[0001] The present invention relates to a device for reflecting beams of atoms or molecules,
in particular He atoms or H
2 molecules, a method for producing said device and a system, in particular a microscope
or lithography device, comprising said device. The present invention also relates
to a method for reflecting atoms or molecules.
[0002] Helium (He) atom scattering is a powerful, well-established technique for investigating
the structural and dynamical properties of surfaces, as it is described e.g. in "
E. Hulpke (Ed.) 1992, Helium Atom Scattering from Surfaces, Springer Series in Surface
Sciences Vol. 27, Springer (Berlin)" and "
D. Farias and K.H. Rieder, Rep. Prog. Phys. 61, 1575 (1998)". Because of the low energies used (10-100 meV), neutral He atoms probe the topmost
surface layer of any material in an inert, completely nondestructive manner. This
means that a Scanning Helium Atom Microscope (SHeM), where a focused beam of neutral
He atoms is used as an imaging probe, would be a unique tool for reflection or transmission
microscopy, with a potential resolution of 20-50 nanometers. It could be used to investigate
glass surfaces, biological materials and fragile samples which are difficult to examine
by other methods, mainly due to the appearance of sample charging or electron excitation
effects.
[0003] The physical realisation of such a microscope requires the development of a device
(hereinafter also referred to as "mirror") able to focus a beam of low energy neutral
He atoms into a small spot on the sample to be examined.
[0004] Electrostatic bending of a hydrogen passivated Si(111) crystal to focus a 2 mm He
beam to a final spot diameter of 210 microns is demonstrated in "
B. Holst and W. Allison, Nature (London) 390, 244 (1997)". However, the most serious limitation for improving the resolution is given by
the low intensity obtained in the focused peak, which is a consequence of the poor
reflectivity of such surfaces (∼ 2%).
[0005] It is also known in the art to use the combination of microskimmers with Fresnel
zone plates to focus a He beam down to 1.5 micron as described in "
R.B. Doak, R.E. Grisenti, S. Rehbein, G. Schmahl, J.P. Toennies and Ch. Wöll, Phys.
Rev. Lett 83, 4229 (1999)". However, again the very low intensity in the focused central peak poses a serious
limitation for use in a microscope. In fact, as compared to mirror focusing, the use
of Fresnel zone plates implicates significant disadvantages: the focused intensity
is much smaller, it does not offer true white light focusing and it suffers from chromatic
aberrations.
[0006] US 2004/0238733 A1 discloses an atomic reflection optical element for an atomic wave designed to increase
the (coherent) reflectance of the atomic wave by using a porous surface structure,
a structure supporting a very thin film or a structure in which the insular portion
(reflection surface) of a reflection-diffraction grating is narrowed. The materials
used for those structures are silicon, silicon carbide or silicon nitride.
[0007] In the development of a device suitable to focus a beam of low energy atoms, such
as neutral He atoms, the problem of using a surface for atom optics must be considered
at both the macroscopic level, where classical mechanics is applicable, and the microscopic
level, where quantum effects dominate.
[0008] At the macroscopic scale, the device must be bent to a Cartesian reflector surface
to avoid aberrations. Recent results have shown that Si(111)-wafers with appropriate
properties can be produced by improved current crystal cutting and polishing technologies.
[0010] Semiconductor surfaces can be produced with smaller density of steps and point defects
than metal surfaces. However, the large charge corrugation at semiconductor surfaces
results in a large loss of intensity from the specular beam into several diffracted
beams.
[0011] Metals, on the contrary, reflect He atoms mostly into the specular beam, the diffracted
ones being many order of magnitude smaller. Unfortunately, metal crystals as such
are not suitable as mirrors. First, their surfaces usually show a higher step/defect
density. Furthermore, most metals are highly reactive, it is difficult to produce
very thin metal crystals and the mechanical properties are less desirable, in particular
the crystals are prone to display mosaic structures. Thus, a combination of a semiconductor
substrate covered by a layer of a suitable metal may provide a solution to the above
problem. However, such composite structures are difficult to prepare since many metals
show a persistent tendency to grow in a three-dimensional (3D) mode, i.e. by forming
3D islands, on most semiconducting surfaces.
