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1
Dr.S.RADHA
Assistant Professor of Chemistry
Saiva Bhanu Kshatriya College
Aruppukottai
UNIT-5
f-BLOCK ELEMENTS
Gd
Gd
Eu
2
Pedagogical objective
FF
4f4f
5f5f
1 21 2 3 4 5 6 7 83 4 5 6 7 8
SS PP
DD
3d3d
4d4d
5d5d
6d6d
11
22
33
44
55
66
77
• Overview of f-elements
properties, with
reference to their uses
in daily life and high
technology applications
• Mainly focused on
4f-elements
Pre-requisites
Coordination chemistry
Quantum chemistry
3
1.1 Definitions and discovery
1.2 Occurrence of 4f elements
1.3 Basic properties
1.3.1 Electronic configuration
1.3.2 Oxidation states of 4f elements
1.3.3 Oxidation states of 5f elements
1.4 Radioactivity of 5f elements
Table of Contents
Nuclear fuel
rod assembly
Particle filter
for Diesel exhaust
gases
4
f-Block Elements
1.1 Definitions and discovery
Lanthanides: 58-71 Ln
Actinides: 90-103 An
Parent elements La and Ac often included in Ln and An
Rare earths: Sc, Y, La + Ce-Lu
Discovery of rare earths
1794 (Y) – 1947 (Pm)
Discovery of actinides
1789 (U) – 1971 (Lr)
Naturally occurring: Ac, Th, Pa, U, (Np, Pu)
5
1.1 The discovery of 4f-elements
rare earths
actinides
Yttrium was discovered in 1794 by Johan Gadolin, in Åbo (Turku)
4f
5f
lanthanides: Ce-Lu
lanthanoids: La-Lu
6
1787 Carl Axel Arrhenius, an artillery lieutenant and
amateur geologist, finds a black mineral in a quarry
near Ytterby, 30 km from Stockholm.
1788 B. R. Geijer (Stockholm) describes the mineral
(d = 4.2) and names it ytterbite, presently known
as gadolinite, with formula Be2FeY2SiO10.
1792 J. Gadolin (1760-1852) studies the mineral and
publishes a 19-page report in 1794 in the
Proceedings of the Royal Swedish Academy of
Sciences, concluding to the presence of a new
“earth”, which he names yttrium.
Discovery of yttrium (1794)
Subsequent work revealed that yttrium contained the oxides of 10
other elements.
7
HNO3 / HCl
SiO2Fe3+, Be2+, Y3+
K2CO3, pH = 4-5
O2, H2O
Fe(OH)3
Y3+
NH3, pH = 7-8
Y(OH)3
Be2FeY2SiO10
Johan Gadolin, 1794
Chemical separation
of yttrium
Be(OH)2,FeCO3
taken as Al
8
1751 The mineralogist Cronstedt finds a peculiar heavy stone
near Batnäs.
1803 W. Hisinger and J. J. Berzelius analyse this stone and
find it contains an unknown “earth” they name ceria
after the recently discovered planet Ceres. Their
finding is published in 1804 in a 24-page report and
confirmed by the German chemist Klaproth.
The silicate material has a variable composition close
to (Ce,La)3MIIH3Si3O13 and is presently named cerite
(M = Ca, Fe).
Discovery of cerium (1804)
9
Most of the other rare earths have been discovered by further
analysing the two initial minerals, gadolinite and cerite.
The main techniques were fractional precipitation and
crystallisation, as well as flame spectroscopy (absorption and
emission).
These operations were tedious: for instance, 20 tons were
needed to produce 82 mg of element 61 by ion-exchange
separation techniques (61 = radioactive promethium), that is a
fraction equal to 4x10-12 !)
