Physical Chemistry Third Edition

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20 The Electronic States of Diatomic Molecules PRINCIPAL FACTS AND IDEAS In the Born–Oppenheimer approximation, the nuclei of a ...

824 20 The Electronic States of Diatomic Molecules 20.1 The Born–Oppenheimer Approximation and the Hydrogen Molecule Ion The Sch ...

20.1 The Born–Oppenheimer Approximation and the Hydrogen Molecule Ion 825 We can omit the constantVnnfrom the electronic Hamilto ...

826 20 The Electronic States of Diatomic Molecules First excited state Ground state
4
2 0 2 4 6 2 R/10
^10 m EBO /eV 1 Figur ...

20.1 The Born–Oppenheimer Approximation and the Hydrogen Molecule Ion 827 antibonding orbital, which has a shorter de Broglie wa ...

828 20 The Electronic States of Diatomic Molecules three-dimensional space, moving that point to a new location. As with other o ...

20.1 The Born–Oppenheimer Approximation and the Hydrogen Molecule Ion 829 Exercise 20.1 Find the coordinates of the points resul ...

830 20 The Electronic States of Diatomic Molecules Solution a.(−1,−2, 3) b.(− 1 2 , 1 2 √ 3, 1) Exercise 20.2 Find the following ...

20.1 The Born–Oppenheimer Approximation and the Hydrogen Molecule Ion 831 Solution The function is ψ 1 s √ 1 π ( Z a ) 3 / 2 e− ...

832 20 The Electronic States of Diatomic Molecules kind (same isotope of the same element) it belongs to the molecule. For a mul ...

20.2 LCAOMOs. Approximate Molecular Orbitals That Are Linear Combinations of Atomic Orbitals 833 a.Find the resulting point when ...

834 20 The Electronic States of Diatomic Molecules this calculation, but the result is that the variation energy is minimized wh ...

20.2 LCAOMOs. Approximate Molecular Orbitals That Are Linear Combinations of Atomic Orbitals 835 Overlap region (a)(b)(c) Figure ...

836 20 The Electronic States of Diatomic Molecules LCAOMOs for Additional Excited States of H+ 2 The wave functions for addition ...

20.2 LCAOMOs. Approximate Molecular Orbitals That Are Linear Combinations of Atomic Orbitals 837 Exercise 20.7 Draw sketches of ...

838 20 The Electronic States of Diatomic Molecules PROBLEMS Section 20.2: LCAOMOs. Approximate Molecular Orbitals That Are Linea ...

20.3 Homonuclear Diatomic Molecules 839 The Zero-Order Approximation In the zero-order approximation we ignore the electron–elec ...

840 20 The Electronic States of Diatomic Molecules where the value ofcuis chosen to minimize the variational energy, and the val ...

20.3 Homonuclear Diatomic Molecules 841 since there are no terms with the two electrons assigned to the same atom. When the vale ...