Raman spectroscopy in coatings research and analysis: Part I. Basic principles.In a previous article in the JCT JCT Junction JCT Jerusalem College of Technology JCT Joint Contracts Tribunal (UK build contracts governing body) JCT Journal of Coatings Technology JCT John Christner Trucking JCT Journal of Curriculum Theorizing COATINGSTECH Analytical Series, Chalmers discussed the use of infrared (IR) spectroscopy for characterizing and testing coatings. (1) In this two-part companion article, we describe the use of a complementary technique, Raman spectroscopy Raman spectroscopy is a spectroscopic technique used in condensed matter physics and chemistry to study vibrational, rotational, and other low-frequency modes in a system.[1] , for the same purposes. In common with Chalmers, we will not discuss the detailed principles of either small molecule or polymer characterization using Raman (or IR) spectroscopy; there are a large number of excellent review articles and textbooks which fulfill this purpose. Furthermore, we will not cover the basic aspects of Raman spectroscopy for the same reason. Rather, we concentrate on those aspects of Raman spectroscopy that are specific to coating science and technology, expanding on the fundamental principles only when necessary for clarity. Emphasis will be on organic coatings, but some attention will be paid to inorganics too. With this in mind, Part I of this tutorial attempts to address the following questions: * What sort of information can be obtained using Raman spectroscopy? * How is a coating studied in a typical Raman experiment? * How thin (or thick) of a coating can we study, and what is the influence of the substrate? After discussing these issues, Part II of this tutorial ([dagger]) will focus on mapping or imaging chemical or structural variations in a coating. Examples, drawn both from the literature and the author's own work, will be used to illustrate the capabilities and limitations of the technique. This tutorial is not intended to be an exhaustive applications review, but hopefully it will indicate the wide variety of chemical and physical characterization problems that can be addressed. WHAT INFORMATION CAN BE DERIVED FROM A RAMAN SPECTRUM? Interpretation and Identification of Unknowns The frequency of a Raman (or IR) band is determined by the masses of the atoms in a molecule or crystal, their equilibrium spatial arrangement Noun 1. spatial arrangement - the property possessed by an array of things that have space between them spacing placement, arrangement - the spatial property of the way in which something is placed; "the arrangement of the furniture"; "the placement of the , their equilibrium spatial arrangement, their relative displacements during a vibration, and the bond force constants. The intensity depends on either the change in polarizability (Raman) or dipole moment Dipole moment A mathematical quantity characteristic of a dipole unit equal to the product of one of its charges times the vector distance separating the charges. (IR) during the vibration. Anything that changes the equilibrium shape, the atomic masses, or the force constants (including intermolecular Adj. 1. intermolecular - existing or acting between molecules; "intermolecular forces"; "intermolecular condensation" interactions) can change both the frequency and intensity of a band--hence, the sensitivity of vibrational spectroscopy to chemical and physical structure. Different parts of the same molecule tend to be strongly coupled, so changing a single atom in the molecule can perturb many of its vibrations. This means that a subtle structural change can have a large impact, with the advantage that Raman and IR spectra provide a unique fingerprint for a given molecule in a given conformation con·for·ma·tion n. One of the spatial arrangements of atoms in a molecule that can come about through free rotation of the atoms about a single chemical bond. . The disadvantage is that it is very difficult to accurately predict the detailed spectrum of any but the simplest molecule. It is simple to use Group Theory to predict the numbers of bands expected in the IR and Raman spectra of molecules (2) or crystals, (3) but it is difficult to predict their absolute frequency or intensity. So, while most undergraduates could give a rather accurate manual prediction of an NMR NMR: see magnetic resonance. spectrum of a small molecule, the same task for the vibrational spectrum requires sophisticated computer software. Even then, there will often be significant errors in band positions and intensities. This situation is improving with the widespread availability of user-friendly quantum chemistry
Quantum chemistry is a branch of theoretical chemistry, which applies quantum mechanics and quantum field theory to address issues and problems in chemistry. software, but even the best available predictions typically have frequency errors of several percent, which equates to several tens of [cm.sup.-1]. This is more than enough to cause confusion when trying to rationalize computed and observed spectra. Most workers who routinely use vibrational spectroscopy do so on the basis of so-called group frequencies. These use the fact that certain groupings tend to give rise to IR or Raman bands that fall within well defined ranges, irrespective of irrespective of prep. Without consideration of; regardless of. irrespective of preposition despite the structure of the rest of the molecule. Numerous tabulations of group frequencies are available that can help identify the likely functional groupings that are present in an unknown material, (4-6) but because many of the bands are due to collective vibrations throughout a molecule, it is usually impossible to assign the origin of every band in a spectrum (nor is it necessary for general purposes). In practice, for many workers the first course of action when confronted by an unknown spectrum is to use spectral searching software to match the unknown to a