Ch.7 - Periodic Properties of the Elements

Brown - Chemistry: The Central Science 14th Edition

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Brown 14th Edition

Ch.7 - Periodic Properties of the Elements

Problema 31b

Capitolo 7, Problema 31b

Consider the isoelectronic ions F- and Na+. (b) Using Equation 7.1 and assuming that core electrons contribute 1.00 and valence electrons contribute 0.00 to the screening constant, S, calculate Zeff for the 2p electrons in both ions.

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Identify the isoelectronic ions: F^- and Na^+ both have the same number of electrons, which is 10.

Determine the atomic numbers: Fluorine (F) has an atomic number of 9, and Sodium (Na) has an atomic number of 11.

Use the formula for effective nuclear charge, Z_{eff} = Z - S, where Z is the atomic number and S is the screening constant.

Calculate the screening constant, S, for each ion. Since core electrons contribute 1.00 and valence electrons contribute 0.00, identify the core and valence electrons for each ion. For both ions, the core electrons are the 1s^2 electrons, contributing 2.00 to S.

Substitute the values into the Z_{eff} formula for each ion: For F^-, Z_{eff} = 9 - 2.00; for Na^+, Z_{eff} = 11 - 2.00.

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Isoelectronic Species

Isoelectronic species are atoms or ions that have the same number of electrons and, therefore, the same electronic configuration. In this case, F- and Na+ both have 10 electrons, making them isoelectronic. Understanding this concept is crucial for comparing their effective nuclear charges (Zeff) since they experience similar electron-electron interactions despite differing nuclear charges.

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Amphoteric Species

Effective Nuclear Charge (Zeff)

Effective nuclear charge (Zeff) is the net positive charge experienced by an electron in a multi-electron atom. It accounts for the actual nuclear charge minus the shielding effect of other electrons. Calculating Zeff helps in understanding how strongly the nucleus attracts its electrons, which is essential for predicting chemical behavior and properties of ions like F- and Na+.

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Effective Nuclear Charge

Screening Constant (S)

The screening constant (S) quantifies the extent to which inner electrons shield outer electrons from the full effect of the nuclear charge. In the context of the question, core electrons contribute a value of 1.00 to S, while valence electrons contribute 0.00. This distinction is important for accurately calculating Zeff for the 2p electrons in the ions, as it directly influences the perceived nuclear charge experienced by these electrons.

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01:14

Equilibrium Constant K

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