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Effective nuclear charge Effective Nuclear charge H • Modern periodic table: arrange elements in order of increasing atomic number. 1 proton •Effective nuclear charge (Zeff): actual charge _________________________ •Main concept of Ch. 7 1 e– •The Zeff ≠ charge on nucleus due to _____________________________. Effective Nuclear charge In H atom, e– attracted by 1 proton Effective Nuclear charge Li He Z=3 In He atom, each e– attracted by 2 protons Effective Nuclear Charge In Li atom, valence e– attracted by 3 protons, but repelled by e– sometimes. What does cross section of e– distribution look like (probability of finding e– for 3s orbital)? • Zeff is approx. since orbitals have differing shapes, sizes and nodes. • What is full e– configuration for Mg? 1s22s22p63s2 What are the valence electrons? which ones are closer to nucleus? Probability (e– density) Distance from nucleus 1 Calculate Zeff for: Z - S = Zeff Mg 11-10 ∼ 1 Cl K Ca Br Rb Sr I Na Zeff ∼ Z – S Effective Nuclear Charge summary Z = atomic number S = core e– Sizes of Atoms and Ions • Outer e– attracted to nucleus, • core (inner) e– screen valence (outer) e– from the nuclear charge. • . • Distance between two nuclei is bond distance. How does Zeff help predict radii of atoms? Which of the following atoms is larger? Na Z - S = Zeff Mg Cl atomic radius (nm) • Bonding radius is estimated from known structures of molecules. 0.17 0.15 0.13 0.11 0.09 0 2 4 Zeff 6 8 HINT: think Zeff , sizes of valence orbitals, # of protons 2 Atomic radius trends Sizes of Atoms and Ions Atomic size varies in periodic table. • Down a group, atoms become _______________ • Across a period, atoms become _______________ Fig 7.6 Trends in the Sizes of Ions •Cations lose e– from largest orbitals; ___________________ than parent atom. • Ion size is distance between ions in ionic solid. • Ion size depends on Zeff, n of valence e– . and # of e– •Anions gain e– to largest orbital ___________________ than parent atom. • Which is bigger, Na or Na+? • Which is bigger, Cl or Cl–? Trends in the Sizes of Ions • Isoelectronic: atoms that have same e– config He and Li+ • Which is bigger in this iso-electronic series? O2- F- Na+ Mg2+ Al3+ 1.18 • : Fig 7.7 3 According to electron configurations, from which orbitals are electrons lost? (hint: think e– config) Ionization energy Li: • 1st ionization energy, IE, is E to remove 1 e– from 1 atom in gas phase: Na(g) → Na+(g) + e-- Be: Element 1st electron 2nd electron Li • The 2nd IE, is the E is for 2nd e– Na+(g) → Na2+(g) + e-- B: 3rd electron 4th electron X X Be X B • Larger IE = harder to remove e–. According to e– configurations, from which orbitals are e– lost? Li: 1s22s1 Element Li Be Be: 1s22s2 1st electron 2nd electron B: 1s22s22p1 X(g) → X+(g) + e− Ionization energy Energies in kJ/mol to remove electrons Using what you know, talk with your neighbor to explain the data below: 3rd electron 4th electron Element X X Li X Be B 1st electron 2nd electron 3rd electron 4th electron B Ionization Energy • Note HUGE increase in IE when a core e– is removed. Fig 7.10 Table 7.2 4 Electron Affinities • Electron affinity: opposite of ionization energy. ∆E when an atom(g) gains an e– to form anion (g) : Cl(g) + e- → Cl– (g) EA = –349 kJ/mol • EA can either be exo or endothermic: Ar(g) + e- → Ar–(g) EA = 35 kJ/mol Fig 7.11 Electron Affinities + EA, Hi IE, No rxns Low IE, low –EA, Lose e– Hi –EA, Hi IE, Gain e– 5