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Heavy ions, γ-photons, fast electrons – all of them produce
low-energy secondary electrons in the medium
(γ: photoeffect, Compton-effect, pair production).
The good part of the electron energy is imparted to the
atoms/molecules of the medium via Coulomb interaction
,~,
, 3
rErE
vrvr
rE
tFourier
tt
et
Optical approximation– as if the medium were illuminated with white light.Hence: energy absorption is connected with optical absorption spectra.
Types, sources of radiation
α 210Po (E=5,3 MeV)
β 90Sr (Emax=2,18 MeV, <E>=0,765 MeV)
Accelerators: van de Graaff, LINAC, etc.
γ 60Co (E=1,1; 1,3 MeV, <E>=1,25 MeV)
Energy loss of a charged fast particle:
E
nMz
dx
dE
MI
Emn
m
M
E
ze
dx
dE
e
n
ee
e
2
2
24 4ln
8LET
0
Bragg-curve:Number of ions as a function of depth
Bragg-Gray : γ dose, measured in a thimble chamber
gáz
fal
gáz
fal
dxdE
dxdE
D
D
1
1
Ideal case – poliethylene thimble filled with ethylene gas
Absolute dosimetry:
Dose D coming from a volume element of the source,
reaching a volume element of the irradiated space
One must know the activity
of the source, then
must be integrated over source and
irradiated space.
r
2r
eAD
r
elementary
elementaryD
This was written in 1907. Ramsay thought it was a question of total energy. Others compared water radiolysis with electrolysis
Radolysis of water
Does this type of reaction scheme explain more than it was
devised to?
Effect of LET on the yields of radiaton chemical processes .
Diffusion controlled kinetics
Heavy ion Fast electron
trajectories observed in a cloud chamber
Radiolysis products are not distributed homogeneously –
hence diffusion, recombination and chemical reaction proceed
simultaneously and in interaction.
Radical diffusion theory
Neutral radicals, hence no Coulomb interaction.
Number of equations = number of radical types.
Coupled equations
LET effect due to different initial geometries.
jjijiri
i cckckcDt
ci
22
Highland Park, USA, 1951
Some suspicion: two types of „H-atoms”?
Pulse radiolysis (a sister of flash photolysis)Accelerators, with short and shorter pulse lengths are needed.
A not-too-modern equipment: Pune (India) 2006
The first spectrun of the hydrated electron (Hart and Boag, 1962)
As it was expected.
The first kinetic trace of the hydrated electron (Keene, 1963)
Chemistry of the hydrated electron
- The ideal of the reducing agent: no oxidised product left
- the perfect nucleophyilic partner
- very selective, in certain cases diffusion controlled rates
- previously unknown products, e.g.Ag0, Cu0
A naive model
(polaron in a dielectric
medium)
Hydrated Electrons in Water Clusters: Inside or Outside, Cavity or Noncavity? László Turi Department of Physical Chemistry, Eötvös Loránd University, P.O. Box 32, Budapest 112, H-1518 HungaryJ. Chem. Theory Comput., 2015, 11 (4), pp 1745–1755
Detour – in parenthesis
(Simultaneous diffusion and migration:
Markov-process Master equation Fokker-Planck equation:
c = concentration ; P = probability. But, as we know…)
xx Eu 2
2),(
x
c D
x
c u
t
txc x
})({2
1})({
),(221 PaPa
t
tPy
yy
y y
22
1
a
a
Is electron formation a particular wonder?Onsager problem: simultaneous ion migration and diffusion – with the result: recombination.
Steady state approximation
R
Iki
Ibe
RkTq
ouin
outescape e
II
IW 2
e
e
+
If so, complete ion-electron recombination would proceed.
Solvated electrons discovered in a good number of
polar liquids: alcohols, amines, ethers
Electron spectra:
Electron yields in a series of polar liquids: the effect of energy
fluctuations
Hydrated electron yield in supercooled water
Excess electrons in a number of non-polar liquids
Electron mobilities
Hel, Xel, n-hexane, neo-pentane χ[10-3, 103] cm2/Vs
Energy of the localized state: Et ;
Bottom of the conductivity band: V0
Et < V0 lokalizáció (buborék)
Localization probability, P, defined by energy fluctuation:
vt
xt CkT
EVx dteP 2202/2
2
1
Pf 1
Radiaton chemistry of organic molecules
R-CH2-CH2-R’ R-CH2· ·CH2-R’
R-CH2· + R-CH2-CH2-R’RCH3 + R-C·H-CH2-R’
H· + R-CH2-CH2-R’ H2+ R-C·H-CH2-R’
Generally speaking: bond cleavage and bond formation.
Main product usually H2
The failure of the organic moderated reactors.
But: chemistry of the nuclear reactors!!
β irradiation of oxidized iron surfaces, after that electrode
Impedance in aquoeus SO32- solution (hole capture).
Equivalent circuit:
Result:
Faraday process gets
faster due to irradiation
γ irradiation of carbon steels (Daub (2011)
Irradiation in aqueous solutions at different pH values
Ecorr= -0.65 V Ecorr= 0 V
SCE; pH 10,6
γ-Fe2O3 is formed upon
the irradiated surface.
Raman spectra for comparison
Hydrogen economy
Hydrogen from water.
Catalytic cycle:
2AB + 2H2O 2AH + 2BOH
2BOH 2B + ½O2 + H2O
2AH 2A + H2
2A + 2B 2AB
Low-temperature extotherm, and high-temperature endotherm
stages are desired.
High temperature is always needed!
Gas-cooled nuclear reactors?
For example: UT-3 Process
CaBr2 + H2O CaO + 2HBr [700 0C] CaO + Br2 CaBr2 + ½O2 [550 0C]
Fe3O4 + 8HBr 3FeBr2 + 4H2O + Br2 [250 0C] 3FeBr2 + 4H2O Fe3O4 + 6HBr + H2 [600 0C]
2C800
22 O2
36HCl3ClO3H
0
O9H6FeClO3Fe8HCl1 22C400C100
32
00
Another possibility:
243C600
22 2H12HClO2FeO8HFeCl60
32400
243 OFe3O2
1OFe2
0
C