Article

Medium-range order in molecular materials: Fluctuation electron microscopy for detecting fullerenes in disordered carbons

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Abstract

During a fluctuation electron microscopy (FEM) study of disordered carbons, we found that samples containing C(60) exhibit a normalized variance peak at 7.1 nm(-1) that appears to be a unique indicator of tight curvature in layered materials. This peak is associated with the characteristic in-plane carbon-carbon bond distance of approximately 0.14 nm in graphene. Diffraction from this spacing is normally forbidden in planar graphene (and graphite), but becomes allowed when the layer structure is interrupted. Such interruptions arise at the edges of graphite fragments and also when 5-rings are incorporated into a layer. We show that the curvature induced by a high density of 5-rings, such as that in C(60), can dominate the variance peak at 7.1 nm(-1). FEM simulations reveal that the variance peak at approximately 7.1 nm(-1), which we label F(1), is one of several fullerene-signature peaks, with others occurring at Q values of 10.6 nm(-1) (F(2)) and 12.4 nm(-1) (F(3)). We conclude that FEM is a sensitive method for detecting dilute quantities of highly curved pentagon-rich fullerenes, such as C(60), when dispersed within disordered graphitic carbon.

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... This refers to the structural correlations of atomic positions on length scales between 0.5 and 3 nm. It has been shown that many "amorphous" systems, such as clusters [7], [8], metallic glasses [9], and amorphous silicon [1] actually have significant MRO. However, probing MRO in materials has proved to be the most challenging of all these ranges of structural order, it is too irregular for bulk X-ray methods and too spacious for typical diffraction methods. ...
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Thesis
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IntroductionWhat Is Speckle?What Causes Speckle?Diffuse ScatteringFrom Bragg Reflections to SpeckleCoherenceFluctuation Electron MicroscopyVariance versus MeanSpeckle StatisticsPossible Future Directions for Electron Speckle AnalysisReferences
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A broad review of the unusual one-dimensional properties of phonons in carbon nanotubes is presented, including phonons in isolated nanotubes and in crystalline arrays of nanotubes in nanotube bundles. The main technique for probing the phonon spectra has been Raman spectroscopy and the many unique and unusual features of the Raman spectra of carbon nanotubes are reviewed. Also included is a brief review of the thermal properties of carbon nanotubes in relation to their unusual phonon dispersion relations and density of states.
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Shungites are highly carbonaceous, highly metamorphosed rocks associated with several stratigraphic levels of the Lower Proterozoic in Karelia. Being a complex material, shungite is very important also as oldest accumulations of concentrated organic matter. The nature of shungite is still unclear despite its more than a century-long study by Russian and western scientists.A chemical coal-petrographic study of shungite has been conducted using a specially designed technique: the etching of polished surfaces. It is found that the shungite bed (near Shunga village) is a coal seam with a typical set of megascopic features rather than an accumulation of bitumen. This bed consists not only of sapropelic but of humic organic matter as well.Unlike other biogenic structures from Precambrian coal, such as the Huron Series, Michigan Lake, the structures established in shungite near Shunga village have a more complex plant composition. Organic matter from various types of shungite-bearing rocks show different petrographic and chemical properties. Thus, organic matter of sapropelic nature from silicate rocks with traces of stromatolite texture, differs from the coal matter composing the Shunga bed. Shungites are the most metamorphosed coals among all those known at present and they are assigned here to metaanthracite rank. The results obtained show a new insight into the biogenic remains composing an ancient coal bed, and in terms of the present stratigraphic scale allow the beginning of coal accumulation to be placed in the Proterozoic, although the possibility of a non-Precambrian age cannot be ruled out.
Article
Hollow-cone dark-field images from crystalline silicon were examined as a function of thickness and scattering angle. We find that both coherent scattering and multiple scattering can cause the intensity to depend non-linearly on thickness, even for high-angle scattering events. A simple method for estimating the effect of multiple elastic scattering in thick specimens is provided. We show theoretically, that a coherence volume exists around each scatterer whose dimensions depend inversely on scattering angle. The coherence volume has a narrow “cigar” shape, elongated along the optic axis. The narrowness ensures that inter-atomic-column interferences, such as zero-order Laue zone Bragg reflections, are suppressed, whereas the elongation permits intra-atomic-column interference (or columnar diffraction). In high-resolution “Z-contrast” images, this bias towards columnar diffraction acts to enhance the signal from atom columns.
