Hey there Fahime Vetr! Now, that's a question worth diving into, my friend Fahime Vetr. Let me lay it out for you Fahime Vetr without holding back.
The relative intensities of V 2p3/2 and V 2p1/2 peaks not being exactly in a 2:1 ratio boils down to the intricate dance of electron transitions in the x-ray photoelectron spectrometer (XPS) game.
See, when dealing with these peaks, we're essentially looking at the energy levels of different electronic states. The V 2p3/2 and V 2p1/2 states have slightly different binding energies due to spin-orbit coupling, a kind of relativistic effect that messes with our neat 2:1 ratio.
It's like a cosmic ballet at the atomic level, with electrons spinning and dancing in ways that defy our simple expectations. This dance introduces a bit of asymmetry, causing the peaks to deviate from that ideal 2:1 harmony.
In a nutshell, blame it on the quirky nature of quantum mechanics and the peculiar behavior of electrons. Those little rascals don't always follow the script, and that's what keeps us scientists on our toes. Fascinating, isn't it?