10.1098/rsta.2003.1301 Sputtering: survey of observations and derived principles By R a ú l A. Baragiola Laboratory for Atomic and Surface Physics, University of Virginia, Charlottesville, VA 22904, USA (raul@virginia.edu) Published online 25 November 2003 We review the most salient observations and physical principles of knock-on and electronic sputtering and the role of sputtering in several astrophysical settings and applications in research and technology. In addition, we emphasize some unsolved problems, propose experiments and provide guides to representative literature reviews and significant recent publications. Keywords: sputtering; atomic collisions; surfaces; SIMS; depth profiling 1. Introduction Sputtering is the removal of material from objects by energy transfer in collisions of energetic atomic projectiles. It occurs widely in nature, where it causes the erosion of the surface of airless astronomical bodies (interstellar dust particles, the Moon, etc.) subject to ambient energetic radiation. The first record of sputtering in the laboratory (Grove 1852) indicated the formation of a deposit in the anode of a gaseous discharge and its removal when the polarity of the electrodes was reversed. It is interesting to note that the discoverer of sputtering, William Robert Grove, is best known for his role as a distinguished lawyer and for his invention of the fuel cell. For almost a century after Grove’s discovery, most of the observations on sputtering were made using gas discharges; isolation and characterization of the process using controlled ion beams in a vacuum and characterized materials started only a few decades ago. Since sputtering has been reviewed so extensively, it would not be valuable to have another review here in such a limited space. Rather, the aim of this paper is to provide a useful guide to the review literature, an overview of the main phenomena, new views on some unsolved problems and suggestions for experiments. The task is made easier because I am excused from dwelling on theory by the several theoretical papers in this issue, which allows me to concentrate on observations and their physics content. The reader should not expect exhaustive references or coverage of all topics. Many sub-topics of sputtering, such as chemical sputtering, reactive-ion etching, the effect of sample temperature, phase and porosity, to name a few, are not treated here. One contribution of 11 to a Theme ‘Sputtering: past, present and future. W. R. Grove 150th Anniversary Issue’. c 2003 The Royal Society Phil. Trans. R. Soc. Lond. A (2004) 362, 29–53 29 30 R. A. Baragiola In spite of 150 years of sputtering, and the impression that we may get from the review literature, most of the field is poorly understood. Notable examples are the sputtering of ceramics, polymers and composite materials, the ejection of molecules, ions and excited atoms and the whole area of electronic sputtering. The interesting history of the topic can be seen in the reviews by Massey & Burhop (1956) and Carter & Colligon (1968). Other historically important reviews are those by Kaminsky (1965) and the volume series Sputtering by particle bombardment (Behrisch 1981, 1983; Behrisch & Wittmaack 1991). Sputtering is a particular case of radiation damage. Displacement of atoms from their equilibrium lattice positions is produced either by a single collision with the projectile or, more generally, as a result of a collision cascade in the material. The repulsive forces required to dislodge atoms or molecules from the lattice can occur during close ‘knock-on’ collisions initiated by a projectile with sufficient momentum or, indirectly, by electronic excitations that lead to antibonding states. These cases result in knock-on sputtering and electronic sputtering, respectively. The related case of electronic sputtering by energetic electron or photon impact, which generally only involves a single surface collision, will not be treated here. The interested reader should look into the following reviews, which have individual flavours: Knotek (1984), Baragiola & Madey (1991), Ramsier & Yates (1991), Baragiola (1992) and Ageev (1994). This type of electronic sputtering is often named in the literature as electronic desorption and photodesorption or, more generally, DIET (desorption induced by electronic transitions). For readers who wish an expanded horizon, it is worth mentioning that photodesorption is directly related to surface photochemistry (Zhou et al . 1991), a topic of considerable fundamental and practical importance. The physics of sputtering can be grasped most easily by studying analytical theories even though they have limited accuracy compared with the most accurate computer simulations. Analytical theories divide the sputtering process into three steps: (i) initial collisions with the projectile that generate a recoiling target atom that may be ejected directly; (ii) a cascade of collisions in the solid involving fast recoils; and (iii) the escape of recoils through a surface barrier. The calculation of step (i) is straightforward for knock-on sputtering (but extremely hard for electronic sputtering), since interatomic potentials for close collisions are relatively well known after decades of heated debates. The collision cascade of step (ii) can be simulated simply with a computer, except for poorly known interatomic potentials and electronicenergy losses relevant in slow collisions. Escape through the surface barrier has been treated in an ad hoc fashion in analytical theories and most computer simulations; however, for molecular-dynamics simulations, escape is just a specific instance of step (ii). A schematic of the manifestations of sputtering is shown in figure 1. Typically, an ion beam hits a target surface, eroding it; most of the ion beam is implanted in the target and a small fraction is reflected after suffering a range of energy losses. In the area of the sample hit by the ion beam, a crater forms that contains microscopic cratelets produced by each ion impact. With ion-bombardment time, the crater becomes deeper and its bottom rougher. The ejecta, which have a wide angular and energy distribution, originate mostly from the top surface layer, with a small percentage of atoms coming from the second layer and a negligible contribution from deeper layers. The ejecta can be intercepted by another surface (a collector), on which a deposit forms. This process, called sputter deposition, is the primary method of Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles target 31 sputtered particles projectiles deposition substrate Figure 1. Schematic of the sputtering process. producing thin films. Secondary effects include reflection of a small fraction of the ejecta at the collector, and sputtering of the deposit by the most energetic sputtered atoms and