11.07.2015 Views

Radiography in Modern Industry - Kodak

Radiography in Modern Industry - Kodak

Radiography in Modern Industry - Kodak

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

The mark of the success of a theory is its ability to provide an understand<strong>in</strong>g of previously<strong>in</strong>explicable phenomena. The Gurney-Mott theory and those derived from it have been notablysuccessful <strong>in</strong> expla<strong>in</strong><strong>in</strong>g a number of photographic effects. One of these effects--reciprocity-lawfailure--will be considered here as an illustration.Low-<strong>in</strong>tensity reciprocity-law failure (See left branch of the curve <strong>in</strong> Figure 120) results from thefact that several atoms of silver are required to produce a stable latent image. A s<strong>in</strong>gle atom ofsilver at a latent-image site (See Figure 130D) is relatively unstable, break<strong>in</strong>g down rather easily<strong>in</strong>to an electron and a positive silver ion. Thus, if there is a long <strong>in</strong>terval between the formation ofthe first silver atom and the arrival of the second conduction electron (See Figure 130E), the firstsilver atom may have broken down, with the net result that the energy of the light photon thatproduced it has been wasted. Therefore, <strong>in</strong>creas<strong>in</strong>g light <strong>in</strong>tensity from very low to higher values<strong>in</strong>creases the efficiency, as shown by the downward trend of the left-hand branch of the curve <strong>in</strong>Figure 120, as <strong>in</strong>tensity <strong>in</strong>creases.High-<strong>in</strong>tensity reciprocity-law failure (See right branch of the curve of Figure 120) is frequently aconsequence of the sluggishness of the ionic process <strong>in</strong> latent-image formation (See Figure 130).Accord<strong>in</strong>g to the Gurney-Mott mechanism, a trapped electron must be neutralized by themovement of an <strong>in</strong>terstitial silver ion to that spot (See Figure 130D) before a second electron canbe trapped there (See Figure 130E); otherwise, the second electron is repelled and may betrapped elsewhere. Therefore, if electrons arrive at a particular sensitivity center faster than theions can migrate to the center, some electrons are repelled, and the center does not build up withmaximum efficiency. Electrons thus denied access to the same traps may be trapped at others,and the latent image silver therefore tends to be <strong>in</strong>efficiently divided among several latent-imagesites. (This has been demonstrated by experiments that have shown that high-<strong>in</strong>tensity exposureproduces more latent image with<strong>in</strong> the volume of the crystal than do either low- or optimum<strong>in</strong>tensityexposures.) Thus, the result<strong>in</strong>g <strong>in</strong>efficiency <strong>in</strong> the use of the conduction electrons isresponsible for the upward trend of the right-hand branch of the curve.X-Ray Latent ImageIn <strong>in</strong>dustrial radiography, the photographic effects of x-rays and gamma rays, rather than those oflight, are of the greater <strong>in</strong>terest.At the outset it should be stated that the agent that actually exposes a photographic gra<strong>in</strong>, that is,a silver bromide crystal <strong>in</strong> the emulsion, is not the x-ray photon itself, but rather the electrons--photoelectric and Compton--result<strong>in</strong>g from the absorption event. It is for this reason that direct x-ray exposures and lead foil screen exposures are similar and can be considered together.The most strik<strong>in</strong>g differences between x-ray and visible-light exposures to gra<strong>in</strong>s arise from thedifference <strong>in</strong> the amounts of energy <strong>in</strong>volved. The absorption of a s<strong>in</strong>gle photon of light transfersa very small amount of energy to the crystal. This is only enough energy to free a s<strong>in</strong>gle electronfrom a bromide (Br-) ion, and several successive light photons are required to render a s<strong>in</strong>glegra<strong>in</strong> developable. The passage through a gra<strong>in</strong> of an electron, aris<strong>in</strong>g from the absorption of anx-ray photon, can transmit hundreds of times more energy to the gra<strong>in</strong> than does the absorptionof a light photon. Even though this energy is used rather <strong>in</strong>efficiently, <strong>in</strong> general the amount issufficient to render the gra<strong>in</strong> traversed developable--that is, to produce with<strong>in</strong> it, or on it, a stablelatent image.As a matter of fact, the photoelectric or Compton electron, result<strong>in</strong>g from absorption or <strong>in</strong>teractionof a photon, can have a fairly long path <strong>in</strong> the emulsion and can render several or many gra<strong>in</strong>sdevelopable. The number of gra<strong>in</strong>s exposed per photon <strong>in</strong>teraction can vary from 1 gra<strong>in</strong> for x-radiation of about 10 keV to possibly 50 or more gra<strong>in</strong>s for a 1 meV photon. However, for 1 meVand higher energy photons, there is a low probability of an <strong>in</strong>teraction that transfers the totalenergy to gra<strong>in</strong>s <strong>in</strong> an emulsion. Most commonly, high photon energy is imparted to several<strong>Radiography</strong> <strong>in</strong> <strong>Modern</strong> <strong>Industry</strong> 204

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!