times \text{1}{0}^{\text{7}}{\text{m s}}^{-\text{1}},\text{ 2}.0\text{14}\times \text{1}{0}^{\text{7}}{\text{m s}}^{-\text{1}},$ and $\text{1}.\text{971}\times \text{1}0{\text{7 m s}}^{-\text{1}}$ . (Recall that $\text{1 J}={\text{1 kg m}}^{\text{2}}{\text{s}}^{-\text{2}}$ .)

(a) Calculate the ionization energy of the electrons in each peak.

(b) Assign each peak to an orbital of the silicon atom.