Physical Chemistry Third Edition
742 17 The Electronic States of Atoms. I. The Hydrogen Atom of̂Lz. The complex orbitals are more useful in discussing properties ...
17.4 The Orbitals of the Hydrogen-Like Atom 743 Table 17.3 Real Hydrogen-Like Energy Eigenfunctions ψ 10 ψ 1 s 1 √ π ( Z a ) 3 ...
744 17 The Electronic States of Atoms. I. The Hydrogen Atom 2 0.2 2 0.4 0 0.2 0.0 0.4 1 s 0.8 0.6 1.0 2468101214 (a) r/a (b) 2 0 ...
17.4 The Orbitals of the Hydrogen-Like Atom 745 the origin and atr→∞. TheR 30 (R 3 s) function corresponds to two spherical noda ...
746 17 The Electronic States of Atoms. I. The Hydrogen Atom Figure 17.7. It is possible to draw rough graphs of otherΘandΦfuncti ...
17.4 The Orbitals of the Hydrogen-Like Atom 747 EXAMPLE17.6 Describe the nodal surfaces for the real orbitals of the second shel ...
748 17 The Electronic States of Atoms. I. The Hydrogen Atom The 3dz^2 Orbital Region The 3pz Orbital Region The 3s Orbital Regio ...
17.5 Expectation Values in the Hydrogen Atom 749 b.Sketch the orbital regions for the first few energy eigenfunctions for a part ...
750 17 The Electronic States of Atoms. I. The Hydrogen Atom z y x Volume element of volumer^2 sin()dddr dr rsin()d rsin( ...
17.5 Expectation Values in the Hydrogen Atom 751 Solution Since the wave function is normalized we can omit the denominator in t ...
752 17 The Electronic States of Atoms. I. The Hydrogen Atom The locations that lie at distances from the nucleus betweenr′andr′+ ...
17.6 The Time-Dependent Wave Functions of the Hydrogen Atom 753 Exercise 17.14 Sketch rough graphs of the radial distribution fu ...
754 17 The Electronic States of Atoms. I. The Hydrogen Atom to the motion of a classical particle orbiting the nucleus with posi ...
17.7 The Intrinsic Angular Momentum of the Electron. “Spin” 755 nucleus, then moving toward the nucleus, passing through the nuc ...
756 17 The Electronic States of Atoms. I. The Hydrogen Atom Solution We can obtain this quantity from the expectation value of t ...
17.7 The Intrinsic Angular Momentum of the Electron. “Spin” 757 EXAMPLE17.10 Figure 17.12 shows the two cones of possible direct ...
758 17 The Electronic States of Atoms. I. The Hydrogen Atom representation of the spin coordinates, we cannot write any mathemat ...
17.7 The Intrinsic Angular Momentum of the Electron. “Spin” 759 commuting observables can put a system into a known state. The f ...
760 17 The Electronic States of Atoms. I. The Hydrogen Atom The angular functionsYlm(θ,φ) are called spherical harmonic function ...
17.7 The Intrinsic Angular Momentum of the Electron. “Spin” 761 b.The reduced mass of the nuclei in a CO molecule. c.The magnitu ...
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