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The Z("eff") on the last electron in Sc ...

The `Z_("eff")` on the last electron in Sc is______. 

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To find the effective nuclear charge (Z_eff) on the last electron in Scandium (Sc), we need to follow these steps: ### Step 1: Identify the Atomic Number (Z) The atomic number (Z) of Scandium (Sc) is 21. This means that Scandium has 21 protons in its nucleus. **Hint:** The atomic number can be found on the periodic table and represents the number of protons in the element. ### Step 2: Determine the Electron Configuration The electron configuration of Scandium is: \[ \text{Sc: } 1s^2 2s^2 2p^6 3s^2 3p^6 3d^1 4s^2 \] This shows that Scandium has a total of 21 electrons. **Hint:** The electron configuration helps in visualizing how electrons are distributed among the various energy levels and subshells. ### Step 3: Calculate the Shielding Constant (σ) To find the effective nuclear charge (Z_eff), we need to determine the shielding constant (σ). In general, for transition metals like Scandium, we can estimate σ based on the number of inner electrons that shield the outermost electrons. For Scandium: - The inner electrons are those in the 1s, 2s, 2p, 3s, and 3p orbitals. - This gives us a total of 18 inner electrons (2 from 1s, 2 from 2s, 6 from 2p, 2 from 3s, and 6 from 3p). Thus, we can estimate σ ≈ 18. **Hint:** The shielding constant is an estimate of how much the inner electrons shield the outer electrons from the full charge of the nucleus. ### Step 4: Calculate Z_eff Now we can calculate the effective nuclear charge (Z_eff) using the formula: \[ Z_{\text{eff}} = Z - \sigma \] Substituting the values we have: \[ Z_{\text{eff}} = 21 - 18 = 3 \] ### Final Answer The effective nuclear charge (Z_eff) on the last electron in Scandium is **3**. ---
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