Why p - orbital has a doublet in XPS Spectra - X-rays Photoelectrons Spectroscopy

Why p - orbital has a doublet in XPS Spectra - X-rays Photoelectrons Spectroscopy

XPS Spectrum Analysis and Quantum Numbers

Understanding Peaks in XPS Spectrum

  • The X-ray Photoelectron Spectroscopy (XPS) spectrum shows that S orbitals produce a single peak, while P orbitals generate double peaks. This phenomenon is referred to as "douet" or spin-orbit coupling, also known as JJ coupling.
  • In the context of quantum numbers, 'n' denotes the principal quantum number, 'l' represents the orbital quantum number, and 'g' indicates total momentum derived from both orbital and spin angular momentum.
  • The discussion emphasizes that the focus is not solely on orbital characteristics but also includes the spin quantum number, which can take values of +1/2 or -1/2.
  • The transcript illustrates how one peak corresponds to a specific configuration from pital (likely referring to a type of P orbital), while another peak arises from peral configurations.

This structured approach provides clarity on key concepts related to XPS spectra and their interpretation through quantum mechanics principles.

Video description

Why p, d, and f orbitals have double peaks in XPS Spectra? These double peaks are called Multiplet splitting or Doublet or spin-orbit splitting One line answer is when there is *unfilled shells* containing *unpaired electrons*. For example, Mn²⁺= 1s²2s²2p⁶3s²3p⁶3d⁵4s² (where in 3d⁵, all five electrons are unpaired and with parallel spins, here we get doublet for 5d orbital like Mn 3d3/2 & Mn 3d5/2) Let's explain it in detail If the orbital angular momentum (𝑙) = 0, we get single XPS peaks like for s- orbitals such as 1S, 2S, 3S, 4S..... If 𝑙 greater than 0, a doublet XPS peak, which means 𝑙 =1, p-orbitals, 𝑙 =2, d-orbitals, 𝑙 =3, f-orbitals 𝑥n𝑙j nomenclature for XPS doublet peaks like (Zn 2p1/2 & Zn 2p3/2), (Ag 3d3/2 & Ag3d5/2), (Pb 4f5/2 & Pb 4f7/2) 𝑥 – represents elements such as Co, Fe, Ti, Zn, Cu, Y, Mn,..... n : principle quantum number, 1,2,3,4.... 𝑙 : orbit angular momentum quantum number j : total angular momentum quantum number; j = 𝑙 ± s (where s =±1/2 is spin angular momentum) ________________________________ For p-orbital: For p-orbital, 𝑙 =1, n = 2, then j = 𝑙 + s = 1+1/2 = 3/2 ( 2p3/2) j = 𝑙 -s = 1-1/2 = 1/2 (2p1/2) ______________________________ For d-orbital: For d-orbital, 𝑙 =2, n = 3, then j = 𝑙 + s = 2+1/2 = 5/2 ( 3d5/2) j = 𝑙 -s = 2-1/2 = 3/2 (3d3/2) ________________________________ For f-orbital: For f-orbital, 𝑙 =3, n = 4, then j = 𝑙 + s = 3+1/2 = 7/2 ( 4f7/2) j = 𝑙 -s = 2-1/2 = 3/2 (4f5/2) Source: Handbook of X-ray Photoelectron Spectroscopy by John F. Moulder