database of reference spectra. Undoubtedly, this is a very useful approach, but it is worth getting into the habit of checking the spectra of any potential matches using the functional group approach, just to ensure that the results make sense. Most seasoned vibrational spectroscopists have their own favorite examples of misleading results thrown up by databases, often due to mislabelling of reference spectra. In these cases, even a cursory functional group analysis could avoid an embarrassing mistake. A more serious problem is the comparative paucity of electronic Raman reference data; this is improving with time as Raman becomes a more common analytical technique An analytical technique is a method that is used to determine the concentration of a chemical compound or chemical element. There are a wide variety of techniques used for analysis, from simple weighing (gravimetric) to titrations (titrimetric)to very advanced techniques using . Composition and Structure Often a worker has a good idea of the general classification of a material, but requires information on more subtle issues of composition. These could include nature and relative amount of comonomers, molecular conformation and configuration, presence of additives and fillers, end groups, sequence and branching, degree of cure/degree of polymerization polymerization Any process in which monomers combine chemically to produce a polymer. The monomer molecules—which in the polymer usually number from at least 100 to many thousands—may or may not all be the same. , residual monomer monomer (mŏn`əmər): see polymer. monomer Molecule of any of a class of mostly organic compounds that can react with other molecules of the same or other compounds to form very large molecules (polymers). , and blend composition. Raman spectroscopy offers information on all of these properties, to a greater or lesser extent. One can also probe physical properties, including molecular orientation, degree of crystallinity, polymorphs or allotropes, crystal and domain size, crystal defects, and stress/strain. Coat thickness and uniformity can also be measured in favorable circumstances. Quantitation The band intensity depends on the concentration of scattering species in the laser beam, so Raman spectroscopy is, in principle, a quantitative technique. There is often a linear relationship between concentration and band intensity, but the constant of proportionality Noun 1. constant of proportionality - the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality factor of proportionality must be obtained by calibration using materials of known composition. It is unwise simply to assume that if the band intensity doubles or halves, then the concentration varies to the same extent; one needs to prove a linear relationship before making this assertion. Furthermore, many factors can affect the absolute band intensity; for example, laser power, alignment of the sample and collection optics, and the throughput of the spectrometer. Unlike Fourier transform Fourier transform In mathematical analysis, an integral transform useful in solving certain types of partial differential equations. A function's Fourier transform is derived by integrating the product of the function and a kernel function (an exponential function raised to infrared (FTIR FTIR Fourier Transform Infrared (spectroscopy) FTIR Frustrated Total Internal Reflection FTIR Fourier Transfer Ir ) spectroscopy, where the sample spectrum is normalized using a background curve to yield an absolute transmission or absorbance absorbance /ab·sor·bance/ (-sor´bans) 1. in analytical chemistry, a measure of the light that a solution does not transmit compared to a pure solution. Symbol . 2. spectrum, Raman is a single beam technique; there is no equivalent normalization In relational database management, a process that breaks down data into record groups for efficient processing. There are six stages. By the third stage (third normal form), data are identified only by the key field in their record. process. This means that measuring the same sample from day to day could give very different intensities. To compensate, in practice one normally uses a reference band to normalize normalize to convert a set of data by, for example, converting them to logarithms or reciprocals so that their previous non-normal distribution is converted to a normal one. the spectral intensity. The normalization band could be from a solvent, or from another component in a mixture. The ratio of the analyte band to the reference band should then only vary with the analyte/reference concentration ratio. Figure 1 illustrates this approach using the example of a terpolymer ter·pol·y·mer n. A polymer that consists of three distinct monomers. [Latin ter, thrice; see trei- in Indo-European roots + polymer.] of styrene sty·rene n. A colorless oily liquid from which polystyrenes, plastics, and synthetic rubber are produced. Also called vinylbenzene. (S), methyl methacrylate methyl methacrylate (meth´il methak´rilāt), n an acrylic resin, CH2 = C(CH3)COOCH3, derived from methyl acrylic acid. Monomer is the single molecule and polymer is the polymerization product. (MMA (Microcomputer Managers Association, Inc.) A membership organization with chapters throughout the U.S. that was devoted to educating personnel responsible for personal computers. It disbanded in 1996. Mma - A fast Mathematica-like system, in Allegro CL by R. Fateman, 1991. ), and butyl butyl /bu·tyl/ (bu´t'l) a hydrocarbon radical, C4H9. bu·tyl n. A hydrocarbon radical, C4H9. butyl a hydrocarbon radical, C4H9. acrylate Noun 1. acrylate - a salt or ester of propenoic acid propenoate salt - a compound formed by replacing hydrogen in an acid by a metal (or a radical that acts like a metal) (BuA). (7) A set of samples that were prepared with different monomer ratios were first analyzed using NMR spectroscopy Nuclear magnetic resonance spectroscopy most commonly known as NMR spectroscopy is the name given to the technique which exploits the magnetic properties of certain nuclei. This phenomenon and its origins are detailed in a separate section on Nuclear magnetic resonance. to accurately determine the composition. The Raman spectra were then calibrated cal·i·brate tr.v. cal·i·brat·ed, cal·i·brat·ing, cal·i·brates 1. To check, adjust, or determine by comparison with a standard (the graduations of a quantitative measuring instrument): in a two-step process. First, the intensity ratio of the 842 and 812 [cm.sup.