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Ch.7 - Periodic Properties of the Elements
Chapter 7, Problem 18

Arrange the following atoms in order of increasing effective nuclear charge experienced by the electrons in the n = 2 shell: Be, Br, Na, P, Se.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Effective Nuclear Charge (Z_eff)

Effective nuclear charge (Z_eff) is the net positive charge experienced by an electron in an atom, accounting for both the total nuclear charge and the shielding effect of other electrons. It can be calculated using the formula Z_eff = Z - S, where Z is the atomic number and S is the shielding constant. Higher Z_eff values indicate a stronger attraction between the nucleus and the electrons, influencing atomic size and ionization energy.
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Shielding Effect

The shielding effect occurs when 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, leading to variations in atomic properties such as size and reactivity across the periodic table.
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Trends in the Periodic Table

Periodic trends refer to predictable patterns in elemental properties as one moves across a period or down a group in the periodic table. For instance, effective nuclear charge generally increases across a period due to increasing atomic number and constant shielding, while it decreases down a group due to increased shielding from additional electron shells. Understanding these trends is essential for predicting the behavior of elements, including their effective nuclear charge.
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Related Practice
Textbook Question

Detailed calculations show that the value of Zeff for the outermost electrons in Na and K atoms is 2.51+ and 3.49+, respectively. (e) Predict Zeff for the outermost electrons in the Rb atom based on the calculations for Na and K.

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Textbook Question

Detailed calculations show that the value of Zeff for the outermost electrons in Si and Cl atoms is 4.29+ and 6.12+, respectively. (a) What value do you estimate for Zeff experienced by the outermost electron in both Si and Cl by assuming core electrons contribute 1.00 and valence electrons contribute 0.00 to the screening constant?

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Textbook Question
Which will experience the greater effect nuclear charge, the electrons in the n = 2 shell in F or the n = 2 shell in B? Which will be closer to the nucleus?
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Textbook Question
Which quantity must be determined experimentally in order to determine the bonding atomic radius of an atom? (a) The distance from the nucleus where the probability of finding an electron goes to zero. (b) The distance between the nuclei of two atoms that are bonded together. (c) The effective nuclear charge of an atom.
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Textbook Question

With the exception of helium, the noble gases condense to form solids when they are cooled sufficiently. At temperatures below 83 K, argon forms a close-packed solid whose structure is shown below. (b) Is this value larger or smaller than the bonding atomic radius estimated for argon in Figure 7.7?

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Textbook Question

With the exception of helium, the noble gases condense to form solids when they are cooled sufficiently. At temperatures below 83 K, argon forms a close-packed solid whose structure is shown below. (c) Based on this comparison would you say that the atoms are held together by chemical bonds in solid argon?

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