Neutron scattering techniques as a tool for non-
destructive testing
G. Apostolopoulos, K. Mergia and A.G. Youtsos
Institute of Nuclear Technology and Radiation Protection,
National Center for Scientific Research “Demokritos”, Athens, Greece
[email protected]
Abstract – Neutron scattering techniques, such as neutron diffraction, small angle neutron scattering and neutron
reflectometry consist very powerful tools for the non-destructive study of materials. At the Greek Research
Reactor, GRR-1, a number of neutron scattering methods are employed and developed. In the present
contribution, a short description of the methods and facilities is given, as well as some demonstrative examples of
their use in non-destructive materials testing.
Keywords: Neutron scattering, neutron diffraction, neutron reflectometry, small angle neutron scattering.
1 Introduction
Neutron scattering techniques constitute a powerful tool different neutron scattering power. SANS can be used for
for non-destructive testing of materials. Neutron has a predicting failure in nickel-base superalloy turbine
high penetration depth into matter and this allows the blades, to study porosity in cements and other porous
study of volume effects and bulky components. materials, to reveal the kinetics of precipitation in alloys
Furthermore, in-situ time-dependent experiments may be or to study the debonding of fibers in carbon-carbon fiber
performed within complex sample environments such as composites.
furnaces, cryostats, pressure vessels or chemical reactor Neutron Reflectometry (NREF) is a relatively new
vessels. technique that has widespread applications as a powerful
Compared to the commonly used X-ray techniques, tool to analyze interfacial structure and composition of
neutrons have the additional advantage of distinguishing thin films, multilayers, surfaces, solid/liquid interfaces,
among different metals and are sensitive to light membranes and other « two-dimensional » structures. Its
elements. Another unique advantage of neutrons relies on application extends in the new emerging research areas
the fact that the neutron is scattered differently by the in the fields of Material Science, Biology, Chemistry and
various isotopes of an element. This gives the ability to Nanotechnology [2].
vary the contrast of a defect, for example, by changing In this paper the neutron scattering facilities at the Greek
the isotopes in the defect or its surrounding matrix. The Research Reactor GRR-1 installed at the National Centre
strong interaction of neutrons with hydrogen gives a for Scientific Research « Demokritos » are described in
unique ability to investigate through scattering connection with some examples of non-destructive
techniques, non-destructively, the concentrations, applications in Materials Science.
locations and movements of hydrogen in solids, which is
useful in the development of hydrogen storage alloys and 2 Neutron Scattering Facilities at GRR-1
fuell cells, and in studies of hydrogen embrittlement of
structural metals. The Greek Research Reactor GRR-1 is an open pool-type
Neutron diffraction technique is the most useful method reactor of 5 MW thermal power, cooled and moderated
for studies of structural changes of the crystal lattice by light water, and employing beryllium reflectors at two
particularly in the presence of heavy elements. The opposing sides of the core. Its neutron scattering
structure and volume fraction of minority phase can be facilities consist of a two-axis neutron diffractometer,
measured at levels appreciably below that possible by X- which is in operation since 2001, a Time-of-Flight (TOF)
ray diffraction. A rapidly growing field is the Reflectometer which is under installation, a SANS and a
measurement of internal stresses in engineering USANS instrument which are under development.
components through the shifts in lattice spacing, the
diagnosis of the modification of irradiated materials, etc
[1]. Neutron diffraction is unique in being able to 2.1 Neutron Diffraction
measure the full strain tensor from a specified volume
within a bulk specimen. Neutron diffraction refers to the phenomenon associated
Small Angle Neutron Scattering (SANS) and Ultra Small with the interference processes which occur when
Angle Neutron Scattering (USANS) are actually neutrons are scattered by the atoms within solids, liquids,
scattering methods for detecting heterogeneities in the and gases. The use of neutron diffraction requires high
range from 1 to 2000 nm embedded within a matrix of thermal-neutron fluxes which can be obtained only from
nuclear reactors. These diffraction investigations are
possible because thermal neutrons have energies with suppression of high order harmonics.
equivalent wavelengths near 0.1 nm and are therefore Two Soller collimators placed before the
ideally suited for interatomic interference studies. monochromator, made from mylar-foil covered with
Diffraction line positions and intensities give structural gadolinium oxide, offer a collimation of 15′ and 30′ with
information on the material under investigation. Line transmission of 93% and 96%, respectively.
widths give information on the size, strain and defect Table 1. Characteristics of the 2-axis neutron
nature of the crystallites responsible for the diffraction. diffractometer NEDI at the GRR-1 reactor.
