Chapter 8 SUGGESTED HOMEWORK PROBLEMS 41, 43, 45, 47, 51, 53, 61, 65, 67, 69, 73, 75, 79, 81, 85, 87, 89 Chapter 8 Atomic “zoning rule”: Pauli exclusion principle – no two electrons may have the same four quantum numbers. Electron configurations and orbital diagrams. We will do from periodic table. (Aufbau principle). Electron Configs & Orbital Diagrams • H – one electron. • Must go in the lowest energy level available. (Aufbau) • n = 1, l = 0, ml = 0, and ms = +1/2 or -1/2 • Choose +1/2 • So l = 0 and ml = 0 • Electron config.: 1s1 • Orbital diagram: ↑ ml = 0 Electron Configs & Orbital Diagrams • He – two electrons. First electron has n = 1, l = 0, ml = 0, and ms = +1/2 – same as H • Second electron: n = • So l = and ml = • Since these numbers the same as first electron, ms must = -1/2 (Pauli) • Electron config.: • Orbital diagram: Electron Configs & Orbital Diagrams • Li – three electrons. Electron config is 1s22s1 • Why??? Why not 1s3? • Try n = 1 for third electron.l = 0 and ml = 0 • First electron: n = 1, l = 0, ml = 0, ms =+1/2 • 2nd electron: n = 1, l = 0, ml = 0, ms = -1/2 • Third electron: n = 1, l = 0, ml = 0, ms = must be either +1/2 or -1/2 There’s Mr. Pauli! So... Electron Configs & Orbital Diagrams • Third electron on Li: n = 2 • l = 0, 1, ..., n -1 and n -1 = 1 So l can be or Choose lowest: l = • Since l = , ml = Choose ms = +1/2 • Electron config: • Orbital diagram: Electron Configs & Orbital Diagrams • Be – four electrons. First three same as Li • Fourth electron – n = • l= ;ml = • ms must be • Electron config: • Orbital diagram: Electron Configs & Orbital Diagrams • B – five electrons. First four same as Be • Fifth electron still n = 2 • Try l = 0, so ml = 0. So ms either +1/2 or 1/2 • Either way, two electrons with same four Q.N. • So... Electron Configs & Orbital Diagrams • The fifth electron for B must have quantum numbers: • n= ,l= • ml can range from -l to +l ... choose -1 • ms either +1/2 or -1/2 ... choose +1/2 • Electron config: • Orbital diagram Electron Configs & Orbital Diagrams • C – six electrons. First five same as B • Sixth electron: n = • l = . For l = 1, ml = -1, 0, +1. But -1 already used. So choose ml = . • Hund’s rule: Subshells half fill each orbital before any are completely filled. • ms = • electron config.: • Orbital diagram: Electron Configs & Orbital Diagrams • N – seven electrons. First six same as C • Seventh electron – n = 2 • l = 1; ml, already used -1 & 0, so use ml = • ms= • Electron config.: • Orbital diagram: Electron Configs & Orbital Diagrams • O – Eight electrons. First seven same as N • 8th electron: n = • l = 1; ml = -1, 0, +1. Choose ml = -1 • ms must be • Electron config.: • Orbital diagram: Electron Configs & Orbital Diagrams • F – nine electrons – first eight same as O • 9th electron – n = • l = 1; ml may be 0 or +1 (Hund) Choose ml = 0 • ms= • Electron config.; • Orbital diagram: Electron Configs & Orbital Diagrams • • • • • • Ne – ten electrons. First nine same as F 10th electron – n = l = 1; ml must be +1 ms= Electron config.: Orbital diagram Electron Configs & Orbital Diagrams • • • • • • • Third row same as last, with n = 3. Fourth row: K – 19 electrons. First 18 electrons same as Ar 19th electron: n = 4; l = 0, 1, or 2...choose l = 0 ml = 0 and ms = +1/2 Electron config.: or Orbital diagram: ↑ Electron Configs & Orbital Diagrams • Ca – 20 electrons. First 19 same