1 INTRODUCTION

Interest in the laser separation of boron isotopes has increased recently [14] because of their application in important industrial branches, in medicine [57], and in space experiments [8]. Boron in nature exists in the form of two isotopes 10B (about 19.8%) and 11B (about 80.2%) [5, 6]. The thermal neutron capture cross section of 10B is very large, about 3837 b [9] (1 b = 10–24 cm2). This cross section for most nuclides is about several or fractions of barn. For this reason, materials enriched in the 10B isotope (boric acid, boron carbide, and other compounds) are widely used in the nuclear power industry. The 11B isotope is used in electronics industry as a dopant in the manufacture of semiconductor products [6, 7]. Consequently, the development of methods of efficient technologies for the separation of boron isotopes is important and relevant.

The most efficient method of molecular laser separation of isotopes is currently the selective infrared multiphoton dissociation of molecules by the radiation of a pulsed periodic CO2 laser [10, 11]. Therefore, it is reasonable to use this method in the technological process of separation of boron isotopes. It was successfully applied in the practical technology for laser separation of carbon isotopes [12, 13].

For the molecular laser separation of isotopes with existing efficient pulsed CO2 lasers, infrared absorption bands of the chosen molecules should be in the generation range of the CO2 laser and have a fairly large (\( \geqslant {\kern 1pt} 5{-} 10\) cm–1) isotopic shift. In addition, a quite low energy density of laser radiation for the efficient isotope-selective dissociation of these molecules is desired.

One of the most suitable compounds for the laser separation of boron isotopes is the gaseous BCl3 compound. Infrared absorption bands of \({{\nu }_{3}}\) vibrations of 11BCl3 (≈954.2 cm–1) and 10BCl3 (≈993.7 cm–1) molecules [14] are in resonance with the P and R branches of the 10.6-μm band of the CO2 laser, respectively. The isotopic shift between the indicated infrared absorption bands of 11BCl3 and 10BCl3 molecules is \(\Delta {{\nu }_{{{\text{is}}}}} \approx 39.5\) cm–1 [14]. The isotope-selective laser infrared multiphoton dissociation of molecules was demonstrated for the first time just with BCl3 molecules [15]. The isotope-selective dissociation of BCl3 molecules in the radiation of a high-power pulsed CO2 laser with the use of various acceptors of radicals (H2, NO, H2S, D2S, HBr, etc.) to suppress the association of BCl2 radicals and Cl atoms formed at the dissociation of BCl3 molecules [16] was studied in detail in numerous subsequent works [1626].

It was established that oxygen is a quite good acceptor of radicals to achieve a high selectivity and a high dissociation yield for BCl3 molecules [1719, 22]. The final products of the infrared multiphoton dissociation of BCl3 molecules in the presence of oxygen are B2O3 and Cl2 [17]. The solid B2O3 compound is deposited in the form of a film on the walls and windows of the cell, where the gas is irradiated. It was shown in [17, 23] that acceptors of radicals are hardly responsible for any significant increase in the selectivity and yield of dissociation of BCl3, as well as for the reduction of the threshold for the dissociation of molecules.

Previous studies show that the efficient infrared multiphoton dissociation of BCl3 molecules requires pump laser radiation with fairly high energy densities (\(\Phi \geqslant 20{\kern 1pt} \) J/cm2) [23, 24] mainly because of a high binding energy of the molecules (≈110 kcal/mol [27]). Consequently, only focused laser beams can induce the infrared dissociation of molecules. At the same time, the use of focused laser beams usually reduces the isotopic selectivity of the dissociation of molecules [10, 11].

The selectivity of dissociation of 10BCl3 and 11BCl3 molecules excited by single-frequency laser radiation is α(10B/11B) ≤ 8 and α(11B/10B) ≤ 2.5, respectively [2224]. In this case, the dissociation yields for molecules (recalculated to the laser-irradiated volume of the gas in the cell) were low (\({{\beta }_{{10}}} \approx {{\beta }_{{11}}} \leqslant (2{-} 8) \times {{10}^{{ - 4}}}\) [24]). The selectivity and yields of the dissociation of BCl3 molecules pumped by two-frequency laser radiation are much higher (α(10B/11B) ≥ 8; \({{\beta }_{{10}}} \geqslant 10{\kern 1pt} \% \); \({{\beta }_{{11}}} \geqslant 20{\kern 1pt} \% \)) [28, 29]. In this case, the threshold for the dissociation of molecules decreased significantly (to \({{\Phi }_{1}}\), \({{\Phi }_{2}} \geqslant 2{-} 3\) J/cm2). However, the practical technological implementation of the laser separation of boron isotopes with the two-frequency dissociation of molecules is very difficult.

