s, p, d, f  Lifetimes from FWHMs (Peak-widths)

 

4s, 4p, 4d, 4f   FWHMs from PbCO3

 

hole lifetimes

Γs  <  Γp  < Γd  < Γf    

Γ = core-hole lifetime

Γ  =  Γ x-ray + Γ Auger + Γ Coster-Kronig

 

 

 

Peak FWHM

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.

 

 

 

Hole Lifetime 

 

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

 

for PbCO3
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
• lifetime-dependent
• temperature-dependent
• Lorentzian-shape
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.