Ch.8 - Periodic Properties of the ElementsWorksheetSee all chapters
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Solution: Detailed calculations show that the value of Zeff for the outermost electrons in Na and K atoms is 2.51+ and 3.49+ , respectively.Predict  Zeff for the outermost electrons in the Rb atom based on the

Problem

Detailed calculations show that the value of Zeff for the outermost electrons in Na and K atoms is 2.51+ and 3.49+ , respectively.

Predict  Zeff for the outermost electrons in the Rb atom based on the calculations for Na and K using Slaters rules.

Solution

We’re being asked to predict the effective nuclear charge (Zeff) for the outermost electrons in Rb atom based on the calculations for Na and K using Slaters rules



Recall that the effective nuclear charge is the force exerted by the nucleus onto an electron and is given by:



where Z = nuclear charge or atomic number and S = shielding constant


The shielding constant can be calculated using Slater’s Rules:


For ns and np electrons:

1. Each electron in the same group will contribute 0.35 to the S value. A 1s electron contributes 0.30 to the S value of another 1s electron.

2. Each electron in the n–1 group contributes 0.85 to the S value.

3. Each electron in the n–2 or greater group contributes 1.00 to the S value.


For nd and nf electrons:

1. Each electron in the same group will contribute 0.35 to the S value.

2. Each electron in the groups to the left contributes 1.00 to the S value.


For this problem, we will determine the Zeff for Na and K using the following steps:

Step 1: Determine the atomic number.

Step 2: Determine the electron configuration and group them by n-values.

Step 3: Calculate for the shielding constant using Slater's Rules.

Step 4: Calculate for Zeff.

Then predict the Zeff for Rb


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