-1] Raman bands (which arise from C-C C-C Carbon-Carbon C-C Carotid-Cavernous (relating to the carotid artery and the sinuses) vibrations from the respective polymerized monomers) was correlated with the BuA/MMA mass ratio. This gives a calibration for the ratio of the two acrylic monomers. Then, the styrene/total acrylic mass ratio [S/(BuA+MMA)] was correlated with the intensity ratio of the 1603 [cm.sup.-1] (pendant aromatic) and 1731 [cm.sup.-1] (ester carbonyl carbonyl /car·bon·yl/ (kahr´bah-nil) the bivalent organic radical, C:O, characteristic of aldehydes, ketones, carboxylic acid, and esters. car·bon·yl n. The bivalent radical CO. ) bands. Figure 1 shows the quality of fit for both calibrations. In fact, the S/(BuA+MMA) fit is somewhat fortuitous, since it relies on the fact that the ester carbonyl intensity happens, in this case, to depend solely on the combined mass of BuA and MMA present (i.e., it is insensitive to the monomer type). If this were not the case, we could instead ratio the 1603 [cm.sup.-1] styrene band against the 812 [cm.sup.-1] (MMA) or 842 [cm.sup.-1] (BuA) bands to give two separate correlations. [FIGURE 1 OMITTED] This calibration was necessary because, in practice, these materials are crosslinked using a functionalized acrylate as a fourth monomer. The crosslinked product is insoluble and intractable to NMR analysis, but the crosslinker is at too low a level to invalidate the NMR-Raman calibration. Therefore, we can use the calibrated Raman technique to analyze commercial materials (including the degree of crosslinking, by monitoring consumption of the pendant crosslinker). This is a useful general approach--use a high information content, primary technique such as NMR to provide detailed quantitative structural information, calibrate To adjust or bring into balance. Scanners, CRTs and similar peripherals may require periodic adjustment. Unlike digital devices, the electronic components within these analog devices may change from their original specification. See color calibration and tweak. Raman spectra using the NMR data, and then apply Raman spectroscopy in situations where the primary technique is inapplicable in·ap·pli·ca·ble adj. Not applicable: rules inapplicable to day students. in·ap . The primary technique could be compositional (often NMR or a set of manually prepared mixtures), or physical (X-ray diffraction, density, thermal analysis Thermal analysis is a branch of materials science where the properties of materials are studied as they change with temperature. Techniques include:
[FIGURE 2 OMITTED] Selection of an acceptable reference band is very important. In a simple mixture of non-interacting components, almost any non-overlapped band from a known component is acceptable. The band ratio should vary linearly with the component ratios, as shown in Figure 1. Difficulties arise when components interact differently at different concentrations. With copolymers, we sometimes find that, as the concentration ratio varies, we move from a random to a blocky sequence, so the intrinsic band intensities change as a result. This would be manifested as a nonlinear calibration curve In analytical chemistry, a calibration curve is a general method for determining the concentration of a substance in an unknown sample by comparing the unknown to a set of standard samples of known concentration. . For another example, it might be tempting to use one of the water Raman bands as a reference for aqueous solutions, but the intrinsic intensity and shape of the water bands usually depends on the solute solute /so·lute/ (sol´ut) the substance dissolved in solvent to form a solution. sol·ute n. concentration. This is because the water structure is perturbed per·turb tr.v. per·turbed, per·turb·ing, per·turbs 1. To disturb greatly; make uneasy or anxious. 2. To throw into great confusion. 3. by the dissolved species. A rather different problem arises when trying to monitor the extent of a chemical reaction. One measures loss of a reactive species (such as C=C), but needs a reference band from a vibration that is not strongly coupled to the reactive group. Otherwise, the intrinsic intensity of the reference band will change during the reaction. The polymerization of styrene is a good specific example; one can easily follow the loss of the vinyl C=C group (~1630 [cm.sup.-1]), but this group is conjugated conjugated adj. Conjugate. estrogens, conjugated Warning - Hazardous drug! C.E.S. to the aromatic ring aromatic ring, n closed ring structure formed by six carbon atoms, with a single hydrogen atom attached to each one. Also called a phenyl ring or a benzene ring. , so the nearby 1602 [cm.sup.-1] ring band changes intensity very dramatically when the C=C bond reacts. In fact, the 1602 [cm.sup.