# Photoemission electron microscopy

Photoemission electron microscopy (PEEM, also called photoelectron microscopy, PEM) is a type of electron microscopy that utilizes local variations in electron emission to generate image contrast. The excitation is usually produced by ultraviolet light, synchrotron radiation or X-ray sources. PEEM measures the coefficient indirectly by collecting the emitted secondary electrons generated in the electron cascade that follows the creation of the primary core hole in the absorption process. PEEM is a surface sensitive technique because the emitted electrons originate from a shallow layer. In physics, this technique is referred to as PEEM, which goes together naturally with low-energy electron diffraction (LEED), and low-energy electron microscopy (LEEM). In biology, it is called photoelectron microscopy (PEM), which fits with photoelectron spectroscopy (PES), transmission electron microscopy (TEM), and scanning electron microscopy (SEM).

## History
### Initial development

In 1933, Ernst Brüche reported images of cathodes illuminated by UV light. This work was extended by two of his colleagues, H. Mahl and J. Pohl. Brüche made a sketch of his photoelectron emission microscope in his 1933 paper (Figure 1). This is evidently the first photoelectron emission microscope (PEEM).

### Improved techniques

In 1963, Gertrude F. Rempfer designed the electron optics for an early ultrahigh-vacuum (UHV) PEEM. In 1965, G. Burroughs at the Night Vision Laboratory, Fort Belvoir, Virginia built the bakeable electrostatic lenses and metal-sealed valves for PEEM. During the 1960s, in the PEEM, as well as TEM, the specimens were grounded and could be transferred in the UHV environment to several positions for photocathode formation, processing and observation. These electron microscopes were used for only a brief period of time, but the components live on. The first commercially available PEEM was designed and tested by Engel during the 1960s for his thesis work under E. Ruska and developed it into a marketable product, called the "Metioskop KE3", by Balzers in 1971. The electron lenses and voltage divider of the PEEM were incorporated into one version of a PEEM for biological studies in Eugene, Oregon around 1970.

### Further research

During the 1970s and 1980s the second generation (PEEM-2) and third generation (PEEM-3) microscopes were constructed. PEEM-2 is a conventional not aberration-corrected instrument employing electrostatic lenses. It uses a cooled charge-coupled device (CCD) fiber-coupled to a phosphor to detect the electron-optical image. The aberration corrected microscope PEEM-3 employs a curved electron mirror to counter the lowest order aberrations of the electron lenses and the accelerating field.

## Background
### Photoelectric effect

The photoemission or photoelectric effect is a quantum electronic phenomenon in which electrons (photoelectrons) are emitted from matter after the absorption of energy from electromagnetic radiation such as UV light or X-ray.
When UV light or X-ray is absorbed by matter, electrons are excited from core levels into unoccupied states, leaving empty core states. Secondary electrons are generated by the decay of the core hole. Auger processes and inelastic electron scattering create a cascade of low-energy electrons. Some electrons penetrate the sample surface and escape into vacuum. A wide spectrum of electrons is emitted with energies between the energy of the illumination and the work function of the sample. This wide electron distribution is the principal source of image aberration in the microscope.

### Quantitative analysis

Using Einstein's method, the following equations are used: energy of photon = energy needed to remove an electron + kinetic energy of the emitted electron
    $hf=\phi +E_{k_{\text{max}}}\,$
where
    h is the Planck constant;
    f is the frequency of the incident photon;
    $\phi =hf_{0}\$ is the work function;
    $E_{k_{\text{max}}}={\tfrac {1}{2}}mv_{m}^{2}$ is the maximum kinetic energy of ejected electrons;
    f$_0$ is the threshold frequency for the photoelectric effect to occur;
    m is the rest mass of the ejected electron;
    v$_m$ is the speed of the ejected electron.

### Electron emission microscopy

Electron emission microscopy is a type of electron microscopy in which the information carrying beam of electrons originates from the specimen. The source of energy causing the electron emission can be heat (thermionic emission), light (photoelectron emission), ions, or neutral particles, but normally excludes field emission and other methods involving a point source or tip microscopy.

### Photoelectron imaging

Photoelectron imaging includes any form of imaging in which the source of information is the distribution of points from which electrons are ejected from the specimen by the action of photons. The technique with the highest resolution photoelectron imaging is presently photoelectron emission microscopy using UV light.

## Photoemission electron microscope

A photoemission electron microscope is a parallel imaging instrument. It creates at any given moment a complete picture of the photoelectron distribution emitted from the imaged surface region.

### Light sources

The viewed area of the specimen must be illuminated homogeneously with appropriate radiation (ranging from UV to hard x-rays). UV light is the most common radiation used in PEEM because very bright sources are available, such as mercury lamps. However, other wavelengths (like soft x-rays) are preferred where analytical information is required.

### Electron optical column and resolution

The electron optical column contains two or more electrostatic or magnetic electron lenses, corrector elements such as a stigmator and deflector, an angle-limiting aperture in the backfocal plane of one of the lenses.
As in any emission electron microscope, the objective or cathode lens determines the resolution. The latter is dependent on the electron-optical qualities, such as spherical aberrations, and the energy spread of the photoemitted electrons. The electrons are emitted into the vacuum with an angular distribution close to a cosine square function. A significant velocity component parallel to the surface will decrease the lateral resolution. The faster electrons, leaving the surface exactly along the center line of the PEEM, will also negatively influence the resolution due to the chromatic aberration of the cathode lens. The resolution is inversely proportional to the accelerating field strength at the surface but proportional to the energy spread of the electrons. So resolution r is approximately:
    Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/en.wikipedia.org/v1/":): {\displaystyle r\approx \frac{d\,\Delta\,E}{e\,U}}
In the equation, d is the distance between the specimen and the objective, ΔE is the distribution width of the initial electron energies and U is the accelerating voltage.
Besides the cathode or objective lens, situated on the left hand side of Figure 4, two more lenses are utilized to create an image of the specimen: an intermediate three-electrode lens is used to vary the total magnification between 100× if the lens is deactivated, and up to 1000× when needed. On the right-hand side of Figure 4 is the projector, a three electrode lens combined with a two-element deceleration lens. The main task of this lens combination is the deceleration of the fast 20 keV electrons to energies for which the channelplate has its highest sensitivity. Such an image intensifier has its best performance for impinging electrons with kinetic energies roughly about 1 keV.