Other rare earths (1839-1947)
10
1.2 Occurrence of
4f elements Abundance in cosmos
relative to silicon:
Si = 106
La-Lu
The elements are “rare”
but not rarer than many
others, such as Au, Pt,
Pd, Rh, for instance
11
Natural abundance
Abundance in earth’s crust
expressed in ppm (g/ton)
La
Ce
Nd
Pr
Sm Gd
Eu Tb
Dy Er
Ho Tm
Yb
Lu
Odd/even effect
56 58 60 62 64 66 68 70 72
0
10
20
30
40
50
0
10
20
30
40
50
Atomic number
12
Cerium group (lighter elements)
Bastnasite Ln(CO3)F 65-70%
Monazite LnPO4 50-75%
Cerite (Ce,La)3MIIH3Si3O13 50-70%
Yttrium group (heavier elements)
Xenotime LnPO4 55-65%
Gadolinite Ln2M3Si2O10 35-50%
Euxenite Ln(Nb,Ta)TiO6xH2O 15-35%
Main resources (4f elements)
13
Main resources
World resources are estimated to 83 million metric tons
for a present usage of about 40’000 metric tons a year
China 50 % (?)
Russia 25 % (?)
USA 10 %
Australia 5 %
Other 10 %
Baotou (Inner
Mongolia)
14
Applications of 4f-elements
• Catalysts
- cracking of hydrocarbons
- conversion of exhaust gases (gasoline and diesel)
• Metallurgy
- Steel production (removal of O, S)
- Nodular graphite
- Hardener (e.g. in magnesium)
• Materials
- High temperature superconducting ceramics
- Electronic devices (capacitors, O2-sensors)
- Magnets (Sm5Co, Nd5Fe)
- Neutron moderators in nuclear reactors
- Hydrogen storage with metal hydrides
15
CeO2
Gaz
filtrés
Gas produced by
the engine
Gas filtration
Soot
particles
CeO2
EOLYS®
Soot emission of Diesel
engines reduced by 99.9 %
16
• Optics and lighting
- Polishing powders
- Protection against sun (sunglasses)
- Lasers, particularly Nd YAG
- Phosphors for displays (incl. electrolumin. displays)
- Fluorescent lamps
• Medicine
- Seasickness (Ce oxalate), thromboses (Nd oxalate)
- Renal insufficiency (La2(CO3)3
.4H2O)
- X-ray intensifying screens
- NMR imaging
- Cancer radio- and photo-therapy
- Laser surgery (Nd YAG laser)
- Luminescent immunoassays
• Science
- Shift reagents, luminescent and magnetic probes
- Catalysts for organic chemistry
17
fluorescent lamps
Er amplifier
for optical fibers rechargeable batteries
18
pigments
Re-inforced
cast Al pistons
MRI images
19
1.3 Basic properties
1.3.1 Electronic configuration
4f-orbitals
x(x2–3y2)
y(3x2–y2) z(x2–y2)xyz
xz2 yz2 z3
20
4f-orbitals (in octahedral symmetry)
xy
z
z3 y3 x3
xyz
z(x2-y2) y(z2-x2) x(z2-y2)
T2u
T1u
A2u
21
22
23
24
25
26
• Sc, Y and La introduce the 3d, 4d and 5d transition
series: nd1(n+1)s2 n=3 (Sc), 4 (Y) and 5 (La)
• The energy of the 4f orbitals decreases abruptly
beyond La: -0.95 eV for La, -5 eV for Nd !
which leads to the filling of the 4f shell
• The 4f orbitals lie outside the Xe electronic structure
for La, but inside the Xe electronic structure for the
other Ln elements
Lanthanides
Actinides
• Similarly, the 5f orbitals are also “inner orbitals”
27
inner nature of
4f (Nd3+) and
5f (U3+) orbitals
28
Ln0 4fN-1 5d1 6s2
La, Ce, Gd, Lu
4fN 6s2
Pr-Eu,Tb-Yb
1.3.2 Oxidation states
of 4f elements
LnII 4fN-1 5d1
La, Gd
4fN
Ce-Eu, Tb-Yb
4fN-1 6s1
Lu
LnIII 4fN-1 (no exception)
29
55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73
-2.2
-2.3
-2.4
-2.5
-2.6
-2.7
atomic number
Volts
Eo
red : Ln3+(aq) + 3 e- D Ln(s)
La
Tb
Lu
• The more stable oxidation state of Ln is +3
Oxidation states of 4f elements
Y (Z = 39)
Sc (Z = 21, E o
red = -2.08 V )
30
Explanation:
Upon ionization, all of the valence orbitals (4f, 5d, 6s)
are stabilized, but to variable degrees.
