.. Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in...

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Transcript of .. Heavy ions, γ-photons, fast electrons – all of them produce low-energy secondary electrons in...

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