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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)

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Page 1: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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Page 2: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 3: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Optical approximation– as if the medium were illuminated with white light.Hence: energy absorption is connected with optical absorption spectra.

Page 4: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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)

Page 5: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 6: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)
Page 7: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)
Page 8: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)
Page 9: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)
Page 10: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)
Page 11: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 12: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 13: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

This was written in 1907. Ramsay thought it was a question of total energy. Others compared water radiolysis with electrolysis

Radolysis of water

Page 14: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Does this type of reaction scheme explain more than it was

devised to?

Effect of LET on the yields of radiaton chemical processes .

Page 15: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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.

Page 16: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)
Page 17: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 18: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Highland Park, USA, 1951

Page 19: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Some suspicion: two types of „H-atoms”?

Page 20: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)
Page 21: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Pulse radiolysis (a sister of flash photolysis)Accelerators, with short and shorter pulse lengths are needed.

A not-too-modern equipment: Pune (India) 2006

Page 22: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

The first spectrun of the hydrated electron (Hart and Boag, 1962)

As it was expected.

Page 23: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

The first kinetic trace of the hydrated electron (Keene, 1963)

Page 24: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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)

Page 25: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 26: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 27: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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.

Page 28: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Solvated electrons discovered in a good number of

polar liquids: alcohols, amines, ethers

Electron spectra:

Page 29: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Electron yields in a series of polar liquids: the effect of energy

fluctuations

Page 30: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Hydrated electron yield in supercooled water

Page 31: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 32: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

Pf 1

Page 33: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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!!

Page 34: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 35: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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

Page 36: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

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?

Page 37: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

 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]  

Page 38: Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in the medium (γ: photoeffect, Compton-effect, pair production)

2C800

22 O2

36HCl3ClO3H

0

O9H6FeClO3Fe8HCl1 22C400C100

32

00

Another possibility:

243C600

22 2H12HClO2FeO8HFeCl60

32400

243 OFe3O2

1OFe2

0

C