4f orbitals are stabilized most and 6s least.
After removal of three electrons, the remaining are very
tightly bound
Main reason: the fourth ionization energy is larger
than the sum of the first three ones;
this extra energy cannot, in most cases,
be compensated by bond formation
31
Ce Pr Pm Nd Sm Eu Gd Tb Dy Ho Er Tm Yb Lu
3400
3600
3800
4000
4200
4400
4600I/kJmol
-1
I4
I1 + I2 + I3
32
• Ce, Pr, Nd and Tb may have +4 oxidation state
E 0
red for Ln4+(aq) + e- D Ln3+(aq) in acidic solutions:
+1.72 V for Ce4+, stable in water
+3.20 V for Pr4+, oxidizes water
+3.10 V for Tb4+, oxidizes water
• Sm, Eu, and Yb have a relatively stable +2 state
E 0
red for Ln3+(aq) + e- D Ln2+(aq) in acidic solutions:
-0.35 V for Eu2+, stable in water
-1.15 V for Yb2+, reduces water
-1.56 V for Sm2+, reduces water
Oxidation states of 4f elements
33
La Ce Pr NdSm Eu Gd Tb Dy Ho Er Tm Yb
-5.0
-4.5
-4.0
-3.5
-3.0
-2.5
-2.0
-1.5
-1.0
-0.5
0.0
E
0
red
/V
Ln3+ + e- D Ln2+ In water
In thf
Calculated
-0.83
34
Ce Pr Pm Nd Sm Eu Gd Tb Dy Ho Er Tm Yb Lu
1900
2000
2100
2200
2300
2400
2500
I3/kJmol
-1
I3
LuII 4f145d1
YbII 4f14
GdII 4f75d1
EuII 4f7
35
Ionic radii: lanthanide contraction
56 58 60 62 64 66 68 70 72
1.00
1.05
1.10
1.15
1.20
1.25
Ca
II
: 1.18 Å
Sr
II
: 1.31 Å
Ionic radii, CN = 9
0.18 Å
Lu
Gd
La
Z
ri
/ Å
36
Ionic radii: variation with coordination number CN
6 7 8 9 10 11 12
0.8
0.9
1.0
1.1
1.2
1.3
1.4
Ca
II
Eu
III
Yb
III
La
III
CN
ri
/ Å
37
56 58 60 62 64 66 68 70 72
1.70
1.75
1.80
1.85
1.90
1.95
2.00
2.05
2.10
La
Ce Pr Nd PmSm
Eu
Gd
Tb Dy Ho Er Tm
Yb
Lu
atomic number
Oxidation states in the 4f metals
Atomic radii / Å
for CN = 12
+3
+2
38
1.3.3 Oxidation states of 5f elements An
common
other
solid state only
Th Pa U Np Pu AmCm Bk Cf Es Fm Md No Lr
2
3
4
5
6
7
Formaloxidationstate
39
• The stability of AnIV decreases along the series
Quite stable for Th, Pa, U, Np.
Only found in solution with fluoride for Am, Cm, Bk
The drop in E0 (An4+/An3+) at Bk reflects the stability
of [Rn]5f7 (BkIV).
• The trend in E0 (An3+/An2+) parallels the one in
E0 (An4+/An3+).
The stability of AnII increases across the series.
Note that the discontinuity appears at Cm, reflecting
the stability of [Rn]5f7 (CmIII).
• The greater range of oxidation numbers of An elements
compared with Ln is due to the nature of 5f orbitals
40
Ac Th Pa U Np Pu AmCm Bk Cf Es FmMd No Lr
0
500
1000
1500
2000
2500
3000
3500
4000
4500I/kJmol
-1
I4
I3
I2
I1
41
Reduction potentials of 5f elements
E0 / V8
6
4
2
0
-2
-4
-6
An3+ / An2+
An4+ / An3+
Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr
[Rn]4f7
42
Influence of relativity on f-orbitals


0
2
1 ( )
m
m
v
c
mass of a particle moving
with velocity v
For U(1s) : m = 1.35m0, leads to contraction of 1s
On the contrary d and f orbitals are expanded and destabilized.