-1] band is over five times more intense in the monomer than it is at the same concentration in the polymer, due to the loss of conjugation conjugation, in genetics conjugation, in genetics: see recombination. conjugation, in grammar conjugation: see inflection. on reaction, so it makes a wholly unsuitable internal standard. (8) In this case, a solvent band would provide a more reliable reference. The quantitative effect on a calibration curve of a non-constant reference band has been discussed in detail elsewhere. (7) Finally, we should mention that there are a variety of calibration techniques that do not require manual selection of Raman bands for the analytes of interest. Among the most popular are the multivariate methods such as partial least squares analysis (PLS See playlist. ). These methods automatically select bands that correlate well with the property of interest, which could be compositional, as above, or a physical property such as crystallinity. However, even these methods require a normalization step, to account for the large variations in overall spectral intensity that can occur when measuring the same sample from day to day. One method that we have found to work well is to normalize the total area under each spectrum (or the spectral range of interest) to unity. We have used this approach to build PLS models to measure the crystallinity of poly(ethylene terephthalate Ter`eph´tha`late n. 1. (Chem.) A salt of terephthalic acid. ) (PET) and poly(ethylene) (PE) from their Raman spectra. (9,10) Alternatively, the user can select an appropriate reference band to scale the spectra. Vickers and Mann have given a useful summary of factors to be considered for quantitative Raman spectroscopy. (11) Ordering in Semi-Crystalline Systems When a polymer crystallizes, significant lengths of the chain adopt a regular, extended conformation, and these ordered lengths become aligned to form a regular lattice in three dimensions. Crystallization Crystallization The formation of a solid from a solution, melt, vapor, or a different solid phase. Crystallization from solution is an important industrial operation because of the large number of materials marketed as crystalline particles. therefore involves intramolecular in·tra·mo·lec·u·lar adj. Within a molecule. in tra·mo·lec and intermolecular ordering. The
change in conformation has by far the largest effect on the vibrational
spectrum; this is because the shape of the molecule is a major factor in
determining the band frequency and intensity. The 3D alignment of
neighboring chains usually has a much smaller effect due to the relative
weakness of intermolecular interactions, although strong interactions
(such as intermolecular H-bonding in polyamides) can have a large effect
on band positions and intensities. Weak interactions are often
manifested by band splitting as the local symmetry In physics, a symmetry describes a quality of a physical system that is independent upon modifying variables that describe that system (one says that the theory is invariant under such transformations). becomes reduced; a
classic case is the splitting of the IR band at 720 [cm.sup.-1] in the
spectrum of poly(ethylene). In fact, many of the spectral changes that
have been attributed to polymer crystallization should be more correctly
referred to as regularity bands, arising from conformation rather than
chain packing. One rarely obtains a direct measure of crystallinity from
a vibrational spectrum, and this can cause confusion in cases where one
can vary the conformation without inducing crystallization. For example,
PET can be cold-drawn to produce highly extended, regular polymer chains
but without generating the intermolecular registration required for
crystallization. (12) The distinction between conformation, regularity,
and crystallinity effects was clearly made long ago, (13) but incorrect
terminology and confusion still occur occasionally in the literature.
SAMPLING CONSIDERATIONS General The infrared spectroscopist has a diverse array of sampling techniques for surface analysis. (1) For example, it is trivial to selectively examine the surface 1 [micro]m of a material using Attenuated Attenuated Alive but weakened; an attenuated microorganism can no longer produce disease. Mentioned in: Tuberculin Skin Test attenuated having undergone a process of attenuation. Total Reflection (ATR ATR Achilles tendon reflex, see Ankle reflex )-FTIR spectroscopy. In contrast, it is actually rather difficult to obtain a pure Raman spectrum on the same scale, so in that sense Raman spectroscopy is less suited for routine surface analysis. Most Raman experiments use a lens to focus a laser beam onto a sample (exceptions being near-field Raman spectroscopy, (14) some fiber optic probe designs, (15) and total internal reflection spectroscopy (16)). A focused laser beam has a diffraction-limited waist given by [w.sub.0] = 2f[lambda]/d, where f is the focal length Focal length A measure of the collecting or diverging power of a lens or an optical system. Focal length, usually designated f ′ of the lens, [lambda] is the laser wavelength, and d is the diameter of the collimated In a straight line. Collimated light beams are parallel rays of light. laser beam (Figure 2a). Note, [w.sub.0] can be submicron when a high power microscope objective is employed. The beam remains approximately collimated (within a factor of ~1.4) to a distance L on either side of the focal plane The plane, perpendicular to the optical axis of the lens, in which images of points in the object field of the lens are focused. (L=[pi][w.sub.0.sup.2]/2[lambda]). This simple picture neglects the influence of the discontinuity in refractive index A property of a material that changes the speed of light, computed as the ratio of the speed of light in a vacuum to the speed of light through the material. When light travels at an angle between two different materials, their refractive indices determine the angle of transmission when a sample is placed in the beam (more will be discussed on this later). If the laser beam fills the focusing lens (the usual case when a microscope objective is used), the size of this focal volume roughly determines the best attainable spatial resolution (Data West Research Agency definition: see GIS glossary.) A measure of the accuracy or detail of a graphic display, expressed as dots per inch, pixels per line, lines per millimeter, etc. It is a measure of how fine an image is, usually expressed in dots per inch (dpi). (and, hence, the thinnest coating that can be analyzed without substantial contributions from surrounding material). Ideally, we would like to arrange for the sample to at least