Spectroscopical Term Schemata

* Structures in Micro Objects * Term Schema of Electron Hulls The term schema of the electron hull in an arbitrary atom is obtained by solving the Schrödinger equation for a sufficiently detailed Coulomb potential. For any electron state, we denote by n ... the principal quantum number (shells K,L,... with n = 1,2,...), l ... the orbital angular momentum (orbitals s,p,... with l = 0,...,n), m ... the magnetic quantum number (m = -l,...,l). At Z = 121 (Tl''=Ubu) the Term Schema becomes irregular, since not only the 8s2-orbital but even a part of the 8p6-orbital, 8p(1/2)2, is located below the 5g18- (a totally new feature), 6f14-, and 7d10-orbitals. The other part of the 8p6-orbital, 8p(3/2)4, however, lies above the 9s2- and the lower 9p(1/2)2-orbitals. This is the reason why the 8th and 9th period do not show the famous Seaborg parallel alignment configuration which was characteristic for the 6th (lanthanides) and 7th (actinides) period. # of states K (n = 1) L (n = 2) M (n = 3) N (n = 4) O (n = 5) P (n = 6) Q (n = 7) R (n = 8) S (n = 9) Elements 172 ___8p(3/2)4 Bi''=Uhe,...,Rn''=Usb 168 ___9p(1/2)2 Tl'''=Uhs,Pb'''=Uho 166 ___9s2 Fr''=Uhp,Ra''=Uhh 164 ___7d10 Lr'=Upp,...,Hg''=Uhq 154 ___6f14 Ac'=Uqu,...,No'=Upq 140 ___5g18 Ubt,...,Uqn 122 ___8p(1/2)2 Tl''=Ubu,Pb''=Ubb 120 ___8s2 Fr'=Uue,Ra'=Ubn 118 ___7p6 Tl'=Uut,...,Rn'=Uuo 112 ___6d10 Lr,...,Hg'=Uub 102 ___5f14 Ac,...,No 88 ___7s2 Fr,Ra 86 ___6p6 Tl,...,Rn 80 ___5d10 Lu,...,Hg 70 ___4f14 La,...,Yb 56 ___6s2 Cs,Ba 54 ___5p6 In,...,Xe 48 ___4d10 Y,...,Cd 38 ___5s2 Rb,Sr 36 ___4p6 Ga,...,Kr 30 ___3d10 Sc,...,Zn 20 ___4s2 K,Ca 18 ___3p6 Al,...,Ar 12 ___3s2 Na,Mg 10 ___2p6 B,...,Ne 4 ___2s2 Li,Be 2 ___1s2 H,He Boldface state numbers denote closed hull shells and are called magic shell numbers.