5f orbitals are more destabilized than 4f; they are more weakly
bound and more chemically active, henceforth the larger range of
oxidation numbers (and, also, larger covalency of the bonds)
Effects are important for heavy elements
43
Ionic radii: actinide contraction
Th Pa U Np Pu Am Cm Bk Cf Es
65
70
75
80
85
90
95
100
105
110
115
An3+
An4+
An5+
r / pm
44
1.4 Radioactivity of the actinides
All of the An isotopes are radioactive, mostly a emitters.
Z El. A t1/2 (* b-, EC) Z El. A t1/2
90 Th 232 1.401010 y 96 Cm 244 18.11 y
91 Pa 231 3.25104 y 97 Bk 247 1.38103 y
92 U 235 7.04108 y 98 Cf 249 351 y
238 4.47109 y 99 Es 252 472 d
93 Np 236 1.55105 y* 100 Fm 257 100.5 d
94 Pu 239 2.41104 y 101 Md 258 56 d
244 8.26107 y 102 No 259 1 h (a + EC)
95 Am 241 4.32102 y 103 Lr 262 3.6 h
45
Nuclear fission
235
92U
1
0n
91
36Kr
142
36Ba
A large nucleus is split into two smaller (and more stable)
ones by collision with a thermal neutron.
The process releases several neutrons, which in turn
collide with other nuclei, initiating “chain reaction”,
provided a “critical mass” exists, i.e. a minimum amount of
the fissile product.
thermal neutron
ca. 2 kJmol-1
46
The nucleus mass is smaller than the sum of the masses of its
constituting particles (neutrons, protons), due to the nuclear forces.
Henceforth the concept of “cohesion energy”, usually given per
nucleon:
1 MeV =
1.6´10-13 J
Kr
Ba
fission
fusion
47
Nuclear power generation
Control rods
Fuel rods
Best natural isotope: 235U
Natural abundance: 0.72 %,
henceforth the need for
enrichment.
Fuel: UO2 enriched to 2-3%
235U, under the form of
pellets stuffed into Zr tubes
Cooling fluid
(H2O, D2O)
Steam
Control rods: boron nitride or
graphite (absorb neutrons)
The cooling fluid also acts as
moderator, slowing down the
produced neutrons (boric acid
added).
48
• Gaseous diffusion of UF6 through Al or Ni membranes
(pore size 10-25 nm). Graham’s law:
3000 passes needed (large and expensive fluorine-
resistant chemical plants) for 90% enrichment
Isotope separation
1
MW
diffv 
• Centrifugation of UF6 (238UF6 concentrates near the
walls)
• Laser separation (now abandoned)
Ionization energy of 235U slightly different from 238U
Laser with wavelength tuned for ionizing 235U produces
235U+ which is collected on an electrode
235
6
238
6
( UF ) 352
1 0043
( UF ) 349
diff
diff
v
.
v
a   
49
Fuel reprocessing and treatment
1st stage: extraction of U and Pu
238 1 239 239 0 -
92 0 92 93 -1 1/2
239 0 -
93 -1 1
39
9 /2
2
4
U + n U Np + e ( ,t 24 min)
Np + e (Pu ,t 2 4 days).