A perfectly ordered crystalline material gives only Bragg
scattering together with a small contribution from Collimators Automatic exchange 1=15’, 30’
temperature dependent thermal diffuse scattering. Any (Soller)
disorder gives diffuse scattering between Bragg peaks. Monochromator Automatic exchange of germanium
The magnitude of diffuse scattering may therefore be (Ge/hkk) and pyrolytic graphite
used as a test of the perfection of crystalline materials. (PG/002) with vertical focusing on
The neutron powder diffractometer NEDI, installed at the sample
GRR-1, was designed so as to enhance the quality of Graphite Filter Elimination of 2nd order Bragg
diffraction data which can be obtained from a reactor of reflections
modest thermal power. Its applications are mainly Take-off angles 2 M=22°, 45°, 60°, 90° and 120°
focused on the study of crystalline and magnetic Wavelength range Ge:0.41 – 2.95 Å
structures, phase transitions induced, e.g., by temperature PG: 1.28– 5.81 Å
or pressure changes, residual stress measurements and Angular range 5° <= 2θ <=120°
kinetics of chemical reactions. A schematic layout of the Neutron flux 5 108 n/cm2/s (at the
instrument is given in figure 1. Table 1 summarizes the monochromator)
most important instrument parameters. Sample-detector 0.5 to 1.6 m
distance
Sample 10 – 300 K (closed cycle
environment refrigerator)
Position sensitive 300 – 1800 K (furnace)
detectors
placed vertically The collimator and monochromator units are housed
within the main instrument shield, which is constructed
as to allow easy access to both units. The main
sample monochromator shield provides take-off angles at 22, 45,
aperture 60, 90 and 120°.
A sample stage sustained on air cushion pads allows easy
Collimators movements to the different beam exit tubes. Different
sample environments can be easily assembled allowing
convenient sample mounting. The incident to the sample
neutron monochromator neutron beam is defined by an adjustable in height and
beam
width aperture. The incident beam may be focused on a
minimum sample height of 2 cm giving an intensity gain
Reactor face of a factor of about three.
The detection system consists of seven linear position
Figure 1 : Schematic Layout of the Neutron sensitive 3He detectors placed horizontally one on top of
Diffractometer at GRR-1. the other. The whole detector assembly can be moved on
rails in and out towards the sample position and the
An in-pile main beam collimator of 1.87 m length is acceptance angle of the detectors system can vary from
installed in the beam tube ending at a rotating drum 18° to 56° in Bragg angle 2θ. This offers the flexibility to
which enables opening and closing of the beam. A choose between high resolution or high counting rate
sapphire filter of 75 mm thickness is used in the primary needed for a dynamic experiment.
beam to reduce the fast neutron flux [3]. The neutron More details about the instrument design can be found in
diffractometer radiation shielding was optimized by Ref. [5].
Monte Carlo neutron and photon transport code An example of the application of neutron diffraction
calculations (MCNP) [4]. Figure 1 shows the schematic technique refers to the structural characterization of
layout of the instrument. Two alternative multi-crystal irradiated SiCf/SiC composite materials with fusion
focusing monochromators are available: germanium applications [6]. Composite specimens of Nicalon-S
(Ge/hkk) and pyrolytic graphite (PG/002), having fibres in a SiC matrix, types N3 and N4, were subjected
mosaicities of 15 and 30′, respectively. The Ge to neutron irradiation at GRR-1. Different dose levels
monochromator provides wavelengths in the range 0.41 – were studied with irradiation times ranging from 200 to
2.95 Å. The pyrolytic graphite uses the 002 reflection 1600 hours at a neutron flux of 7.5×1013 n/cm2/s and a
and can provide wavelengths from 1.28 – 5.81 Å. It is temperature of 40ºC. The maximum fast neutron fluence
used in combination with a graphite filter for the was up to 4.3 × 1024 n/m2 which corresponds to about
0.43 dpa (displacement per atom). sample surface at grazing angles of incidence. The
The irradiated samples were measured by neutron reflected neutron intensity is recorded as a function of the
diffraction at the NEDI neutron diffractometer of GRR-1. scattering wave-vector, Q 4 sin / , where is the
Structural changes are observed to occur mainly after 800 angle of incidence and the neutron wavelength.
