The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva...
-
Upload
emmeline-gulliver -
Category
Documents
-
view
220 -
download
3
Transcript of The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva...
![Page 1: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/1.jpg)
The use of Small Angle Neutron Scattering in the study of porosity
in reactor graphites.
Z. Mileeva1, D.K. Ross1, D.L. Roach1, D. Wilkinson1, S.King2, A.Jones3 and B.J.Marsden3
1Materials & Physics Research Centre, University of Salford, UK2ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot Oxon OX11 0Q
3Nuclear Graphite Research Group, Materials Performance Centre, Pariser Building, Room C3 The University of Manchester M13 9PL
UNTF 2011, 11-13 April, The University of Huddersfield
University of SalfordMaterials & Physics Research Centre
![Page 2: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/2.jpg)
Fundamentals Fundamentals of NuclearNuclear Graphite
Graphite is a primary nuclear component, acting as moderator and major structural component for 90% of current UK nuclear capacity and future international High Temperature gas-cooled Reactors (HTRs) capable of operating for 60–100 years.
http://www.nuclear-graphite.org.uk/
University of SalfordMaterials & Physics Research Centre
The prediction of radiation damage in reactor grade graphites has become a matter of considerable importance as it determines the operational lifetime of AGR reactors. It is increasingly recognised that the standard model for the radiation damage of reactor graphite - which was originally established in the 1970s - variances with the situation in practice (eg. it does not seem to predict the rate of crack development correctly).
![Page 3: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/3.jpg)
Small Angle Neutron Scattering
University of SalfordMaterials & Physics Research Centre
SANS measures the FT of the Scattering Density–Density Correlation Function.The scattering intensity (or the number of neutrons of wavelength, λ, /unit time/unit solid angle, scattered by a sample into a detector with wave vector transfer, Q) is given by:
I(λ,Q) = I0(λ) ΔΩ η(λ) T V dσ/dΩ(Q)
inci
dent
flu
x
Sol
id a
ngle
ele
men
t
dete
ctor
eff
icie
ncy
sam
ple
tran
smis
sion
sam
ple
volu
me differential
scattering cross-section
Neutron beam hits the sample and then is scattered. The obtained diffraction pattern on a 3He detector then can be analysed.
inci
dent
flu
x
Sol
id a
ngle
ele
men
t
dete
ctor
eff
icie
ncy
sam
ple
volu
me differential
scattering cross-section
![Page 4: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/4.jpg)
Contrast Matching
University of SalfordMaterials & Physics Research Centre
The crucial term is the differential scattering cross section which can be written in terms of the neutron scattering length density in the carbon, δc and the scattering density in the pore of δp:
dσ/dΩ(Q) = NpVp2 (δc - δp)2 S(Q) f2(Q) + Binc
solid state
opened pore filled with
liquid
![Page 5: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/5.jpg)
Contrast Matching
University of SalfordMaterials & Physics Research Centre
By variation the isotope content in the toluene liquid we effectively change the scattering length density of the mixture. Thus the scattering intensity must follow parabolic behaviour with the change of isotope content.
dσ/dΩ(Q) = NpVp2 (δc - δp)2 S(Q) f2(Q) + Binc
100% h-toluene
100% d-toluene
80% d-toluene
ˣ10-6 ˣ10-6
![Page 6: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/6.jpg)
Contrast Matching Data and Q-dependence Density
University of SalfordMaterials & Physics Research Centre
Substance
SLD, ×10-6 Å-2
h-toluene 0,9424
d-toluene 5,654
graphite 7,5584
![Page 7: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/7.jpg)
Fractal bahaviour of Activated Carbon
University of SalfordMaterials & Physics Research Centre
Basic SANS signal (empty carbon) shows two distinct fractal region:Low Q feature - is due to the basic carbon before activation
High Q feature - is due to the activation process
![Page 8: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/8.jpg)
Study of pore connectivity with partial pressure variation of matching liquid
University of SalfordMaterials & Physics Research Centre
Fully saturated D -to luene
![Page 9: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/9.jpg)
SANS on reactor graphites
University of SalfordMaterials & Physics Research Centre
The scattering from unirradiated sample falls clearly into two distinct linear regions.The gradients are then respectively -2.86 at low Q and -3.46 at higher Q. On the basis of the established behavior of scattering from fractal systems, we could associate the low Q behavior with a volume fractal and the higher Q behavior with a surface fractal.
![Page 10: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/10.jpg)
SANS on reactor graphites.
University of SalfordMaterials & Physics Research Centre
Irradiated sample data remarkably has changed to give a good linear behavior for the full Q range measured with a gradient of -2.075, a volume fractal.The scattering from the surface seems to have been suppressed. The obvious conclusion is that the irradiation process has reduced the surface area.
![Page 11: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/11.jpg)
SANS on reactor graphites
University of SalfordMaterials & Physics Research Centre
![Page 12: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/12.jpg)
Measurements on Magnox graphite using the LOQ, ISIS
University of SalfordMaterials & Physics Research Centre
PGA graphite was produced by extruding needle coke and thus it is characterized by strong preferred orientation. In order to study this, we used two samples, one cut with the short dimension parallel to the extrusion direction and one with the extrusion direction normal to the short dimension. Contour plots of the resulting data are shown above.
![Page 13: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/13.jpg)
Measurements on Magnox graphite using the LOQ, ISIS
University of SalfordMaterials & Physics Research Centre
For AGR (Gilso) graphites, the SANS has a non-integer power law intensity variation with wave vector transfer (Q) over three orders of magnitude and the non-integer index varies with irradiation (as shown for GE1). This suggests a fractal distribution of porosity which changes as the carbon atoms are displaced. In contrast, our recent measurements on Magnox graphite shows that the SANS intensity peaks at 0.02Å-1, here suggesting some periodicity in the pore distribution.
![Page 14: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/14.jpg)
Porosity in graphites. Magnox graphite.
University of SalfordMaterials & Physics Research Centre
• open pores created by decomposition gases,• cracks between graphitic and amorphous carbon,• internal cracks produced as the graphitic particles cool below the plastic/solid transition, due to the anisotropic shrinkage along the c-direction (Mrozowski cracks).
A single power law exponent over a large Q range suggests that the SANS is dominated by one porosity type. We therefore suggest that the observed SANS is due to the Mrozowski cracks. A fractal distribution of crack widths (or inter-crack widths) might be expected to result from the graphene sheets remaining clamped in a fractal manner as the c-dimension shrinks.
![Page 15: The use of Small Angle Neutron Scattering in the study of porosity in reactor graphites. Z. Mileeva 1, D.K. Ross 1, D.L. Roach 1, D. Wilkinson 1, S.King.](https://reader036.fdocuments.net/reader036/viewer/2022062515/56649cb75503460f9497d2af/html5/thumbnails/15.jpg)
Magnox graphite. Anisotropy.
University of SalfordMaterials & Physics Research Centre
We found anisotropy in both samples. The intensity differs in the same sample depending on which sectors were taken for an analysis: vertical or horisontal.This is not known for other reactor type graphites and it might be the result of sample production (eg. extrusion).