  b 
 b 
238U produces 239Pu, which can also be used as fuel
TBP extraction
in kerosene (PUREX)
HNO3 7 M
nitrates
Other fission
products + An
[UO2(NO3)2(TBP)2]
[Pu(NO3)4(TBP)2
Np
50
[UO2(NO3)2(TBP)2]
[Pu(NO3)4(TBP)2
FeII
PuIII(aq)[UO2(NO3)2(TBP)2]
UO3
UO2
H2
PUREX Plutonium-Uranium
Refining by EXtraction
HNO2
PuIV(aq)
oxalic acid
300 oC
PuO2
51
2nd stage: separation of radioactive wastes
1000 kg irradiated fuel
957 kg U
10 kg Pu
0.8 kg minor
actinides
33 kg fission
products
Np, Am, Cm Zr 3.6 kg
Cs 2.7 kg
Tc 0.8 kg
Sm 0.8 kg
Se, Sn, I 0.3 kg
Radioactive Xe, 3H2
Other non radioactive
24.8 kg
of which
2 kg
radioactive320 g
420 g 30 g
52
Other fission
products DIAMEX
Am, Cm, Ln
AmIII, CmIII
LnIII(aq)
Glass
SANEX
Selective Actinide
EXtraction
Am Cm
N
N
N
N
NN

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f block elements

  • 1. 1 Dr.S.RADHA Assistant Professor of Chemistry Saiva Bhanu Kshatriya College Aruppukottai UNIT-5 f-BLOCK ELEMENTS Gd Gd Eu
  • 2. 2 Pedagogical objective FF 4f4f 5f5f 1 21 2 3 4 5 6 7 83 4 5 6 7 8 SS PP DD 3d3d 4d4d 5d5d 6d6d 11 22 33 44 55 66 77 • Overview of f-elements properties, with reference to their uses in daily life and high technology applications • Mainly focused on 4f-elements Pre-requisites Coordination chemistry Quantum chemistry
  • 3. 3 1.1 Definitions and discovery 1.2 Occurrence of 4f elements 1.3 Basic properties 1.3.1 Electronic configuration 1.3.2 Oxidation states of 4f elements 1.3.3 Oxidation states of 5f elements 1.4 Radioactivity of 5f elements Table of Contents Nuclear fuel rod assembly Particle filter for Diesel exhaust gases
  • 4. 4 f-Block Elements 1.1 Definitions and discovery Lanthanides: 58-71 Ln Actinides: 90-103 An Parent elements La and Ac often included in Ln and An Rare earths: Sc, Y, La + Ce-Lu Discovery of rare earths 1794 (Y) – 1947 (Pm) Discovery of actinides 1789 (U) – 1971 (Lr) Naturally occurring: Ac, Th, Pa, U, (Np, Pu)
  • 5. 5 1.1 The discovery of 4f-elements rare earths actinides Yttrium was discovered in 1794 by Johan Gadolin, in Åbo (Turku) 4f 5f lanthanides: Ce-Lu lanthanoids: La-Lu
  • 6. 6 1787 Carl Axel Arrhenius, an artillery lieutenant and amateur geologist, finds a black mineral in a quarry near Ytterby, 30 km from Stockholm. 1788 B. R. Geijer (Stockholm) describes the mineral (d = 4.2) and names it ytterbite, presently known as gadolinite, with formula Be2FeY2SiO10. 1792 J. Gadolin (1760-1852) studies the mineral and publishes a 19-page report in 1794 in the Proceedings of the Royal Swedish Academy of Sciences, concluding to the presence of a new “earth”, which he names yttrium. Discovery of yttrium (1794) Subsequent work revealed that yttrium contained the oxides of 10 other elements.
  • 7. 7 HNO3 / HCl SiO2Fe3+, Be2+, Y3+ K2CO3, pH = 4-5 O2, H2O Fe(OH)3 Y3+ NH3, pH = 7-8 Y(OH)3 Be2FeY2SiO10 Johan Gadolin, 1794 Chemical separation of yttrium Be(OH)2,FeCO3 taken as Al
  • 8. 8 1751 The mineralogist Cronstedt finds a peculiar heavy stone near Batnäs. 1803 W. Hisinger and J. J. Berzelius analyse this stone and find it contains an unknown “earth” they name ceria after the recently discovered planet Ceres. Their finding is published in 1804 in a 24-page report and confirmed by the German chemist Klaproth. The silicate material has a variable composition close to (Ce,La)3MIIH3Si3O13 and is presently named cerite (M = Ca, Fe). Discovery of cerium (1804)
