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How does a LEEM work ?
LEEM and LEED: Microscopy and Diffraction.
Glossary of Imaging modes
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Low Energy Electron Microscopy

The need to observe nanometer scale processes on surfaces in real-time lead to the development of  a LEEM instrument (low energy electron microscope) in 1985 by Ernst Bauer and Wolfgang Telieps, more than 20 years after its invention by E. Bauer in 1962. While the first Instruments were installed at the University of Clausthal in Germany, Dr. Ruud Tromp and Dr. Marc Reuter initiated the development of a new LEEM at IBM. This instrument started operation in 1991 and was later on sold to several places worldwide. With new theoretical concepts for the correction of imaging errors of  magnetic lenses, magnetic deflectors, and analyzers, new LEEM designs became desirable. These include the energy filtered LEEM (SPE-LEEM) for chemical analysis, the spin polarized LEEM (SP-LEEM) for magnetic imaging, the Baby LEEM approach and the SMART project. In 1998 IBM built the first LEEM including a 90° Beam deflector worldwide. This LEEM instrument is currently installed at the T.J. Watson Research Center in Yorktown Heights, NY and is used for surface science research.

How does a LEEM work ?

Basic setup and drawing


Figure 1: Basic setup of LEEM II

Figure  2: A photo of LEEM II

The basic setup of the IBM LEEM II is shown in Image 1. Electrons leave the electron gun at the top of the image with an Energy of 15000eV. These high energy ("fast")  electrons fly downwards, and pass a set of lenses and steering coils that take care of electron focus and beam position before they reach the prism array. The prism array is the magnetic 90° deflector mentioned before. Here the  electrons are deflected by 90°: they leave the prism flying to the right, into the sample chamber - still having an energy of 15000eV. When the electrons pass the objective lens at the entrance of the sample chamber, they are "slowed down" and decelerated to an energy of only a few eV, since the sample, which is located in front of the objective lens, is held at a potential of nearly 15000V. The low energy electrons are scattered at the sample surface, analog to a LEED experiment and reflected back into the objective lens. Due to the potential difference between sample surface and objective lens,  the electrons are again accelerated to 15000eV on this path. The prism deflects the electrons downwards into the imaging column, where the projector lenses and the screen are located.

Even though details of the lens setup and its  purposes would be hard to describe here, comparison of the setup with a simple optical microscope can help to understand the basic idea. The electron gun and the condenser lens play the role of the illuminating lamp of the microscope. While in the optical case the illumination optics is mounted below the sample and the observation is performed in transmission, there is no need for a prism - this is different in the case of the LEEM. However, the objective lens is equivalent to the objective in the optical microscope and the projector is equivalent to the optical microscope projector.

LEEM and LEED: Microscopy and Diffraction.

a) lateral diffraction, dark field imaging

Figure 3: a) Si(001) atomic arrangement
b) the corresponding diffraction pattern
When a parallel and coherent beam of low energy electrons hits a single crystal surface composed of atoms arranged on a periodical  lattice, the electrons are diffracted at the surface and the result is a diffraction pattern. This effect is used in the LEED instrument (low energy electron diffraction), but also plays an important role in the LEEM case. In Fig.3 a) the atomic configuration of a Si(001) surface is shown, with the surface atoms relaxed into their minimum energy configuration (the "(2x1)" reconstruction) and  minimizing the total number of unsaturated ("dangling") bonds. Each two adjacent surface atoms move together slightly and form a double bond with their neighbor (pairs of red and green atoms in case of Fig.3a). However, due to the properties of the Si crystal lattice, the bond geometry is rotated by 90° on each atomic step on the surface. Fig.3a shows two terraces, an upper terrace on the left, and a lower terrace on the right.

