Lattice Energy By: Shelby Toler, Courtney Matson, Andrew DiLosa, and Jordan Fike Definition of Lattice Energy The energy required to separate one mole of a solid ionic compound into its gaseous ions This means that no lattice energy could be measured if one of the ions can not be made gaseous Periodic Trend As the mass of the ionic compound decreases and the ion charges increase, the lattice energy increases Potential Magnitude of Lattice Energy Eel= (kQ1Q2)/d Q1 and Q2 are the charges of the ions k is a constant; 8.99 x 109 J-m/C2 d is the distance between the centers Hint: To find d, add the bonding radii of the ions in the compound. Use table on page 231 (old book) and page 266 (new book) Example 1:Finding Potential Lattice Energy Find the potential lattice energy of MgO. Eel= (kQ1Q2)/d d= Mg (1.30) + O (0.73) = 2.03 k= constant: 8.99 x 109 J-m/C2 Q1= charge of Mg = 2 Q2= charge of O = 2 Eel= ((8.99 x 109 J-m/C2 )(2)(2))/(2.03) Example 2: Finding Lattice Energy By using the data from Appendix C and the other reference materials given, calculate the lattice energy of NaCl. NaCl(s) Na(g)+Cl(g) ∆Hf°(NaCl)= ∆Hf°(Na (g))+ ∆Hf°(Cl (g))+I1(Na)+EA(Cl)- ∆Hlattice ∆Hf°(-411)= ∆Hf°(108(g))+ ∆Hf°(122(g))+I1(496)+EA(-349)- ∆Hlattice ∆Hf°(-411) = 377 - ∆Hlattice ∆Hlattice = 788 kJ/mol Example 3: Finding Lattice Energy By using the data from Appendix C and the other reference materials given, calculate the lattice energy of CaF2. The I2 value of Ca is 1145 kJ/mol. CaF2(s) Ca(g) + 2F(g) ∆Hf°(CaF2)= ∆Hf°(Ca (g))+ 2∆Hf°(F (g))+I1(Ca)+I2(Ca)+2EA(F)∆Hlattice ∆Hf°(-1219.6)= ∆Hf°(179.3)+ 2∆Hf°(80)+I1(590)+I2(1145)+2EA(-328)∆Hlattice ∆Hf°(-1219.6) = 1418.3- ∆Hlattice ∆Hlattice = 2637.9 kJ/mol