  • 9. 9 Most of the other rare earths have been discovered by further analysing the two initial minerals, gadolinite and cerite. The main techniques were fractional precipitation and crystallisation, as well as flame spectroscopy (absorption and emission). These operations were tedious: for instance, 20 tons were needed to produce 82 mg of element 61 by ion-exchange separation techniques (61 = radioactive promethium), that is a fraction equal to 4x10-12 !) Other rare earths (1839-1947)
  • 10. 10 1.2 Occurrence of 4f elements Abundance in cosmos relative to silicon: Si = 106 La-Lu The elements are “rare” but not rarer than many others, such as Au, Pt, Pd, Rh, for instance
  • 11. 11 Natural abundance Abundance in earth’s crust expressed in ppm (g/ton) La Ce Nd Pr Sm Gd Eu Tb Dy Er Ho Tm Yb Lu Odd/even effect 56 58 60 62 64 66 68 70 72 0 10 20 30 40 50 0 10 20 30 40 50 Atomic number
  • 12. 12 Cerium group (lighter elements) Bastnasite Ln(CO3)F 65-70% Monazite LnPO4 50-75% Cerite (Ce,La)3MIIH3Si3O13 50-70% Yttrium group (heavier elements) Xenotime LnPO4 55-65% Gadolinite Ln2M3Si2O10 35-50% Euxenite Ln(Nb,Ta)TiO6xH2O 15-35% Main resources (4f elements)
  • 13. 13 Main resources World resources are estimated to 83 million metric tons for a present usage of about 40’000 metric tons a year China 50 % (?) Russia 25 % (?) USA 10 % Australia 5 % Other 10 % Baotou (Inner Mongolia)
  • 14. 14 Applications of 4f-elements • Catalysts - cracking of hydrocarbons - conversion of exhaust gases (gasoline and diesel) • Metallurgy - Steel production (removal of O, S) - Nodular graphite - Hardener (e.g. in magnesium) • Materials - High temperature superconducting ceramics - Electronic devices (capacitors, O2-sensors) - Magnets (Sm5Co, Nd5Fe) - Neutron moderators in nuclear reactors - Hydrogen storage with metal hydrides
  • 15. 15 CeO2 Gaz filtrés Gas produced by the engine Gas filtration Soot particles CeO2 EOLYS® Soot emission of Diesel engines reduced by 99.9 %
  • 16. 16 • Optics and lighting - Polishing powders - Protection against sun (sunglasses) - Lasers, particularly Nd YAG - Phosphors for displays (incl. electrolumin. displays) - Fluorescent lamps • Medicine - Seasickness (Ce oxalate), thromboses (Nd oxalate) - Renal insufficiency (La2(CO3)3 .4H2O) - X-ray intensifying screens - NMR imaging - Cancer radio- and photo-therapy - Laser surgery (Nd YAG laser) - Luminescent immunoassays • Science - Shift reagents, luminescent and magnetic probes - Catalysts for organic chemistry
  • 17. 17 fluorescent lamps Er amplifier for optical fibers rechargeable batteries
  • 19. 19 1.3 Basic properties 1.3.1 Electronic configuration 4f-orbitals x(x2–3y2) y(3x2–y2) z(x2–y2)xyz xz2 yz2 z3
  • 20. 20 4f-orbitals (in octahedral symmetry) xy z z3 y3 x3 xyz z(x2-y2) y(z2-x2) x(z2-y2) T2u T1u A2u
  • 21. 21
  • 22. 22
  • 23. 23
  • 24. 24
  • 25. 25
  • 26. 26 • Sc, Y and La introduce the 3d, 4d and 5d transition series: nd1(n+1)s2 n=3 (Sc), 4 (Y) and 5 (La) • The energy of the 4f orbitals decreases abruptly beyond La: -0.95 eV for La, -5 eV for Nd ! which leads to the filling of the 4f shell • The 4f orbitals lie outside the Xe electronic structure for La, but inside the Xe electronic structure for the other Ln elements Lanthanides Actinides • Similarly, the 5f orbitals are also “inner orbitals”