as K • n = 4; l = 0; ml = 0; ms = -1/2 • Electron config.: or • Orbital diagram: Electron Configs & Orbital Diagrams • When we get to Sc, we need to remember that we haven’t completed the n = 3 quantum number yet. • On the third row, we did l = 0 (s subshell) and l = 1 (p subshell). • But for n = 3, there are three subshells, because l = 0, 1, ... n - 1 and with n = 3, those are l = 0, 1, 2. • It is after n = 4, l = 0 (after Ca) that the n = 3, l = 2 (beginning with Sc) starts to fill. Electron Configs & Orbital Diagrams • Sc – 21 electrons. First 20 same as Ca • 21st electron. Watch out! • n = ; for n = 3, l = 0, 1, 2. Used l = 0, 1 in row three. Use l = • For l = 2 , ml = ...choose ml = -2 ms= • Elec. config.: or • • Orbital diagram: Electron Configs & Orbital Diagrams • Ti – 22 electrons. First 21 same as Sc • 22nd electron – n = 3; l = 2; • ml = -1, 0, +1, +2 (already used -2 – Hund) Choose ml = -1 ms= +1/2 • Elec. config.: or • • Orbital diagram: Electron Configs & Orbital Diagrams • V – 23 electrons. First 22 same as Ti • 23rd electron – n = 3; l = 2; • ml = 0, +1, +2 (already used -2, -1 Hund) Choose ml = 0 ms= +1/2 • Elec. config.: or • Orbital diagram: Electron Configs & Orbital Diagrams • Cr – 24 electrons. First 23 same as V • 24th electron – n = 3; l = 2; • ml= +1, +2 (already used -2, -1, 0 – Hund) Choose ml = +1 and ms= +1/2 • Elec. config.: 1s22s22p63s23p64s23d4 or [Ar]4s23d4 • Orbital diagram: ↑↓ ↑ ↑ ↑ ↑ • NOT QUITE!!!...SORRY. Electron Configs & Orbital Diagrams • • • • Cr – 24 electrons. First 23 same as V 24th electron – n = 3; l = 2; ml = +2 and ms= +1/2 HALF (OR COMPLETELY) FILLED SUBSHELLS MORE STABLE • Elec. config.: • Orbital diagram: or Electron Configs & Orbital Diagrams • • • • • • Mn – 25 electrons. First 24 same as Cr 25th electron – n = 4; l = 0; ml = 0; ms = -1/2 Elec. config.: or Orbital diagram: Electron Configs & Orbital Diagrams • • • • • Fe – 26 electrons. First 25 same as Mn 26th electron – n = 3; l = 2; ml = -2, -1, 0, +1, +2...choose ml = -2 ms= -1/2 Elec. config.: or • Orbital diagram: Electron Configs & Orbital Diagrams • Ni – 28 electrons. First 27 same as Co • 28th electron – n = 3; l = 2; • ml = 0, +1, +2...(already used -2, -1) choose ml = 0 • ms= -1/2 • Elec. config.: or Orbital diagram: Electron Configs & Orbital Diagrams • Cu – 29 electrons. First 28 same as Ni • 29th electron – n = 3; l = 2; • ml = +1, +2...(already used -2, -1, 0) choose ml = +1 • ms= -1/2 • Elec. config.: 1s22s22p63s23p64s23d9 or [Ar] 4s23d9 • Orbital diagram: • NO...THERE’S THAT RULE AGAIN Electron Configs & Orbital Diagrams • • • • • Cu – 29 electrons. First 28 same as Ni 29th electron – n = 3; l = 2; choose ml = +2 ms= -1/2 Elec. config.: or Orbital diagram: Electron Configs & Orbital Diagrams • • • • • Zn – 30 electrons. First 29 same as Ni 30th electron – n = 3; l = 2 Complete 4s and 3d subshells ms= -1/2 Elec. config.: or [Ar] Orbital diagram: Chapter 8 • A summary 1 2 3 4 5 6 H He 1 2 SS 1 2 S S 1 S2 3d S 2 1 4d S S 1 2 5d SS 1 2 3 4 5 6 PP P P P P 1 2 3 4 5 6 PP PP PP 1 2 3 4 5 6 P P P P PP 1 2 3 4 5 6 P P PP P P 1 2 3 4 5 6 PP PP PP These elements end with s electrons These elements end with p electrons These elements end with d electrons Chapter 8 • • • • • • • Electron configs and orbital diagrams of ions. Rule: Metals lose electrons Which electrons? The HIGHEST energy electrons are ALWAYS lost