5.17: Hund's Rule and Orbital Filling Diagrams
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5.17: Hund's Rule and Orbital Filling Diagrams
This page explains Hund's rule, emphasizing the need for single occupancy of degenerate orbitals before pairing to reduce repulsion among electrons. It introduces orbital filling diagrams that depict …
Jun 23, 2016
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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
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
shaalaa.com
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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
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
numerade.com
Jul 29, 2021
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