[0012] It is therefore a first object of the present invention to provide a device for (coherently)
reflecting a beam of atoms or molecules without the disadvantageous properties as
discussed above. It is a further object of the present invention to provide a process
for producing the device in a reproducable and controlled manner. The device should
have high specular reflectivity so that the focused beam can be used in the operation
of a microscope or a lithography device or other atom-optical components.
[0013] According to the present invention, the first object is solved by a device for (coherently)
reflecting a beam of atoms or molecules, said device comprising a crystalline substrate
with a high-quality surface, e.g. a (100) or (111) surface, on which a metal surface
structure is deposited such that the specular reflectivity of the beam is about 20
% or higher. Preferably, the crystalline substrate is based on a semiconductor.
[0014] The present invention also relates to a method for producing a device as defined
in any of the preceding claims, said method comprising the steps of:
- a) providing under high vacuum or ultra-high vacuum conditions a crystalline substrate
with a high-quality surface (clean or passivated);
- b) depositing on top of the high-quality surface of the crystalline substrate a metal
to form a metal surface structure such that it covers uniformly the crystalline substrate
on the atomic scale.
[0015] Furthermore, the present invention relates to a microscope, in particular a scanning
helium atom microscope (SHeM), or a lithography device or another atom-optical component
using the device of the present invention, and to a high vacuum or ultra-high vacuum
system comprising said device, microscope or component.
[0016] Finally, the present invention relates to a method for reflecting, in particular
focusing, a beam of atoms or molecules by using a device as defined above, and to
a method for operating a microscope or a lithography device using the scattering of
atoms or H
2 molecules, under high vacuum or ultra-high vacuum conditions, comprising providing
a beam of atoms or molecules, reflecting the beam by using a device as defined above
and detecting the diffraction or transmission intensities of the beam after interaction
with a material to be examined.
[0017] As used herein, the terms "atoms" or "molecules" also relate to those species which
carry a charge, i.e. ions of atoms and molecules, and which may be manipulated (reflected,
focused) by using the devices and methods of the present invention.
[0018] Preferred embodiments of the present invention are described in the dependent claims.
Brief Description of the Figures
[0019]
Figure 1 shows at the top and in the middle angular scans of He scattered from the
clean Si(lll)7x7 surface. At the bottom, evolution of the He specular intensity during
the deposition of Pb on top of this surface at 140 K is shown.
Figure 2 shows a series of 100 nm × 100 nm STM images recorded during the deposition
of Pb on the (√3x√3)Pb/Si(lll)R30 surface at 158 K. The (√3x√3)Pb/Si(lll)R30 structure
is prepared by depositing 1 ML of Pb on the clean Si(111)-(7x7) surface at 158 K,
followed by a 5 minute anneal to 700 K to desorb the excess Pb. The result of this
preparation is the ordered (√3x√3)Pb/Si(lll)R30 structure, with a total Pb coverage
of 1/3 ML. This coverage is defined with respect to the unrecon-structed, bulk terminated
Si(111) surface, i.e. there is one Pb atom for 3 Si atoms. The images have been taken
with a sample bias of 3 V and correspond to 0.7 (1 min), 1.3 (2min), 2.0 (3min) and
6.6 ML (10min) of additional Pb. Figure 2e shows the evolution of the specularly reflected
He beam intensity during the deposition of Pb on top of a (√3x√3)Pb/Si(lll) R30 surface
at 114 K.
Figure 3 shows a series of 500 nm x 500 nm STM images of a 6.6 ML-thick Pb film deposited
at 158 K and heated to different temperatures.
Figure 4 shows at the top a 500 nm x 500 nm STM image of 7.1 ML-thick Pb film deposited
at 98 K and heated to 260 K. Most (94 per cent) of the surface is covered with 7 ML
Pb. Not a single step is visible in the image. At the bottom, a He diffraction spectrum
corresponding to a surface covered with 4 ML Pb at 120 K is shown.
Figure 5 shows 2 µm x 2 µm (top) and 50 nm x 50 nm (bottom) STM images of the Si(111)/Pb-(√3x√3)R30
structure according to the present invention.
Detailed Description of the Invention
[0020] As summarized above, the present invention is based on a device for coherently reflecting
a beam of atoms or molecules comprising a crystalline substrate with a high-quality
surface on which a metal surface structure is deposited such that the specular reflectivity
of the beam is about 20% or higher, preferably higher than 50%, more preferably higher
than 70%, for example 75% or 85%.
