Physical Chemistry Third Edition

782 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms Antisymmetrization The orbital w ...

18.6 The Lithium Atom 783 Exercise 18.7 Use the rule of Eq. (B-99) of Appendix B for expanding a three-by-three determinant to s ...

784 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms PROBLEMS Section 18.6: The Lithi ...

18.7 Atoms with More Than Three Electrons 785 The time-independent Schrödinger equation corresponding to the zero-order Hamilton ...

786 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms configuration (1s)^2 (2s)^2 (2p) ...

18.7 Atoms with More Than Three Electrons 787 a.The number of nodal spheres in the 6swave function. b.The number of nodal sphere ...

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19 The Electronic States of Atoms. III. Higher-Order Approximations PRINCIPAL FACTS AND IDEAS The electron–electron repulsions ...

790 19 The Electronic States of Atoms. III. Higher-Order Approximations 19.1 The Variation Method and Its Application to the Hel ...

19.1 The Variation Method and Its Application to the Helium Atom 791 function. The variation energyWis calculated as a function ...

792 19 The Electronic States of Atoms. III. Higher-Order Approximations conjugates because our function is real. We assume that ...

19.1 The Variation Method and Its Application to the Helium Atom 793 proportional toZ. The electron–electron repulsion term in t ...

794 19 The Electronic States of Atoms. III. Higher-Order Approximations The second term in the Hamiltonian operator in Eq. (19.1 ...

19.1 The Variation Method and Its Application to the Helium Atom 795 wherer 12 is the distance between the electrons. This funct ...

796 19 The Electronic States of Atoms. III. Higher-Order Approximations φ(x) { Acos(bx)if0<|x|<π/ 2 b 0if|x|>π/ 2 b wh ...

19.2 The Self-Consistent Field Method 797 We describe the application of the method to the ground state of the helium atom. If e ...

798 19 The Electronic States of Atoms. III. Higher-Order Approximations This equation is solved numerically and the resulting so ...

19.3 The Perturbation Method and Its Application to the Ground State of the Helium Atom 799 The self-consistent field method can ...

800 19 The Electronic States of Atoms. III. Higher-Order Approximations The ground state of the helium atom is nondegenerate. Th ...

19.3 The Perturbation Method and Its Application to the Ground State of the Helium Atom 801 ψ 1 (0) √ 2 2 a sin ( π(x+a) 2 a ) ...