hours of irradiation. These show lattice contraction and
indicate the existence of defect accumulation. There is no
clear indication of amorphization caused by fast neutron Up to an angle of incidence c, called the critical angle,
displacements up to 0.43 dpa. neutrons of a given wavelength undergo total external
reflection. Beyond c the beam penetrates the
1500 stratification and gets reflected at the interfaces. The
t=1600 h information that can be obtained through the use of this
1000
technique are the thickness, density and roughness of
each layer of the thin film sample, as well as phenomena
Intensity
500
20 40 60 80 100
like inter-diffusion can be revealed. If one measures
3000 reflectivity outside the specular condition, i.e. angle of
2000
t=237 h reflection different than that of incidence, then the
reflected beam provides information on the in-plane
1000
height-height correlation function at various interfaces in
0
20 40 60 80 100
the thin film and on lateral structures.
2
Figure 2 : Neutron diffraction spectra of irradiated
SiCf/SiC-N3 for 237 and 1600 hours.
0.437
Figure 4 : Schematic layout of the neutron reflectometer.
N4
0.436
N3
The reflectometer at GRR-1 has been designed so as to
Lattice constant (nm)
0.435
satisfy different experimental requirements such a) the
0.434 ability to measure both solid and liquid samples, b)
0.433
utilization of the short neutron wavelengths, c)
availability of different wavelength ranges, d) ability to
0.432 vary the resolution, e) easily maintainable detection
system and electronics, f) reliable and easy alignment of
0.431
samples and g) ability for the extension of the instrument
0.430
24 24 24 24 24
for polarized neutrons. Taking into account the absence
0 1x10 2x10 3x10 4x10 5x10
2
of a cold neutron source at the GRR-1 reactor, the
Neutron Fluence (n/m ) reflectometer has been designed to operate in Time-Of-
Flight (TOF) mode.
Figure 3 : The lattice constant of irradiated N3 and N4
type of SiCf/SiC versus the neutron fluence.
Table 2. Characteristics of the time-of-flight
reflectometer at the GRR-1 reactor.
In Figure 2 it is shown the neutron diffraction spectra
Scattering Geometry Vertical
from SiCf/SiC-N3 composites for irradiation times of 237
Incidence Angle
and 1600 hours. Lattice contraction takes place for both
Liquids 0 – 1.5°
N3 and N4 types after irradiation at a neutron fluence of
Solids 0 – 5°
1.6×1024 n/cm2 (about 0.16 dpa) and 0.6×1024 n/cm2 for
N4 and N3 correspondingly. The lattice contraction is Beam Size Max.
more intense (of about 1%) for N4 type than for N3 type. 10mm(V)×50mm(H)
In Figure 3 it is shown the lattice constant for both types Angular Resolution 0.05° – 0.5°
N3 and N4 of SiCf/SiC composites versus the fast Pulse repetition rate 20 – 200 Hz
neutron fluence. Chopper–Detector distance 6 – 10 m
Wavelength Range 1 – 10 Å
Wavelength Resolution 0.1 – 0.5 Å
2.2 Neutron Reflectometry
Neutron reflectometry is an established technique for the In the TOF technique a white neutron beam is pulsed by
study of thin films, multilayers, and surfaces. In its means of a chopper, a rotating disk of neutron absorbing
simplest form, neutron reflectometry consists of material with suitable cut-out windows for shaping the
measuring the specular reflection of neutrons from the neutron pulse. Neutrons of different wavelengths are
discriminated based on the time they need to reach the properties of SiC coatings. SiC films of 128 nm nominal
detector. The TOF mode has the advantage that a large Q thickness were grown on Si wafers by the rf sputtering
range can be covered in one geometrical setting and a technique. The samples were subsequently oxidized in air
wide wavelength range can be utilized. In addition, the at different temperatures and for various oxidation times.