[0021] In this context, the term "high-quality surface" as used herein means a surface which
is cleaned and treated by methods known in the art to provide a surface which is atomically
flat over lateral scales of the order of one micron, for example 0.8 to 1.2 microns.
Preferably, the surface is atomically flat over a lateral scale of more than one micron,
for example, 1.2 or 1.5 microns, or more preferably more than 2 microns, e.g. 5 microns
or more, or even 10 microns or more than 10 microns.
[0022] The preferred substrate surfaces are (100) and (111) surfaces, in particular those
of semiconductor substrates like Si or Ge cut along the (111) plane. In particular,
a high-quality semiconductor substrate surface is a Si(111) surface treated under
vacuum conditions, i.e. high vacuum conditions characterized by very low pressures
of 10
-10 to 10
-11 mbar, to result in a Si(111)-(7x7) surface. One process for preparing such a surface
is to outgas the Si(111) sample at 900 K for a prolongated period of time (6-24 hours,
depending on sample quality). The oxide layer that covers the surface is then removed
by flashing the substrate to 1450 K for 15 seconds watching that the pressure does
not exceed 1×10
-9 mbar. The sample temperature is then decreased slowly to room temperature at a rate
of about 1 K per second. Such a procedure leads to the appearance of excellent helium
diffraction patterns from the 7x7 surface reconstruction of Si(111), as shown in Figure
1 in the angular scans of helium scattered from that surface. Another well-known process
for preparing such a surface is via anisotropic etching reactions conducted outside
the vacuum chamber, as detailed in
D. Baredo et al., Surf. Scie. 601 (2007) 24-29. For example, Si wafers having a Si(111)(7x7) surface may be used. These wafers may
have a thickness in the range up to to 1000 microns, in particular 5 to 500 or 300
to 500 microns, e.g. about 500 microns. However, depending on the mechanical requirements
and the design of the system in which the substrate is to be used other thicknesses
may be used. For example, a thickness in the range from 5 to 100 microns such as 50
microns may be preferred.
[0023] The metal surface structure deposited on the high-quality semiconductor substrate
surface, in particular a Si(111)-(7x7) surface, can be (and preferably is) prepared
according to the following procedure.
[0024] In general, a suitable metal, in particular a metal selected from the group consisting
of Pb, Sn, Ag, Au, Al and Pb or mixtures thereof, in particular Pb, is deposited under
high vacuum or ultra-high vacuum conditions at temperatures at about room temperature,
i.e. at about 300 K. The metal may also be deposited at temperatures below room temperature,
for example, at temperatures in the range from 90 to 200 K, for example, 90 to 150
K. It will be understood by the person skilled in the art that those temperatures
may vary depending on the chemical nature of the metal.
[0025] The metal is generally deposited on the surface by physical vapor deposition, i.e.
by evaporation from a suitable source of metal, e.g. a Knudsen cell, at rates of 0.1
to 2.0 ML/min, more preferably 0.1 to 1.0 ML/min, in particular 0.1 to 0.7 ML/min,
for example 0,5 ML/min.
[0026] In this context, the term monolayer (ML) means three times the coverage in the well-ordered
(√3x√3)Pb/Si(lll)R30 structure (see above).
[0027] After deposition of a desired amount of metal, for example 1 ML or more, for example
2, 3, 4, 5, 6, 7, 9, 10, 11, 12 or 13 ML, the metal surface structure thus formed
may be subjected to an annealing (heating) procedure to modify and to improve the
structure of the metal/semi-conductor composite material to enhance the specular reflectivity
of a beam of atoms or molecules scattered from such surface.
[0028] In general, the annealing step may be conducted at temperatures from room temperature
to about 800 K, for example in a temperature range from 300 to 700 K, in particular
500 to 700 K, preferably at about 700 K. During the annealing step (hereinafter also
referred to as heating step), the temperature may be raised at a rate of 1 K/sec.
The end temperature may be held constant for time periods of several minutes, e.g.
1 to 10 minutes, in particuar 1 to 5 such as 3 minutes.
[0029] Heating the metal films, in particular a Pb film, will produce an atomic rearrangement
which further increases the helium intensity specularly reflected as larger areas
of the film may become atomically flat, in particular defect free. Also, excess metal
may be removed from the surface.
