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Calculate the screening constant of Li f...

Calculate the screening constant of `Li` for valency electrons.

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To calculate the screening constant (σ) for the valence electrons of lithium (Li), we will follow these steps: ### Step 1: Understand the Electronic Configuration Lithium has an atomic number of 3, which means it has 3 electrons. The electronic configuration of lithium is: - 1s² 2s¹ This indicates that there are two electrons in the 1s subshell and one electron in the 2s subshell. ### Step 2: Identify the Shells For the valence electron in the 2s subshell, we need to consider the electrons in the inner shells: - The 1s shell contains 2 electrons (n=1). ### Step 3: Apply the Screening Constant Formula The screening constant (σ) can be calculated using the formula: \[ σ = 0.35 \times (n_{shell}) + 0.85 \times (n_{-1 shell}) + 1 \times (n_{inertial}) \] Where: - \( n_{shell} \) = number of electrons in the same shell (2s) - \( n_{-1 shell} \) = number of electrons in the previous shell (1s) - \( n_{inertial} \) = number of inertial electrons (not applicable here) ### Step 4: Calculate Each Component 1. **For the 2s shell (n_shell)**: There are no other electrons in the 2s shell, so \( n_{shell} = 0 \). 2. **For the 1s shell (n_-1 shell)**: There are 2 electrons in the 1s shell, so \( n_{-1 shell} = 2 \). 3. **Inertial electrons**: There are no inertial electrons in this case, so \( n_{inertial} = 0 \). ### Step 5: Substitute Values into the Formula Now, substituting the values into the formula: \[ σ = 0.35 \times 0 + 0.85 \times 2 + 1 \times 0 \] \[ σ = 0 + 1.7 + 0 \] \[ σ = 1.7 \] ### Final Answer The screening constant (σ) for the valence electrons of lithium (Li) is **1.7**. ---

To calculate the screening constant (σ) for the valence electrons of lithium (Li), we will follow these steps: ### Step 1: Understand the Electronic Configuration Lithium has an atomic number of 3, which means it has 3 electrons. The electronic configuration of lithium is: - 1s² 2s¹ This indicates that there are two electrons in the 1s subshell and one electron in the 2s subshell. ...
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