Physical Chemistry Third Edition

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18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms PRINCIPAL FACTS AND IDEAS The zero- ...

764 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms Nucleus ( 1 Ze) Electron 1 2 e 2 ...

18.1 The Helium-Like Atom 765 quantum mechanically, so we must work with approximations. We begin with the zero-order approximat ...

766 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms These are two hydrogen-like Schr ...

18.2 The Indistinguishability of Electrons and the Pauli Exclusion Principle 767 If the wave function is a product of two orbita ...

768 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms where theψfunctions are spin orb ...

18.3 The Ground State of the Helium Atom in Zero Order 769 function can be written as Ψgs(0)(1, 2)Ψ(0) 1 s 1 s(1, 2)  √ 1 2 [ψ ...

770 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms zero-order wave function of a he ...

18.3 The Ground State of the Helium Atom in Zero Order 771 orthogonality of the spin functions and gives unity for the first and ...

772 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms to show that ̂S^2 [α(1)β(2)+β(1) ...

18.4 Excited States of the Helium Atom 773 Probability Densities for Excited States The probability density for finding the two ...

774 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms PROBLEMS Section 18.4: Excited S ...

18.5 Angular Momentum in the Helium Atom 775 There are operators for all of these quantities and theirzcomponents. The eigenvalu ...

776 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms z z z z z s 2 s 1 z s 2 I 2 I 2 ...

18.5 Angular Momentum in the Helium Atom 777 ThêL^2 and̂S^2 operators are not easy to use, and we will not operate explicitly w ...

778 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms so thatMS0 forΨ 3. A similar ca ...

18.5 Angular Momentum in the Helium Atom 779 The three values ofMLcorrespond toL1 with no states left over, so that onlyPterms ...

780 18 The Electronic States of Atoms. II. The Zero-Order Approximation for Multielectron Atoms corresponding to a^1 Pterm. If t ...

18.6 The Lithium Atom 781 PROBLEMS Section 18.5: Angular Momentum in the Helium Atom 18.9 Find the possible term symbols for the ...