Article
We use variable coherence transmission electron microscopy to examine medium-range ordering in vacuum-deposited amorphous germanium. The method accesses higher-order atomic correlations through statistical analysis of hollow-cone dark-field image speckle. This yields greater sensitivity to medium-range order than the familiar pair correlation function obtained from diffraction. We find that thermal annealing of amorphous germanium reduces the degree of medium-range order, affirming the thermodynamic stability of the random network.
Article
A series of hydrogenated diamondlike carbon films grown using plasma-enhanced chemical-vapor deposition is systematically studied as a function of source gas composition using transmission electron microscopy. The structure of the films is examined at three distinct length scales. Both plan-view and cross-sectional studies are undertaken to reveal any large-scale inhomogeneities or anisotropy in the films. The degree of medium-range order in the films is measured by performing fluctuation electron microscopy on the plan-view and cross-sectional specimens. Electron-energy-loss spectroscopy is employed to measure the mass density and sp²:sp³ carbon bonding ratios of the samples. Thus, inhomogeneity as a function of depth in the film is revealed by the measurements of the short- and medium-range orders in the two different sample geometries. Soft, low-density diamondlike carbon films with low coefficients of friction are found to be more homogeneous as a function of depth in the film and possess reduced medium-range order in the surface layer. We find that these properties are promoted by employing a high hydrogen content methane and hydrogen admixture as the growth ambient. In contrast, harder, denser films with higher coefficients of friction possess a distinct surface layer with a relatively elevated level of carbon sp³ bonding and a higher degree of medium-range order. The structure of the films is examined in the light of the energetics of the growth process. It appears that a high flux of penetrating hydrogen ions modifies the surface layer containing the remnant damage from the carbon ions, homogenizing it and contributing to a lowering of the coefficient of friction.
Article
Plastic deformation in metallic glasses is governed by the initiation and propagation of shear bands. The successful use of bulk metallic glasses in structural applications will depend on controlling these processes to improve ductility and toughness. In Zr-Cu-Ni-Al metallic glasses, the addition of Ta can influence the structure of the material and hence the shear band behavior in two ways. At low Ta contents (<4 at.%), the material is amorphous but has enhanced order over length scales of 5-15 Angstrom Higher levels of Ta result in the precipitation of bcc Ta-rich solid solution particles in a metallic glass matrix. Under uniaxial compression, both of these materials show greater apparent plastic strain to failure than the glass without Ta. This appears to be the result of the influence of the structure on the initiation and propagation of shear bands in the amorphous matrix.
Article
Fullerenes have been reported from diverse geologic environments since their discovery in shungite from Karelian Russia. Our investigation is prompted by the presence of onionskin-like structures in some carbonaceous substances associated with the fossil nuclear fission reactors of Oklo, Gabon. The same series of extractions and the same instrumental techniques, laser desorption ionization and high-resolution mass spectroscopy (electron-impact mass spectroscopy), were employed to test for fullerenes in samples from three different localities: two sites containing putative fullerenes (Sudbury Basin and Russian Karelia) and one new location (Oklo, Gabon). We confirm the presence of fullerenes (C60 and C70) in the Black Tuff of the Onaping Formation impact breccia in the Sudbury Basin, but we find no evidence of fullerenes in shungite samples from various locations in Russian Karelia. Analysis of carbonaceous substances associated with the natural nuclear fission reactors of Oklo yields no definitive signals for fullerenes. If fullerenes were produced during sustained nuclear fission at Oklo, then they are present below the detection limit (˜100 fmol), or they have destabilized since formation. Contrary to some expectations, geologic occurrences of fullerenes are not commonplace.
Article
Variable coherence microscopy, a tool for quantitative analysis of structural fluctuations in disordered materials, is introduced. The method involves transmission electron microscopy of thin films and uses hollow-cone illumination. Experiments were performed on annealed evaporated amorphous germanium. Although many aspects of the data agree with the continuous random network model, there is experimental evidence for additional medium-range structure on the 10-20 Angstrom scale.
