1. Let's consider the carbon atom using the orbital approximation. (a) Write the ground-state electron configuration for a carbon atom. (b) Draw an orbital energy diagram showing how electrons (with spin) occupy orbitals. (c) Explain how you used the Pauli exclusion principle in (a).

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Chapter12: Atoms And Molecules
Section: Chapter Questions
Problem 12.12E: Are mathematical expressions for the following potential energies positive or negative? Explain why...
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1. Let's consider the carbon atom using the orbital approximation.
(a) Write the ground-state electron configuration for a carbon atom.
(b) Draw an orbital energy diagram showing how electrons (with spin) occupy orbitals.
(c) Explain how you used the Pauli exclusion principle in (a).
(d) Explain how you used Hund's rule in (a).
(e) Estimate the total energy of a carbon atom by adding the energies of the populated hydrogenic
orbitals using Z = 6. Report your answer in eV and aJ (attojoules).
(f) Estimate the total energy of a carbon atom by adding the energies of the populated hydrogenic
orbitals but replace Z with Zeff(1s) = 5.673, Zeff(2s) = 3.217, and Zetf(2p) = 3.136. Report your answer in
eV and aJ (attojoules).
Transcribed Image Text:1. Let's consider the carbon atom using the orbital approximation. (a) Write the ground-state electron configuration for a carbon atom. (b) Draw an orbital energy diagram showing how electrons (with spin) occupy orbitals. (c) Explain how you used the Pauli exclusion principle in (a). (d) Explain how you used Hund's rule in (a). (e) Estimate the total energy of a carbon atom by adding the energies of the populated hydrogenic orbitals using Z = 6. Report your answer in eV and aJ (attojoules). (f) Estimate the total energy of a carbon atom by adding the energies of the populated hydrogenic orbitals but replace Z with Zeff(1s) = 5.673, Zeff(2s) = 3.217, and Zetf(2p) = 3.136. Report your answer in eV and aJ (attojoules).
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the standard notation usually yields extended negatron configurations (especially for parts having a comparatively giant atomic number). In such cases, Associate in Nursing abbreviated or condensed notation could also be used rather than the quality notation. within the abbreviated notation, the sequence of fully stuffed subshells that correspond to the electronic configuration of a inert gas is replaced with the image of that inert gas in sq. brackets. Therefore, the abbreviated negatron configuration of metal is [Ne]3s1 (the negatron configuration of noble gas is 1s22s22p6, which might be abbreviated to [He]2s22p6).

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