Depict the electron configuration for magnesium ing an orbital box diagram and noble gas notation

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13. Depict the electron configuration for magnesium ing an orbital box diagram and noble gas notation. Give a complete set of four quantum numbers for each of the electrons beyond those of the preceding noble gas US-ir growth in poisonous. ce of the electron ments, and a town in resistant ial appli- gh zirco- th. and in world. re im- ron aird corro- may be tum numbers? In some “none.” In such cases, explain why “none” is the correct answer. (a) n = 3 (b) n = 3 and l = 2 (c) n = 4, l = 1, me = -1, and mâ‚‚ = (d) n = 5, l = 0, me = -1, ms = + ½ +½ an. 13. Depict the electron configuration for magnesium ing an orbital box diagram and noble gas notation. Give a complete set of four quantum numbers for each of the electrons beyond those of the preceding noble gas. 14. Depict the electron configuration for phosphorus us ing an orbital box diagram and noble gas notation. Give one possible set of four quantum numbers for each of the electrons beyond those of the preceding noble gas. 15. Using an orbital box diagram and noble gas nota- tion, show the electron configuration of gallium, Ga. Give a set of quantum numbers for the highest-energy electron. 16. Using an orbital box diagram and noble gas notation, show the electron configuration of titanium. Give one possible set of four quantum numbers for each of the electrons beyond those of the preceding noble gas. gas nota ions. Ar Periodic Prop (See Section Screens 7.7- 23. Arrang size: A at Figu the ne 24. Arr ing si looki up th ho 25. Sele radi (a) 26. S larg (a) 27. Wh CO (a) (b

The Correct Answer and Explanation is :

13. Electron Configuration for Magnesium (Mg)

  1. Electron Configuration:
  • Orbital box diagram:
    1s ↑↓ 2s ↑↓ 2p ↑↓ ↑↓ ↑↓ 3s ↑↓
  • Noble gas notation: [Ne] 3s²
  1. Quantum Numbers Beyond Noble Gas:
  • Electrons beyond the preceding noble gas ([Ne]): 3s²
    • For 3s (1st electron): (n=3), (l=0), (m_l=0), (m_s=+\frac{1}{2})
    • For 3s (2nd electron): (n=3), (l=0), (m_l=0), (m_s=-\frac{1}{2})

14. Electron Configuration for Phosphorus (P)

  1. Electron Configuration:
  • Orbital box diagram:
    1s ↑↓ 2s ↑↓ 2p ↑↓ ↑↓ ↑↓ 3s ↑↓ 3p ↑ ↑ ↑
  • Noble gas notation: [Ne] 3s² 3p³
  1. Quantum Numbers Beyond Noble Gas:
  • Electrons beyond [Ne]: 3s² 3p³
    • 3s (1st electron): (n=3), (l=0), (m_l=0), (m_s=+\frac{1}{2})
    • 3s (2nd electron): (n=3), (l=0), (m_l=0), (m_s=-\frac{1}{2})
    • 3p (1st electron): (n=3), (l=1), (m_l=-1), (m_s=+\frac{1}{2})
    • 3p (2nd electron): (n=3), (l=1), (m_l=0), (m_s=+\frac{1}{2})
    • 3p (3rd electron): (n=3), (l=1), (m_l=+1), (m_s=+\frac{1}{2})

15. Electron Configuration for Gallium (Ga)

  1. Electron Configuration:
  • Orbital box diagram:
    [Ar] 4s ↑↓ 3d ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 4p ↑
  • Noble gas notation: [Ar] 3d¹⁰ 4s² 4p¹
  1. Quantum Numbers for Highest-Energy Electron:
  • 4p¹: (n=4), (l=1), (m_l=-1), (m_s=+\frac{1}{2})

16. Electron Configuration for Titanium (Ti)

  1. Electron Configuration:
  • Orbital box diagram:
    [Ar] 4s ↑↓ 3d ↑ ↑
  • Noble gas notation: [Ar] 3d² 4s²
  1. Quantum Numbers Beyond Noble Gas:
  • 4s²:
    • 4s (1st electron): (n=4), (l=0), (m_l=0), (m_s=+\frac{1}{2})
    • 4s (2nd electron): (n=4), (l=0), (m_l=0), (m_s=-\frac{1}{2})
  • 3d²:
    • 3d (1st electron): (n=3), (l=2), (m_l=-2), (m_s=+\frac{1}{2})
    • 3d (2nd electron): (n=3), (l=2), (m_l=-1), (m_s=+\frac{1}{2})

Answers to Quantum Number Questions

  • (a) (n=3): Valid; quantum number (n) defines the shell and is an integer >0.
  • (b) (n=3), (l=2): Valid; (l=2) corresponds to a d orbital ((0 \leq l < n)).
  • (c) (n=4), (l=1), (m_l=-1), (m_s=): Invalid; (m_s) must be (+\frac{1}{2}) or (-\frac{1}{2}).
  • (d) (n=5), (l=0), (m_l=-1), (m_s=+\frac{1}{2}): Invalid; (m_l) must be 0 when (l=0).

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