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energy  absorbed,  ∆E, is the difference between  the energy  of the higher energy state and the

               lower energy state.















                       As  shown  schematically  in  Fig,  this  atom  has  four  electronic  energy  levels.  E 0  is  the

               ground state, and the other levels are higher energy excited states. If the exact energies of each

               level are known, the three wavelengths capable of being absorbed can be calculated as follows:










                       The calculated wavelengths λ 1, λ 2, and λ 3 all arise from transitions from the ground state

               to excited states. Absorption lines due to transitions from the ground state are called resonance
               lines. It is possible for an electron in an excited state to absorb radiant energy and move to an

               even higher excited state; in that case, we use the ∆E values for the appropriate energy levels
               involved. As we will see, in AAS most absorptions do arise from the ground state.

                       Quantum theory defines the electronic orbitals in an atom and predicts the lowest energy
               configuration (from the order of filling the orbitals). For example, the 11 electrons in sodium

                                                    1
                                                6
                                            2
                                         2
               have the configuration 1s 2s 2p 3s  in the ground state. The inner shells (principal quantum
               number, n = 1 and 2) are filled and there is one electron in the n = 3 shell. It is this outer shell
               electron that is involved in atomic absorption transitions for sodium.
                       UV and visible wavelengths are the range of radiant energies absorbed in AAS. UV/VIS
               radiation does not have sufficient energy to excite the inner shell electrons, only the electrons

               in the outermost (valence) shell are excited. This is true of all elements: only the outermost

               electrons (valence electrons) are excited in AAS.
                       While  atomic  spectroscopy  considers  the  energy  state  of  the  atom  and  considers

               quantized leaps from one state to another, a simplified picture can be developed for the electronic
               transitions that are of interest in atomic absorption.

                       The  number  of  energy  levels  in  an  atom  can  be  predicted  from  quantum  theory.  The

               actual energy differences of these levels have been deduced from studies of atomic spectra.
               These levels have been graphed in Grotrian diagrams, which are plots for a given atom showing

               energy  on  the  y-axis  and  the  possible  atomic  energy  levels  as  horizontal  lines.  A  partial
               Grotrian diagram for sodium is shown in next Fig.

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