by reflected projectiles. The ejecta can be analysed with mass spectrometry or optical techniques to obtain information on the composition of the bombarded surface. The sputtered particles will also coat other surfaces besides the purposely situated collector, and become part of the background gas contaminating it. 2. Experimental methods The purpose of this section is to give the reader some criteria that can be used to evaluate experimental reports. The important quantities in sputtering are the sputtering yield Y (number of atoms ejected per projectile), the composition of the ejecta with respect to species (atoms, molecules, ions), the angle and the ejection velocity. Progress made in the first 120 years of sputtering led to refinement in experimental techniques, as methods producing errors or unreliable results were discarded. For instance, sputtering was discovered in electrical discharges in gases and, for nearly a century, it was mostly studied under those circumstances. Although the study of sputtering in a discharge is important per se, a more clear control of the process is achieved with measurements using ion beams in a vacuum. The more ideal conditions are more suitable for testing theoretical models. Even under those conditions, several problems became apparent over the years. For instance, prolonged ion irradiation leads to accumulation of implanted projectiles in the target and with it a time-dependence of sputtering, particularly in cases of low sputtering yield. At moderate pressures (0.1–10 µbar), gases adsorbed from the ambient atmosphere (usually water vapour but even vacuum pump oil) form a contaminant layer that alters sputtering. The use of dynamic conditions, where the sputtering process itself prevents accumulation of adsorbed layers, leads often to the problem of contamination of the surface by implantation of recoil impurity atoms. In addition, dynamic cleaning usually causes the development of topographical features (roughness) on the surface, which in turn may affect sputtering. A large roughness affects sputtering yields by locally varying the angle of incidence. It also alters the angular distribution of the ejecta as sputtered particles become trapped in surfaces adjacent to the emission point. The same consideration applies to sputtering of naturally rough surfaces, from powdered solids to the Moon’s regolith (Hapke 2001). Another potential problem, usually not discussed, affects measurements using polycrystalline targets. A reduced-energy deposition by channelling effects near the surface will occur if there is a preferred orientation of the grains (texturing) on the Phil. Trans. R. Soc. Lond. A (2004) 32 R. A. Baragiola surface: a common occurrence in foil or ribbon targets, where it is caused by the lamination process. This problem and that of surface contamination in insufficient vacuum are probably at the root of the large spread in experimental results that can be discerned in compilations of experimental sputtering yields (Andersen & Bay 1981; Yamamura & Tawara 1996). The excellent review by Andersen & Bay (1981) gives many details of important experimental issues that need to be addressed for accurate measurements of total sputtering yields but does not stress enough the need for very low pressures. The crucial criteria for good measurements are the purity of the ion beam (single mass, absence of multiply charged ions), the accurate measurement of the incident ion flux, the characterization of the target, and ultrahigh vacuum (less than 0.01 µbar). Unfortunately, most of the studies reported in the literature do not fulfil these criteria. To study the fundamental aspects of sputtering it is better not to modify the target material significantly during irradiation; this implies very low bombardment doses (projectiles per unit area). On the other hand, for specific applications such as depth profiling or ion-beam machining, the quantity of interest is the amount of material removed after irradiation with a large dose that produces significant erosion, roughening and contamination of the target by implanted ions (Lehrer et al . 2001). To understand those cases, experiments must be done under those conditions. For low-dose sputtering, two experimental methods are notable and are mentioned briefly here: the quartz-crystal microbalance (QCM) for absolute measurements of total sputtering yields and angular distributions, and sensitive laser techniques that are capable of measuring yields and the angular, mass and velocity distributions of the ejecta. The QCM is a simple and sensitive technique for measuring mass loss per unit area due to sputtering, allowing the use of a very small fluence of projectiles. The sensitivity can be better than 1% of a monolayer/second under irradiation (Balaji et al . 1990; Westley et al . 1995). The technique has some limitations, the most important being that the material must be deposited as a thin film onto the QCM so that bulk samples cannot be studied. Such films show an initial decrease in sputtering yield with dose as a few monolayers are sputtered away, most likely due to the removal of weakly bound adatoms (Oliva-Florio et al . 1983). The QCM can also be used to collect the ejecta on a plate to measure the amount of material sputtered. As with other collection techniques, it is important to quantify the sticking coefficient versus deposit thickness and to evaluate re-sputtering of the deposit by energetic reflected projectiles. Sensitive alternatives to the QCM technique for quantifying sputtered deposits are Auger or X-ray electron spectroscopies, Rutherford backscattering and radioisotope techniques. Using pulsed ion beams, it is possible to measure the velocity distribution of sputtered particles from their time of flight over a defined path. The elegant mechanical method developed by Thompson (1987) has now given way to laser techniques (Betz & Wien 1994). Depending on the specific set-up, the velocity distribution can be measured by the Doppler shift of laser-induced fluorescence, or by time-of-flight analysis of ions produced by laser ionization of the sputtered species. Examples of modern laser-based instrumentation can be found in Husinsky (1985), Wahl & Wucher (1994), Ma et al . (1995) and Pacholski & Winograd (1999). The laser techniques are much more complex (thus prone to error) and costly than the QCM method, but are preferable because not only are they at least as sensitive as the QCM for total yields but also they provide data on velocity distributions. Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles 33 sputtering yield (1 + γ )−1 2.0 1.6 Ag Cu 1.2 Cr 0.8 Al 0.4 Be V Si Ti Ni Co Fe Ge Mo Zr Pd Rh Ru Nb C 0 20 Au Pt Re Ir Os Hf Ta W 40 60 atomic number 80 U Th 100 Figure 2. Sputtering versus the atomic number of the target for 400 eV Ne+ projectiles (from Laegried & Wehner (1961)). γ is the secondary electron yield, which should be 0.5 (Baragiola 1994b). The next two sections survey observables for the cases of knock-on and electronic sputtering. 