Answer:
1 . [tex]Al_2O_3[/tex]
2. [tex]TiO_2[/tex]
Explanation:
The more stable the ionic compound, the more is it lattice energy.
Scandium oxide ([tex]Sc_2O_3[/tex]) is an oxide in which [tex]Sc^{3+}[/tex] behaves as cation and [tex]O^{2-}[/tex] behaves as anion.
The compounds which has higher lattice energy than scandium oxide are:
1 . [tex]Al_2O_3[/tex]
This is because the charge are same on the cation and the anion as in the case of the Scandium oxide but the size of the cation [tex]Al^{3+}[/tex] is smaller than [tex]Sc^{3+}[/tex]. Thus, this corresponds to higher lattice energy.
2. [tex]TiO_2[/tex]
This is because the charge on the cation [tex]Ti^{4+}[/tex] is greater than that of [tex]Sc^{3+}[/tex] and also the size of the cation [tex]Ti^{4+}[/tex] is smaller than [tex]Sc^{3+}[/tex]. Thus, this corresponds to higher lattice energy.