Latent image
Encyclopedia
A latent image on photographic film
Photographic film
Photographic film is a sheet of plastic coated with an emulsion containing light-sensitive silver halide salts with variable crystal sizes that determine the sensitivity, contrast and resolution of the film...

 is an invisible image produced by the exposure of the film to light
Light
Light or visible light is electromagnetic radiation that is visible to the human eye, and is responsible for the sense of sight. Visible light has wavelength in a range from about 380 nanometres to about 740 nm, with a frequency range of about 405 THz to 790 THz...

. When the film is developed
Photographic processing
Photographic processing is the chemical means by which photographic film and paper is treated after photographic exposure to produce a negative or positive image...

, the area that was exposed darkens and forms a visible image. In the early days of photography, the nature of the invisible change in the silver halide
Silver halide
A silver halide is one of the compounds formed between silver and one of the halogens — silver bromide , chloride , iodide , and three forms of silver fluorides. As a group, they are often referred to as the silver halides, and are often given the pseudo-chemical notation AgX...

 crystals of the film's emulsion
Emulsion
An emulsion is a mixture of two or more liquids that are normally immiscible . Emulsions are part of a more general class of two-phase systems of matter called colloids. Although the terms colloid and emulsion are sometimes used interchangeably, emulsion is used when both the dispersed and the...

 coating was unknown, so the image was said to be "latent" until the film was treated with photographic developer
Photographic developer
In the processing of photographic films, plates or papers, the photographic developer is a chemical that makes the latent image on the film or print visible. It does this by reducing the silver halides that have been exposed to light to elemental silver in the gelatine matrix...

.

In more physical terms, latent image is a small cluster of metallic silver
Silver
Silver is a metallic chemical element with the chemical symbol Ag and atomic number 47. A soft, white, lustrous transition metal, it has the highest electrical conductivity of any element and the highest thermal conductivity of any metal...

 atom
Atom
The atom is a basic unit of matter that consists of a dense central nucleus surrounded by a cloud of negatively charged electrons. The atomic nucleus contains a mix of positively charged protons and electrically neutral neutrons...

s formed in or on a silver halide crystal due to reduction
Redox
Redox reactions describe all chemical reactions in which atoms have their oxidation state changed....

 of interstitial silver ions by photoelectrons (a photolytic silver cluster). If intense exposure continues, such photolytic silver clusters grow to visible sizes. This is called printing out the image. On the other hand, the formation of a visible image by the action of photographic developer is called developing out the image.

The size of silver cluster in the latent image can be as small as a few silver atoms. However, in order to act as an effective latent image center, at least four silver atoms are necessary. On the other hand, a developed silver grain can have billions of silver atoms. Therefore, photographic developer is a chemical amplifier acting on the latent image, with a gain factor up to several billion. The development system was the most important technology that increased the photographic sensitivity in the history of photography.

Mechanism of formation

The action of the light with the silver halide
Silver halide
A silver halide is one of the compounds formed between silver and one of the halogens — silver bromide , chloride , iodide , and three forms of silver fluorides. As a group, they are often referred to as the silver halides, and are often given the pseudo-chemical notation AgX...

 grains within the emulsion forms sites of metallic silver on the grains. The basic mechanism by which this happens was first proposed by R W Gurney and N F Mott
Nevill Francis Mott
Sir Nevill Francis Mott, CH, FRS was an English physicist. He won the Nobel Prize for Physics in 1977 for his work on the electronic structure of magnetic and disordered systems, especially amorphous semiconductors. The award was shared with Philip W. Anderson and J. H...

 in 1938. The incoming photon
Photon
In physics, a photon is an elementary particle, the quantum of the electromagnetic interaction and the basic unit of light and all other forms of electromagnetic radiation. It is also the force carrier for the electromagnetic force...

 liberates an electron
Electron
The electron is a subatomic particle with a negative elementary electric charge. It has no known components or substructure; in other words, it is generally thought to be an elementary particle. An electron has a mass that is approximately 1/1836 that of the proton...

 from a silver halide molecule, called photoelectron. Photoelectrons migrate to a shallow electron trap site (a sensitivity site), where the electrons reduce silver ions to form a metallic silver speck. A positive hole must also be generated but it is largely ignored. Subsequent work has slightly modified this picture, so that 'hole' trapping is also called into question (Mitchell, 1957). Since then, the mechanism of sensitivity and latent image formation has been greatly improved.