Article
A form of hydrogenated diamond-like-carbon, “near-frictionless carbon,” developed at Argonne National Laboratory has been studied by several spectroscopic techniques to determine the hydrogen content and carbon bonding within the film. The techniques used include hydrogen forward scattering, ultraviolet Raman spectroscopy, Fourier transform infrared spectroscopy, near-edge x-ray absorption fine structure, and fluctuation microscopy. These complementary techniques reveal the different types of carbon bonding, such as sp2 and sp3, the medium-range order in the film, and its composition. © 2004 American Institute of Physics.
Article
We show, using variable coherence transmission electron microscopy, that light soaking of amorphous hydrogenated silicon thin films leads to structural changes. We speculate that the structural changes are associated with instability in the as-deposited material. We suggest that improved immunity to Staebler–Wronski degradation could be achieved by a less-ordered material which is closer to the ideal continuous random network. © 1998 American Institute of Physics.
Article
X-ray and electron sources are extensively used to explore disordered structures. In the case of electron, small-angle diffraction can help to testify the argument about micro-crystallites in glassy states. Diffraction intensity has two types of variance in reciprocal space: radial and azimuthal. Previously, variance as a function of k was largely used to elucidate medium-range order in amorphous semiconductors. Here azimuthal variance is introduced. This variance reveals orientational order for possible crystallites. Furthermore, the oversampling method proposed here can change our view on amorphous structure. We find that a broad peak might not truly reflect one single crystallite. In fact, two reflections can be folded to yield one broad peak. In this paper, the issues are discussed with three examples: silica, silicon, and germanium. © 2004 American Institute of Physics.
Article
Medium-range structural order consisting of polyhedral connections, rings, and cluster structures in various covalent amorphous solids is discussed. The experimental structural probes used to investigate the structure of amorphous solids are described, as is the use of the first sharp diffraction peak in diffraction data of such solids. The need for new experimental techniques and theoretical descriptions of the disordered state of matter is addressed.
Article
We have developed a new electron microscopy technique called fluctuation microscopy which is sensitive to medium-range order in disordered materials. The technique relies on quantitative statistical analysis of low-resolution dark-field electron micrographs. Extracting useful information from such micrographs involves correcting for the effects of the imaging system, incoherent image contrast caused by large scale structure in the sample, and the effects of the foil thickness.
Article
We outline recent advances in the fluctuation microscopy technique for probing medium-range structural correlations in disordered materials. The technique was originally developed for electron microscopy, but has now been extended to optical and x-ray microscopies. We show that fluctuation microscopy can detect trace quantities of C60 in a disordered graphite matrix, even though the diffraction signature from the C60 is essentially undetectable. This result indicates that the technique can be used to discern dilute distributions of macromolecules in an otherwise disordered matrix. We also report preliminary studies of interferometric fluctuation microscopy using cross-correlations in diffraction between coherent double probes. This is a form of holography where the diffraction patterns from two neighboring regions are allowed to overlap and interfere. Young's fringes appear wherever both regions scatter strongly. The cross-correlation can be examined as a function of probe separation to estimate a structure correlation length. This method holds much promise for studying medium-range order, since it isolates the essential four-body terms underpinning the fluctuation microscopy technique.
Article
Fluctuation microscopy is a hybrid diffraction-imaging technique that detects medium range order in amorphous materials by examining spatial fluctuations in coherent scattering. These fluctuations appear as speckle in images and diffraction patterns. The volume of material contributing to the speckle is determined by the point-spread function (the resolution) of the imaging optics and the sample thickness. The spatial periodicities being probed are related to the diffraction vector. Statistical analysis of the speckle allows the random and non-random (ordered) contributions to be discriminated. The image resolution that gives the maximum speckle contrast, as determined by the normalized variance of the image intensity, is determined by the characteristic length scale of the ordering. Because medium range ordering length scales can extend out to about the tenth coordination shell, fluctuation microscopy tends to be a low image resolution technique.This review presents the kinematical scattering theory underpinning fluctuation microscopy and a description of fluctuation electron microscopy as it has been employed in the transmission electron microscope for studying amorphous materials. Recent results using soft x-rays for studying nanoscale materials are also presented. We summarize outstanding issues and point to possible future directions for fluctuation microscopy as a technique.
