Notes
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Outline
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AHL Atomic Structure I:
Ionization Energy
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Learning objectives
  • Concepts:
    • Ionization, ionization energy, shell, energy level, valence shell, valence electron
  • Skills:
    • Account for the existence of energy levels using evidence from successive ionization energies
    • Use successive ionization energies for an element to determine the group it belongs to and given other relevant data, identify the element
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Ionization
  • We do have confirmation for the idea of energy states in other atoms as well, namely from ionization energy data.
  • Ionization is a special case of excitation.
    • It involves the complete removal of the electron from the valence shell of a ground state atom (or molecule or ion) in the gaseous state.
  • Ionization of hydrogen can be represented thus
    • H(g) ¾®   H+ (g) +  1e- (g)
  • In hydrogen, the electron removed comes from the first shell and is removed to such a distance that the nucleus has no influence over it.
    • In other words, it involves electronic transition from n = 1 to the level of zero potential, i.e. n = ¥.
  • Similarly in the case of a couple of other elements,
    • Na(g)   ¾¾¾®   Na+(g)  +  1e-(g)  n = 3  ® n = ¥
    • K(g)   ¾¾¾®   K+(g)  +  1e-(g) n = 4  ® n = ¥
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Ionization, electronic transition and ionization energy
  • The process requires energy either electrical or light.
  • Energy associated with this process is termed enthalpy of ionization (DHqIE) or simply ionization energy.
      • X(g)   ¾¾®   X+(g)  +  1e-(g) * DHqIE  =  positive
      • XY(g)   ¾¾®   XY+(g)  +  1e-(g)
      • X+(g)   ¾¾®   X2+(g)  +  1e-(g)
    • When successive electrons are removed, the stages and process of formation of each successive ion is distinguished by calling them 1st, 2nd, 3rd ionization.
    • For example
      • Na(g)   ¾¾®   Na+(g)  +  1e-(g) IE = 1st ionization energy
      • Na+ (g)   ¾¾®   Na2+(g)  +  1e-(g) IE = 2nd ionization energy
      • Na2+ (g)   ¾¾®   Na3+(g)  +  1e-(g) IE = 3rd ionization energy etc.
  • * Electrons removed during ionization of a gas-phase atom are also in the gas phase. This ionization is an actual process, not a hypothetical half-reaction, so the electron is assigned a definite state, namely “g”.
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Ionization
    • When the term ionization (energy) is used in isolation, 1st ionization (energy) must be understood.
  • Reverse of Ionization:
    • X+(g)  +  1e-(g) ®   X(g)  n = ¥  ®  n = 1, DHq = - DHqIE
  • where, IE = ionization energy
  • Electronic transition from ¥  ® 1 involves evolution of energy in the form of light energy (as with every other relaxation process).
  • Ionization energy therefore is the energy required to remove an electron from a gaseous atom to produce a gaseous ion.
  • Defined another way, it is the energy required to convert a mole of gaseous atoms into a mole of positively charged gaseous ions.



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Evidence for shells: Successive ionization energy of Sodium
  • When an electron is removed from an inner shell, there is a big increase in the ionization energy, almost 10 fold increase, indicating the removal of an electron that is closer to the nucleus.
  • For sodium, the first jump is when the second electron is removed. Magnesium the third, Si the fifth, which, relates to the number of valence electrons in each atom and therefore the group the element belongs to.
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Evidence for shells: Successive ionization energy of Sodium
  • When successive ionization energies for any element is graphed, grouping of electrons is observed, a grouping that is consistent from element to element.
  • Look at the successive ionization energies of sodium (see next couple of slides).
    • There is a big jump from the 1st to the 2nd (almost a 10-fold increase).
    • The change then is gradual until the 9th and then there is almost a 5 fold increase from the 9th to the 10th.
    • There isn’t that big a change between the 10th and the 11th.
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Evidence for shells: Successive ionization energy of Sodium
  • Each group of 8 electrons (2 in the first) is an indication of an individual shell, symbol n.
    • Some also use the term orbit (in keeping with Bohr’s solar system model of the atom) to refer to a shell.
  • Successive ionization energy data thus confirms the existence shells.
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Evidence for shells: Successive ionization energy of Sodium
  • A plot of the successive ionization energy of sodium shows a grouping of 1, 8, 2 (from the outermost to the innermost shell).
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Evidence for shells: Successive ionization energy of Potassium
  • Similarly with potassium a grouping of 1, 8, 8, 2 is observed.
    • A configuration of 2, 8, 8, 1.
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Evidence for shells: Successive ionization energy of Silicon
  • Here the first big jump is from 4th to 5th indicating that there are 4 electrons in the outermost shell.
    • The electronic configuration therefore is 2, 8, 4.
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Practice Questions: Multiple Choice
  • 1. 90/3. The first three ionization energies for two elements, X and Y, are
  • Ionization Energies (kJ mol-1)
  • First Second Third
  •   X 520 7,300 11,800
  • Y 1,086 2,350 4,620
  • Which pair of elements represents X and Y?
  • A. 3Li and 6C     B. 4Be and 8O     C. 2He and 4Be     D. 8O and 16S
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Practice Questions: Structured
  • 1. Consider the following successive ionization energies (kJ/mol) of element X.
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Practice Questions: Structured
  • 2. The following table shows different ionization energies for some elements.
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Practice Questions: Structured
    • b) State what group each element belongs to. Explain your choice of group assignment for each element using only the data given above. [4]










    • c) Why doesn’t W have a 5th ionization energy associated with it? [1]

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Practice Questions: Structured
  • 4. N01/5. (b) (i) Describe how the first four ionisation energies of aluminium vary. (You may wish to sketch a graph to illustrate your answer.) [2]
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Practice Questions: Structured
  • 5. a) (i) Describe how the first 15 ionization energies of phosphorus vary. (You may wish to sketch a graph to illustrate your answer.) [3]







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Practice Questions: Structured
      • (ii) Explain how the graph provides evidence for the arrangement of electrons in different energy levels.









    • b) State what you understand by ionization energy of phosphorus. Give an equation to illustrate your answer. [3]