What would  a diffraction pattern of a surface like this look like ? First of all: diffraction reflects periodicities on the surface. We would expect to find the underlying square lattic of the atoms in the diffraction pattern, in addition to spots that are due to the reconstruction. The experimental result is shown in Fig.3b). The spot in the center is the directly reflected beam,  the green and red ones are caused by the reconstruction. Concentrating on the green spots first, which correspond to the left  terrace, it is obvious that the periodicity in the vertical direction in (a) and (b) is not changed compared to the underlying square lattice. In the vertical direction, the periodicity in the real-space configuration is doubled, which gives rise to additional spots in the diffraction pattern at 1/2 positions. The same argument explains the red spots, which are rotated by 90° relative to the green ones and are generated by the lower terrace in Fig.3a.

When the low energy electrons used for the illumination of the sample in the LEEM hit the crystal surface, a diffraction pattern is the result. For real space imaging the experimentalist chooses one of the diffraction spots with a contrast aperture located in the imaging column. Depending on what spot was chosen, the resulting image can be completely different. If the specular (center) beam is used, the resulting image is called a "bright field" image, images taken with any other beam are called "dark field" images. An example for dark field  imaging is shown in Fig.4 using the Si(001) (2x1) surface from above.


Fig 4.
     
a) LEED Image of Si(001) b) Dark-Field image of the surface in a) using one of the green spots for imaging c) Same as b; using a red spot
Fig. 5: Step phase contrast on Si(111)


b) vertical diffraction, phase contrast

While the lateral resolution of the IBM LEEM II is "only" 5  nanometers,  the vertical resolution can be much higher due to diffraction effects. An example for this was already given in the above paragraph, where the dark field imaging was used to resolve terraces on the surface with a height difference of only one atomic step (=1.36 Å for the case of Si(001) ). Another possibility to resolve single steps, is to make use of the wave nature of the incoming electron beam. When the wavelength of the beam is chosen in a way, that destructive interference occurs between adjacent terraces, all  terraces will appear with the same gray level in the microscopic image, but the steps separating the terraces will appear as dark lines in the image. An example is given in Fig.5

 

Glossary of Imaging modes

PEEM: Photoelectron emission microscopy. The electron gun of the LEEM is switched off, Electrons are excited with a UV light source making use of the photo effect. The resolution is not as good as in LEEM (The intensity of the used HG is not high enough for 5 nm resolution), but at lower magnification differences in the work function of different materials are easily visible. There is no LEEM image visible in the intermediate image plane, but the PEAD - the Photoelectron angular distribution.
 
MEM: Mirror Electron Microscopy: The electron energy is reduced to the limit, when the electrons return in the retarding field, before they hit the sample surface. It is hard to understand, how the contrast in these images is formed. The basic mechanism is, that all height variations on the sample surface, such as steps, grains, ... change the local properties of the retarding field and therefore take influence on the reflected electron beam. The intensity of the reflected beam is very high, and there is no LEED image visible: since no scattering process took place, all reflected electrons are in the specular beam.
 
  Dark field imaging: Usage of one LEED spot in the intermediate plane for imaging All areas on the surface that contribute to the existence of this spot appear bright in the image, all other areas appear dark. See above chapter for detailed explanation.  
 
phase contrast: Usage of the wave nature of the incident electron beam to generate a vertical diffraction contrast, e.g. to make steps visible on the surface. See above chapter for detailed explanation.
 
reflectivity contrast: Different areas on the surface might show a difference in electron reflectivity, depending on the surface material, or even depending on the surface structure. Since the reflectivity coefficient depends on the incident electron energy, the contrast can be optimized. The most famous example is the difference between the (7x7) reconstruction and the (1x1) structure on the Si(111) surface at ~850°C. At an electron energy of about 10eV the (7x7) areas appear much brighter than the remaining surface.
 
LEED: since a diffraction pattern is formed in the backfocal plane of the objective lens, it is possible to image this pattern on the screen (LEED). See above chapter for detailed explanation.
 
Microdiffraction: By restricting the electron beam only to a very small area on the surface (fraction of a µm), it is possible to determine the LEED pattern of small areas on the surface, like the LEED pattern of single islands or terraces in order to determine their crystal structure and orientation. 

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