Photographic sensitivity

One very important way to increase photographic sensitivity is to manipulate the electron traps in each crystal. A pure, defect-free crystal exhibits poor photographic sensitivity, since it lacks a shallow electron trap that facilitates the formation of latent image. In such a case, much of the photoelectrons will be wasted by recombination mechanism. Shallow electron traps are created by sulfur sensitization, introduction of a crystalline defect (edge dislocation), and incorporating a trace amount of non-silver salt as a dopant. The location, kind and number of shallow traps have a huge influence on the efficiency by which the photoelectrons create latent image centers, and consequently, on photographic sensitivity.

Another important way to increase photographic sensitivity is to reduce the threshold size of developable latent image. Gold sensitization of Koslowski creates a metallic gold specks on crystal surface, which by itself does not render the crystal developable. When latent image is formed around the gold speck, the presence of gold is known to reduce the number of metallic silver atoms necessary to render the crystal developable.

Another important concept in increasing photographic sensitivity is to separate photohole away from photoelectrons and sensitivity sites. This should reduce the probability of recombination. Reduction sensitization is one possible implementation of this concept. Recent 2-electron sensitization technique is built on this concept. However, the scientific knowledge on the behavior of photoholes is less well understood than that of photoelectrons.

On the other hand, a deep electron trap or a site that facilitates recombination will compete for photoelectrons and therefore reduces the sensitivity. However, these manipulations are used, for example, to enhance contrast of the emulsion.

Reciprocity Law Failure

Reciprocity law failure is a phenomenon that same amount of exposure (irradiance multiplied by duration of exposure) produces different image density when the irradiance (and thus duration) is varied.

There are two kinds of reciprocity failure. They are both related to poor efficiency of utilizing photoelectrons to create latent image centers.

High intensity reciprocity failure (HIRF)

High intensity reciprocity failure (HIRF) is common when the crystal is exposed by intense but brief light, such as flash tube. This reduces photographic speed and contrast. This is common with emulsions optimized for highest sensitivity with long exposure using old emulsion technology.

HIRF is due to creation of many latent subimages that are not developable due to small size. Because of brief and intense exposure, many photoelectrons are created simultaneously. They make many latent subimages (that cannot render the crystal developable), rather than one or a few latent images (that can).

HIRF can be improved by incorporating dopants that create temporary deep electron traps, optimizing the degree of sulfur sensitization, introducing crystalline defect (edge dislocation).

In recent years, many photographic prints are made by scanning laser exposure. Each location on a photographic paper is exposed by very brief but intense laser. Problems due to HIRF were the major technical challenge in development of such products. Color photographic papers are usually made with very high percentage of silver chloride (about 99%) and the rest is bromide and/or iodide. Chloride emulsions have particularly poor HIRF and usually suffer from LIRF. Paper manufacturers use dopants and precise control of the dislocation sites to improve (to virtually eliminate) HIRF for this new application.

Low intensity reciprocity failure (LIRF)

Low intensity reciprocity failure (LIRF) occurs when the crystal is exposed with weak light of long duration, such as in astronomical photography.

LIRF is due to inefficiency of forming a latent image, and this reduces photographic speed but increases contrast. Due to low level of exposure irradiance (intensity), a single crystal may have to wait for a significant amount of time between absorbing sufficient number of photons. In the process of making a stable latent image center, a smaller and less stable silver speck is made. Further generation of photoelectrons is necessary to grow this small speck to a larger, stable, latent image. There is a positive probability that this intermediate unstable speck will decompose before next available photoelectrons can stabilize it. This probability increases with decreasing irradiance level.

LIRF can be improved by optimizing the stability of latent subimage, optimizing sulfur sensitization, and introduction of crystalline defect (edge dislocation).

Location of latent image

Depending on the silver halide crystal, the latent image may be formed inside or outside of the crystal. Depending on where the LI is formed, the photographic properties and the response to developer vary. Current emulsion technology allows very precise manipulation of this factor by a number of ways.

Each emulsion has a place within each crystal where LI's are formed preferentially. They are called "sensitivity centers." Emulsions that form LI in the interior are called internal(ly) sensitive emulsions, and those that form LI on the surface are called surface sensitive emulsions. The sensitivity type largely reflects the site of very shallow electron traps that form latent images effectively.