  • 27. 27 inner nature of 4f (Nd3+) and 5f (U3+) orbitals
  • 28. 28 Ln0 4fN-1 5d1 6s2 La, Ce, Gd, Lu 4fN 6s2 Pr-Eu,Tb-Yb 1.3.2 Oxidation states of 4f elements LnII 4fN-1 5d1 La, Gd 4fN Ce-Eu, Tb-Yb 4fN-1 6s1 Lu LnIII 4fN-1 (no exception)
  • 29. 29 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 atomic number Volts Eo red : Ln3+(aq) + 3 e- D Ln(s) La Tb Lu • The more stable oxidation state of Ln is +3 Oxidation states of 4f elements Y (Z = 39) Sc (Z = 21, E o red = -2.08 V )
  • 30. 30 Explanation: Upon ionization, all of the valence orbitals (4f, 5d, 6s) are stabilized, but to variable degrees. 4f orbitals are stabilized most and 6s least. After removal of three electrons, the remaining are very tightly bound Main reason: the fourth ionization energy is larger than the sum of the first three ones; this extra energy cannot, in most cases, be compensated by bond formation
  • 31. 31 Ce Pr Pm Nd Sm Eu Gd Tb Dy Ho Er Tm Yb Lu 3400 3600 3800 4000 4200 4400 4600I/kJmol -1 I4 I1 + I2 + I3
  • 32. 32 • Ce, Pr, Nd and Tb may have +4 oxidation state E 0 red for Ln4+(aq) + e- D Ln3+(aq) in acidic solutions: +1.72 V for Ce4+, stable in water +3.20 V for Pr4+, oxidizes water +3.10 V for Tb4+, oxidizes water • Sm, Eu, and Yb have a relatively stable +2 state E 0 red for Ln3+(aq) + e- D Ln2+(aq) in acidic solutions: -0.35 V for Eu2+, stable in water -1.15 V for Yb2+, reduces water -1.56 V for Sm2+, reduces water Oxidation states of 4f elements
  • 33. 33 La Ce Pr NdSm Eu Gd Tb Dy Ho Er Tm Yb -5.0 -4.5 -4.0 -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.0 E 0 red /V Ln3+ + e- D Ln2+ In water In thf Calculated -0.83
  • 34. 34 Ce Pr Pm Nd Sm Eu Gd Tb Dy Ho Er Tm Yb Lu 1900 2000 2100 2200 2300 2400 2500 I3/kJmol -1 I3 LuII 4f145d1 YbII 4f14 GdII 4f75d1 EuII 4f7
  • 35. 35 Ionic radii: lanthanide contraction 56 58 60 62 64 66 68 70 72 1.00 1.05 1.10 1.15 1.20 1.25 Ca II : 1.18 Å Sr II : 1.31 Å Ionic radii, CN = 9 0.18 Å Lu Gd La Z ri / Å
  • 36. 36 Ionic radii: variation with coordination number CN 6 7 8 9 10 11 12 0.8 0.9 1.0 1.1 1.2 1.3 1.4 Ca II Eu III Yb III La III CN ri / Å
  • 37. 37 56 58 60 62 64 66 68 70 72 1.70 1.75 1.80 1.85 1.90 1.95 2.00 2.05 2.10 La Ce Pr Nd PmSm Eu Gd Tb Dy Ho Er Tm Yb Lu atomic number Oxidation states in the 4f metals Atomic radii / Å for CN = 12 +3 +2
  • 38. 38 1.3.3 Oxidation states of 5f elements An common other solid state only Th Pa U Np Pu AmCm Bk Cf Es Fm Md No Lr 2 3 4 5 6 7 Formaloxidationstate
  • 39. 39 • The stability of AnIV decreases along the series Quite stable for Th, Pa, U, Np. Only found in solution with fluoride for Am, Cm, Bk The drop in E0 (An4+/An3+) at Bk reflects the stability of [Rn]5f7 (BkIV). • The trend in E0 (An3+/An2+) parallels the one in E0 (An4+/An3+). The stability of AnII increases across the series. Note that the discontinuity appears at Cm, reflecting the stability of [Rn]5f7 (CmIII). • The greater range of oxidation numbers of An elements compared with Ln is due to the nature of 5f orbitals
  • 40. 40 Ac Th Pa U Np Pu AmCm Bk Cf Es FmMd No Lr 0 500 1000 1500 2000 2500 3000 3500 4000 4500I/kJmol -1 I4 I3 I2 I1
  • 41. 41 Reduction potentials of 5f elements E0 / V8 6 4 2 0 -2 -4 -6 An3+ / An2+ An4+ / An3+ Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr [Rn]4f7
