Pre CH7 HW for Silberberg Followings are what you will find at the end of the chapter in your textbook. For LEARNING OBJECTIVES: Highlight the main idea for EACH objective. Ready carefully so you don’t highlight everything. For MASTER THESE SKILLS: Highlight the main idea for each skill. Ready carefully so you don’t highlight everything. For KEY TERMS: Make sure you can define it and/or give an example of it. Pick TWO terms of your choice and actually write the definition or an example. For KEY EQUATIONS AND RELATIONSHIP: Next to EACH, define each term. Be very specific. CHAPTER REVIEW GUIDE Learning Objectives Relevant section (§) and/or sample problem (SP) numbers appear in parentheses. Understand These Concepts 1. The wave characteristics of light (the interrelations of frequency, wavelength, and speed; the meaning of amplitude) and the general regions of the electromagnetic spectrum (§7.1) 2. How particles and waves differ in terms of the phenomena of refraction, diffraction, and interference (§7.1) 3. The quantization of energy and how an atom changes its energy by emitting or absorbing quanta of radiation (§7.1) 4. How the photon theory explains the photoelectric effect (§7.1) 5. How Bohr's theory explained the line spectra of the H atom; why the theory is wrong and which ideas we retain (§7.2) 6. The wave-particle duality of matter and energy and the relevant theories and experiments that led to it (de Broglie wavelength, electron diffraction, and photon momentum) (§7.3) 7. The meaning of the uncertainty principle and how uncertainty limits our knowledge of electron properties (§7.3) 8. The distinction between ψ (wave function, or atomic orbital) and ψ2 (probability density) (§7.4) 9. How electron density diagrams and radial probability distribution plots depict the electron's location within the atom (§7.4) 10. The hierarchy of the quantum numbers that describe the size (n, energy), shape (l), and orientation (ml) of an orbital (§7.4) 11. The distinction between energy level (shell), sublevel (subshell), and orbital (§7.4) 12. The shapes of s, p, and d orbitals (§7.4) Master These Skills 1. Interconverting wavelength and frequency (SP 7.1) 2. Interconverting energy, wavelength, and frequency (SP 7.2) 3. Finding the energy change and the wavelength of the photon absorbed or emitted when an H atom changes its energy level (SP 7.3) 4. Applying de Broglie's equation to find the wavelength of an electron (SP 7.4) 5. Applying the uncertainty principle to see that the location and speed of a particle cannot be determined simultaneously (SP 7.5) 6. Determining quantum numbers and sublevel designations (SPs 7.6–7.8) Key Terms Page numbers appear in parentheses. Section 7.1 electromagnetic radiation (287) frequency (ν) (288) wavelength (λ) (288) speed of light (c) (288) amplitude (288) electromagnetic spectrum (288) ultraviolet (UV) (289) infrared (IR) (289) refraction (290) diffraction (290) quantum number (292) Planck's constant (h) (292) quantum (292) photoelectric effect (292) photon (293) Section 7.2 line spectrum (294) stationary state (295) ground state (296) excited state (296) spectrometry (300) emission spectrum (300) flame test (300) absorption spectrum (300) Section 7.3 de Broglie wavelength (303) wave-particle duality (304) uncertainty principle (305) Section 7.4 quantum mechanics (306) Schrödinger equation (306) atomic orbital (wave function) (306) electron density diagram (307) electron cloud depiction (307) radial probability distribution plot (307) probability contour (307) principal quantum number (n) (308) angular momentum quantum number (l) (308) magnetic quantum number (ml) (308) level (shell) (309) sublevel (subshell) (309) s orbital (311) node (311) p orbital (312) d orbital (312) Page 315 Key Equations and Relationships Page numbers appear in parentheses. 7.1 Relating the speed of light to its frequency and wavelength (288): 7.2 Relating energy change and frequency (292): 7.3 Relating energy change and wavelength (292): 7.4 Calculating the wavelength of any line in the H atom spectrum (Rydberg equation) (295): where n1 and n2 are positive integers and n2 > n1 7.5 Finding the difference between two energy levels in the H atom (297): 7.6 Calculating the wavelength of any moving particle (de Broglie wavelength) (302): 7.7 Finding the uncertainty in position or speed of a particle (Heisenberg's uncertainty principle) (305): Answer the following questions. Show your work. • (a) What is the relationship (direct, inverse, or not related) between wavelength and frequency? (b) What is the relationship (direct, inverse, or not related) between energy and frequency? (c) What is the relationship (direct, inverse, or not related) between wavelength and energy? (d) What is the relationship (direct, inverse, or not related) between wavelength and energy? (e) What is the relationship (direct, inverse, or not related) between speed (velocity) and energy? (f) Read the Heinsenberg's Uncertainly Principle. Explain what it is in your own words.