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x y z (1s + 1s) σ
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(1s - 1s) sσ*
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(2pz + pz) 2pσ
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(pz - pz) 2pσ*
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(2px + 2px) 2pπ
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(2px - 2px) 2pπ*
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(2py + 2py) 2pπ
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(2py - 2py) π*
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1sσ* 1sσ (1sσ)2 (1sσ*)2
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H2+ 1sσ* ↑ 1sσ (1sσ)2 (1sσ*)2
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H2 1sσ* ↑ ↓ 1sσ (1sσ)2 (1sσ*)2
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He2+ 1sσ* ↑ ↑ ↓ 1sσ (1sσ)2 (1sσ*)2
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He2+ H2– 1sσ* ↑ ↑ ↓ 1sσ (1sσ)2 (1sσ*)2
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He2 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2
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2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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2p 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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2pσ* 2p 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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2pσ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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2pσ* 2pπ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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2pσ* 2pπ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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O2 2pσ* 2pπ* 2pπ 2pσ 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ)
(1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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(1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
↑ ↑ ↑ ↓ 2pσ ↑ ↓ ↑ ↓ 2pπ ↑ ↓ 2sσ* 2sσ ↑ ↓ 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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O2 2pσ* 2pπ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ)
(1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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O2 2pσ* 2pπ* 2pσ 2pπ 2sσ* 2sσ 1sσ* 1sσ)
↑ ↑ ↑ ↓ 2pσ ↑ ↓ ↑ ↓ 2pπ ↑ ↓ 2sσ* 2sσ ↑ ↓ 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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O2 2pσ* 2pπ* 2pσ 2pπ 2sσ* 2sσ 1sσ* 1sσ)
↑ ↑ ↑ ↓ 2pσ ↑ ↓ ↑ ↓ 2pπ ↑ ↓ 2sσ* 2sσ ↑ ↓ 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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O2 2pσ* 2pπ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ)
↑ ↑ 2pπ ↑ ↓ ↑ ↓ ↑ ↓ 2pσ ↑ ↓ 2sσ* 2sσ ↑ ↓ 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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O2 2pσ* 2pπ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ)
↑ ↑ 2pπ ↑ ↓ ↑ ↓ ↑ ↓ 2pσ ↑ ↓ 2sσ* 2sσ ↑ ↓ 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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O2 2pσ* 2pπ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ)
↑ ↑ 2pπ ↑ ↓ ↑ ↓ ↑ ↓ 2pσ ↑ ↓ 2sσ* 2sσ ↑ ↓ 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2
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Separate atoms ↑ ↑
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At the bond separation the bonding and antibonding orbitals split apart in energy
↑ ↑
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The electrons pair up in the lower level – energy is gained - relative to the separate atoms and a stable molecule is formed σ* ↑ ↑ ↓↑ σ
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σ* E = α - β ↓↑ σ E = α + β
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Note β the stabilisation energy is –ve
↓↑ E = α + β Note β the stabilisation energy is –ve
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↑ σ* ↑ σ
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↓↑ σ* σ
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H2+ σ* ↑ σ
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The wave function is usually represented by ψ
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The electron density is given by ψ2
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probability = ψ2 Electron Density Radius r
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