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X y z (1s + 1s) σ.

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Presentation on theme: "X y z (1s + 1s) σ."— Presentation transcript:

1 x y z (1s + 1s) σ

2 (1s - 1s) sσ*

3 (2pz + pz) 2pσ

4 (pz - pz) 2pσ*

5 (2px + 2px) 2pπ

6 (2px - 2px) 2pπ*

7 (2py + 2py) 2pπ

8 (2py - 2py) π*

9 1sσ* 1sσ (1sσ)2 (1sσ*)2

10 H2+ 1sσ* 1sσ (1sσ)2 (1sσ*)2

11 H2 1sσ* ↑ ↓ 1sσ (1sσ)2 (1sσ*)2

12 He2+ 1sσ* ↑ ↓ 1sσ (1sσ)2 (1sσ*)2

13 He2+ H2– 1sσ* ↑ ↓ 1sσ (1sσ)2 (1sσ*)2

14 He2 1sσ* ↑ ↓ ↑ ↓ 1sσ) (1sσ)2 (1sσ*)2

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16 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2

17 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2

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19 2p 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2

20 2pσ* 2p 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2

21 2pσ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2

22 2pσ* 2pπ* 2pπ 2pσ 2sσ* 2sσ 1sσ* 1sσ) (1sσ)2 (1sσ*)2 (2sσ)2 (2pσ)2 (2pπ)4 (2pπ*)4 (2pσ*)2 (2sσ*)2

23 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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25 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

26 (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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29 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

30 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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32 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

33 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

34 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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36 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

37 Separate atoms

38 At the bond separation the bonding and antibonding orbitals split apart in energy

39 The electrons pair up in the lower level – energy is gained - relative to the separate atoms and a stable molecule is formed σ* ↓↑ σ

40 σ* E = α - β ↓↑ σ E = α + β

41 Note β the stabilisation energy is –ve
↓↑ E = α + β Note β the stabilisation energy is –ve

42 σ* σ

43 ↓↑ σ* σ

44 H2+ σ* σ

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50 The wave function is usually represented by ψ

51 The electron density is given by ψ2

52 probability = ψ2 Electron Density Radius r

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