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Ch.7 - Periodic Properties of the Elements
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 7, Problema 18

Arrange the following atoms in order of increasing effective nuclear charge experienced by the electrons in the 𝑛=3 electron shell: K, Mg, P, Rh, Ti.

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Understand the concept of effective nuclear charge (Z_eff), which is the net positive charge experienced by an electron in a multi-electron atom. It is calculated as Z_eff = Z - S, where Z is the atomic number and S is the shielding constant.
Identify the atomic numbers (Z) for each element: K (Z=19), Mg (Z=12), P (Z=15), Rh (Z=45), Ti (Z=22).
Consider the electron configuration of each element to determine the number of electrons in inner shells that contribute to shielding.
Recognize that electrons in the same shell (n=3) do not shield each other effectively, so focus on inner shell electrons for shielding.
Arrange the elements in order of increasing Z_eff by considering both the atomic number and the extent of shielding by inner electrons.

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Effective Nuclear Charge (Z_eff)

Effective nuclear charge is the net positive charge experienced by an electron in a multi-electron atom. It accounts for the actual nuclear charge (the number of protons) and the shielding effect caused by inner-shell electrons. The greater the effective nuclear charge, the stronger the attraction between the nucleus and the outer electrons, influencing atomic size and ionization energy.
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Effective Nuclear Charge

Shielding Effect

The shielding effect refers to the phenomenon where inner-shell electrons partially block the attraction between the nucleus and the outer-shell electrons. This results in a lower effective nuclear charge felt by the outer electrons. As the number of inner electrons increases, the shielding effect becomes more significant, reducing the effective nuclear charge experienced by the outermost electrons.
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Photoelectric Effect

Trends in the Periodic Table

Trends in the periodic table, such as atomic size, ionization energy, and effective nuclear charge, are influenced by the arrangement of elements. As you move across a period from left to right, the effective nuclear charge generally increases due to the addition of protons without a corresponding increase in shielding. Conversely, moving down a group increases the number of electron shells, which enhances shielding and can decrease the effective nuclear charge felt by outer electrons.
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Periodic Trends
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