Application of an orthogonally polarized laser scheme for selective photoionization of palladium isotopes

radioactive waste are presently unable to be utilized due to the co-presence of long-lived radioactive isotopes. To date, techniques to selectively remove radioactive isotopes have not been established on a commercial scale. Palladium is one of the platinum group metals and is of high value in industry, and as ore deposits are rare, motivation for recycling is high. Palladium is present in the yield from fission processes, containing the isotopes Pd (16.9%),Pd (29.3%), Pd (21.3%), Pd (17%), Pd (11.7%) and Pd (3.8%) [2]. The isotope Pd is not naturally occurring and has a half-life of 6.5 million years, meaning simply storing for an extended period is not feasible (in contrast to rhodium, for example, which essentially becomes inactive after 50 years). There are three methodologies to recycle Pd with laser photoionization; firstly, resonance ionization mass spectrometry (RIMS) [5, 6]. Secondly, using very narrow line-width lasers precisely tuned to the transition for the isotope; this technique, however, is not considered viable as the isotope shifts for Pd [7] are much smaller than the Doppler-broadened absorption linewidths. Thirdly, a general technique proposed by Balling and Wright [8] using circularly polarized lasers for isotope selectivity, in which only odd-mass-number isotopes having nonzero nuclear spin (and thus having hyperfine structure) are able to be ionized due to selection rules. The feasibility and practicality of this third technique when applied to platinum group metals is reported by Chen [9], and may yield higher selectivity ratios than RIMS [10], although further development is required to fully assess any relative merits. Presented here, as an extension to the third technique using circularly polarized lasers, is a means using two counter-propagating, orthogonally orientated, linearly polarized laser beams. This is a considerably simpler method, and we demonstrate complete selectivity of odd-mass-number Abstract We present a technique using two orthogonal linearly polarized lasers to improve practical implementation of the separation of oddand even-mass-number palladium isotopes. Dye lasers are used for a three-step photoionization of vaporized palladium, where due to the transition selection rules only odd-mass-number isotopes are ionized and removed from the palladium beam via an electric field. Schemes presented in the literature use two counter-propagating circularly polarized beams, which are in practice difficult to implement perfectly. In contrast, two counterpropagating orthogonally polarized beams are technically less demanding to implement, yet the scheme retains the same high selectivity demonstrated in this work of >1200 (or 99.7 ± 0.3 %).


Introduction
High-level radioactive wastes produced from nuclear power plants contain yields of a few percent of platinum group metals such as palladium, rhodium, zirconium and plutonium; metals that are valuable in industry in quantities comparable to that available from natural reserves [1]. Considerable research has investigated the separation of these valuable metals from other nuclides [2][3][4] including recovery from tailings from previous decades of fission waste. However, these platinum group metals contained in isotopes from even-mass-number isotopes (within observation error), which is equally efficient as the selectivity obtained in this work using circularly polarized light.

