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Try to correlate this type of behaviour with the electronic configuration of these elements
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The members of lanthanide series along with their electronic configuration are given in the below table:
Name
Symbol
Atomic number
Electron configuration
lanthanum
La
57
(Xe)5d1 6s2
Cerium
Ce
58
(Xe)4f1 5d06s2
Praseodymium
Pr
59
(Xe)4f3 5d06s2
Neodymium
Nd
60
(Xe)4f4 5d06s2
Promethium
Pm
61
(Xe)4f5 5d06s2
Samarium
Sm
62
(Xe)4f6 5d06s2
Europium
Eu
63
(Xe)4f7 5d06s2
Gadolinium
Gd
64
(Xe)4f7 5d16s2
Terbium
Tb
65
(Xe)4f9 5d06s2
Dysprosium
Dy
66
(Xe)4f10 5d06s2
Holmium
Ho
67
(Xe)4f11 5d06s2
Erbium
Er
68
(Xe)4f12 5d06s2
Thulium
Tm
69
(Xe)4f13 5d06s2
Ytterbium
Yb
70
(Xe)4f14 5d06s2
Lutetium
Lu
71
(Xe)4f14 5d16s2
The typical oxidation state of the lanthanides is +3. The oxidation state of +2 and +4 are exhibited by some of the elements. These are shown by those elements which by losing 2 or 4 elements acquire a stable configuration. +2 oxidation state is exhibited when the lanthanide has the configuration 5d06s2 so that 2 electrons are lost easily. Hence the members which will show +2 oxidation state are: +2 = 60Nd, 62Sm, 63Eu, 69Tm, 70Yb
+4 oxidation state is exhibited when the configuration left (by losing 2 electrons) is close to 4f0 (example 4f0 , 4f1, 4f2, 4f3) or close to 4f7 (example 4f7or 4f8) or close to 4f14 ( 4f13 or 4f14)
Hence, the members which will show +4 oxidation state are:
+4 = 58Ce, 59Pr, 60Nd, 65Tb, 66Dy
Note: Each case tends to revert to the more stable oxidation state of +3 by loss or gain of an electron. That is why Sm2+, Eu2+ and Yb2+ ions in solutions are good reducing agents and aqueous solution of Ce4+ and Tb4+ are good oxidizing agents.
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