1. Introduction
During the transport of kilo-electron-volt electron beams in a forevacuum (1–100 Pa), a beam plasma is generated with an electron density
ne ≈ 10
9–10
12 cm
−3 and a temperature
Te ≈ 1.5 eV [
1,
2]. Such plasma is a convenient tool for catalyzing the process of nitriding metals, due to the efficient breakdown of nitrogen molecules into atoms by the electron beam [
3,
4,
5]. The high efficiency of molecular dissociation and ionization in the beam plasma, as well as the steady positive potential of the plasma [
6], make such plasma attractive for applications in the ion plasma modification of materials. Additionally, in the forevacuum pressure range, the beam plasma ions’ neutralization of electric charges on the surfaces of nonconductive materials makes possible a direct electron-beam modification of dielectric materials. It is of practical interest to use electron-beam evaporation of high-temperature ceramics with ensuing ionization of the evaporated material and synthesis of dielectric coatings [
7,
8,
9].
The beam plasma ion composition during the electron-beam evaporation of a solid target has an effect on the formation of coatings and their parameters. It is, therefore, important to have reliable measurements of the beam plasma ion composition and identify the main physical mechanisms responsible for ionization processes in the plasma.
The purpose of this work was to carry out experimental studies and numerical estimates related to measurements of the beam plasma ion composition, and to determine the contribution of beam and plasma electrons to the ionization processes of plasma generation in the forevacuum range of operating pressures, as well as to study the effect of the metal and ceramic vapor produced by the electron beam on the ion composition of plasma.
2. Experimental Results
Figure 1 shows the experimental results for the mass spectra studies of gas vapor ions conducted on the installation equipped with a high-vacuum pumping system (
Figure 1a–c) and with a forevacuum pumping system (
Figure 1d). As seen below, in both cases, the ratio of the number of ions (the area of the peak) of the operating gases in the pair practically coincides with the ratio of ionization probabilities by the beam electrons of the corresponding gases (see
Table 1). The calculation of the ratio of probabilities included all ions of the pairs of gases, as shown in
Figure 1.
This fact indicates that ionization of beam plasma occurs predominantly due to high-energy beam electrons. It should be noted that the ratio of the numbers of ions corresponds to the ratio of the probabilities of their ionization under conditions of both high-vacuum pumping and fore-vacuum pumping. Thus, the quality of vacuum does not ultimately affect the ionization mechanism.
Figure 2 shows the effects of the vapor of different metals and alumina ceramics on the transformation of the mass spectra of gas plasma. For all evaporated materials used in these experiments, the spectra show the dominance of ions of evaporated material over gas ions. Since the power density of the electron beam was fixed for all beam positions, we attribute the difference in the signal amplitudes during the metal evaporation (Ti, Fe, Cu) to the difference in their melting temperatures (T
Ti = 1668 °C, T
Fe = 1538 °C, T
Cu = 1085 °C).
In the case of evaporated alumina ceramics, the predominant ions are of aluminum and sodium, despite the sodium content in the ceramics being as low as a few percent. It should be noted that the graphs in
Figure 2 are plotted in absolute units, so the increase in the number of ions of the residual atmosphere cannot be related with an increase in the density of evaporated materials.
To explain this fact, we make use of the results obtained in the first part of our work. According to these results, the number of ions in the beam plasma essentially depends on the ionization cross-section of atoms and molecules under consideration. Let us consider the ionization cross-sections of our evaporated materials (
Figure 3) obtained by different authors [
10,
11,
12]. As seen in
Figure 3, the ionization cross-section of water molecules is significantly lower than that of any of the presented elements; accordingly, the ionization probability of water vapor molecules is less than the ionization probabilities of metal vapors. This explains the sharp decrease in water vapor ions in the spectrum when metal vapors are present in the plasma, and the recovery of the original picture when they are absent.
In the case of evaporated alumina ceramics, the spectrum predominantly recorded ions of atomic sodium and aluminum, along with a small number of clusters based on them (AlO
+ and Al
2O
+, NaO
+), which is in qualitative agreement with our previous experiments [
13]. The initial rise in the number of sodium ions in
Figure 2 is due to its low melting temperature (97.79 °C), while the drop is due to the rapid evaporation of small amount of sodium from the bulk of the material. Note that the small amplitude of AlO
+ cluster ions does not signify the presence of a small amount of corresponding neutrals in the total flux, since the ionization cross-section of AlO molecules is smaller than that of Al atoms by a factor of almost 2.5, while the ionization potential is higher by almost 4 eV [
14]. The aforementioned facts indicate that the ionic composition of beam-produced plasma can be freely controlled by changing both the parameters of the measured beam (energy and current) and the material of the target to be evaporated. This can be used as a catalyst for increasing the coatings deposition rate, as well as for the modification of the coatings’ structure and properties, due to the directed action of the ion flux onto the processing substrate.
3. Experimental Setup and Technique
The first set of experiments was aimed at revealing the role of plasma and beam electrons in the ionization of the operating gas and, accordingly, in the generation of the beam plasma. The idea behind the experiment was to admit a pair of inert gases (argon-helium, argon-neon, neon-helium, and argon-krypton) into the vacuum chamber with an equal partial pressure of about 1 Pa. Inert gases were chosen in order to exclude the effect of dissociation. The selected gases in each pair had sharp differences in the ionization potentials and cross-sections (argon-helium, argon-neon). To eliminate the effect of Penning ionization, we used the gas pairs (helium-neon, argon-krypton) with ionization potentials above the excitation energy of metastable levels.
During the beam plasma generation, we measured the ion composition of plasma and determined the ratio of the ion components of the particular gas pair. This ratio was compared with theoretical estimates of the ratio of ionization probabilities of the given pair of gases by plasma and beam electrons. The temperature of plasma electrons was assumed to be 1.5 eV [
1] and the electron energy distribution to be Maxwellian.