### Energy filter

An energy filter can be added to the instrument in order to select the electrons that will contribute to the image. This option is particularly used for analytical applications of the PEEM. By using an energy filter, a PEEM microscope can be seen as imaging Ultra-violet photoelectron spectroscopy (UPS) or X-ray photoelectron spectroscopy (XPS). By using this method, spatially resolved photoemission spectra can be acquired with spatial resolutions on the 100 nm scale and with sub-eV resolution. Using such instrument, one can acquire elemental images with chemical state sensibility or work function maps. Also, since the photoelectron are emitted only at the very surface of the material, surface termination maps can be acquired.

### Detector

A detector is placed at the end of electron optical column. Usually, a phosphor screen is used to convert the electron image to a photon image. The choice of phosphor type is governed by resolution considerations. A multichannel plate detector that is imaged by a CCD camera can substitute phosphor screen.

## Time-resolved PEEM

Compared to many other electron microscopy techniques, time-resolved PEEM offers a very high temporal resolution of only a few femtoseconds with prospects of advancing it to the attosecond regime. The reason is that temporal electron pulse broadening does not deteriorate the temporal resolution because electrons are only used to achieve a high spatial resolution. The temporal resolution is reached by using very short light pulses in a pump-probe setup. A first pulse optically excites dynamics like surface plasmons on a sample surface and a second pulse probes the dynamics after a certain waiting time by photoemitting electrons. The photoemission rate is influenced by the local excitation level of the sample. Hence, spatial information about the dynamics on the sample can be gained. By repeating this experiment with a series of waiting times between pump and probe pulse, a movie of the dynamics on a sample can be recorded.
Laser pulses in the visible spectral range are typically used in combination with a PEEM. They offer a temporal resolution of a few to 100 fs. In recent years, pulses with shorter wavelengths have been used to achieve a more direct access to the instantaneous electron excitation in the material. Here, a first pulse in the visible excites dynamics near the sample surface and a second pulse with a photon energy significantly above the work function of the material emits the electrons. By employing additional time-of-flight or high-pass energy recording in the PEEM, information about the instantaneous electronic distribution in a nanostructure can be extracted with high spatial and temporal resolution.
Efforts to achieve attosecond temporal resolution and with that directly record optical fields around nanostructures with so far unreached spatio-temporal resolution, are still ongoing.

## Limitations

The general limitation of PEEM, which is common with most surface science methods, is that the PEEM operates only under fairly restricted vacuum conditions. Whenever electrons are used to excite a specimen or carry information from its surface there has to be a vacuum with an appropriate mean free path for the electrons. With in-situ PEEM techniques, water and aqueous solution can be observed by PEEM.
The resolution of PEEM is limited to about 10 nm, which results from a spread of the photoelectron emission angle. Angle resolved photoemission spectroscopy (ARPES) is a powerful tool for structure analysis. However, it may be difficult to make angle-resolved and energy-selective PEEM measurements because of a lack of intensity. The availability of synchrotron-radiation light sources can offer exciting possibilities in this regard.

## Comparison with other techniques

Transmission electron microscopy (TEM) and scanning electron microscopy (SEM): PEEM differs from these two microscopies by using an electric accelerating field at the surface of specimen. The specimen is part of the electron-optical system.
Low-energy electron microscopy (LEEM) and mirror electron microscopy (MEM): these two electron emission microscopy use electron gun supply beams which are directed toward the specimen, decelerated and backscattered from the specimen or reflected just before reaching the specimen. In photoemission electron microscopy (PEEM) the same specimen geometry and immersion lens are used, but the electron guns are omitted.

## New PEEM technologies

Time resolved photoemission electron microscopy (TR-PEEM) is well suited for real-time observation of fast processes on surfaces equipped with pulsed synchrotron radiation for illumination.
* Time-of-flight Photoemission electron microscopy (TOF-PEEM): TOF-PEEM is PEEM using an ultrafast gated CCD camera or a time-and space-resolving counting detector for observing fast processes on surfaces.
* Multiphoton Photoemission electron microscopy: Multiphoton PEEM can be employed for the study of localized surface plasmon excitations in nanoclusters or for direct spatial observation of the hot-electron lifetime in structured films using femtosecond lasers.
* PEEM in liquids and dense gases: The development of microfabricated thin liquid cells in late 1990s enabled wide field-of-view transmission X-ray microscopy of liquid and gaseous samples confined between two SiN membranes. In such a configuration, the vacuum side of the second membrane was coated with the photoemitting material and PEEM was used to record the spatial variations of the transmitted light. True PEEM imaging of liquid interfaces in photoelectrons has been realized through ultrathin electron transparent membranes such as graphene. Further development of the UHV compatible graphene liquid cells enabled studies of electrochemical and electrified liquid–solid interfaces with standard PEEM setups without the use of the differential pumping.