fill the laser focal volume. Most modern Raman systems use a back-scattering geometry, so the lens which focuses the laser beam also collects the Raman light and projects an image back onto the entrance slit of the spectrometer. In any Raman experiment, there is a significant intensity of Raman scatter generated outside of the nominal laser focal volume, and this light can also be relayed back through the entrance slit to the detector (albeit with lower efficiency). Practical Arrangements for Analyzing Coatings Figure 2b illustrates the simplest method of studying a coating, namely focusing the laser directly onto the surface. Matching the laser focal volume to the coat thickness is important. Unless it is very thick, a coating will usually be studied using a microscope objective. In our laboratory, we typically use a 10X microscope objective for "macroscopic macroscopic /mac·ro·scop·ic/ (mak?ro-skop´ik) gross (2). mac·ro·scop·ic or mac·ro·scop·i·cal adj. 1. Large enough to be perceived or examined by the unaided eye. 2. " sampling, or a 50X or 100X objective for microscopic analysis. A 1 cm focal length objective, focusing a 2 mm diameter, 500 nm laser beam is calculated to give a beam focus with a waist [w.sub.0]~5 [micro]m and length 21~0.2 mm. Longer focal length objectives quickly lose depth resolution. It is possible to study coatings that are much thinner than the depth of focus of the objective, but the data will suffer from poor signal to noise, and excessive contributions from the substrate. Nonetheless, if the substrate is highly reflective, or a weak or inactive Raman scatterer, or if the coating is an exceptionally strong Raman scatterer, then it may be possible to obtain a reasonable spectrum of a thin coating that does not fill the laser focus. In summary, selecting the correct focusing optic is a compromise between correctly filling the laser focal volume so as to obtain the desired spatial resolution, and the desire to work with the highest f# objective possible to maximize collection efficiency. The f# is simply the lens focal length divided by its diameter. A high power microscope objective would typically have f/0.15 (that is, f#=0.15), while a sampling lens used for laboratory macroscopic measurements might lie between ~f/0.9 and ~f/2. Pelletier has summarized the relationship between f#, collection efficiency, and the considerations involved in selecting optics that maximize throughput through the spectrometer, (17) while another excellent text is available which discusses in fine detail the optical design and performance of Raman spectrometers and microscopes. (18) Depth Profiling Coatings: Confocal confocal see confocal microscopy. versus Mechanical Sectioning To measure the average composition of a coating, ideally one would match the collimation collimation /col·li·ma·tion/ (kol?i-ma´shun) 1. in microscopy, the process of making light rays parallel; the adjustment or aligning of optical axes. 2. length 2L to the coat thickness. Thus, a low power lens coupled to a spectrometer which does not have a microscope might be perfectly adequate. If a much tighter laser focus is used, one would need to sample at many different positions in order to estimate the average composition. However, if the spatial variations are of interest, a higher power Higher power is a term used in a 12-step program, such as Alcoholics Anonymous, to describe "a power greater than yourself." Although many participants equate their higher power with God, a belief in God or in formal religion is not mandatory; the higher power is intended as a objective, coupled to a Raman microscope, will be needed to map or image the sample. (19,20) This can be very time-consuming, depending on the spatial resolution required and the area of sample to be studied, but the ability to probe the microstructural details of a coating is one of the key advantages of Raman microscopy. It is worth considering this point in some detail. Let us imagine that one is interested in depth profiling the composition of a coating with the best possible spatial resolution. There are two ways this could be attempted with a Raman microscope. First, one could section or polish a smooth cross-section of the sample, and map across the sample, collecting data point by point (Figure 3a). In this case, which is sometimes referred to as lateral profiling, the spatial resolution is determined mainly by the waist diameter [w.sub.0], although there will be contributions from light above and below the plane of tightest focus, which will cause some blurring. The second approach, which in principle is very attractive since it requires no sample preparation, is simply to focus directly onto the surface of the sample and move the focus incrementally down towards the substrate, collecting spectra along the way (Figure 3b). (Obviously, this approach is restricted to transparent samples.) The idea behind this axial profiling is that the calculated laser focal volume is of the order of 1 [[micro]m.sup.3] for a high power objective, so we have a tiny probe that can be moved around to measure subsurface structure with very high spatial resolution, without requiring any sample preparation. Use of a confocal aperture at a back focal plane of the microscope will further sharpen the focus, restricting detection of light originating away from the focal plane. (21) [FIGURE 3 OMITTED] The problem with this approach is that for most Raman microscopes, Figure 2a is not a valid description once a sample is placed in the laser beam. The problem is outlined schematically in Figure 4. When the laser rays enter the sample they suffer refraction refraction, in physics, deflection of a wave on passing obliquely from one transparent medium into a second medium in which its speed is different, as the passage of a light ray from air into glass. , and the marginal rays are focused deeper than the paraxial par·ax·i·al adj. Located alongside of the axis of a body or part. rays, an effect