A d subshell contains five orbitals and two spin states per orbital, for ten spin-orbitals. Place two indistinguishable electrons in distinct spin-orbitals: $\binom{10}{2}=10(9)/2=45$ microstates. These include all allowed spin and orbital combinations before grouping them into terms.
More Spectroscopy: Atomic spectroscopy; Russell-Saunders coupling; Term symbols and spectral details; origin of selection rules. Rotational, Vibrational, Electronic and Raman spectroscopy of diatomic and simple polyatomic molecules. Line broadening and line widths; simple properties of Gaussian and Lorentzian line shapes. Molecular spectroscopy: Absorbance, Beer- Lambert’s law, Einstein’s coefficient, Jablonski diagram. Relationship of transition moment integral with molar extinction coefficient and oscillator strength. Basic principles of Nuclear Magnetic Resonance: Gyromagnetic ratio; Chemical shift, nuclear coupling. questions
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