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Question

Explain effective nuclear charge

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Solution

Effective nuclear charge – The attractive positive charge of nuclear protons acting on valence electrons.

  1. The effective nuclear charge is always less than the total number of protons present in a nucleus due to the shielding effect.
  2. Effective nuclear charge is behind all other periodic table tendencies.

The effective nuclear charge may be approximated by the equation:

Zeff = Z - S

Where Z is the atomic number and S is the number of shielding electrons.
Trends

The periodic table tendency for effective nuclear charge:

  1. Increase across a period (due to increasing nuclear charge with no accompanying increase in shielding effect).
  2. Decrease down a group (although nuclear charge increases down a group, shielding effect more than counters its effect).

Examples:

Li(3) - 1s22s1

  • A 2s lithium can have 2 electrons, 1s electrons between itself and the lithium nucleus. So, these 1s electrons shield 2s electrons from the nucleus.
  • Measurements indicate the effective nuclear charge experienced by a 2s lithium electron is 0.43 times the charge of the lithium nucleus.

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