known as spherical aberration spherical aberration: see aberration, in optics. . (22-24) The net result is that the laser focus becomes blurred along the axis normal to the sample surface, and the position of focus shifts significantly deeper within the sample. The focal blurring becomes worse the deeper one attempts to focus (DR2>DR1), and the confocal aperture is only partially effective in maintaining the depth resolution of the instrument. (24) The problem is most pronounced with high power objectives (just the situation with a typical Raman microscope). The problem arises because almost all commercial Raman microscopes are sold with metallurgical objectives designed to focus onto the surface of an opaque sample. They are not corrected for the aberrations that occur when focusing into a transparent sample. The problem can be minimized either by using an objective that is designed to function when focusing through an overlayer of transparent material, such as an oil immersion objective In light microscopy, an oil immersion objective is a specially designed objective lens used to increase the resolution of the microscope. This is achieved by immersing both the lens and the specimen in a transparent oil of high refractive index, thereby increasing the numerical , (23,25) or by using a dry objective that is corrected for a cover slip, (26) and many more researchers are now aware of the problem and are taking steps to minimize it. However, the worker who is new to the field should be aware that there are many papers in the literature that ignore this effect, and contain depth profiles where the depth axis might be incorrect by a factor of two or more, and where the claimed depth resolution is grossly overestimated. Furthermore, one can still find modern papers that claim that a confocal Raman microscope is capable of selectively analyzing 1 [[micro]m.sup.3] of material inside a transparent sample, and this is generally incorrect. [FIGURE 4 OMITTED] A recent two-part article has summarized the key issues that arise with axial confocal Raman depth profiling with a metallurgical objective. (27,28) The main points are: * With a typical high power microscope objective, the laser focus lies deeper than you think; typically by a factor of ~2. * Spherical aberration spreads the laser field over a considerable distance along the axis; the depth resolution is degraded, and gets worse as one focuses deeper. * Depending on the position of a buried feature, its apparent thickness (according to according to prep. 1. As stated or indicated by; on the authority of: according to historians. 2. In keeping with: according to instructions. 3. the raw intensity-depth profile) can be underestimated, overestimated, or about right, depending on the interplay between the position of the laser focus and the changing depth resolution. * The effects can be modeled using models of varying degree of complexity, but this is time-consuming and demands quite a lot of knowledge of the sample structure beforehand, especially the refractive index of different layers. Modeling data from a completely unknown sample would be difficult. * Using a corrected objective (e.g., oil immersion) can significantly reduce the problems and yield more easily interpretable depth profiles. [FIGURE 5 OMITTED] In my experience, axial profiling with a metallurgical objective is more likely to result in a depth resolution of 5-10 [micro]m or worse, rather than the 1 [micro]m often claimed in the literature. Furthermore, it is arguable that if one has the choice, mechanical sectioning and lateral scanning is preferable, since one knows exactly where one is focused without the need for complex modeling or special objectives. Even if one could eliminate all of the aberrations associated with axial profiling, lateral scanning will always have a better spatial resolution simply because the laser waist [w.sub.0] is always smaller than the focal length ([pi][w.sub.0.sup.2]/[lambda]). The exception to this rule would be where mechanical sectioning will disturb the structure of interest. Figures 5 and 6 illustrate these points. Figure 5 shows how the apparent thickness of a thin layer is much greater when it is on the bottom of a sample rather than the top, due to the greater blurring of the laser focus with increasing depth. A laminate consisting of a ~10 [micro]m layer of PEN [poly(ethylene-naphthoate)] on a 180 [micro]m PET film was used to demonstrate the effect. When the laser was focused directly onto the PEN, its apparent thickness was ~ 5[micro]m, but this increased to ~18 [micro]m when the laser was focused through the PET substrate onto the PEN. Therefore, the perceived thickness of an object clearly depends on its depth below the sample surface. Figure 6 shows another experiment designed to test which configuration has the best spatial resolution, by measuring the apparent thickness of a sharp interface between two polymers. Raman data was taken through the interface between a 20 [micro]m layer of PE on a 100 [micro]m PET substrate. Clearly the spatial resolution, as judged from the rate of change of the PE signal on moving through the boundary, was better (by a factor of two) using lateral scanning of a cross-sectioned sample. The resolution of configuration (b) will be further worsened the thicker the top layer is, as demonstrated in Figure 5. [FIGURE 6 OMITTED] Despite these problems, the experimental simplicity of the confocal approach remains a significant attraction. If one chooses to use this method, then ideally one should minimize the aberrations--for example, by using an immersion objective immersion objective n. A high-powered objective used with a liquid between the lens and the specimen on the slide. . This can also enable the acquisition of data from subsurface regions of opaque samples, provided the material is porous. This is because immersion oil can penetrate into the pores, and wet-out the discontinuities in refractive index which cause