first. Rule: Nonmetals gain electrons Where do the electrons go? Into the LOWEST energy levels available. Chapter 8 • Li – a metal so it will lose electron(s) to form Li+ • How many? • Column IA, so one. ELECTRON CONFIGURATION: 1s2 2s1 ORBITAL DIAGRAM: The ion: 2 0 ELECTRON CONFIGURATION: 1s 2s ORBITAL DIAGRAM: Chapter 8 • Be • Column IIA – two lost to form Be 2+ The atom: ELECTRON CONFIGURATION: 1s2 2s2 ORBITAL DIAGRAM: The ion: 2 0 ELECTRON CONFIGURATION: 1s 2s ORBITAL DIAGRAM: Chapter 8 • B • Column IIIA – three lost to form B3+ The atom: ELECTRON CONFIGURATION: 1s2 2s2 2p1 ORBITAL DIAGRAM: The ion: 2 0 0 ELECTRON CONFIGURATION: 1s 2s 2p ORBITAL DIAGRAM: Chapter 8 • F • Column VIIA – one gained to form F- The atom: 2 2 5 ELECTRON CONFIGURATION: 1s 2s 2p ORBITAL DIAGRAM: The ion: 2 2 6 ELECTRON CONFIGURATION: 1s 2s 2p ORBITAL DIAGRAM: Chapter 8 • O • Column VIA – two gained to form O2- The atom: ELECTRON CONFIGURATION: 1s2 2s2 2p4 ORBITAL DIAGRAM: The ion: 2 2 6 ELECTRON CONFIGURATION: 1s 2s 2p ORBITAL DIAGRAM: Chapter 8 • N • Column VA – three gained to form N3- The atom: 2 2 3 ELECTRON CONFIGURATION: 1s 2s 2p ORBITAL DIAGRAM: The ion: 2 2 6 ELECTRON CONFIGURATION: 1s 2s 2p ORBITAL DIAGRAM: Chapter 8 • Sc • Remember, HIGHEST energy electrons lost FIRST. The atom: ELECTRON CONFIG. : 1s2 2s22p63s23p64s23d1 ORBITAL DIAGRAM: Sc 3+ Chapter 8 • Ti The atom: ELECTRON CONFIG. : 1s2 2s22p63s23p64s23d2 ORBITAL DIAGRAM: 4+ Ti Ti 2+ Chapter 8 • V The atom: V3+ Chapter 8 • Do Fe, Fe 2+, & Fe 3+, and predict which ion is more stable Fe ELECTRON CONFIG. : 1s2 2s22p63s23p64s23d6 ORBITAL DIAGRAM: 2+ Fe 3+ Fe Paramagnetism & Diamagnetism • Pages 355 – 356 • A substance is paramagnetic when it has one or more unpaired electrons • Diamagnetic – no unpaired electrons Chapter 8 • • • • • • Atomic Properties Ionization Potential – the energy needed to remove an electron from an atom in the gas phase. M(g) --> M1+ (g) + 1 eSecond IP: M1+ (g) --> M2+ (g) + 1 eElectron Affinity – the energy released when an atom in the gas phase gains an electron. A(g) + 1 e- --> A-(g) Chapter 8 • Atomic Properties atomic radius ionic radius IP EA down up up up up up down down Chapter 8 • Atomic Properties • Important! See page pp. 362 for exceptions to general trends in IP and EA. Chapter 8 • Trends in Ionization Potential • In general, IP goes up across the table...but not always. Why? F F O N N C B Be Li C Be B Li O Chapter 8 • Trends in Electron Affinity • Same general trend true for Electron Affinity F F O N C B Be O C Li B Li He He Be N Chapter 8 • The electron configs. help us understand the differences • Metals more easily lose than gain electrons. • Opposite true for nonmetals • Metalloids in the middle • Noble gases neither lose nor gain electrons - complete valence shell Chapter 8 • • • • • • • Alkali & Alkaline Metals as Reducing Agents Alkali (group IA) and Alkaline (Group IIA) metals are Good reducing agents. Low IP and so electrons easily lost - reduces another atom. 2 Na + 2 HOH –> 2 NaOH + H2 Will react with halogens: 2 Na(s) + Cl2 –> 2 NaCl Chapter 8 • • • • • • • • • One electron to gain & a high electron affinity Good oxidizing agents Will react with metals & hydrogen: H2 + Cl2 -> 2 HCl Will react with each other: Cl2 + Br2 –> 2 ClBr an interhalogen compound May or may not take electrons from the ion: Cl2 + 2 Br- –> 2 Cl- + Br2 but: Br2 + 2 Cl- –> NR