complexity and the time lost in a continuous change of Figure 5 presents the reflectivity data from the SiC
, 2 angles can be avoided and lower Q values can coatings oxidized at 700°C for 1, 4 and 16 hours. The
be obtained. solid lines are least square fits to the data. The
information that was
10
0
o
120 400 oC SiC
-1
10 EX84 700 C/16h SiO2
10
-2 fit 100
10
-3
80
-4
10
-5 60
10
0
0.1 0.2 0.3 0.4 0.5 0.6 40
10
Reflectivity
10
-1
EX81 700 C/4h
o
20
-2 fit
10 0
-3
10
10
-4
120 700 oC
-5
10 100
thickness (nm)
0.1 0.2 0.3 0.4 0.5 0.6
0
10
-1 o
80 SiC
10 EX75 700 C/1h
-2 fit 60 SiO2
10
-3
10
-4
40
10
10
-5 20
0.1 0.2 0.3 0.4 0.5 0.6
0
-1
Q (nm ) 120 900 oC
100
SiC
Figure 5 : Neutron reflectivity data from SiC films 80 SiO2
oxidised at 700°C for 1, 4 and 16 hours. The solid line is 60
a least square fit to the data.
40
For measuring liquid samples the in-pile collimation 20
system has been designed so that the neutron beam 0
emerging from the reactor is inclined with respect to the 0 2 4 6 8 10 12 14 16 18
horizontal axis. Thus the desired reflection angle θ is oxidation time (hours)
achieved by simply moving the apertures and the sample
vertically. With this method a maximum value of θ =
1.6º may be achieved for liquid samples. Different
wavelength ranges are available and all of them have the
same minimum wavelength of 0.15 nm utilizing, thus,
the short wavelengths where the GRR-1 reactor offers the Figure 6 : The thickness of the SiC (● solid circles) and
maximum flux [7][7]. The instrument resolution is also a SiO2 (▲ solid triangles) layer versus the oxidation time
variable parameter, determined by the chopper rotation at 400, 700 and 900°C. The dotted lines are guide to the
speed and the chopper-detector distance. Thus, the user eye.
may choose between high resolution and high counting
rate settings, according to the experimental needs. Pulse obtained from the oxidized films includes the thickness
overlap is avoided by the employment of a supermirror. of a SiO2 layer that forms during oxidation, the thickness
Since there are no guides and it is essential to reduce the of the remanent SiC layer, as well as the density and
background, a sapphire filter is used for the removal of interfacial roughness of both layers. The evolution of the
the fast neutron component. For achieving an efficient thickness as a function of oxidation time, both for the
removal of the fast neutrons without considerable SiO2 and the SiC layer, is depicted in Figure 6. The
reduction of the neutron flux in the wavelength range dotted lines in Figure 6 are guides to the eye.
from 0.15 to 1.0 nm the optimum sapphire thickness has
been calculated by MCNP code. Further, towards a low 2.3 Small Angle Neutron Scattering (SANS)
background instrument, optimization of the shielding has
been made by MCNP calculations. SANS allows the study of inhomogeneities in a matrix.
The layout of the neutron reflectometer is presented in In a typical SANS experiment the measured quantity is
Figure 4 while the instrument parameters are given in the macroscopic scattering cross-section of the
Table 2. inhomogeneities,
An example of the application of the neutron
reflectometry technique refers to the oxidization
d
F C (r)
2
n p Vp2
2
S 2 (QR) I QD (1)
d The SANS technique can be used in obtaining
information about the precipitation in an alloy.
as a function of the scattering wave-vector Q. In the Isothermal ageing of AlLi alloys results in the formation
above equation F{C (r)} represents the Fourier of a L12 ordered metastable δ´ phase of stoichiometric
transform of the neutron scattering length density C(r), composition Al3Li The growth of δ´ precipitates in an Al-
n p is the number density of the precipitates, V p is the 8.9at%Li alloy was studied by SANS experiments in the
temperature range from 90 to 210°C [8]. In Figure 8 is
volume of one precipitate, and is the contrast, which
presented the scattering cross section versus the
depends generally on the atomic volume in the matrix scattering vector Q from an AlLi alloy aged at 210°C for
and in the precipitates and on the neutron scattering
0.17, 0.50 and 1 hours.
lengths of the atoms involved. S (QR) is the Fourier
transform of the shape of the precipitate and R is the
size of the precipitate. I (QD) describes the interparticle
120
scattering, where D is a characteristic distance between t = 0.17 h
t = 0.50 h
the precipitates. t=1h
d /d / (barn/str/atom)
At GRR-1 a SANS and a USANS instrument are under 90
design. The two instruments will be installed at the same
beam tube. SANS will be used for the investigation of 60
large size inhomogeneities (0.05 – 5 μm) and USANS for
smaller size inhomogeneities (0.002 – 0.1 μm).
