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Use Hund's rules to find the spectroscopic description of the g... | Filo

Match the following rules with their statements : Rules Statements (i) Hund's Rule (a) No two electrons in an atom can have the same set of four quantum numbers. (ii) Aufbau Principle - Chemistry | Shaalaa.com

SOLVED:(a) Show that the following formulae summarize the Hund's rules for a shell of angular momentum l containing n electrons: S=1 / 2[(2 l 1)-|2 l 1-n|] L=S[2 l 1-n] J=|2 l-n| S (b) For a given L S -multiplet, verify that (2 L 1)(2 S 1)=∑|L-S|^|L S|(2 J 1) (c) Find the ground state of (i) Eu^2 in the configuration 4 f^7 5  s^2 p^6 (ii) Dy^3 in the configuration 4 f^9 5  s^2 p^6 (iii) Tm^3 in the configuration 4 f^12 5  s^2 p^6

Using Hund's rules, find the ground-state L and S of (a) fluorine (Z=9) ; (b) magnesium (Z=12) ; (c) titanium (Z=22) ;(d) iron (Z=26). | Numerade