In this work, we find that the use of SF6 molecules as sensitizers and acceptors of radicals in the isotope-selective laser infrared molecule dissociation of BCl3 molecules significantly increases the efficiency of the dissociation of 11BCl3 molecules. This is very important and relevant for the technology of the laser separation of boron isotopes.

2 EXPERIMENT

The experimental setup (Fig. 1) included a frequency-tunable pulsed CO2 laser, forming optical elements, a 112-mm-long stainless steel gas cell 24.2 cm3 in volume with BaF2 windows for the irradiation of studied molecules, and calorimetric (TPI-2-5) and pyroelectric (SensorPhysics Model 510) detectors to measure the energies incident and transmitted through the cell. The pulse of the CO2 laser consisted of the leading peak with a FWHM duration of about 80 ns and the tail part with a FWHM duration of about 750 ns, which contained approximately one-third of the energy of the pulse. The laser beam was collimated by a long-focus lens (f = 1 m) to the cell. The energy in the laser pulse was 0.7 to 3.0 J, depending on the lasing frequency and on the partial composition of the laser mixture. The laser frequency was varied in the range of 9.2–10.8 μm. To determine the frequencies of radiation lines of the CO2 laser, we used an optoacoustic detector with the NH3 reference gas. The transverse energy density distribution and the area of the cross section of the laser beam were determined by scanning of a microprobe across the laser beam in the mutually perpendicular directions at the input and output of the cell.

Fig. 1.
figure 1

(Color online) Schematic of the experimental setup: (1) mirror, (2) long-focus lens, (3) attenuators of laser radiation, (4) splitter plate, (5) detector of radiation, (6) cell with the irradiated gas, and (7) absorber of radiation.

3 METHOD

The infrared multiphoton dissociation of BCl3 molecules selective in boron isotopes was carried out with the tuning of the frequency of the CO2 laser to the 932.96-cm–1 10P32 line, which coincides with the long-wavelength wing of the absorption band of the ν3 vibration of 11BCl3 molecules (≈954.2 cm–1 [14]). The absorption band of the ν3 vibration of molecules SF6 (≈948 cm–1 [30]) is redshifted by about 6.2 cm–1 from the center of the absorption band of 11BCl3 molecules (Figs. 2a–2c). The absorption bands of both 11BCl3 and SF6 molecules under infrared laser multiphoton excitation are redshifted (to the laser frequency) because of the anharmonicity of vibrations and fall in the exact resonance with the laser field [3134]. The effective infrared multiphoton excitation of both SF6 and 11BCl3 molecules occurs and the absorbed energy is transferred from the former to the latter molecules. Since the absorption bands of SF6 and 11BCl3 molecules almost coincide, the vibrational–vibrational energy exchange between them is resonant and occurs very effectively [35, 36]. This exchange increases the yield of the dissociation of 11BCl3 molecules. Since the dissociation energy of SF6 molecules (≈92 kcal/mol [37]) is lower than that of BCl3 molecules, SF6 molecules are also dissociated at high pump energy densities.

Fig. 2.
figure 2

(Color online) (a) Infrared absorption bands of the ν3 vibrations of 11BCl3 and 10BCl3 molecules in the 11.2‑cm-long cell at a pressure of 0.35 Torr. (b) Infrared absorption band of the ν3 vibrations of SF6 molecules in the cell at a pressure of 0.15 Torr. (c) Infrared absorption bands of the ν3 vibrations of 11BCl3, 10BCl3, and SF6 molecules in the cell at pressures of BCl3 and SF6 molecules of 0.35 and 0.15 Torr, respectively.

Laser infrared multiphoton dissociation of 11BCl3 molecules occurs through the photochemical reaction

$$^{{11}}{\text{BC}}{{{\text{l}}}_{3}} + nh\nu \to {{\;}^{{11}}}{\kern 1pt} {\text{BC}}{{{\text{l}}}_{2}} + {\text{Cl}},$$
(1)

where \(nh\nu \) means n absorbed infrared laser photons.