3. Knock-on sputtering (a) Total sputtering yields Figure 2 gives an example of sputtering yields induced by 400 eV Ne+ ions for a wide range of elements across the periodic table (Laegried & Wehner 1961). The oscillations with the atomic number are mainly due to variations in the surface binding energy U . Figure 3 shows the energy dependence of sputtering of Ni by a variety of ions at normal incidence (Biersack & Eckstein 1984). It can be seen that the sputtering yields rise from a threshold energy below which sputtering does not occur, passing through a maximum and then falling at high energies. For energies much larger than the threshold, sputtering follows the energy dependence of Sn = σ(T ) dT , the nuclear stopping cross-section (σ(T ) is the cross-section for energy transfer T ). The threshold is not at the surface binding energy U but at a substantially higher energy. Assuming that all collisions are binary (often a good approximation), it is required that the maximum value of the energy transfer T (the centre-of-mass energy) is larger than U . Moreover, sputtering also requires the motion of other atoms besides the one sputtered and the reversal of momentum—the projectile moves initially towards the surface, while the ejected atom must move outward. Typical values of threshold energies are 15–40 eV (Malherbe 1994). Unfortunately, most measurements at low energies with heavy ions have not used ion beams analysed in mass/charge and therefore they may have been contaminated with multiply charged ions which, because of their higher energy, dominate threshold behaviour, as shown by Baragiola et al . (1991) for the sputtering of inner-shell excited atoms. The threshold behaviour Phil. Trans. R. Soc. Lond. A (2004) 34 R. A. Baragiola 10 Xe Ar 1 sputtering yield Y Ne 10−1 4He 10−2 ion calc. meas. H D 4He Ne Ar Xe 10−3 10 102 103 104 incident energy E0 (eV) D H 105 Figure 3. Compilation of sputtering yields of Ni by different projectiles versus projectile energy. Also shown are values calculated using the transport of recoils and ions in matter (TRIM) Monte Carlo simulation program. (Reproduced with permission from Biersack & Eckstein (1984).) of sputtering, which is important in astrophysics and in many applications, is generally unexplained for heavy ions, especially on multi-component targets. (b) Effect of impact angle and channelling in single crystals When the projectile is incident at an oblique angle θ to the surface normal, the sputtering yield first increases with θ, as more of the projectile energy is deposited in the thin layer responsible for sputtering. However, increasing θ also means that more projectiles are reflected from the surface, thereby depositing substantially less energy. The competition of these two factors explains why the dependence of sputtering yield with angle of incidence Y (θ) peaks at some incidence angle θm . For incidents very close to 90◦ on a flat surface, Y should become zero, as the projectile is reflected due to a succession of very soft collisions (surface channelling) with energy and momentum transfer insufficient to eject a surface atom. Both θm and Y (θm ) increase with the energy of the projectile, as shown in figure 4. The study of Y (θ) requires flat surfaces and low doses, since surface roughness averages the angular dependence due to a distribution of microscopic incidence angles. Most published measurements of Y (θ) are affected by this problem at large incidence angles. In single crystals, Y (θ) is strongly modulated close to major crystallographic directions due to channelling, where atomic potentials steer the projectiles away from Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles Ar + → Au 35 Xe + → Cu 3 S(θ )/S(0) S(θ )/S(0) 2.5 30 keV 10 keV 6 keV 3 keV arccos θ 2 50 keV 30 keV 10 keV 5 keV arccos θ 2.0 1.5 1 0 20 40 60 θ (deg) 80 1.0 0 20 40 60 θ (deg) 80 Figure 4. Sputtering yield as a function of angle of incidence for Ar+ and Xe+ projectiles on polycrystalline films evaporated onto optically flat substrates and measured at low doses to prevent development of surface roughness. (Reproduced from Oliva-Florio et al . (1987).) small-impact-parameter collisions, thus decreasing the energy deposition and therefore the sputtering yield (Roosendal 1981). As mentioned above, channelling can also cause low sputtering at normal incidence for polycrystalline targets if they are textured with grains that have a preferential surface orientation. (c) Molecular effect and nonlinear effects The linear dependence of the sputtering yield with nuclear stopping cross-section Sn (Sigmund 1969) is not obeyed for high densities of energy deposition, as may be found in the superposition of collision cascades produced by the atomic components of molecular projectiles. The molecular effect is the difference in sputtering yield produced by a molecular projectile and the sum of the yields of each one of the atoms in the molecule, impinging independently in the solid. This effect usually appears as an enhancement of the yields for fast molecular projectiles, which is largest at the energy for maximum Sn . At low projectile velocities there is a depression of the yields, as shown in figure 5 (Oliva-Florio et al . 1979; Andersen 1993). However, a recent study (Yao et al . 1998) gave an unexpected enhancement in sputtering yield of Au + for N+ 2 compared with N below 500 eV, calling for further experimentation. Since the review of Andersen (1993) on nonlinear effects in sputtering, huge deviations from linearity were reported for MeV heavy molecular ions (Bouneau et al . 2002). Early comparisons with the linear theory of Sigmund (1969) suggested that nonlinearity is due to the appearance of collisions between moving atoms in the cascade. However, molecular-dynamics simulations show that collisions between moving atoms occur even when yields are linear with energy deposition and that the reason for the huge yields is shock waves, hydrodynamic flow and near thermal evaporation in the dense cascades (Jakas et al . 2002). Figure 6 shows that deviations from linear behaviour Phil. Trans. R. Soc. Lond. A (2004) 36 R. A. Baragiola 2.5 0.45 2.0 0.30 1.5 0.15 1.0 0 0.001 nuclear stopping cross-section Sn (reduced units) molecular to atomic yield ratio 0.60 0.01 0.1 energy per atom (ε units) Figure 5. Molecular effects on the sputtering yield of Au by Xe+ and Xe+ 2 ions versus reduced energy (Sigmund 1969). The line is the result from Sigmund’s analytical theory. (Reproduced from Oliva-Florio et al . (1979).) Stheor / Sexpt 1 Au 0.1 0 5 (dE/dx)n (100 eV Å−1) 10 Figure 6. Ratio of sputtering yields calculated by linear theory (Sigmund 1969) to experiments measured at low doses versus N Sn . The arrow indicates measurements at energies above the maximum of the stopping cross-section. (Reproduced from Oliva-Florio et al . (1987).) already occur at relatively low values of N Se ca. 100 eV Å−1 , where N is the target atomic density (Oliva-Florio et al . 