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2.3 Basic structure types


                 Bonding in ionic structures – Coulomb interaction








                                          Calculating the Madelung constant (for NaCl)




                                                                                   First term: attraction from the 6 nearest
                                     12           8           6                    neighbors
                              6
                      A                                         
                                                                       ...
                                        2           3          4                   Second term: repulsion (opposite sign)
                                                                                   from 12 next nearest neighbors


                                                                                   …


                    First coordination   Second       Third coordination
                        sphere      coordination sphere   sphere                   A converges to a value of 1.748.




                                                                                                 A                    CN



                                                       Rock Salt                            1.748                         6


                                                       CsCl                                 1.763                         8



                                                      Sphalerite                           1.638                         4



                                                       Fluorite                             5.039                        8
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