Physical Chemistry Third Edition

642 14 Classical Mechanics and the Old Quantum Theory T 25 2500 K T 15 2000 K 0 1000 2000 3000 Infrared region T 35 3000 K Rayle ...

14.4 The Old Quantum Theory 643 In 1900 Max Planck devised a new theory of black-body radiation that agreed with experimental re ...

644 14 Classical Mechanics and the Old Quantum Theory EXAMPLE14.2 Show that the wavelength of maximum spectral radiant emittance ...

14.4 The Old Quantum Theory 645  2 πhc^2 ( kBT hc ) 4 π^4 15  2 π^5 k^4 15 h^3 c^2 T^4 σT^4 σ 2 π^5 (1. 3807 × 10 −^23 JK−^1 ...

646 14 Classical Mechanics and the Old Quantum Theory The Wave–Particle Duality of Light Since light exhibits a particle-like na ...

14.4 The Old Quantum Theory 647 wheren 1 andn 2 are two positive integers andRHis a constant known asRydberg’s constant, equal t ...

648 14 Classical Mechanics and the Old Quantum Theory The centripetal force is provided by the electrostatic attraction of the p ...

14.4 The Old Quantum Theory 649 where we assign the value ofV to approach zero asr→∞. (Remember that we can always pick the stat ...

650 14 Classical Mechanics and the Old Quantum Theory Exercise 14.16 a.Substitute the values of the constants into the expressio ...

14.4 The Old Quantum Theory 651 14.24a.Derive an expression for the period of the electronic motion in the Bohr theory (the time ...

652 14 Classical Mechanics and the Old Quantum Theory Summary of the Chapter According to classical mechanics, the state of a si ...

15 The Principles of Quantum Mechanics. I. De Broglie Waves and the Schrödinger Equation PRINCIPAL FACTS AND IDEAS The “matter ...

654 15 The Principles of Quantum Mechanics. I. De Broglie Waves and the Schrödinger Equation 15.1 De Broglie Waves Niels Bohr re ...

15.1 De Broglie Waves 655 As assumed by de Broglie (a) Mismatch–contrary to assumption (b) Figure 15.1 De Broglie Waves around a ...

656 15 The Principles of Quantum Mechanics. I. De Broglie Waves and the Schrödinger Equation The notion of a fictitious wave mov ...

15.2 The Schrödinger Equation 657 With slit 2 closed With slit 1 closed (a) (b) (c) Detector screen which glows where electrons ...

658 15 The Principles of Quantum Mechanics. I. De Broglie Waves and the Schrödinger Equation Nonrigorous Derivation of the Time- ...

15.2 The Schrödinger Equation 659 Exercise 15.2 Carry out the algebra to obtain Eq. (15.2-6) from Eq. (15.2-2). The left-hand si ...

660 15 The Principles of Quantum Mechanics. I. De Broglie Waves and the Schrödinger Equation We substitute (15.2-11) into Eq. (1 ...

15.2 The Schrödinger Equation 661 In the final version of Eq. (15.2-19) we have used the fact that the cosine is an even functio ...