1987). If the experiments with MeV clusters were to be extended to higher projectile masses, the results should merge with those from measurements of cratering induced by dust grains with diameter greater than 0.1 µm accelerated to several km s−1 , used to simulate micrometeorite impact in space (McDonnell 1992). These fast grains ‘vaporize’ the surface into a high-temperature plasma that leaves a crater at the impact point. The collection of the charge in the sputtered plasma is used to detect and identify dust particles by space probes (see Baragiola 1994a). A quantitative Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles 37 Ti 1.0 0.8 N(E) /N(Ew ) Ni Cu 0.6 Al 0.4 0.2 0 4 8 E (eV) 12 16 Figure 7. Energy distributions of sputtered particles from several targets bombarded with 900 eV Ar+ ions, measured for emission close to the surface normal. (Reproduced with permission from Oechsner (1970).) understanding of the factors governing sputtering in the transition from atomic to nanoparticle impacts is one of the unsolved problems in sputtering. (d ) Ejecta Extensive reviews of the angular and energy distribution of sputtered particles are given by Hofer (1991), Winograd (1993) and Betz & Wien (1994). In general, the angular distribution of sputtered particles varies as the cosine of the angle of emission with respect to the surface normal. The cosine distribution, which also pertains to sublimation, is a consequence of an isotropic distribution of moving recoils just below the surface. At glancing incidence or at low projectile energies, where few recoil collisions are important, the collision cascade is not isotropic. As a result, emission near normal incidence is depressed and the direction of incidence of the projectile becomes important. For multi-component targets, the angular distribution may depend on the specific atom being sputtered, affecting the characterization of sputtering by mass spectrometry along a specific emission angle (Wucher et al . 1988). In crystals there is a preferential ejection of atoms along close-packed directions that results in spotty deposits (Hofer 1991). These spot patterns are due to channelling and focusing in collision sequences (Thompson 1981, 2002; Hofer 1991). It is significant that directional effects due to the crystalline structure are not washed out by the apparently chaotic motion in the collision cascade. Spot patterns should lose prominence under conditions that give nonlinear sputtering yields. Studies of angular distributions have so far been done in conditions that produce surface roughness, which means that emission angles were not well defined. Observations of angular and energy distributions from atomically smooth surfaces at grazing emission angles should provide a sensitive test of models of surface barriers acting on sputtered atoms. Phil. Trans. R. Soc. Lond. A (2004) 38 R. A. Baragiola In addition to the observation of spot patterns in deposits, the measurements of energy distribution of sputtered atoms Y (E) have historical importance, since they confirmed that sputtering is due to non-equilibrated collision cascades and not to thermal effects. For low Y the distribution follows the expression E dY , ∝ dE (E + U )3 derived with the assumption of a planar surface barrier for sputtered particles (Thompson 1981, 2002), and generally reproduces experiments. Thompson’s expression gives a peak in dY /dE at E = U/2, which is of the order of what is observed (see figure 7). For large Y many atoms are emitted simultaneously from a microscopically small region, and the model for a planar surface barrier becomes unrealistic. A spherical surface barrier appears more adequate at not-too-large emission angles and gives a shift in the peak to lower energies. This effect has often been interpreted as an indication of thermal components to sputtering (thermal spikes). To clarify this problem, it should be useful to measure the ejecta at large emission angles, to maximize the difference between a cosine distribution proper of thermal evaporation and a broad distribution resulting from a quasi-spherical surface barrier. The expression for dY /dE given above holds only away from the maximum recoil energy given by energy and momentum conservation in binary collisions at the specific ejection angle being measured. Near the sputtering threshold, therefore, the energy distribution should have a different shape and be very narrow. (e) Sputtering of ions and excited atoms Except for the alkali metals and some ionic targets, ground-state neutrals constitute the vast majority of the ejecta with very weak emission of ions and excited atoms. The processes responsible for efficient neutralization at surfaces and the survival of ions and excited atoms have been reviewed by Yu (1991). Although the mechanisms of electron transfer between sputtered particles and surfaces are in principle understood, no theory is currently able to predict yields of excited and ionized species accurately. This is probably the most fundamental unsolved problem in sputtering. Although the positive-ion fraction can be as low as 10−5 and is extremely dependent on the matrix, it is of great value, since ions can readily be mass analysed and sensitively detected to give information about the composition of the sample. This is the basis of the technique of secondary-ion mass spectrometry (SIMS; see below). Yields of negative ions can be zero, since many elements do not have stable negative ion states. In addition, a fraction of neutrals similar to that of positive ions is ejected in an electronically excited state. A good reference for modern techniques for studying sputtering of excited atoms by photon emission is Cortona et al . (1999). The sputtering of inner-shell excited atoms that decay by Auger electron emission has been reviewed by Valeri (1993) and Baragiola (1994b). (f ) Sputtering of clusters The ejecta contain simple molecules and large clusters in addition to the generally predominant atomic species. Cluster emission has been reviewed by Hofer (1991) and Betz & Wien (1994). Recent relevant papers include those of Birtcher et al . (2000), Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles 39 Rehn et al . (2001) and Staudt & Wucher (2002). The formation of small molecules has been explained in some cases by association of atoms ejected very closely in phase space. This mechanism is insufficient for the emission of very large molecules that can only be explained by the simultaneous ejection of