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Superheavy Element Research Superheavy Element Research

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The Periodic Table and Relativity<br />

1 18<br />

1 2<br />

H 2 13 14 15 16 17 He<br />

3 4 5 6 7 8 9 10<br />

Li Be B C N O F Ne<br />

11 12 13 14 15 16 17 18<br />

NNa MMg 3 4 5 6 7 8 9 10 11 12 Al Si P S Cl AAr<br />

19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36<br />

K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr<br />

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54<br />

Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe<br />

55 56 57+* 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86<br />

Cs<br />

87<br />

Ba<br />

88<br />

La<br />

89+"<br />

Hf<br />

104<br />

Ta<br />

105<br />

W<br />

106<br />

Re<br />

107<br />

Os<br />

108<br />

Ir Pt Au Hg<br />

112<br />

Tl Pb Bi Po At Rn<br />

Fr Ra Ac Rf Db Sg Bh Hs 109 110 111 Cn 113 114 115 116 117 118<br />

Mt Ds Rg --- --- --- --- --- ---<br />

Examples of relativistic orbitals<br />

p1/2 p 3/2<br />

s p d f<br />

RRelativity l ti it in i Chemistry Ch i t<br />

Electrons near nucleus:<br />

v is a large g fraction of c<br />

� relativistic mass increase<br />

1) Direct relativistic effect:<br />

*<br />

"<br />

58<br />

Ce<br />

90<br />

Th<br />

59<br />

Pr<br />

91<br />

Pa<br />

60<br />

Nd<br />

92<br />

U<br />

61<br />

Pm<br />

93<br />

Np<br />

62<br />

Sm<br />

94<br />

Pu<br />

63<br />

Eu<br />

95<br />

Am<br />

64<br />

Gd<br />

96<br />

Cm<br />

65<br />

Tb<br />

97<br />

Bk<br />

66<br />

Dy<br />

98<br />

Cf<br />

67<br />

Ho<br />

99<br />

Es<br />

68<br />

Er<br />

100<br />

Fm<br />

69<br />

Tm<br />

101<br />

Md<br />

70<br />

Yb<br />

102<br />

No<br />

71<br />

Lu<br />

103<br />

Lr<br />

s and d p1/2 orbitals bit l are<br />

stabilized / contracted<br />

Rel. effects ~Z<br />

2) Indirect relativistic effect:<br />

2 � Pronounced in heavy elements<br />

-the color of Au:<br />

Au: �E (5d conduct. band � Fermi): 2.4 eV (in vis)<br />

Ag: g �E (4d ( conduct. band � Fermi): ) 3.5 eV (in ( UV) )<br />

2) Indirect relativistic effect:<br />

Other orbitals (p3/2, d, f) are<br />

better shielded from nucleus<br />

� ddestabilized t bili d / expanded d d<br />

-the "inert pair" effect: stabilized 6s electron pair<br />

reduces valency: Tl(I), not Tl(III); Pb(II), not Pb(IV),...<br />

-high ox.states of light actinides: expanded 5f orbitals<br />

available for chemical bonding: U(VI) [but no Nd(VI)]<br />

3) Spin-orbit splitting:<br />

Heavy atoms: two states per l<br />

� p1/2/p3/2; d3/2/d5/2; f5/2/f7/2 Ch.E. Düllmann – <strong>Superheavy</strong> element research – FIAS Colloquium – Frankfurt Institute for Advanced Studies, Frankfurt – October 20, 2011

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