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Calculate the effective nuclear charge e...

Calculate the effective nuclear charge experienced by the `4s`-electron in potassium atom `(Z = 19)`.

Text Solution

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The electronic of `K` is `1s^(2), 2s^(2)2p^(6), 3s^(2)3p^(6), 4s^(1)`, and this atom has `4` shells in it. Therefore,
`(Z_(eff))_(4s) = Z-sigma`
`sigma = ((0.85 xx "number of electrons in" (n-1)th),(shell + 1.00 xx "total number of electrons"),("in the inner shell"))`
`= 0.85 xx 8+1.00 xx 10`
`= 16.80`
Hence, `Z_(eff) = Z-sigma=19-16.80`
`= 2.20`
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