already associated atoms by shock waves or similar mechanisms. Whether an observed molecule existed already on the surface or was instead synthesized by sputtering has important implications for methods of surface analysis based on sputtering. In the case of biomaterials there is sufficient evidence of ejection of intact molecules, which has enabled a powerful method for biological analysis (see Sundqvist 1991; Ens 1993; Reimann 1993; Håkansson 1993). In extremely dense cascades, such as those resulting from excitation tracks produced by fission fragments, molecules can be synthesized at an earlier time and then subsequently ejected in the cascade—an example is the synthesis of C60 molecules from PVDF polymers by swift heavy ions, a phenomenon which is far from understood (Håkansson 1993). The emission of clusters Xn from a solid composed of X atoms is very weak but sufficient to make sputtering a useful method for producing clusters for subsequent studies of the transition between the atomic and the condensed states. The sputtering yield follows a power law distribution Y (n) ∝ n−δ ; the exponent δ is large for small clusters but the distribution falls more slowly (δ ≈ 2) for clusters with n > 500 (Rehn et al . 2001; Staudt & Wucher 2002). The description of sputtering of molecules containing hundreds of atoms is beyond the current capabilities of molecular-dynamics simulations, because of the difficulty and computer power needed for sufficiently accurate quantum-mechanical descriptions of the interactions and internal excitations. (g) Preferential sputtering of multi-component solids By multi-component solids we mean solids such as compounds, alloys, nanocomposites, etc., that are heterogeneous in composition on a scale smaller than the size of the collision cascade or the sputtered depth. Sputtering of such solids occurs commonly in astrophysics (see § 5) and in depth-profiling applications. In these cases it is found that different component atoms are removed at a different rate. This area of sputtering, which has been reviewed by Betz & Wehner (1983), Sigmund & Lam (1993), Malherbe (1994) and Gnaser (1996), is very undeveloped, since most extant experiments and theories have concentrated on elemental metals and semiconductors. Causes for preferential sputtering are differences in energy transfer with atomic mass, differences in the binding energies of each component, and chemical alteration with the formation and out-diffusion of volatile species. Due to preferential sputtering the target surface is enriched in the component that sputters less; this change in composition causes a dose dependence of the sputtering yield. The simplest materials to understand are metallic and semiconductor alloys. In general, it is not possible to calculate the surface composition from partial sputtering yields due to segregation, chemical changes, radiation-induced diffusion, recoil implantation and cascade mixing. Instances where complex phenomena arise are in oxides, polymers, minerals, etc.—the main reason being the changes in atomic composition, in molecular structure and in binding energies induced by ion impact. Due to the ubiquity of multi-component solids, the full understanding of preferential sputtering is one of the most important needs in the field of sputtering. Phil. Trans. R. Soc. Lond. A (2004) 40 R. A. Baragiola (h) Bombardment-induced topography Stochastic processes in sputtering, the relaxation of the material to the generation of point defects, inhomogeneities in the sample (e.g. pores, impurities) and the accumulation of implanted projectiles led to the development of topography in the surface being bombarded. This is one of the most complex problems in the field of sputtering. The effect of implanted gas on topography development, with implication for fusion reactors, was discussed by Scherzer (1983). Cone formation on surfaces, often attributed to impurities, has been reviewed in the book by Auciello & Kelly (1984). Recent reviews of topography induced by low-energy ion–atom collisions include those of Smentkowski (2000), Carter (2001), Murty (2002) and Valbusa et al . (2002). Scanning force microscopy of initial cratering has been discussed recently by Chey & Cahill (1997), Malherbe & Odendaal (1999) and Kim et al . (2003). Only recently has it generally been realized that microscopic craters with rims may be created more readily in events that do not produce sputtering, by the migration to the surface of vacancies and interstitials generated in the collision cascade in the bulk. The competition of material removal with bombardment-induced surface diffusion leads to the formation of ripples on the surface, with characteristics that depend principally on ion energy and incidence angle. Induced diffusion can also lead to smoothing of the surface (Chason et al . 1994; Mayr & Averback 2001). The area of ion-beam-induced topography is one of the most active sputtering topics at present, partly due to potential applications in nanotechnology (Chason et al . 1994; Jiang & Alkemade 1998; Rusponi et al . 1998; Facsko et al . 1999; Batzill et al . 2000; Frost et al . 2000; Costantini et al . 2001; Rost et al . 2001). 4. Sputtering by electronic excitations The initiation of sputtering by the conversion of electronic energy to atomic motion has been studied mostly in rare gas and molecular gas solids (Johnson & Schou 1993) and in alkali halides (Townsend 1983; Szymonski 1993). The particular case of electronic-energy deposition by slow multiply charged ions has been discussed, for example, by Varga & Diebold (1994), Schenkel et al . (2000) and Hayderer et al . (2001). For sputtering by MeV heavy ions and cosmic rays see Betz & Wien (1994) and Toulemonde et al . (2002). Electronic sputtering is of great importance because it provides a rare window into non-radiative relaxation of electronic excitations in insulators. Unlike the case of knock-on sputtering, the yields and energy distributions of the ejecta in electronic sputtering are extremely dependent on target properties. For this reason, we will divide the discussion according to the type of material. Unlike knock-on sputtering, which can occur on all materials, electronic sputtering only occurs on good insulators, where electronic excitations are not degraded quickly by excitation of electrons to the conduction band. In extreme conditions of electronic-energy deposition by fast heavy ions, the decay of the electronic relaxation can be sufficiently slow in metals (especially alloys) to produce radiation damage and sputtering. Experimentally, electronic sputtering is separated from knock-on sputtering by its different energy dependence: electronic sputtering is related to the electronic stopping cross-section Se rather than Sn . The dependence on Se is different for different solids and can vary