[0030] According to a preferred embodiment of the present invention, after depositing a
first amount of metal, and subsequent heating of the metal surface structure thus
formed, a second amount of metal may be deposited. Again, after deposition of the
second amount of metal, heating may be applied.
[0031] According to the present invention, it has been found that metal films having a layer
thickness of 1, 3, 5, 7, 9, 11, 13 MLs (after heating to the temperature range in
which each of them are stable) show good stability and reflectivity properties. Without
being bound to a theory, it is believed that those thicknesses are stabilized by discrete
Quantum Well States.
[0032] A preferred structure produced by the procedures of the present invention described
above is a Si(111)/Pb-(√3x√3)R30 structure with a total Pb coverage of about 1/3 ML,
which is obtained after depositing 1 ML of lead on top of Si(111)7x7 high-quality
surface and subsequent annealing to about 700 K for 3 minutes. STM images of this
preferred structure are shown in Figure 5. The high helium specular reflectivity of
this surface is shown in the bottom spectrum of Figure 4. Other preferred structures
are selected from the group consisting of (2x1), (2x2), (2x4), c(8x4) and c(4x4) Pb
structures on Si(100).
Examples
[0033] The following examples further illustrate the invention.
[0034] The experiments are carried out in two different UHV (=Ultra-High Vacuum) chambers
with base pressures in the low 10
-11 Torr. In this context, it is noted that the terms "High Vacuum" and "Ultra-High Vacuum"
are known to the person skilled in the art. Throughout this specification, they have
the meaning commonly used in the art. The first one contains a variable temperature
Scanning Tunneling Microscope (STM), whereas the second chamber is a high-resolution
He scattering apparatus with a time-of-flight arm and a fixed angle of 106.8° between
incident and outgoing beam [12]. Both chambers offer the capability to evaporate in-situ,
a rear view Low Energy Electron Diffraction (LEED) optics that is also used for Auger
Electron Spectroscopy (AES), ion gun and mass spectrometer. High-quality Si(111) wafers,
0.5 mm thick, cleaned by standard methods prior to insertion in the UHV chambers,
are used as substrates. Inside the vacuum the samples are in general cleaned by heating
to 1400 K while keeping the base pressure in the 10
-10 Torr regime, which leads to the appearance of excellent He diffraction patterns from
the 7x7 surface reconstruction of Si(111), as shown in Fig. 1. STM examination of
the clean surfaces shows atomically resolved terraces larger than 2 microns, confirming
the very low misalignment of the wafers. Pb is evaporated from Knudsen cells at slow
rates of 0.1-0.7 ML/min, while the samples are either in the microscope or in the
He diffractometer at 90-150 K.
Example 1
Deposition of Pb on a Si(111)7x7 surface
[0035] The bottom graph of Fig. 1 shows the specular intensity of He measured during the
deposition of Pb on Si(111)7x7 at 140 K. The initial specular intensity from Si(lll)7x7
is fairly small (10
5 counts/sec) as most of the intensity goes into the numerous diffracted beams (see
Fig. 1). Apart from a first weak maximum upon completion of the wetting layer (i.e.
the layer formed after depositing about 2/3 ML of Pb), the reflected intensity is
negligible for the first 4 ML of Pb. It reaches a maximum 18 times more intense than
on the starting surface for a 4 ML-thick Pb film, which corresponds to the completion
of the magic islands that are the first stage of the growth. From that moment on,
the intensity oscillates as new layers are added, basically in a layer by layer fashion.
Example 2
Deposition of Pb on a (√3x√3)Pb/Si(lll) surface structure
[0036] Growing directly on the Si(111) 7x7 substrate never results in films of enough lateral
perfection. If the surface is prepared, however, to present the (√3x√3)Pb/Si(111)R30
structure, subsequent deposition of Pb leads to films of much higher perfection. The
(√3x√3)Pb/Si(111)R30 structure is prepared as described above. The resulting surface
was examined by STM. Fig. 2b shows the specular intensity recorded during deposition
of Pb on (√3x√3)Pb/Si(lll)R30 at 114K. Well defined oscillations are detected in a
wide temperature range (100-160 K). There is a hint of a first maximum at 1/3 of a
ML, followed by clear maxima which are separated by the time needed to deposit a single
monolayer from 2 to 7 ML. Then, maxima in the specular intensity are observed every