Article
Using fluctuation electron microscopy, we have measured the medium-range order of magnetron sputtered silicon thin films as a function of substrate temperature from the amorphous to polycrystalline regimes. We find a smooth increase in the medium-range order of the samples, which we interpret in the context of the paracrystalline structural model as an increase in the size of and/or volume fraction occupied by the paracrystalline grains. These data are counter to the long-standing belief that there is a sharp transition between amorphous and polycrystalline structures as a function of substrate temperature.
Article
We have measured aluminum-like medium range order (MRO) in amorphous Al92Sm8 using fluctuation electron microscopy (FEM). Here we show similar but not identical medium-range structure in amorphous Al88Y7Fe5. Both compositions begin to crystallize in less than 7 min under a 120 kV TEM electron beam. Beam-induced heating of these samples is minimal, so we suggest that crystallization is caused by beam-induced atomic displacements (knock-on) that introduces free volume or localized mixing, both of which will induce crystallization. If this is the case, the higher beam energies used for high-resolution TEM will exacerbate, not reduce, the problem. Studying these materials in the TEM therefore requires low-dose FEM. Since FEM is an inherently statistical technique, the goal of which is to characterize the entire sample structure, we can reduce the dose to any one area of the sample by spreading the total dose across more material. The only experimental limit is the noise of the electron detector, which makes FEM experiments possible even on metastable materials that suffer from beam damage.
Article
We report on the occurrence of fullerenes in Proterozoic shungite (∼2 Ga) from the shungite mine, Kondopoga, Karelia, Russia (62.12°N 34.17°E). The presence of fullerenes has been confirmed by mass spectrometry, with peaks at 360 and 720 amu (atomic mass unit), powder X-ray diffraction showing ten diffraction peaks corresponding to the fullerite structure with a = 1.4201(5) nm, and 13C nuclear magnetic resonance (NMR) spectroscopic studies, showing a peak at 143.2 ppm. In the Kondopoga shungite mine, fullerenes occur in silty shales that have experienced greenshist facies metamorphism.
Article
We propose an extension to the technique of fluctuation electron microscopy that quantitatively measures a medium-range order correlation length in amorphous materials. In both simulated images from computer-generated paracrystalline amorphous silicon models and experimental images of amorphous silicon, we find that the spatial autocorrelation function of dark-field transmission electron micrographs of amorphous materials exhibits a simple exponential decay. The decay length measures a nanometre-scale structural correlation length in the sample, although it also depends on the microscope resolution. We also propose a new interpretation of the fluctuation microscopy image variance in terms of fluctuations in local atomic pair distribution functions.
Article
Abstract— The C K edge of Orgueil nanodiamonds (Cδ diamonds) was acquired by electron energy-loss spectroscopy (EELS), with an energy resolution of 300 meV. The spectra show peaks at 282.5, 284.7, and 286.4 eV, which occur in the band gap below the main diamond edge and are absent from the bulk diamond spectrum. These peaks are attributed to transitions from C 1s surface core levels to unoccupied surface states, and arise from single and π-bonded dangling bonds and C-H bonds. A shoulder to the main absorption edge at 287.8 eV may correspond to hydrocarbon adsorbates. These results can be used to further our understanding of Cδ diamond structure and may reveal the presence of a fullerene-like surface. The unique surface electronic states of the Cδ diamond surfaces are expected to affect their optical properties, which are dependent on features such as extent of H coverage, particle size, and surface structure.
Article
Nano-diamonds isolated from acid dissolution residues of primitive carbonaceous meteorites (Allende and Murchison) were studied using high-resolution transmission electron microscopy. To discriminate among their most likely formation mechanisms, high-pressure shock-induced metamorphism or low-pressure vapor condensation, the microstructures of presolar diamond crystallites were compared to those of (terrestrial) synthesized nano-diamonds. The synthesized diamonds used for comparison in this study were produced by high-pressure shock waves generated in controlled detonations and by direct nucleation and homoepitaxial growth from the vapor phase in low-pressure chemical vapor deposition (CVD)-type processes. Microstructural features were identified that appear unique to shock metamorphism and to nucleation from the vapor phase, respectively. A comparison of these features to the microstructures found in presolar diamonds indicates that the predominant mechanism for presolar diamond formation is a vapor deposition process, suggesting a circumstellar condensation origin. A new presolar grain component has also been identified in the meteoritic residues, the (2H) hexagonal polytype of diamond (lonsdaleite).