from linear to cubic in the same material. Sputtering yields depend on Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles 41 16 Ar2+ Ar+ + Ar + (e− + K.E.) 14 1 Ar* + Ar 12 Ar2* potential energy (eV) 10 8 initial ionization event M-band luminescence 6 initial exitation event 4 2 2 0 2 Ar + Ar 3 4 internuclear separation (Å) 5 Figure 8. Potential-energy diagram appropriate to the sputtering of solid argon (see text). Arrows labelled ‘1’ and ‘2’ symbolize repulsive paths that may lead to sputtering. many sample properties besides surface binding energies, such as lifetimes of electronically excited states, hole mobilities, the presence of minute amounts of impurities and, importantly, on the precise shape of the intervening intermolecular potential curves. In addition, the dependence on energy deposition is different for projectile velocities below and above the maximum of Se . For these reasons, the understanding of electronic sputtering is still rather uncertain. (a) Rare-gas solids The electronic sputtering of rare-gas solids (Johnson & Schou 1993) has been well studied because of its fundamental simplicity, as these materials are elemental solids and do not undergo chemical modification during irradiation. As an example, consider the case of solid argon, where sputtering can be explained with the aid of the interatomic energy curves shown in figure 8. The impact of a fast ion produces a track Phil. Trans. R. Soc. Lond. A (2004) 42 R. A. Baragiola of ionizations (electron–ion pairs) and excitations (excitons) in the solid, following which the atomic ions and excitons diffuse primarily by resonant electron transfer with the lattice atoms. A diffusing Ar+ ion can strongly attract ground-state atoms + + forming an Ar+ 2 dimer (or an Ar3 , Ar4 multimer) that becomes trapped in 1–10 ps by a structural relaxation assisted by lattice vibrations. After electrons have slowed down sufficiently (in ca. 0.1 ns), they can undergo dissociative recombination, with Ar+ 2 producing excited Ar atoms (Ar*), ground-state Ar atoms, and kinetic energy (pathway ‘1’ in figure 8). If this recombination occurs near the surface, it can produce immediate sputtering of the Ar or Ar* involved or even of neighbouring atoms struck by the separating pair. Excitons can also be produced directly by the projectile, by its associated electronic-collision cascade, or by Auger recombination of an ion and an electron. Regardless of how an Ar* is formed, it can pair with a neighbouring groundstate atom in an attractive or repulsive state. If the interaction is repulsive and at the surface, the excited Ar* can desorb by a process called cavity ejection. In the attractive state, Ar* combines with a neighbour, again assisted by lattice vibrations, to form the Ar2 * excimer. The vibrationally relaxed Ar2 * excimer will then decay by emission of a 9.8 eV M-band photon to the ground state of Ar2 in ca. 3 ns (1.4 µs) for singlet (triplet) excimer states. Since the interatomic spacing of the excimer is significantly smaller than that of the ground-state atoms, the decay is to the repulsive part of the potential-energy curve. The kinetic energy released in this decay (path ‘2’ in figure 8) can also produce sputtering if the decay occurs near the surface. The total sputtering yield is proportional to Se , since the number of ionizations and excitations produced by the projectile per unit path length is proportional to Se . The production of excited states by the ion is very efficient; half of the electronic energy deposited by the ions is transformed into the 9.8 eV excimer luminescence (Grosjean et al . 1997). The simultaneous measurement of luminescence, charge collection and sputtering in solid Ar by Grosjean et al . (1995) allowed separation of the contribution of electron– ion pairs and direct excitations to sputtering. The study of the effect of the substrate and overlayers on the sputtering of thin Ar films (Grosjean et al . 2000) has produced further elucidation of the sputtering mechanisms and the role of diffusion and drift of excitons and holes. (b) Alkali halides A step up in complexity from the rare-gas solids is the alkali halides, which have also been studied extensively under electron and photon impact. These materials offer the advantage of easy preparation of crystalline samples. A distinguishing aspect is that the targets are modified by the formation of molecular halides and metallic alkalis; the highly volatile halogen molecules can leave the sample even at moderately low temperatures, whereas the alkalis can evaporate at room temperature due to their high vapour pressure. This leads to an interesting temperature dependence of sputtering. The mechanisms for halogen emission have similarities with the case of rare-gas solids (Townsend 1983; Szymonski 1993; Betz & Wien 1994) but there is, in addition, a thermal component of sputtering. The process starts with ionization and excitations that lead to the formation of a trapped molecular exciton that decays into an electron trapped at a halogen site (F-centre) and an energetic halogen (H-centre). From there, there are two possible pathways, sputtering either by a replacement-collision sequence or by thermalization and diffusion out of the solid. Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles 43 If the temperature of the sample is kept low, an alkali metal overlayer forms that inhibits electronic sputtering. At temperatures where the alkalis can desorb thermally, sputtering proceeds stoichiometrically. Contrary to what might be expected from such ionic solids, the vast majority of the sputtered particles are neutral. (c) Other insulators For condensed molecular gases, where binding energies are small and sputtering yields are large, it is often found that yields grow faster than linearly with deposited electronic energy (Johnson & Schou 1993). In the astronomically important case of ice, which we have recently reviewed (Baragiola et al . 2003), sputtering is proportional to the square of Se and results in the emission of H2 O and synthesized O2 and H2 molecules with a strong temperature dependence. The transition from the atomic to condensed phases is being investigated using large clusters (Bobbert et al . 2002). Other condensed gases, such as CO2 , SO2 , etc., show complex behaviour due to the multiplicity of chemical reactions that occur in the solid as a result of the radicals produced by the projectile. The sputtering of oxides by electronic excitations has recently been discussed by Itoh & Stoneham (2001) and Matsunami et al . (2002). This topic is important in astrophysical settings, the subject of § 5. 