turbidity turbidity /tur·bid·i·ty/ (ter-bid´i-te) cloudiness; disturbance of solids (sediment) in a solution, so that it is not clear.tur´bid Turbidity The cloudiness or lack of transparency of a solution. . Vyorykka et al. showed how an immersion objective permitted data acquisition from deep within papers and polymers with opaque coatings. (29) If spherical aberration cannot be avoided, then a numerical correction should be applied to the depth scale to account for the shift of the laser focus deeper into the sample. The effect of the change in the depth resolution can be minimized by normalizing the Raman band intensities using a reference band that is approximately invariant (programming) invariant - A rule, such as the ordering of an ordered list or heap, that applies throughout the life of a data structure or procedure. Each change to the data structure must maintain the correctness of the invariant. . For example, if one were monitoring diffusion of a surface-treatment into a polymer, the apparent intensity of the dopant dopant Any impurity added to a semiconductor to modify its electrical conductivity. The most common semiconductors, silicon and germanium, form crystalline lattices in which each atom shares electrons with four neighbours (see bonding). band could be normalized using a polymer band. The use of normalization has been discussed by other workers (30) and offers some promise, although it obviously requires presence of a band that is invariant throughout the coat thickness, and this simply is not available in some cases (e.g., a laminate with chemically distinct layers). [FIGURE 7 OMITTED] It is worth pointing out that, even in the absence of spherical aberration, the notion that confocal Raman microscopy has a depth resolution of ~1 [micro]m is incorrect. This is because some light from either side of the laser focal volume will be transmitted to the detector, particularly the light that runs very close to the optical axis In a lens element, the straight line which passes through the centers of curvature of the lens surfaces. In an optical system, the line formed by the coinciding principal axes of the series of optical elements. of the system (line labeled "A" in Figure 2). This means that when focusing directly onto the surface of a sample, spectral features can be detected from several microns below the surface, and this is true even for confocal Raman microscopy. To illustrate this point, Figure 7 shows the spectrum of a 2 [micro]m coating of PVDC PVDC Poly-Vinylidene Dichloride [poly(vinylidene chloride)] on a polyester substrate, compared with a spectrum of the polyester alone. The PVDC bands are marked with an asterisk. Conventional wisdom implies that a pure spectrum of PVDC should be expected, but this is not found; the polyester bands are substantial. In fact, if one has a coating that is a weak Raman scatterer on a strongly Raman active substrate, one can find that the substrate signal can dominate even when the coating is thick (10 [micro]m or more). In short, it can be very difficult to obtain a pure Raman spectrum of a coating using the confocal configuration. The data shown in Figure 7 clearly illustrate the fact that, in general, Raman spectroscopy is far less surface-specific than IR spectroscopy. It is trivial to obtain a pure FTIR spectrum of the surface 1 [micro]m of a material using an inexpensive FTIR spectrometer and an internal reflection accessory, (1) but a confocal Raman microscope that is an order of magnitude A change in quantity or volume as measured by the decimal point. For example, from tens to hundreds is one order of magnitude. Tens to thousands is two orders of magnitude; tens to millions is three orders of magnitude, etc. more expensive cannot approach this degree of surface specificity. Improving Surface Specificity: Total Internal Reflection (TIR TIR International Road Transport [French Transports Internationaux Routiers] ) Raman Spectroscopy With infrared internal reflection spectroscopy, a beam of light suffers total internal reflection at the base of a high refractive index, infrared-transparent optical prism Optical prism A simple component, made of a light-refracting and transparent material such as glass and bounded by two or more plane surfaces at an angle, that is used in optical devices, especially to change the direction of light travel, to accomplish image . (1) In this configuration, an evanescent wave An evanescent wave is a nearfield standing wave exhibiting exponential decay with distance. Evanescent waves are always associated with matter, and are most intense within one-third wavelength from any acoustic, optical, or electromagnetic transducer. extends a short distance beyond the prism and can penetrate into a sample placed on its surface. Similarly, if a laser beam, rather than infrared light Noun 1. infrared light - electromagnetic radiation with wavelengths longer than visible light but shorter than radio waves infrared emission, infrared radiation, infrared , is made to suffer total internal reflection, it is possible to generate Raman scatter from the surface of a sample in contact with the prism (Figure 8a). Raman scattering Raman scattering or the Raman effect is the inelastic scattering of a photon. When light is scattered from an atom or molecule, most photons are elastically scattered (Rayleigh scattering). from evanescent waves was first demonstrated by Ikeshoji et al. (31) In principle, internal reflection Raman spectroscopy should have even greater surface specificity than internal-reflection infrared spectroscopy, because the penetration depth Penetration Depth is a measure of how deep light or any electromagnetic radiation can penetrate into a material. It is defined as the depth at which the intensity of the radiation inside the material falls to 1/e (about 37%) of the original value at the surface. of the evanescent ev·a·nes·cent adj. Of short duration; passing away quickly. light is proportional to its wavelength. Submicron specificity should therefore be readily attainable for TIR-Raman spectroscopy. Greene and Bain have shown how TIR-Raman spectroscopy can analyze polymer surfaces with better surface specificity than confocal Raman microscopy, using the example of a 5 micrometers layer of PEN coated onto PET. (16) The TIR-Raman approach was able to fully resolve the upper PEN layer, while the confocal Raman spectrum of the PEN layer was still contaminated contaminated, v 1. made radioactive by the addition of small quantities of radioactive material. 