Most, if not all, old technology negative film emulsions had many unintentionally created edge dislocation sites (and other crystalline defects) internally and sulfur sensitization was performed on the surface of the crystal. Because multiple sensitivity centers are present, the emulsion had both internal and surface sensitivity. That is, photoelectrons may migrate to one of many sensitivity centers. In order to exploit the maximum sensitivity of such emulsions, it is generally considered that the developer must have some silver halide solvent action to make the internal latent image sites accessible. Many modern negative emulsions introduce a layer just under the crystal surface where a sufficient number of edge dislocation is intentionally created, while maintaining the bulk of the crystal interior defect-free. Chemical sensitization (e.g., sulfur plus gold sensitization) is applied on the surface. As a result, the photoelectrons are concentrated to a few sensitivity sites on or very near the crystal surface, thereby greatly enhancing the efficiency with which the latent image is produced.

Emulsions with different structures were made for other applications, such as direct positive emulsions. Direct positive emulsion has fog center built into the core of the emulsion, which is bleached by photoholes generated upon exposure. This type of emulsion produces positive image upon development in a conventional developer, without reversal processing.

Development of silver halide crystals

A developer solution
Photographic developer
In the processing of photographic films, plates or papers, the photographic developer is a chemical that makes the latent image on the film or print visible. It does this by reducing the silver halides that have been exposed to light to elemental silver in the gelatine matrix...

 converts silver halide crystals to metallic silver grains, but it acts only on those having latent image centers. (A solution that converts all silver halide crystals to metallic silver grains is called fog
Fog
Fog is a collection of water droplets or ice crystals suspended in the air at or near the Earth's surface. While fog is a type of stratus cloud, the term "fog" is typically distinguished from the more generic term "cloud" in that fog is low-lying, and the moisture in the fog is often generated...

ging developer
and such a solution is used in the second developer of reversal processing.) This conversion is due to electrochemical reduction, wherein the latent image centers act as a catalyst.

Reduction potential of the developer

A developer solution must have a reduction potential that is strong enough to develop sufficiently exposed silver halide crystals having a latent image center. At the same time, developer must have reduction potential that is weak enough not to reduce unexposed silver halide crystals.

In a suitably formulated developer, electrons are injected to the silver halide crystals only through silver speck (latent image). Therefore it is very important for the chemical reduction potential of the developer solution (not the standard reduction potential of the developing agent) to be somewhere higher than the Fermi energy level of small metallic silver clusters (that is, latent image) but well below the conduction band of unexposed silver halide crystals.

Generally, weakly exposed crystals have smaller silver clusters. Silver clusters of smaller sizes have higher Fermi level, and therefore more crystals are developed as the developer's reduction potential is increased. However, again, the developer potential must be well below the conduction band of silver halide crystal. Thus there is a limit in increasing the photographic speed of the system by boosting the developer potential; if the solution's reduction potential is set high enough to exploit smaller silver cluster, at some point the solution begins to reduce silver halide crystals regardless of exposure. This is called fog
Fog
Fog is a collection of water droplets or ice crystals suspended in the air at or near the Earth's surface. While fog is a type of stratus cloud, the term "fog" is typically distinguished from the more generic term "cloud" in that fog is low-lying, and the moisture in the fog is often generated...

, which is metallic silver made from non-imagewise (exposure-nonspecific) reduction of silver halide crystals. It was also found that, when developer solution is optimally formulated, the maximum photographic speed is rather insensitive to the choice of developing agent (James 1945), and there exists a limit for the size of silver cluster determining the developability of the crystal.

One way to improve this problem is the use of gold sensitization of Koslowski. A small metallic gold cluster whose Fermi level is high enough to prevent development of the crystal is used to decrease the threshold size of metallic silver cluster that can render the crystal developable.

For further discussion, refer to Tani 1995 and Hamilton 1988.

Stability of latent image

Under normal conditions the latent image, which may be as small as a few atoms of metallic silver on each halide grain, is stable for many months. Subsequent development can then reveal a visible metallic image. (Photographic developers reduce the silver halide grains to silver, but are designed to work preferentially on silver halid crystals with a latent image centers present.

A famous instance of latent-image stability is the picture taken of the ill-fated balloon expedition of Salomon Andree
Salomon August Andrée
Salomon August Andrée , during his lifetime most often known as S. A. Andrée, was a Swedish engineer, physicist, aeronaut and polar explorer who died while leading an attempt to reach the Geographic North Pole by hydrogen balloon...

 and his party to the North Pole
North Pole
The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is, subject to the caveats explained below, defined as the point in the northern hemisphere where the Earth's axis of rotation meets its surface...

in 1897. The pictures of the expedition and of the balloon stranded on the ice were not discovered and developed until some 33 years later (see Coe, ch 10 for picture).
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