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===Fricke=== Not all models show the higher elements following the pattern established by lighter elements. Burkhard Fricke et al., who carried out calculations up to element 184 in an article published in 1971, also found some elements to be displaced from the [[Aufbau principle|Madelung energy-ordering rule]] as a result of overlapping orbitals; this is caused by the increasing role of [[relativistic quantum chemistry|relativistic effects]] in heavy elements (They describe chemical properties up to element 184, but only draw a table to element 172.)<ref name="Fricke"/><ref name="BFricke"/> {| class="wikitable" style="text-align: center;" | H | | | | | | | | | | | | | | | | | | | He |- | Li | Be | | | | | | | | | | | | | B | C | N | O | F | Ne |- | Na | Mg | | | | | | | | | | | | | Al | Si | P | S | Cl | Ar |- | K | Ca | Sc | | | Ti | V | Cr | Mn | Fe | Co | Ni | Cu | Zn | Ga | Ge | As | Se | Br | Kr |- | Rb | Sr | Y | | | Zr | Nb | Mo | Tc | Ru | Rh | Pd | Ag | Cd | In | Sn | Sb | Te | I | Xe |- | Cs | Ba | La | | CeβLu | Hf | Ta | W | Re | Os | Ir | Pt | Au | Hg | Tl | Pb | Bi | Po | At | Rn |- | Fr | Ra | Ac | | ThβLr | Rf | Db | Sg | Bh | Hs | Mt | Ds | Rg | Cn | Nh | Fl | Mc | Lv | Ts | Og |- | 119 | 120 | 121 | {{nowrap|122β141}} | 142β155 | 156 | 157 | 158 | 159 | 160 | 161 | 162 | 163 | 164 | | | | | | |- | 165 | 166 | | | | | | | | | | | | | 167 | 168 | 169 | 170 | 171 | 172 |} Fricke et al.'s format is more focused on formal electron configurations than likely chemical behaviour. They place elements 156β164 in groups 4β12 because formally their configurations should be 7d<sup>2</sup> through 7d<sup>10</sup>. However, they differ from the previous d-elements in that the 8s shell is not available for chemical bonding: instead, the 9s shell is. Thus element 164 with 7d<sup>10</sup>9s<sup>0</sup> is noted by Fricke et al. to be analogous to palladium with 4d<sup>10</sup>5s<sup>0</sup>, and they consider elements 157β172 to have chemical analogies to groups 3β18 (though they are ambivalent on whether elements 165 and 166 are more like group 1 and 2 elements or more like group 11 and 12 elements, respectively). Thus, elements 157β164 are placed in their table in a group that the authors do not think is chemically most analogous.<ref name=actrev>{{cite journal |last1=Fricke |first1=Burkhard |last2=Waber |first2=J. T. |date=1971 |title=Theoretical Predictions of the Chemistry of Superheavy Elements: Continuation of the Periodic Table up to Z{{=}}184 |url=https://kobra.uni-kassel.de/bitstream/handle/123456789/2008100124269/Fricke_theoretical_1971.pdf |journal=Actinides Reviews |volume=1 |issue= |pages=433β485 |doi= |access-date=5 January 2024}}</ref>
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