Formation of Binary Ionic Compounds Binary Ionic Compound Binary- two Ionic- ions Compound- joined together Binary Ionic Compound Solid formed between a metal and a nonmetal The oppositely charged ions together have lower energy Lattice Energy The change in energy that takes place when separated gaseous ions are packed together to form an ionic solid Lattice Energy The energy released when an ionic solid is formed + M (g) + X (g) --> MX(s) Sign will be negative b/c process is exothermic Energy Changes Look at the formation of an ionic solid from its elements Keep in mind that energy is a STATE FUNCTION!! Li(s) + ½ F2(g) --> LiF(s) Sublimation Li(s) of solid Li --> Li(g) Enthalpy for sublimation is 161 kJ/mol Li(s) + ½ F2(g) --> LiF(s) Ionization form Li+ Li(g) of Li atoms to + Li e --> (g) + Ionization is 520 kJ/mol Li(s) + ½ F2(g) --> LiF(s) Dissociation of F2 molecules to F atoms ½ F2(g) --> F(g) 154 kJ/mol Divide by two = 77 kJ/mol Li(s) + ½ F2(g) --> LiF(s) Formation F of ions Electron affinity F(g) + e --> F (g) Electron affinity = - 328 kJ/mol Li(s) + ½ F2(g) --> LiF(s) Formation of LiF(s) Lattice energy + Li (g) + F (g) --> LiF(s) Lattice energy = -1047 kJ/mol Li(s) + ½ F2(g) --> LiF(s) Sum of these 5 processes yields the desired overall reaction -617 kJ (per mole of LiF) Energy Diagram Summarizes process Notice that most of the processes are endothermic and unfavorable Energy Diagram However, the large lattice energy makes the whole process worthwhile K(s) + ½ Cl2(g) --> KCl(s) Sublimation of K = +64 kJ Ionization of K = +419 kJ Bond energy of Cl2 = +240 kJ e- affinity of Cl = -349 kJ Lattice energy = -690 kJ K(s) + ½ Cl2(g) --> KCl(s) Net energy of formation equals the sum of the energy changes Hfo = -436 kJ Lattice Energy Calculations Lattice energy is important in contributing to the stability of the compounds Lattice Energy Calculations Modified from Coulomb’s Law Lattice energy = k(Q1Q2/r) k = constant that depends on structure of solid Lattice energy = k(Q1Q2/r) Q1 and Q2 = charges of ions r = shortest distance between ions Lattice Energy The higher the charge on each ion, the greater the lattice energy will be Lattice Energy This value counteracts the higher endothermic ionization energies, thus resulting in a more stable energetically stable crystal Li(s) + ½ Br2(g) --> LiBr(s) Ionization of Li = +520 kJ/mol e- affinity for Br = -324 kJ/mol sublimation of Li = +161 kJ/mol lattice energy = -787 kJ/mol bond energy Br2 = +193 kJ/mol Li(s) + ½ Br2(g) --> LiBr(s) Hfo = -334 kJ