The double crystal USANS instrument will consist of two 30
elastically bent Si crystals, the monochromator and the
analyzer (Figure 7). The instrument wave-vector 0
resolution δQ may be tuned in the range from 10-4 to 10-3 0.02 0.04 0.06 0.08 0.10
Å-1 by adjusting the curvatures of the two crystals, -1
Q / nm
according to the expected size of investigated
inhomogeneities. The fully asymmetric diffraction Figure 8: SANS curves from AlLi alloy aged at 210°C
geometry on the elastically bent Si analyzer is employed for 0.17, 0.50 and 1 hours. The solid lines are guide to
to transfer the angular distribution of the scattered the eye.
neutrons to the spatial distribution and to analyze the
whole scattering curve by a one-dimensional position The radius, number density and volume fraction of the
sensitive detector. precipitates and the concentration of the solute in the
The SANS instrument (Figure 7) will utilize the beam matrix were determined as a function of ageing
transmitted through the Si(111) bent crystal. A beryllium temperature and time.
crystal cooled at cryogenic temperature will act as a The coarsening kinetics predict that the growth of the
filter, cutting out wavelengths smaller than 3.95 Å. A cube of the size of the precipiates is proportional to
mirror after the sample may be used to deflect the long ageing time, while the number density of the precipitates
wavelength neutrons (for example above 5.5 Å). The varies inversely with time [9]. The proportionality
scattered intensity will be monitored on an image plate. constants are the kinetic constants which depend on the
diffusion coefficient and the surface energy. The size of
the precipitates obtained from the SANS data agrees very
well, for long ageing times, with the predictions of the
coarsening theory, as can be seen in Figure 9.
Bent Si (111) analyser Sample Si (111) bent crystal
asymmetric cut
Be filter
SANS
Sample
USANS
Mirror
Position sensitive detector
Image plate detector
Figure 7: Schematic layout of the SANS and USANS
instruments.
350, 162-165, 2004
[6] Fusion RTD Activities, Association EURATOM –
T =363 K Hellenic Republic, Annual Report 2004
8 T =393 K
T =423 K [7] K. Mergia and G. Apostolopoulos, Neutron
T =458 K Reflectometry : A Probe for Materials Surfaces,
T =483 K
International Atomic Energy Agency, Vienna, 2006
6 [8] K. Mergia K., S. Messoloras, F. Al-Hazmi and R. J.
ln[( R (t)- R0 ) / nm ]
3
Stewart, Phil. Mag A 80, 2609, 2000
[9] I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem.
3
4 Solids, 19, 35, 1961
3
2
0
0 2 4 6 8
3
ln[ k1(t-t0) / nm ]
Figure 9: Universal behaviour of the sizes of the
precipitates in AlLi alloys according to the coarsening
theory.
3 Conclusions
Neutron scattering techniques offer significant
advantages for non-destructive testing applications due to
the high penetration depth of neutron beams and the
unique sensitivity of neutrons to different isotopes and
light elements as hydrogen. At the Greek Research
Reactor GRR-1 a variety of neutron scattering methods
and facilities are employed and developed, offering a
wide range of possibilities for non-destructive testing
applications. In the present contribution a description of
the GRR-1 facilities has been given and some
representative application examples have been described.
Neutron diffraction has been employed for the study of
lattice distortion in SiCf/SiC composite materials after
irradiation. The oxidization properties of SiC coatings
has been investigated by means of neutron reflectometry.
Finally, small angle neutron scattering has been
implemented to determine the kinetics of δ´ phase
precipitation in Al-Li alloys.
4 References
[1] Neutron in Research and Industry, Vol 2867,
Published by SPIE - The International Society for
Optical Engineering, 1996
[2] Neutron Reflectometry : A Probe for Materials
Surfaces, Published by the International Atomic
Energy Agency, Vienna, 2006
[3] I.E. Stamatelatos and S. Messoloras, Rev. Sci.
Instrum. 71, 70, 2000
[4] I.E. Stamatelatos, A. Salevris and S. Messoloras,
Demo Reports, DEMO 98/7 (1998)
[5] K. Mergia, A. Salevris, S. Messoloras, Physica B.