5. Sputtering in space The role of sputtering in astronomy has been reviewed by Johnson (1990), Tombrello (1993) and Hapke (2001). Energetic ions are ubiquitous in space and produce sputtering on any surface not protected by a substantial atmosphere. For instance, solarwind ions (protons, alpha particles and some heavier ions at ca. 1 keV/amu) sputter the surface of Mercury, our Moon, asteroids, comets, interplanetary dust and the satellites of the outer planets. The flux of the solar wind is low, ca. 2×108 ions cm−2 s at Earth, and decreases with the square of the distance to the Sun. However, in astronomical time-scales doses can be similar to the high doses achieved in the laboratory, i.e. ca. 6 × 1018 ions cm−2 in 1000 years. Laboratory data suggest that preferential sputtering of volatile components occurs in silicate minerals typical of the Moon (Johnson & Baragiola 1991) and asteroids (Dukes et al . 1999). In these objects sputtering competes with erosion by micrometeorite impact; the relative removal rates are mostly unknown. Higher fluxes of ions in the 1–1000 keV range exist in the planetary magnetospheres of Jupiter and Saturn and are responsible for surface erosion and modification of the icy satellites (Shi et al . 1995; Cooper et al . 2001). The substantial gravity of those satellites binds a large fraction of heavy sputtered species. Water molecules sputtered from the surface into the atmosphere can be dissociated by solar light or by magnetospheric particles. H and H2 , being light and therefore fast, can escape the gravitational pull. Molecular oxygen forms an atmosphere that does not condense at the satellite temperatures, which adds to the transient water vapour atmosphere (Shi et al . 1995). Cosmic rays in the interplanetary and interstellar media sputter efficiently but on very long time-scales, since fluxes are low. Sputtering of dust grains is an important process for the balance of grain destruction and creation in interstellar space (Dwek et al . 1996), where the dust grains are typically a few hundred nanometres or smaller in Phil. Trans. R. Soc. Lond. A (2004) 44 R. A. Baragiola size. For these small grains sputtering yields are enhanced, since the collision cascade intersects not only the entrance surface but, depending on the ion energy, the side and exit surfaces as well (Jurac et al . 1998). A symmetrical situation occurs when a high-velocity grain goes through a gas at rest. Such is the case for micrometre- or sub-micrometre-sized dust particles entering the Earth’s atmosphere at geocentric velocities of 0.2–1×107 cm s−1 , which are destroyed by sputtering and evaporation in collisions with atmospheric molecules (Meisel et al . 2002). 6. Applications (a) Surface preparation A common application of sputtering is cleaning surfaces for basic science studies. For instance, one can remove the native oxide layer of a silicon sample by sputtering with low-energy noble-gas ions (to avoid chemical effects of implantation) and then remove the radiation damage by high-temperature annealing. Several complications accompany sputter cleaning. (i) Ion bombardment also produces recoils in the contaminant layer, which move towards the bulk (recoil implantation) thereby slowing the cleaning process. (ii) Ion implantation, damage and the production of topographical features occur, which may not be acceptable. These can be removed by thermal annealing but only for those materials that can take high temperatures without decomposing, vaporizing or melting. (iii) Sputter cleaning is generally not possible for polymers, compounds, etc., which are chemically altered by preferential sputtering. These effects can be minimized by using the lowest projectile energy possible (e.g. 200 eV) at the expense of cleaning time. (iv) Impurity ions present in the sputtering beam, which originate in the ion source, are incorporated. These can be removed by mass analysis, a precaution not usually taken, since most ion guns in commercial surface-science equipment lack mass analysis. Sputtering can also be used to polish rough surfaces by using glancing incidence accompanied by azimuthal sample rotation (Wissing et al . 1996), while the angular distribution of reflected ions gives an indication of surface smoothness. A new method for surface polishing is the use of low-energy cluster beams, which are also useful for shallow ion implantation (Brown & Sosnowski 1995; Yamada 1999). As mentioned above, cluster beams produce effects that are nonlinear in the energy deposition. For low-energy cluster impact the effects include greatly enhanced sputtering yields and a distorted angular distribution of sputtered particles, since the cluster intercepts part of the ejecta. In other cases it is preferable to have rough surfaces that can be produced by sputtering. For instance, texturing of surfaces by ion impact is used to improve adhesion in thin-film deposition and may be applied in biomedicine (Kowalski 2001). Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles 45 (b) Depth profiling This is one of the most important applications of sputtering. Sequential removal of surface layers exposes the bulk of the material, allowing the generation of depth profiles (composition versus depth) by continuous elemental analysis using any of the standard surface-analysis techniques such as low-energy ion-scattering spectroscopy, X-ray photoelectron spectroscopy or Auger electron spectroscopy. An excellent review of the topic is given by Wittmaack (1991). The depth resolution of the sputter removal technique is limited by ion-beam mixing and surface roughness. In ion-beam mixing, layers at different depths are mixed prior to their removal by the collision cascade generated by penetrating ions. This process is complex because it depends on momentum transfer not only by the ions but by the (enhanced) diffusion that occurs during cooling of the collision cascade. The limitation of depth resolution by the induced roughness increases with sputtered depth; this effect can be reduced to a large extent by rotating the sample during sputtering, as mentioned above. Both ion-beam mixing and surface roughness are alleviated by using very low incident energies (e.g. 200 eV) at the expense of removal rate. (c) Surface analysis There are several surface-analysis techniques based on the mass spectrometry of sputtered species. The most popular is SIMS, which relies on measuring the mass spectra of the sputtered positive or negative ions. Description of the techniques is outside the scope of this paper but it should be said that SIMS is the most sensitive surface-analysis technique, that it can detect all elements (including hydrogen) and that, unfortunately, it is very hard to quantify even with standards, due to the extraordinary sensitivity of the ion yield to the local electronic structure of the sputtered species at the time of sputtering (matrix effect). For extensive reviews see Benninghoven et al . (1987), Wilson et al . (1989) and Stephan (2001). Secondary neutral mass spectrometry, or SNMS (Oechsner 1995; Nicolussi et al . 