The products of dissociation induced by the irradiation of the gas were enriched in the 11В isotope, whereas the residual BCl3 gas was enriched in the 10В isotope. Dissociation yields, which are fractions of molecules dissociated in the irradiated volume per laser pulse, were determined from changes in infrared absorption spectra for each of the BCl3 isotopic components.

Absorption spectra were recorded with an FT-801 infrared Fourier transform spectrometer. The dissociation yields β11 and β10 were calculated from the partial pressures of the respective components iBCl3 (i = 10, 11) before \(({{p}_{{i,0}}})\) and after \(({{p}_{i}})\) irradiation by laser pulses using the relation

$${{\beta }_{i}} = {{\Gamma }^{{ - 1}}}[1 - {{({{p}_{i}}{\text{/}}{{p}_{{i,0}}})}^{{1/N}}}],$$
(2)

where \(\Gamma \approx 0.083\) is the ratio of the irradiated volume (\({{V}_{{{\text{irr}}}}} \approx 2.0{\kern 1pt} \) cm3) to the volume of the cell (\({{V}_{{{\text{cell}}}}} = \) 24.2 cm3) and N is the number of pump pulses. The intensities of the absorption band of 11BCl3 molecules before and after irradiation were measured at a frequency of about 954.2 cm–1 (approximately at the maximum of the absorption band of 11BCl3 molecules), at which SF6 molecules hardly contribute to absorption at pressures used in experiments (see Fig. 2b). The selectivity α(11B/10B) was determined as the ratio of the dissociation yields of 11BCl3 and 10BCl3 molecules

$$\alpha {{(}^{{11}}}{\text{B}}{{{\text{/}}}^{{10}}}{\text{B}}) = {{\beta }_{{11}}}{\text{/}}{{\beta }_{{10}}}.$$
(3)

4 RESULTS AND DISCUSSION

The main parameters of selective laser infrared multiphoton dissociation of BCl3 molecules, namely, the dissociation yields β11 and β10 of 11BCl3 and 10BCl3 molecules, respectively, as well as the selectivity α(11B/10B) of the dissociation of 11BCl3 molecules from 10BCl3 molecules, were measured in the experiments. The dependences of these parameters on the pressures of the irradiated BCl3 and SF6 gases, as well as on the pump laser energy density, were obtained.

Figure 3 presents infrared absorption bands of the ν3 vibrations of 11BCl3, 10BCl3, and SF6 molecules (1) before and (2) after laser irradiation and the infrared absorption bands of the 851.4 cm–1 ν1 vibration and the 909.1 cm–1 ν8 vibration of the formed SF5Cl product [38]. The initial pressures of BCl3 and SF6 molecules in the cell were 0.35 and 0.15 Torr, respectively. The pump laser energy density was 1.91 J/cm2. The number of irradiation pulses was N = 1800. In addition to SF5Cl molecules, we detected BCl2F, BClF2, and BF3 molecules in the products of dissociation; their infrared absorption spectra are not presented in Fig. 3.

Fig. 3.
figure 3

(Color online) Infrared absorption bands of the ν3 vibrations of 11BCl3, 10BCl3, and SF6 molecules (1) before and (2) after laser irradiation and the infrared absorption bands of the formed SF5Cl product with centers at frequencies of 851.4 cm–11 vibration) and 909.1 cm–18 vibration) [38]. The initial pressures of BCl3 and SF6 molecules in the cell are 0.35 and 0.15 Torr, respectively. The energy density of exciting laser radiation is 1.91 J/cm2 and the number of pulses is N = 1800.

Figure 4 shows the dependences of (a) dissociation yields β11 and β10 of 11BCl3 β11 and 10BCl3 molecules, respectively, and (b) the selectivity α(11B/10B) of the dissociation of 11BCl3 molecules from 10BCl3 molecules on the pressure of SF6 in the range of 0.05–2.0 Torr at a fixed pressure of 0.35 Torr of BCl3 molecules and the energy density of pump radiation of Φ ≈ 2.1 J/cm2. It is seen that dissociation yields of 11BCl3 and 10BCl3 molecules in the considered pressure range of SF6 molecules increase from β11 \( \approx \) 4.5 × 10–4 and \({{\beta }_{{10}}} \approx 3.4 \times {{10}^{{ - 4}}}\) at the irradiation of BCl3 molecules in the absence of SF6 to \({{\beta }_{{11}}} \approx 8.5 \times {{10}^{{ - 2}}}\) and \({{\beta }_{{10}}} \approx 7.2 \times {{10}^{{ - 2}}}\), respectively, in the case of the irradiation of BCl3 molecules in the presence of SF6 at a pressure of 2.0 Torr.