The experimental setup is shown in
Figure 4. The beam plasma was generated using a forevacuum hollow-cathode plasma electron source, operating in a continuous mode. A detailed description and the working principle are discussed in [
15]. At an accelerating voltage of 10 kV, the electron beam current was maintained at a level of 50 mA. The plasma ion composition was measured with an RGA-300 residual atmosphere quadrupole mass spectrometer (Residual Gas Analyzer, Stanford Research Systems, Sunnyvale, CA, USA). When conducting the experiments, we replaced the analyzer ionizer with a two-electrode ion-optical system to extract ions from the beam plasma (
Figure 5). As opposed to the previous design of the mass spectrometer [
16], the electrodes were made of stainless steel with a higher temperature resistance. The extraction plate and the drift tube were combined into one extracting electrode. This solution enabled us to reduce the number of insulators and sealings between the electrodes in the ion extraction region where the temperature was maximal.
The extracting electrode is a thin-walled tube with one end shut by a 2 mm thick plate with a small hole of Ø0.6 mm. This electrode provides the ion flux transport from its generation region (the area of the electron beam’s interaction with the target) to the separation region (quadrupole rods of the mass analyzer). In this case, despite the chamber pressure of a few pascals, due to the pressure drop at the entrance aperture of small diameter, the extracted ions are transported at a pressure no greater than 10−2 Pa. The ion flux separation region was additionally evacuated by a vacuum post HiCube 80 Eco (Pfeiffer Vacuum, Wetzlar, Germany) at a pumping rate of 67 L/s. In order to exclude foreign impurities, the spectrometer ion-optical system was designed is such a way that the current leads to electrodes were located outside the vacuum chamber. As a result, this system was able to withstand continuous operation at a high heat load when generating the beam plasma and evaporating the solid target with the electron beam.
Since the current-receiving part of the mass analyzer is at the ground potential, and the beam plasma potential is positive of a few volts [
6], for the beam plasma ions to reach the current-receiving part, a positive potential of 17 V relative to the ground was applied to the electron beam collector (a heavy iron cylinder, 85 mm high and 65 mm in diameter). To direct the ion flux to the separation region (quadrupole rods of the mass analyzer), a negative bias potential of 12 V was applied to the extracting and focusing electrodes of the extracting ion-optical system.
In order to determine the effect of the residual atmosphere on the ionization mechanism, parts of the experiments were carried out on the installation equipped with an oil-free pumping system: a nEXT300D turbomolecular pump with a pumping rate of 300 L/s (Edwards Ltd., Burgess Hill, West Sussex, UK). As a result, the chamber was evacuated to the limiting pressure 0.027 Pa. This installation was used to study the spectra of the following mixtures: neon-helium, neon-argon, and argon-helium. The argon-krypton spectrum was studied using the installation with one pumping stage. The vacuum was provided by a BOC Edwards E2M80 (Edwards Ltd., Burgess Hill, West Sussex, UK) mechanical rotary vane pump with a pumping rate of 20 L/s. The limiting residual pressure in this case was 1.7 Pa.
Since we actively use the forevacuum plasma electron source to deposit coatings based on electron-beam evaporation of various metals [
17] and alumina ceramic [
7], the second set of experiments was devoted to studying the effect of the material vapor on the ion composition of the beam plasma.
To this end, graphite crucibles were mounted on the electron beam collector of the experimental installation with one pumping stage. Fragments of various metals (titanium, iron, copper) and alumina ceramics were put inside the crucibles. Numbers in
Figure 6 show the positions of the electron beam at different moments of time.
In these experiments, the energy of accelerated electrons was maintained at a level of 7 keV; the beam current was 100 mA; the operating gas pressure (in this case helium) was 5 Pa.
4. Estimation of the Contribution of Plasma Electrons and Beam Electrons to Ionization
The contributions of two groups of electrons determine the steady state ion composition of the plasma, which can be measured using a mass-to-charge spectroscopy technique. Moreover, by comparing the measured ion composition of the plasma with the estimates of the ionization probabilities of each of the gas mixture components, one can make a conclusion as to which electron group is the major contributor to the beam plasma generation.
To estimate the role of plasma electrons in the beam plasma formation for a given gas pair, let us use the known expression for the ionization output
νi at electron energies close to the ionization energy. This expression is derived assuming a Maxwellian distribution of electron energy, and a linear approximation of the dependence of the electron impact ionization cross-section on the electron energy [
18]
where C
i is a constant in the linear dependence of the ionization cross-section on temperature,
na is the number density of gas molecules,
ne is the number density of electrons, and
Ui is the ionization potential.
At equal partial pressures of the gas mixture components, the ratio of ionization probabilities
P1 and
P2 is reduced to the ratio of their ionization rates
The beam electrons have practically the same energy, which significantly exceeds the energy corresponding to the maximum ionization cross-section. In this case, the ratio of the electron-beam ionization probabilities is determined by the ratio of ionization cross-sections of the gas pair at a fixed electron energy.
We use the Lotz approximation for ionization of an atom from the ground state [
19,
20].
where
a,
b,
c are constants of the empirical formula [
20],
qi is the number of equivalent shell electrons,
E is the electron energy, and
Ua is the ionization potential.
The results of the estimates and measured values of the ion composition of all of the gas pairs used in the experiments are summarized in
Table 1. The estimates are made for a plasma electron temperature of 1.5 eV and an electron beam energy of 10 keV.
The results of this study will be useful for scientists working on applied research in the field of deposition of various types of ceramic–metal coatings using the electron-beam method. The findings regarding the ionic composition of the beam plasma will make it possible to effectively control the rates of coating deposition as well as their composition.