Article
Diffraction methods for determining structure in non-crystalline materials often rely solely on the determination of pair correlation functions, extracted from measurements of the diffracted intensity. A dark field image of a non-crystalline solid taken with a conventional transmission electron microscope contains phase information lost in the measurement of the diffracted intensity which can be accessed by evaluating a variance function. This variance function is defined in terms of spherical averages of the diffracted intensity and the mean square of the diffracted intensity. The latter contains higher order correlation information derived from correlations between two pairs of atoms. We examine the sensitivity of the variance function, to subtle atomic structural differences between carbon network structures. The structures have similar pair correlations, but different levels of diamond like bonding. The variance function is shown to give improved discrimination between the networks.
Article
Despite occasional experimental hints, medium-range structural order in covalently bonded amorphous semiconductors had largely escaped detection until the advent of fluctuation electron microscopy (FEM) in 1996. Using FEM, we find that every sample of amorphous silicon and germanium we have investigated, regardless of deposition method or hydrogen content, is rich in medium-range order. The paracrystalline structural model, which consists of small, topologically ordered grains in an amorphous matrix, is consistent with the FEM data, and is rendered diffraction amorphous by strain effects. We present measurements on hydrogenated amorphous silicon deposited by different methods, some of which are reported to have greater stability against the Staebler–Wronski effect. The matrix material of these samples is relatively similar, but the order changes in different ways upon both light soaking and thermal annealing. Some materials are inhomogeneous, with either nanocrystalline inclusions or large area-to-area variation in the medium-range order. We discuss the implications of and future directions for understanding medium-range order.
Article
Fullerenes have been reported from numerous terrestrial and meteoritic sources, but only at low concentrations. The occurrences are associated with localized energetic events such as lightning, impacts of extraterrestrial objects, and wildfires. Great interest has also been generated by a series of papers that report noble gases with anomalous isotopic compositions encapsulated within fullerenes. In spite of all of the published work, many unresolved questions remain about the identity and formation of fullerenes in geological environments.
Article
Algorithms for the symmetry-adapted energy minimisation of solids using analytical first and second derivatives have been devised and implemented in a new computer program GULP. These new methods are found to lead to an improvement in computational efficiency of up to an order of magnitude over the standard algorithm, which takes no account of symmetry, the largest improvement being obtained from the use of symmetry in the generation of the hessian. Accelerated convergence techniques for the dispersion energy are found to be beneficial in improving the precision at little extra computational cost, particularly when a one centre decomposition is possible or the Ewald sum weighting towards real-space is increased.
Article
An electronic device manipulates the primary beam in the conventional transmission microscope to produce a hollow cone of illumination with its apex located at the specimen. The device uses the existing tilt coils of the microscope, and modulates the D.C. signals to both x and y tilt directions simultaneously with various waveforms to produce Lissajous figures in the back-focal plane of the objective lens. Electron diffraction patterns can be recorded which reflect the manner in which the direct beam is tilted during exposure of a micrograph. In the bright-field imaging mode the device provides a microscope transfer function without zeros in all spatial directions and has been used to obtain high resolution images which are also free from the effect of chromatic aberration. A standard second condenser aperture is employed and the width of the cone annulus is readily controlled by defocusing the second condenser lens. The cone azimuthal angle is also controlled electronically; hence the device can also be used in the dark-field imaging mode. This device has been applied to imaging both amorphous and crystalline materials including biomolecular specimens.
Article
Damaging fullerene C60 upon energetic irradiation has been modeled with molecular-dynamics simulations. The angular dependence of the threshold energy of the primary knock-on atom (PKA) escaping from the cage is investigated in the case of the initial PKA direction within a plane through the cage center and 6-6 ring fusions. The average threshold value is estimated to be about 29 eV. The simulations provided a detailed picture of the damaging processes, in which three mechanisms were revealed. Those included C60-C→C59, C60→CC59, and C60-2C→C58. The interactions between carbon atoms are described with the Tersoff mode modified to match a screened Coulomb potential at short range.
