Chapter 4 Arrangement of Electrons in Atoms SECTION 1 1. In what way does the photoelectric effect support the particle theory of light? In order for an electron to be ejected from a metal surface, the electron must be struck by a single photon with at least the minimum energy needed to knock the electron loose. 2. What is the difference between the ground state and the excited state of an atom? The ground state is the lowest energy state of the atom. When the atom absorbs energy, it can move to a higher energy state, or excited state. 3. Under what circumstances can an atom emit a photon? A photon is emitted when an atom moves from an excited state to its ground state or to a lower-energy excited state. 4. How can the energy levels of the atom be determined by measuring the light emitted from an atom? When an atom loses energy, it falls from a higher energy state to a lower energy state. The frequency of the emitted light, observed in an element’s line-emission spectrum, may be measured. The energy of each transition is calculated using the equation E _ hv, where v is the frequency of each of the lines in the element’s line emission spectrum. From the analysis of these results, the energy levels of an atom atom of each element may be determined. 5. Why does electromagnetic radiation in the ultraviolet region represent a larger energy transition than does radiation in the infrared region? Energy is proportional to frequency, and ultraviolet radiation has a higher frequency than infrared radiation. To produce ultraviolet radiation, electrons must drop to lower energy levels than they do to produce infrared radiation. 6. Which of the waves shown below has the higher frequency? (The scale is the same for each drawing.) Explain your answer. Wave B has the higher frequency. Wavelength is inversely proportional to frequency, so as the wavelength decreases, its frequency increases. 7. How many different photons of radiation were emitted from excited helium atoms to form the spectrum shown below? Explain your answer. Six different photons were emitted. Each time an excited helium atom falls back from an excited state to its ground state or to a lower energy state, it emits a photon of radiation that shows up as this specific line-emission spectrum. There are six lines in this helium spectrum. PROBLEMS Write the answer on the line to the left. Show all your work in the space provided. 8. 9.7 x 1014 Hz 9. 9.4 x 109 m Handout 13.1 Part A Completion 1. electrons 2. John Dalton 3. J.J. Thomson 4. plum-pudding 5. nucleus 6. circular 7. quantum mechanical 8. probability Part B True/False 9. AT 11. NT 13. AT 10. ST 12. AT 14. AT Part C Matching 15. c 17. a 16. b 18. d Part D Questions and Problems 19. Dalton proposed that matter was made of indestructible particles called atoms. Thomson proposed an atomic model in which negatively charged electrons were embedded in a positively charged mass. Rutherford discovered that atoms are mainly empty space. He proposed that electrons surround a dense nucleus. Bohr proposed that electrons are arranged in concentric circular paths around the nucleus. According to Bohr, the electrons in a particular orbit have a fixed energy, which prevents them from falling into the nucleus. In the modern atomic theory, the locations of electrons are not fixed; they are described in terms of probability. 20. a. 3 orbitals c. 7 orbitals b. 5 orbitals d. 1 orbital Handout 13.2 Part A Completion 1. electron configurations 2. Aufbau principle 3. equal 4. Pauli exclusion 5. two 6. opposite 7. a single electron 8. superscripts 9. electrons 10. Chromium Part B True/False 11. ST 13. NT 15. AT 12. NT 14. AT 16. NT Part C Matching 17. e 19. b 21. c 18 d 20. a Part D Questions and Problems 22. a. 1s22s22p2 b. 1s22s22p63s23p4 c. 1s22s22p63s23p64s1 d. 1s22s22p63s23p6 23. a. Ar b. B Handout13.3 Part A Completion 1. waves 2. inversely 3. light 4. atomic emission spectrum 5. light radiation 6. photoelectric 7. frequency Part B True/False 8. NT 10. AT 12. NT 9. NT 11. NT Part C Matching 13. c 15. e 17. b 14 a 16. d Part D Questions and Problems 18. 1.25 x 1015Hz 19. The photoelectric effect will not occur unless the frequency of the light striking a metal is high enough to cause an electron to be ejected from the metal. The frequency of the light must be above the threshold frequency that will provide the necessary quanta of energy. Handout Chapter 4 section 2 1d 2a 3a 4c 5c 6c 7c 9. Principal quantum number , n, energy level of the electron (1, 2, 3, 4, 5, 6, 7) Angular momentum quantum number, l, sublevel of the electron (s=0, p=1, d=2, f=3 etc.) Magnetic quantum number, m, orbital orientation (-3,-2, -1, 0, 1, 2, 3) Spin quantum number, s, spin of the electron in the orbital (-½, ½) 10 Since the position and direction of the electron cannot be known simultaneously we can only calculate the probability of finding an electron in a given shape around the nucleus. 11 1 s 2 s,p 3 s,p,d 4 s,p,d,f Handout chapter 4 section 3 1. No 2 electrons in an atom can have the same principal quantum numbers. Since each orbital can hold 2 electrons and the first 3 quantum numbers only specify the orbital, the last quantum number must be able to identify 1 of 2 electrons therefore up spin or down spin. 2. This condition can exist if this atom of Helium is in the excited state. 3. P 1S22S22P63S23P3 ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑ ↑ ↑ 1S 2S 2P 3S 3P 4. N 1S22S22P3 ↑↓ ↑↓ 1S 2S ↑ ↑ ↑ 2P 5. K 1S22S22P63S23P64S1 ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 1S 2S 2P 3S 6. Al 1S22S22P63S23P1 ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 1S 2S 2P 3S ↑↓ ↑↓ ↑↓ ↑ 3P 4S ↑ __ __ 3P 7. Ar 1S22S22P63S23P6 ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 1S 2S 2P 3S 3P 8. B 1S22S22P1 ↑↓ ↑↓ ↑ __ __ 1S 2S 2P 9 a. Pauli is violated b. Hund’s rue is violated