2 MLs.
[0037] The diffraction spectrum corresponding to 4 ML, recorded along the [110] azimuth,
is shown in the middle of Fig. 1. Only specular diffraction is observed in the angular
distribution, as expected from a close-packed metal surface. A similar spectrum is
obtained along the [121] azimuth (not shown). The specular intensity amounts to 20%
of the incoming He beam intensity, which represents an improvement of more than one
order of magnitude with respect to the results obtained from hydrogen passivated Si(111)
surfaces (as reported in
D. Barredo et al., Surf. Sci. 601, 24 (2007)).
[0038] Fig. 2 shows a series of STM images recorded for increasing Pb coverages during deposition
on the (√3x√3)Pb/Si(111) surface at 158 K which are characteristic of the surface
morphology in the 100-150 K range.
[0039] Fig. 2a shows the surface covered with 0.7 ML of Pb and illustrates the presence
of a dense array of small features 2 Ǻ high that cover uniformly the substrate. This
coverage corresponds to the wetting layer. All film thicknesses are given here above
the wetting layer, which corresponds, as indicated, to 2/3 of ML of Pb. For 1.3 and
2.0 MLs of Pb (see. Fig. 2b and 2c, respectively), the surface consists of small islands
with a size that increases with the coverage, but that remains smaller than the coherence
length of the incoming He beam. The large density of island boundaries and defects
is consistent with the small reflected intensity of He before the maximum at 2 ML.
Fig. 2d shows that, by the time the specular intensity displays clear oscillations,
the surface contains islands, typically 250 A wide. The difference in height across
the image is 1 ML. The Pb islands show an atomically flat top, (111)-oriented, as
demonstrated by atomic resolution images (not shown). Each island is a (111)-oriented
Pb nanocrystallite, where electrons from the sp band of Pb are efficiently confined
between the vacuum barrier and the Si band gap around the Fermi energy. Each Pb crystallite,
then behaves as a 1D quantum well. The confinement discretizes the s-p band of Pb
and the corresponding Quantum Well States (QWS) can be detected by local tunnelling
spectroscopy performed on top of islands of different heights or by Angular Resolved
Photoelectron Spectroscopy.
[0040] Observation with STM reveals that the films deposited at low temperature are continuous,
but "atomically rough", i.e. they usually contain significant fractions of (at least)
three adjacent atomic layers, i.e. a 8 ML-thick film deposited at 136 K contains 25.4
percent of 9 ML, 39 percent of 8 ML and 36.5 percent of 7 ML (always above the wetting
layer).
[0041] STM performed in situ at variable temperature is used to follow the evolution of
the morphology of the films during a quasistatic annealing with a temperature ramp
of 1K per minute. Heating the Pb films produces an atomic rearrangement and a further
increase in the He intensity specularly reflected, as larger areas of the film becomes
atomically flat. The maximum reflected intensity is approximately the same (7 x 10
6 c/s) for thicknesses of 1, 3, 5, 7, 9, 11, 13 MLs upon heating to the temperature
range in which each of them are stable. Without being bound to a theory, it is believed
that those thicknesses are stabilized by discrete Quantum Well States.
[0042] Fig. 3 shows the snapshots from an STM movie recorded during the heating of a 6.6
ML Pb film. The film shows a flat granular structure with no change up to 180 K. Above
200 K, the dominant height start to decompose and pits that reach the wetting layer
appear. The image at 268 K illustrates the decomposition of the film in 9, 11 and
13 ML-high regions, i.e some of the magic heights. The dark areas correspond to the
wetting layer.
[0043] Figure 4 shows the surface morphology of a 7.1 ML thick film of Pb deposited at 114
K and annealed to 260 K. The film is atomically flat and most of the surface (94 per
cent) is 7 ML-thick. Only 5 per cent of the surface is occupied by 9 ML-thick regions
(bright areas) and a 1 per cent for 5 ML-thick regions imaged as dark small islands.