  • 42. 42 Influence of relativity on f-orbitals   0 2 1 ( ) m m v c mass of a particle moving with velocity v For U(1s) : m = 1.35m0, leads to contraction of 1s On the contrary d and f orbitals are expanded and destabilized. 5f orbitals are more destabilized than 4f; they are more weakly bound and more chemically active, henceforth the larger range of oxidation numbers (and, also, larger covalency of the bonds) Effects are important for heavy elements
  • 43. 43 Ionic radii: actinide contraction Th Pa U Np Pu Am Cm Bk Cf Es 65 70 75 80 85 90 95 100 105 110 115 An3+ An4+ An5+ r / pm
  • 44. 44 1.4 Radioactivity of the actinides All of the An isotopes are radioactive, mostly a emitters. Z El. A t1/2 (* b-, EC) Z El. A t1/2 90 Th 232 1.401010 y 96 Cm 244 18.11 y 91 Pa 231 3.25104 y 97 Bk 247 1.38103 y 92 U 235 7.04108 y 98 Cf 249 351 y 238 4.47109 y 99 Es 252 472 d 93 Np 236 1.55105 y* 100 Fm 257 100.5 d 94 Pu 239 2.41104 y 101 Md 258 56 d 244 8.26107 y 102 No 259 1 h (a + EC) 95 Am 241 4.32102 y 103 Lr 262 3.6 h
  • 45. 45 Nuclear fission 235 92U 1 0n 91 36Kr 142 36Ba A large nucleus is split into two smaller (and more stable) ones by collision with a thermal neutron. The process releases several neutrons, which in turn collide with other nuclei, initiating “chain reaction”, provided a “critical mass” exists, i.e. a minimum amount of the fissile product. thermal neutron ca. 2 kJmol-1
  • 46. 46 The nucleus mass is smaller than the sum of the masses of its constituting particles (neutrons, protons), due to the nuclear forces. Henceforth the concept of “cohesion energy”, usually given per nucleon: 1 MeV = 1.6´10-13 J Kr Ba fission fusion
  • 47. 47 Nuclear power generation Control rods Fuel rods Best natural isotope: 235U Natural abundance: 0.72 %, henceforth the need for enrichment. Fuel: UO2 enriched to 2-3% 235U, under the form of pellets stuffed into Zr tubes Cooling fluid (H2O, D2O) Steam Control rods: boron nitride or graphite (absorb neutrons) The cooling fluid also acts as moderator, slowing down the produced neutrons (boric acid added).
  • 48. 48 • Gaseous diffusion of UF6 through Al or Ni membranes (pore size 10-25 nm). Graham’s law: 3000 passes needed (large and expensive fluorine- resistant chemical plants) for 90% enrichment Isotope separation 1 MW diffv  • Centrifugation of UF6 (238UF6 concentrates near the walls) • Laser separation (now abandoned) Ionization energy of 235U slightly different from 238U Laser with wavelength tuned for ionizing 235U produces 235U+ which is collected on an electrode 235 6 238 6 ( UF ) 352 1 0043 ( UF ) 349 diff diff v . v a   
  • 49. 49 Fuel reprocessing and treatment 1st stage: extraction of U and Pu 238 1 239 239 0 - 92 0 92 93 -1 1/2 239 0 - 93 -1 1 39 9 /2 2 4 U + n U Np + e ( ,t 24 min) Np + e (Pu ,t 2 4 days).   b   b  238U produces 239Pu, which can also be used as fuel TBP extraction in kerosene (PUREX) HNO3 7 M nitrates Other fission products + An [UO2(NO3)2(TBP)2] [Pu(NO3)4(TBP)2 Np
  • 51. 51 2nd stage: separation of radioactive wastes 1000 kg irradiated fuel 957 kg U 10 kg Pu 0.8 kg minor actinides 33 kg fission products Np, Am, Cm Zr 3.6 kg Cs 2.7 kg Tc 0.8 kg Sm 0.8 kg Se, Sn, I 0.3 kg Radioactive Xe, 3H2 Other non radioactive 24.8 kg of which 2 kg radioactive320 g 420 g 30 g
  • 52. 52 Other fission products DIAMEX Am, Cm, Ln AmIII, CmIII LnIII(aq) Glass SANEX Selective Actinide EXtraction Am Cm N N N N NN