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Ch.7 - Periodic Properties of the Elements
Chapter 7, Problem 17

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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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 refers to the net positive charge experienced by an electron in an atom. It accounts for the actual nuclear charge (the number of protons) and the shielding effect of inner-shell electrons. In general, as the effective nuclear charge increases, electrons are pulled closer to the nucleus, affecting their energy levels and stability.
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Effective Nuclear Charge

Electron Shells and Energy Levels

Electron shells are defined energy levels where electrons reside around the nucleus of an atom. The principal quantum number (n) indicates the shell's energy level, with lower numbers corresponding to shells closer to the nucleus. Electrons in lower energy levels experience a stronger attraction to the nucleus, influencing their stability and reactivity.
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Number of Electrons in Shells

Comparison of Atomic Structure in Elements

When comparing elements like fluorine (F) and boron (B), it's essential to consider their atomic structure, including the number of protons and electron configurations. Fluorine has a higher atomic number than boron, resulting in a greater effective nuclear charge for its electrons. This difference affects the distance of the n = 2 electrons from the nucleus, with fluorine's electrons being closer due to the stronger nuclear attraction.
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Related Practice
Textbook Question

Which of the following statements about effective nuclear charge for the outermost valence electron of an atom is incorrect? (i) The effective nuclear charge can be thought of as the true nuclear charge minus a screening constant due to the other electrons in the atom. (ii) Effective nuclear charge increases going left to right across a row of the periodic table. (iii) Valence electrons screen the nuclear charge more effectively than do core electrons. (iv) The effective nuclear charge shows a sudden decrease when we go from the end of one row to the beginning of the next row of the periodic table. (v) The change in effective nuclear charge going down a column of the periodic table is generally less than that going across a row of the periodic table

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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
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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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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