Theoretical Chemistry

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Effective Nuclear Charge

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Theoretical Chemistry

Definition

Effective nuclear charge (Z_eff) is the net positive charge experienced by an electron in a multi-electron atom, accounting for both the attraction from the nucleus and the repulsion from other electrons. This concept is crucial for understanding electron configurations, as it helps explain trends in atomic size, ionization energy, and electronegativity across the periodic table.

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5 Must Know Facts For Your Next Test

  1. Effective nuclear charge increases as you move across a period on the periodic table because protons are added to the nucleus without a corresponding increase in shielding from inner electrons.
  2. In multi-electron atoms, effective nuclear charge is typically less than the actual nuclear charge due to the shielding effect of inner-shell electrons.
  3. The formula for calculating effective nuclear charge is Z_eff = Z - S, where Z is the atomic number and S is the shielding constant.
  4. As effective nuclear charge increases, atoms tend to become smaller because the greater attraction pulls the outer electrons closer to the nucleus.
  5. Effective nuclear charge plays a critical role in determining trends in chemical reactivity, as it influences how tightly electrons are held by the nucleus.

Review Questions

  • How does effective nuclear charge influence atomic radius across a period in the periodic table?
    • As you move across a period in the periodic table, effective nuclear charge increases because more protons are added to the nucleus while electrons are added to the same energy level. This increased positive charge attracts outer electrons more strongly, resulting in a decrease in atomic radius. Therefore, atoms become smaller due to the stronger attraction between the nucleus and its electrons.
  • Discuss the relationship between effective nuclear charge and ionization energy in multi-electron atoms.
    • Effective nuclear charge has a significant impact on ionization energy in multi-electron atoms. As effective nuclear charge increases, outer electrons are held more tightly by the nucleus, making it more difficult to remove an electron. This results in higher ionization energies for elements with higher effective nuclear charges, leading to clear trends observed within groups and periods of the periodic table.
  • Evaluate how understanding effective nuclear charge can help predict chemical behavior and bonding characteristics of elements.
    • Understanding effective nuclear charge is essential for predicting chemical behavior and bonding characteristics because it explains how tightly electrons are held by the nucleus. A higher effective nuclear charge generally leads to stronger attractions between electrons and protons, affecting how easily an atom can gain or lose electrons during reactions. This knowledge allows for better predictions regarding reactivity patterns, electronegativity differences, and bond formation tendencies among different elements.
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