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Solved: Detailed calculations show that the value of Zeff
Chapter , Problem 7.16(choose chapter or problem)
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? (b) What values do you estimate for Zeff using Slaters rules? (c) Which approach gives a more accurate estimate of Zeff? (d) Which method of approximation more accurately accounts for the steady increase in Zeff that occurs upon moving left to right across a period? (e) Predict Zeff for a valence electron in P, phosphorus, based on the calculations for Si and Cl.
Questions & Answers
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? (b) What values do you estimate for Zeff using Slaters rules? (c) Which approach gives a more accurate estimate of Zeff? (d) Which method of approximation more accurately accounts for the steady increase in Zeff that occurs upon moving left to right across a period? (e) Predict Zeff for a valence electron in P, phosphorus, based on the calculations for Si and Cl.
ANSWER:Problem 7.16Detailed calculations show that the value of Z efffor the outermost electrons in Si and Cl atoms is4.29+ and 6.12+, respectively. (a) What value do you estimate for Z eff experienced by theoutermost electron in both Si and Cl by assuming core electrons contribute 1.00 and valenceelectrons contribute 0.00 to the screening constant (b) What values do you estimate for Zeffusing Slater's rules (c) Which approach gives a more accurate estimate of Z (d) Which effmethod of approximation more accurately accounts for the steady increase in Z effthat occursupon moving left to right across a period (e) Predict Z for a valence electron in P, effphosphorus, based on the calculations for Si and Cl. Step-by-step solution Step 1 of 10 ^(a) Given that Z for the outermost electrons is Si and Cl atoms obtained from detailed effcalculations are 4.29+ and 6.12+. We are asked to calculate Z effexperience by the outermostelectrons in both Si and Cl by assuming core electrons contribute 1.00 and valence electronscontribute 0.00 to the screening constant.The electron configuration of Si (14): 1s 2s 2p 3s 3p 2There are 10 core electrons and four valence electrons for Si.Screening constant:S = 10 x 1.00 = 10.00Effective nuclear charge:ZeffZ - S = 14 - 10.00 = 4