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               806                                                                                 Infrared Spectroscopy


               with only a small raised area of the flat surface that allows  The sampling region can be viewed visually through the
               spectra to be taken of quite small areas. Since there is only  microscope, and selected areas can be isolated by mask-
               one internal reflection, the crystal used, such as silicon, has  ing off the unwanted parts of the field. Variable aperture
               a very high index of refraction.                  masks are located in remote image planes of the sample
                 There are many applications for internal reflectance  area,locatedaboveandbelowthesampletoreducediffrac-
               spectroscopy, and only a few will be mentioned here. In-  tion effects. Then, the optical path is changed so that the
               ternal reflectance spectroscopy can be used to obtain the  source radiation goes through the unmasked areas and the
               spectra of rubbery materials that are hard to grind. The  infrared spectrum of the sample is recorded. This can be
               rubbery material is simply pressed against the internal re-  divided by the spectrum of a similarly masked blank for
               flectance plate, and it is ready to run. Carbon-filled rubber  example, to give a percent transmission spectrum of the
               or other polymers may be run using a high index of refrac-  sample, or from this, an absorbance-type spectrum of the
               tion germanium as the internal reflectance element. Inter-  sample.
               nal reflectance is used to obtain selectively the top few  The types of applications are basically similar to those
               micrometers of a sample surface where the composition  handled by transmission spectroscopy, but with a signif-
               may be different than that further down. It is also good for  icant difference. The microscope can yield good spec-
               water solutions because the controlled penetration keeps  tra on much smaller sample areas. This means that many
               the effective sample thickness small.             new types of problems can be handled that were difficult
                                                                 or impossible to solve with standard instruments. Sam-
                                                                 ple areas that are heterogeneous are now easily measured
               J. Diffuse Reflectance
                                                                 in the chemical industry, forensic work, and biological
               Diffuse reflectance is a technique usually used with FT-  studies.
               IR instruments. A powdered sample is placed in a small  In the chemical industry for example, some polymer
               container, where source radiation strikes it and is diffusely  products may show some very small impurity areas whose
               reflected in various directions. This radiation is collected  chemical composition may be characterized with little
               and measured by the spectrometer. Usually in the mid-IR  difficulty by the spectra. Polymer films weathered by
               region the finely powdered sample is diluted to 5 to 10%  outdoor exposure may show chemical modification as a
               with finely powdered KBr or KCl. The spectrum is ra-  function of the layer depth below the surface. This may
               tioed against a reference spectrum of pure powdered KBr  be characterized by the infrared spectra of the various
               or KCl. The ratioed spectrum is processed by a computer  layers.
               using a function f (R ∞ ) derived by Kubelka and Munk,  In forensic work, heterogeneous fields can be ex-
               which changes the reflectance spectrum into one resem-  amined selectively for hair strands, polymer fibers, or
               bling a linear absorbance spectrum:               lint particles, for example, and their chemical com-
                         (1 − R ∞ ) 2  k        R ∞ (sample)     position can be characterized by their infrared spec-
                f (R ∞ ) =        =       R ∞ =            .     tra. Cross-sections of paint chips can be examined and
                                    s           R ∞ (reference)
                                                                 the various layers can be characterized, which may be
                           2R ∞
                                                         (14)    distinctive.
                                                                   In the biological field, heterogeneous areas of various
               Here (R ∞ ) is the reflectance of a thick scattering layer, k
                                                                 biological specimens can be examined, and the infrared
               the molar extinction coefficient, and s a scattering coeffi-
                                                                 spectrum of different microareas of the field can be taken.
               cient, which is a function of particle size. The spectrum is
                                                                 The spectrum of a single red blood corpuscle can be eas-
               quite sensitive to particle size, which affects the radiation
                                                                 ily measured. One difference that can be observed in these
               scattering. Spectral distortion (compared with a transmis-
                                                                 samples is the ratio of protein to fat. Proteins have bands
               sion spectrum) may occur if the particle size is not uni-            −1
                                                                 near 1650 and 1550 cm  for the O C-NH group, and fats
               formly fine. Black, strongly scattering materials such as
                                                                 have an ester C O band near 1740 cm −1  and an alkane
               coal can be run by this technique.
                                                                                               −1
                                                                 chain doublet near 2925 and 2855 cm , with an internal
                                                                 unsaturation band near 3015 cm −1  for the  CH group.
               K. Infrared Microspectroscopy
                                                                 Some studies may reveal chemical differences between
               In this method of sampling, a special type of microscope  adjacent tissues of various types. The spectral character-
               is used to select very small sample areas for examination  istics of two-dimensional areas may be mapped by running
               by the infrared spectrometer. As in the macroscopic case,  a series of spectra of a grid pattern. An array consisting
               samples can be prepared with thicknesses on the order  of a number of detectors can be used, each one of which
               of 0.01 mm. Since infrared radiation must pass through  generates the infrared spectrum of its own small area of
               the microscope, all the optics are front surface mirrors.  the grid pattern.
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