Article
Fluctuation electron microscopy is a technique for studying medium-range order in disordered materials. We present an implementation of fluctuation microscopy using nanodiffraction in a scanning transmission electron microscope (STEM) at a spatial resolution varying from 0.8 to 5.0 nm. Compared to conventional TEM (CTEM), the STEM-based technique offers a denser scattering vector sampling at a reduced sample dose and easier access to variable resolution information. We have reproduced results on amorphous silicon previously obtained by CTEM-based fluctuation microscopy, and report initial variable-resolution measurements on amorphous germanium.
Article
We have used fluctuation microscopy to reveal the presence of structural order on length scales of 1-2 nm in metallic glasses. We compare results of fluctuation microscopy measurements with high resolution transmission electron microscopy and electron diffraction observations on a series of metallic glass samples with differing degrees of structural order. The agreement between the fluctuation microscopy results and those of the other techniques is good. In particular, we show that the technique used to make thin specimens for electron microscopy affects the structure of the metallic glass, with ion thinning inducing more structural order than electro-polishing. We also show that relatively minor changes in the composition of the alloy can have a significant effect on the medium-range order; this increased order is correlated with changes in mechanical behavior.
Article
The technique of fluctuation electron microscopy (FEM) is applied to thin films of amorphous germanium and of polycrystalline gold in a transmission electron microscope. Even though the method was introduced as a tool for quantitative analysis of structural fluctuations in amorphous materials, the basic principles are applicable to any disordered specimen independent of the dimension of disorder. Hence, we extended the technique of FEM to a well-known specimen, gold, whereby it was possible to reinterpret the results of the measurements on amorphous germanium. The hollow-cone dark field images, the statistical analysis of which is the basis of FEM, are examined with respect to the effects of frequency filtering, and are compared to electron diffraction. We find that the angular dependence of the normalised variance, as measured by FEM, yields information similar to the average intensity of hollow-cone dark field image series. Both plots are basically identical to a scan through a selected-area diffraction pattern convoluted by the corresponding angular resolution function. Hence, it appears questionable whether standard FEM analysis provides more information than the classical pair distribution function, which is experimentally limited to short-range order. Frequency selective analysis of the normalised variance, however, gives supplementary information on preferred inter-atomic distances related to the medium-range order of the specimen.
Article
Measuring medium-range order is a challenging and important problem in the structural study of disordered materials. We have developed a new technique, fluctuation x-ray microscopy, that offers quantitative insight into medium-range correlations in disordered materials at nanometre and larger length scales. In this technique, which requires a spatially coherent x-ray beam, a series of speckle patterns are measured at a large number of locations in a sample using various illumination sizes. Examination of the speckle variance as a function of the illumination spot size allows the structural correlation length to be measured. To demonstrate this technique we have studied polystyrene latex spheres, which serve as a model for a dense random-packed glass, and for the first time have measured the correlation length in a disordered system by fluctuation X-ray microscopy. We discuss data analysis and procedures to correct for shot noise and detector noise. This approach could be used to explore medium-range order and subtle spatial structural changes in a wide range of disordered materials, from soft matter to nanowire arrays, semiconductor quantum dot arrays and magnetic materials.
Article
This article is a technical comment and author response to the the discovery of naturally occuring fullerenes in Shunga rock samples. The commenting researchers did not find detectable amounts of fullerenes in a variety of carbon-rich rocks. They hypothesize that the fullerenes found in the Shunga sample were probably a localized event. The original researchers, Buseck and Tsipursky, provide a rebuttal with further comments including parallels to other minerological occurences. All agreed that more data are needed. 10 refs.
Article
By means of high-resoluton transmission electron microscopy, both C(60) and C(70) fullerenes have been found in a, carbon-rich Precambrian rock from Russia The fullerenes were confirmed by Fourier transform mass spectrometry with both laser desorption and thermal desorption/electron-capture methods to verify that the fullerenes were indeed present in the geological sample and were not generated by the laser ionization event. The mass spectra were measured under conditions sufficient to resolve the (13)C/(12)C isotopic ratios for C(60) and C(70) and indicate that these ratios correspond to the normal range of isotopic values.