Respuesta :
Zeff is a good nuclear charge and is calculated by the formula:
Zeff = Z - S
Z refers to the quantity of protons and S is that the Slater constant.
Further Explanation
Cations have 11 protons, the quantity of core electrons in sodium-ion is 2.
If the core electron accounts for 1.00 and also the negatron accounts for 0.00 then S = 2 for both ions.
Therefore, for Na⁺, Zeff = 11 - 2 = 9
The F⁻ ion has 9 protons, the quantity of core electrons within the F⁻ ion is 2. Therefore, for F⁻: Zeff = 9 - 2 = 7
Therefore, Zeff for Na⁺ and F⁻ are 9 and seven, respectively.
On the premise of Slater's rule, for s and p orbitals, electrons within the same shell contribute 0.35 and electrons within the n-1 shell contribute 0.85.
S = (0.85 × 2) + (0.35 × 7)
= 4.15
Therefore, per Slater's rules,
For Na⁺, Zeff = 11 - 4.15 = 6.85
For F⁻, Zeff = 9 - 4.15 = 4.85
Thus, Zeff for Na⁺ and F⁻ calculated per Slater's rules is 6.85 and 4.85, respectively.
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Details
Grade: College
Subject: Chemistry
Keyword: Zeff, cations, core
Na^+ is smaller than F^- ion.
The electron configuration of Na^+ is; 1s2 2s2 2p6
The electron configuration of F^- is; 1s2 2s2 2p6
We know from Slater's rule that; Zeff = Z - S
To calculate the screening (S);
The electrons in the same ns np shell contribute 0.35
The electrons in the next (n - 1) shell contribute 0.85
The electrons in the lower (n - 2) shells contribute 1.00
For an outermost electron in Na^+;
S = 7(0.35) + 2(0.85)
S = 2.45 + 1.7
S = 4.15
For an outermost electron in F^-
S = = 7(0.35) + 2(0.85)
S = 2.45 + 1.7
S = 4.15
We know that;
Z = 11 for Na^+
Z = 9 for F^-
Hence
Zeff for Na^+ = 11 - 4.15 = 6.85
Zeff for F^- = 9 - 4.15 = 4.85
Note that the smaller the value of Zeff the larger the ion hence the F^- is larger than Na^+ ion. So Na^+ is smaller than F^-.
Learn more: https://brainly.com/question/6505878