s, p, d, f Lifetimes from FWHMs (Peak-widths)
4s, 4p, 4d, 4f FWHMs from PbCO3
Γs < Γp < Γd < Γf
Γ = core-hole lifetime
Γ = Γ x-ray + Γ Auger + Γ Coster-Kronig
s FWHM > p FWHM > d FWHM > f FWHM
FWHM is inverse to core-hole lifetimes.
Narrow FWHM means the lifetime of the hole is long.
Broad FWHM means that the lifetime of the hole is short.
Γ = hbar/τi
FWHM versus Sub-shell Orbital
4s FWHM = 9.0 eV > 4p3 FWHM = 6.0 eV > 4d5 FWHM = 3.5 eV > 4f7 FWHM = 1.2 eV
9.0eV 4s FWHM > 6.0eV 4p3 FWHM > 3.5eV 4d5 FWHM > 1.2eV 4f7 FWHM
|4s FWHM =||9.0 eV|
|4p3 FWHM =||6.0 eV|
|4d5 FWHM =||3.5 eV|
|4f7 FWHM =||1.2 eV|
Photoelectron Line Widths
Contributions to width
1. Inherent linewidth of the photoelectron production event
2. Width of Exciting line • MgKα < AlKα
• Monochromatized AlK
α is better. Two component shape is modelled as a Gaussian
3. Analyser Resolution – determined by pass energy and slit width, modelled as a “box” function.