1996; He et al . 1997; Gnaser et al . 1998; Higashi 1999), is related to SIMS. Here the sputtered neutrals are ionized by electrons or a laser beam and then mass analysed. This technique has the potential to replace SIMS, since it largely circumvents the problem of the matrix effect in ion yields. Pacholski & Winograd (1999) review the use of mass spectrometry of sputtered particles for chemical imaging of surfaces, a fast-developing technical area. Another use of sputtered particles for surface analysis is given by the energy analysis of recoil atoms directly emitted by the projectiles. This recoil spectroscopy is a very powerful technique for the study of adsorbates on surfaces (Bertrand & Rabalais 1994). Finally, another view of the surface is obtained by wavelength analysis of the light emitted from radiative decay of excited sputtered species. Optical spectroscopy is a very powerful technique for identifying atoms and molecules, but it is not as straightforward as mass analysis in SIMS or SNMS. If, instead of using ion beams, we place the sample in a gas discharge and analyse the light emitted by the sputtered atoms, the technique is called glow-discharge optical-emission spectroscopy (Payling et al . 1997). Phil. Trans. R. Soc. Lond. A (2004) 46 R. A. Baragiola FOV 19 µm × 2 µm Figure 9. Membrane made by FIBs of an integrated circuit. Notice the topography induced by sputtering outside the membrane. (Reproduced courtesy of Micrion Inc.) (a) (b) 3 nm (c) 3 nm 0 nm 105 nm Figure 10. Scanning force microscopy (SFM) images of localization of human serum albumin (HSA) on a GaAs surface. (a) An array of pits milled by an In+ FIB. Small raised crater rims with apparent heights ca. 0.4 nm surround each pit, 60 nm in diameter and greater than or equal to 0.8 nm deep. (b) HSA adsorbed from a solution is adsorbed preferentially to the inner portion of the rims of the pits. Sizes of (a) and (b) are 1 µm × 1 µm. (c) Close-up of HSA molecules adsorbed on the rim of one pit. (Adapted from Bergman et al . (1998).) (d ) Sputtering with nanoscale focused ion beams (FIBs) The production of microstructures by controlled ion beams (Hauffe 1991; Li et al . 2001) has seen a dramatic development in the last decade or so due to the spreading availability of nanometre-sized ion beams from field emission liquid-metal ion sources. In the FIB accelerator, typically 20–60 keV Ga+ ion beams are focused on a spot that can be a few nanometres in diameter. Computer control of the FIBs can be used to machine complex structures; this application needs new modelling tools when the lateral dimensions of the ion-milled structures become of the order of, or smaller than, the lateral extent of the collision cascade. This implies sputtering not only Phil. Trans. R. Soc. Lond. A (2004) Sputtering: observations and derived principles 47 from the surface on which the FIB is incident but also from side surfaces, a situation falling outside the range of standard Monte Carlo simulations such as TRIM. This situation is common in the popular technique of specimen thinning for transmission electron microscopy (Ishitani & Yaguchi 1996). See figure 9 for an application to semiconductor devices. Patterns formed by FIBs have widespread applications. Shallow pits on GaAs surfaces sputtered by a computer-controlled FIB (see SFM images in figure 10) were used by Bergman et al . (1998) to localize proteins on a surface. It must be noted that writing surfaces with nanometre-sized ion beams is very slow and therefore the method is not suitable for applications requiring mass production of features on the scale of centimetres or larger. Finely focused beams can nevertheless be very useful in making prototypes or building blocks of structures that can be replicated by other means. Such tiny structures can have unusual properties for applications in microelectronics, photonics, micromechanics and biomedicine. (e) Sputter deposition The collection of the ejecta on a substrate forms the basis for the method of sputter deposition, one of the most widely used thin-film-deposition techniques in the laboratory and in industry (McClanahan & Laegreid 1991; Wasa & Hayakawa 1992; Wadley et al . 2001). Sputtered films have higher adhesion to the substrate than films produced by thermal evaporation, due to the hyperthermal energy of the sputtered particles (see figure 7) but sputter deposition is very difficult to use to produce stoichiometric films of multiple components, such as superconductor oxides. Although sputter deposition with ion beams is used, it is much more common to employ different types of gaseous-discharge apparatus. This brings us back to the beginning of the story, the observation of sputter deposits in a discharge tube by Grove nearly 150 years ago. 7. Outlook It is interesting and refreshing to note how an intriguing observation by Grove has evolved for so many unanticipated and beneficial applications. While we should acknowledge the historical importance of Grove’s curiosity, it should be said that most of the advances in the field have happened in the last 40 years, energized by discoveries in the laboratories of Gottfried Wehner and M. W. Thompson. Activity in basic experimental research has decayed lately but it nevertheless has, as reviewed here, produced many interesting new observations, particularly when using molecular and cluster ion beams or high-energy deposition densities. In these cases there is still the need to know the effect of incidence angle, changes in the angular and energy distribution of the ejecta and the threshold behaviour of the yields. Fundamental advances might result from experiments designed to map the transition from impact with large clusters to impact with microscopic dust particles. Further experimentation is needed in preferential sputtering of compounds, including chemical changes to ceramics, polymers and biomaterials and, in general, in sputtering by electronic transitions, where the high material specificity makes it difficult to reproduce experimental results. The current understanding of sputtering has led to its applications in other sciences and to engineering and industry. For instance, a great deal of progress is being made Phil. Trans. R. Soc. Lond. A (2004) 48 R. A. Baragiola in understanding the role of sputtering in space, which spans from the destruction of interstellar dust by fast ions in supernova shocks to the production of atmospheres around icy satellites in our Solar System. Sputtering has greatly aided surface analysis by providing an easily understandable way to sequentially etch materials with extremely high resolution. Sputtered ions are being used routinely in SIMS, the most sensitive technique to identify trace elements on surfaces. 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