Past exam of the chemistry course of the year 1 of the natural sciences course of the University of Cambridge / 2022 / Paper 1 / 2 / a

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- Solution a

Solution

The one-electron species are

C^{5 +}

and

N^{6 +}

, so there is no electron–electron screening and the nuclear charges remain

Z = 6

and

7

.

E_{n = 2} (C^{5 +}) = - 13.6 \frac{6 ^{2}}{4} = - 122.4 eV, E_{n = 2} (N^{6 +}) = - 13.6 \frac{7 ^{2}}{4} = - 166.6 eV .

Within the stated hydrogen-like ion model,

2 s

and all three

2 p

atomic orbitals of a given species have the same energy. The energy zero is a separated electron and the residual nucleus.

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