Notice that not a single step is visible in the image. Very large scale STM images
indicate that the film at 260 K is atomically flat over lateral scales larger than
10 microns. In these conditions, the total reflectivity for He atoms is 20 percent
of the incident He beam (at 21 meV), that is, 20 times higher than for Si(lll)-H(lxl)
passivated surfaces under similar scattering conditions (as reported in
D. Barredo et al., Surf. Sci. 601, 24 (2007)).
[0044] The above results show that Quantum Size Effects can be used to stabilize close to
room temperature atomically flat films of Pb grown on Si(111), with the same degree
of perfection as the substrate. A He specular reflectivity of 50% can be obtained
from these Pb/Si(lll) surfaces working at θ
i = 53.4° and
Ei = 21 meV. At a larger angle of incidence (θ
i ∼ 70°) and an incidence energy close to
Ei ∼ 10 meV, specular reflectivity values as large as ∼ 70% can be obtained. This means
that a Scanning Helium Atom Microscope designed to work under this conditions and
using a mirror based on a crystalline substrate, in particular a semiconductor/metal
system as described above will have a signal more than one order of magnitude larger
than in current prototypes, which will result in greatly enhanced resolution.
[0045] The device of the present invention can advantageously be used in an atom-optical
apparatus. Non-limiting examples of apparatuses are a microscope, a scanning helium
atom microscope, a lithography device, a holography device, an interferometer or a
cooling device for atomic beams, or indemagnifying mirrors or other atom-optical apparatuses.
In particular, it can be used as a means for focusing a beam of atoms or molecules.
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1. Device for coherently reflecting a beam of atoms or molecules comprising a crystalline
substrate with a high-quality surface on which a metal surface structure is deposited
such that the specular reflectivity of the beam is about 20 % or higher.
2. Device according to claim 1, wherein the crystalline substrate is a semiconductor.
3. Device according to claim 1 or claim 2, wherein the atoms or molecules are selected
from the group consisting of He atoms, Ne atoms, H2 molecules or O2 molecules.
4. Device according to any one of the preceding claims,
wherein the crystalline substrate is based on silicon or germanium.
5. Device according to any one of the preceding claims,
wherein the crystalline substrate is a silicon wafer.
6. Device according to any one of the preceding claims,
wherein the metal is selected from the group consisting of lead, tin, silver, gold,
copper and aluminium or mixtures thereof.
7. Device according to any one of the preceding claims,
wherein the crystalline substrate is a silicon wafer having a Si(111)(7x7)-surface
which is atomically flat over lateral scales of the order of 1 micron.
8. Device according to any one of the preceding claims,
wherein the substrate with the metal surface structure is selected from the group
consisting of (2x1), (2x2), (2x4), c(8x4) and c(4x4) Pb structures on Si(100) and
a (√3x√3)Pb/Si(100)R30 structure.
9. Device according to any one of the preceding claims,
wherein the metal structure has a height of 2, 3, 4, 5, 6, 7, 8, 9, 20 or more layers.
10. Method for producing a device as defined in any of the preceding claims, said method
comprising the following steps:
a) providing under high vacuum or ultra-high vacuum conditions a crystalline substrate
with a high-quality surface;
b) depositing on top of the high-quality surface of the crystalline substrate a metal
to form a metal surface structure.
11. Method according to claim 9, further comprising a heating step after step (b) to improve
the surface structure and/or to desorb a certain amount of the metal deposited in
step (b).
12. Method according to claim 10, wherein subsequently to the heating step further metal
is deposited and potentially subjected to a further heating step.
13. Method according to claim 10 or claim 11, wherein the heating step is conducted in
the temperature range of 650 to 750 K, in particular at about 700 K.
14. Atom-optical apparatus, containing a device as defined in any of claims 1 to 9 or
as prepared according to any of claims 10 to 13.
15. Atom-optical apparatus according to claim 14, wherein the atom-optical apparatus is
selected from the group consisting of a microscope, a scanning helium atom microscope
(SHeM), a lithography device, a holography device, an interferometer or a beam-cooling
device.
16. High vacuum or ultra-high vacuum system comprising a device as defined in any of claims
1 to 9 or as prepared according to any of claims 10 to 13, or an atom-optical apparatus
according to claim 14 or 15.
17. Method for focusing a beam of atoms or molecules by using a device as defined in any
of claims 1 to 9 or as prepared according to any of claims 10 to 13.
18. Method for operating an atom-optical apparatus as defined in any of claims 14 and
15 using the scattering of atoms or molecules, under high vacuum or ultra-high vacuum
conditions, comprising providing a beam of atoms or molecules, reflecting the beam
by using a device as defined in any of claims 1 to 9 or as prepared according to any
of claims 10 to 13, and detecting the diffraction or transmission intensities of the
beam after interaction with a material to be examined.
19. Method according to claim 18, wherein the beam is focused.