2. made contaminated by adding infective or radiographic materials. 3. an infective surface or object. by PET features. [FIGURE 8 OMITTED] A more rigorous test of the surface specificity is exemplified in Figure 8b, which compares the TIR-Raman and confocal Raman spectra from the PVDC/polyester laminate layer in the C-H stretch region. (The data are restricted to this region, rather than the 200-900 [cm.sup.-1] range shown in Figure 7, because the zirconia prism used as the internal reflection element had a broad Raman background between 300-800 [cm.sup.-1], which masks the PVDC features). In contrast to the confocal spectrum, which is dominated by the polyester bands, the TIR-Raman spectrum contains only PVDC bands. This proves that the penetration depth was significantly less than 2 [micro]m, and, hence, superior to confocal Raman microscopy. (32) Unfortunately, the signal/noise of the TIR Raman spectrum was quite poor, owing to owing to prep. Because of; on account of: I couldn't attend, owing to illness. owing to prep → debido a, por causa de the use of a 532 nm laser, which generated significant sample fluorescence. This could be overcome by using a high power red or near-infrared laser for excitation. It remains to be seen whether TIR Raman will gain popularity as a routine analytical tool. There are some significant barriers to uptake, such as the need for a high power laser (compared with current conventional instruments), the lack of convenient optical materials with high refractive index but low Raman and fluorescence cross-sections, and the lack of a commercially available instrument or accessory. It does, however, offer the only Raman configuration with submicron surface specificity that does not rely on a special effect such as surface enhanced scattering or resonance Raman enhancement to provide the resolution. Applications using both of these phenomena will be discussed in Part II of this tutorial. References (1) Chalmers, J.M., "Infrared Spectroscopy in the Analysis, Characterization, and Testing of Coatings," JCT CoatingsTech, 2, No. 18, 50 (2005). (2) Cotton, F.A., Chemical Applications of Group Theory, John Wiley and Sons, New York New York, state, United States New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of , 1990. (3) Fateley, W.G., Dollish, F.R., McDevitt, N.T., and Bentley, F.F., IR and Raman Selection Rules for Molecular and Lattice Vibrations, Wiley Interscience, New York, 1972. (4) Mayo, D.W., Miller, F.A., and Hannah, R.W., Course Notes on the Interpretation of IR and Raman Spectra, Wiley Interscience, New York, 2004. (5) Lin-Vien, D., Colthup, N.B., Fateley, W.G., and Grasselli, J.G., Handbook of IR and Raman Characteristic Group Frequencies, Academic Press, New York, 1991. 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(Eds.), John Wiley and Sons, Chichester, pp. 1460-1471, 2002. (15) Lewis, I.R. and Lewis, M.R., in Handbook of Vibrational Spectroscopy, Vol. 2, Chalmers, J.M. and Griffiths, P.R. (Eds.), John Wiley and Sons, Chichester, pp. 1587-1597, 2002. (16) Greene, P.R. and Bain, C.D., Spectroscopy Europe, 16, 8 (2004). (17) Pelletier, M.J., in Analytical Applications of Raman Spectroscopy, Pelletier, M.J. (Ed.), Blackwell Science, Oxford, pp. 53-105, 1999. (18) Raman Microscopy: Developments and Applications, Turrell, G. and Corset corset, article of dress designed to support or modify the figure. Greek and Roman women sometimes wrapped broad bands about the body. In the Middle Ages a short, close-fitting, laced outer bodice or waist was worn. By the 16th cent. , J. (Eds.), Academic Press, New York, 1996. (19) Dhamelincourt, P., in Handbook of Vibrational Spectroscopy, Vol. 2, Chalmers, J.M. and Griffiths, P.R. (Eds.), John Wiley and Sons, Chichester, pp. 1419-1428, 2002. (20) Treado, P.J. and Nelson, P., in Handbook of Vibrational Spectroscopy, Vol. 2, Chalmers, J.M. and Griffiths, P.R. (Eds.), John Wiley and Sons, Chichester, pp. 1429-1459, 2002. (21) Tabaksblat, R., Meier, R., and Kip, B.J., Appl. Spectrosc., 46, 60 (1992). (22) Everall, N.J., Appl. Spectrosc., 54, 1515 (2000). (23) Everall, N.J., Appl. Spectrosc., 54, 773 (2000). (24) Baldwin, J.K. and Batchelder, D.N., Appl. Spectrosc., 55, 517 (2001). (25) Froud, C.A., Hayward, I.P., and Laven, J., Appl. Spectrosc., 57, 1468 (2003). (26) Adar, F., Naudin, C., Whitley, A., and Bodnar, R., Appl. Spectrosc., 58, 1136 (2004). (27) Everall, N.J., Spectroscopy 19, 22 (2004). (28) Everall, N.J., Spectroscopy 19, 16 (2004). (29) Vyorykka, J., Halttunen, M., Litti, H., Tenhunen, J., Vuorinen, T., and Stenius, P., Appl. Spectrosc., 56, 1123 (2002). (30) Reinecke, H., Spells, S.J., Sacristan sac·ris·tan n. 1. One who is in charge of a sacristy. 2. A sexton. [Middle English, from Medieval Latin sacrist , J., Yarwood, J., and Mijangos, C., Appl. Spectrosc., 55, 1660 (2001). (31) Ikeshoji, T., Ono, Y., and Mizuno, T., Appl. Opt., 12, 2236 (1973). (32) Bain, C.D., MacMillan, C., and Everall, N., unpublished data, 2004. by Neil J. Everall, ICI (language) ICI - An extensible, interpretated language by Tim Long with syntax similar to C. ICI adds high-level garbage-collected associative data structures, exception handling, sets, regular expressions, and dynamic arrays. PLC* *Measurement Science Group, The Wilton Centre, Wilton, Redcar, TS104RF, UK. ([dagger]) To be published in the September 2005 issue of JCT COATINGSTECH. |
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