Fig. 4.
figure 4

(Color online) (a) Dissociation yields (1) β11 and (2) β10 and (b) the dissociation selectivity α(11B/10B) versus the pressure of CF6 molecules at the pressure of BCl3 molecules of 0.35 Torr and a pump laser energy density of 2.1 J/cm2.

Thus, the dissociation yield of BCl3 molecules irradiated in the presence of SF6 increases by more than two orders of magnitude. It is noteworthy that the addition of SF6 molecules to a pressure of only 0.1 Torr increases the dissociation yield of 11BCl3 molecules by more than an order of magnitude. This also means that the addition of SF6 molecules strongly reduces the threshold energy density for the dissociation of 11BCl3 molecules. The dissociation yields of 11BCl3 and 10BCl3 molecules increase monotonically with the pressure of SF6 in the range of ≈0.5–2.0 Torr.

The selectivity α(11B/10B) ≈ 1.3 of the dissociation of 11BCl3 molecules from 10BCl3 molecules irradiated in the absence of SF6 molecules increases sharply to α(11B/10B) ≈ 8.0 in the presence of SF6 at a pressure of ≈0.15–0.2 Torr. With a further increase in the pressure of SF6 to ≈0.4 Torr, the selectivity decreases rapidly to α(11B/10B) ≈ 3.0 and then decreases slowly to α(11B/10B) ≈ 1.0 at a pressure of SF6 ≥ 1.5 Torr. Thus, the selectivity of the dissociation α(11B/10B) in the case of irradiation of BCl3 molecules at a pressure of 0.35 Torr in the presence of SF6 molecules is maximal at the pressure of SF6 in the range of 0.15–0.25 Torr. The selectivity α(11B/10B) in the presence of SF6 is more than a factor of 3–5 higher than that for BCl3 molecules irradiated in the absence of SF6.

Figure 5 presents the dependences of the dissociation yields of 11BCl3 and 10BCl3 molecules, as well as the dissociation selectivity α(11B/10B), in the mixture of BCl3 and SF6 molecules in the cell at their partial pressures of 0.35 and 0.1 Torr, respectively, on the energy density of exciting laser radiation in the range from ≈1.8 to 3.4 J/cm2. It is seen that the dissociation yields of BCl3 molecules increase rapidly with the pump energy density because infrared dissociation at the considered laser energy densities is above-threshold and is comparatively far from saturation in view of a high binding energy of BCl3 molecules.

Fig. 5.
figure 5

(Color online) (a) Dissociation yields (1) β11 and (2) β10 and (b) the dissociation selectivity α(11B/10B) versus the energy density of exciting laser radiation at the pressures of BCl3 and SF6 molecules in the cell of 0.35 and 0.1 Torr, respectively.

On the contrary, the selectivity of the dissociation of 11BCl3 molecules α(11B/10B) decreases rapidly with an increase in the pump energy density. At the same time, the dissociation selectivity in the presence of SF6 molecules at all studied pump energy densities is a factor of 2–5 higher than that in the absence of SF6. The observed dependences of the dissociation yields and selectivity on the pump energy density are characteristic of the isotope-selective laser infrared multiphoton dissociation for numerous types of molecules [10, 11].

5 CONCLUSIONS

A strong increase in the efficiency of isotope-selective infrared laser multiphoton dissociation of 11BCl3 molecules in the natural mixture with 10BCl3 has been detected when the irradiated mixture is supplemented with SF6 molecules, which resonantly absorb laser radiation and serve as sensitizers and acceptors of radicals. It has been shown that the yield and selectivity of dissociation of 11BCl3 molecules in the mixture in the presence of SF6 molecules are one or two orders of magnitude and a factor of 2–5 higher and the threshold energy density for dissociation is about an order of magnitude lower than the respective parameters in the case of the absence of SF6 molecules. This property allows the single-frequency isotope-selective infrared laser multiphoton dissociation of 11BCl3 molecules by unfocused laser beams at a moderate energy density (\( \leqslant \)4–5 J/cm2). The results obtained in this work are important and relevant for the development of a laser technology for separation of boron isotopes because they make it possible to obtain the BCl3 molecular gas highly enriched in the 10B isotope because of the dissociation of 11BCl3 molecules in the natural mixture with 10BCl3 molecules.