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2.3 Basic structure types


                 Lattice energy of a ionic structure








                                              1) Set the first derivative of the sum to zero


                                              2) Substitute B-parameter of repulsive part




                                                                                                                                 2
                                                                                                                         z
                                                                                                                              e
                           0
                                        .(V     AB           Born   )                       0               z         0    N    1 (    1  )
                                  Min
                                                                                                               A
                                                            V
                           L
                                                                                                                    4
                                                                                                                               r
                                                                                                                                                  n
                                                                                                   L
                                                                                                                            0
                                                                                                              -1
                      • typical values, measured (calculated) [kJ mol ]:

                             • NaCl: –772 (-757); CsCl: -652 (-623)

                             • measured means by Born Haber cycle (later)

                      • fraction of Coulomb interaction at r : ~ 90%
                                                                                           0
                      • missing in our lattice energy calculations:


                             • zero point energy

                             • dipole-dipole interaction

                             • covalent contributions, example: AgCl: -912 (-704)
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