Principle of Pd isotope selective photoionization
Firstly, we briefly summarize the conventional scheme of selective ionization using lasers having circular polarization based on the selection rules for atomic absorption. For left circularly polarized (LCP) light, ∆m J = +1 for isotopes having zero nuclear spin (I = 0) and ∆m F = +1 for isotopes having non-zero nuclear spin (I ≠ 0). Here, J is the total angular momentum of the electrons, and F = I + J is the total angular momentum of the electrons and the nucleus. When the first excitation laser is LCP, the quantization axis is set, exciting electrons from the ground state ( 1 S 0 ) to the first intermediate state, populating the m J = +1 sublevel of the first intermediate state ( 3 P 1 ). Excitation by a second LCP laser to the second intermediate state ( 3 P 0 ) is forbidden for even-mass-number isotopes (I = 0), but allowed for odd-mass-number isotopes (I = 5/2). Finally, a third excitation laser ionizes those isotopes having electrons in the second intermediate state.
Two counter-propagating linearly polarized beams with orthogonal polarization have been applied to the selective resonant ionization of even-and odd-mass-number isotopes of Sn [11] and Yb [12][13][14]. Selective resonant ionization of 91 Zr from other Zr isotopes has also been investigated as a function of angle between the polarization axes of consecutive laser pulses [3]. The selectivity scheme for orthogonal polarization can be rationalized by considering that one of the linearly polarized beams can be decomposed into the superposition of right and left circularly polarized (RCP + LCP) beams with quantization axis parallel to the polarization direction of the first beam. Transitions involved in the first two steps of excitation obey the selection rules ∆m J = 0 and ∆m J = ±1 for even-mass-number isotopes and ∆m F = 0 and ∆m F = ±1 for odd-mass-number isotopes. Usually, the quantization axis is most conveniently defined with respect to the first beam, and hence, ∆m J = 0 and ∆m F = 0 can be applied to the first step, and ∆m J = ±1 and ∆m F = ±1 to the second step. However, the converse is equally valid, that is, ∆m J = ±1 and ∆m F = ±1 for the first step and ∆m J = 0 and ∆m F = 0 for the second step if the quantization axis is chosen with respect to the second beam. For the sake of simplicity, only the selection scheme based on the former choice of quantization axis is illustrated in Fig. 1. Irrespective of the choice of quantization axis, ionization is only allowed for isotopes with odd mass number. For completeness, we note that the selectivity scheme using orthogonally polarized lasers can be extended out of the 'plane' consideration and into a third dimension, as described in Chernomorets et al. [15], in which a threedimensional excitation geometry is used to distinguish the angular momenta of autoionizing states of Pu.
In practice, the production of linearly polarized light with orthogonal polarization is significantly simpler than that of circular polarization, which is advantageous for the separation of even-and odd-mass-number isotopes of Pd. Specifically, a commercial broadband polarizing beamsplitter has a broadband high extinction ratio of greater than 1000:1 (or using a broadband alpha-BBO glan-laser polarizer, the extinction ratio is 100,000:1). Accordingly, orthogonally polarized beams with high purity are very easy to obtain. In contrast, the use of commercial quarter-wave plates which are not specifically designed for the wavelengths used in the two-step excitation scheme leads to the generation of elliptically polarized beams, which results in excitation of undesired even-mass-number isotopes and degradation in the selectivity. To obtain high selectivity, it is critical to employ custom-made quarter-wave plates for the particular wavelengths employed for the experiments.

Apparatus
In this study, an electron beam source (ULVAC EGK-3) is directed into a crucible of Pd and produces a Pd vapor that is then collimated by two 10-mm-diameter apertures, as shown in Fig. 2. The atomic density in the interaction region with the lasers is of order 10 10 cm −3 . Any ions produced in the vaporization process are deflected by a charged plate before the interaction region.
Three dye lasers (Lambda Physik FL3002 × 2, Lumonics HD500) having pulse width of 20 ns and repetition rate of 10 Hz are pumped by a single excimer laser (Lambda Physik Compex 103) and have approximately equal path lengths to ensure synchroneity in arrival time in the interaction region with the Pd atoms. Note that all wavelengths reported here are in vacuum and are results of measurements using a frequency counter calibrated using an optogalvanic neon gas cell. The first dye laser at 552.6 nm is frequency doubled in a BBO crystal to produce the first excitation wavelength (λ 1 ) of 276.3 nm, exciting Pd atoms into the 4d 9 ( 2 D 5/2 )5p 2 [3/2] 1 state. The wavelength of λ 1 is optimally tuned by maximizing the fluorescence signal to the 4d 9 ( 2 D 5/2 )5 s 2 [5/2] 2 state via emission of 351.8 nm light, detected by a photomultiplier tube (PMT). The second excitation wavelength (λ 2 ) of 521.1 nm is produced from the second dye laser and excites Pd atoms from 4d 9 ( 2 D 5/2 )5p 2 [3/2] 1 to 4d 9 ( 2 D 5/2 )5d 2 [1/2] 0 . The wavelength of λ 2 is tuned by maximizing the decay emission to 4d 9 ( 2 D 3/2 )5p 2 [3/2] 1 at 666.4 nm.
The third excitation wavelength (λ 3 ) at 730.9 nm is produced by the third dye laser which, rather than excitation into the continuum, enhances ionization efficiency via the Rydberg autoionizing state 4d 9 ( 2 D 3/2 )11p 2 [1/2] 0 [16]. The third laser is inserted co-linear to the second laser with a dichroic mirror >95 % reflective at wavelengths shorter than 633 nm and >95 % transmissive above 685 nm. The first laser is counter-propagating to the second and third lasers (Fig. 2). Of note are the 6 GHz bandwidths of the Fig. 2 Experimental setup showing common excimer pulse exciting three dye lasers used to produce the three-step ionization process. λ 2 and λ 3 are combined using a dichroic mirror (a) and directed through polarizing beam-splitter cubes (extinction ratio 1000:1) and wave plates (b) to arrive simultaneously with the counter-propagating pulse of λ 1 in the interaction region. Pd is vaporized in the crucible (c) by deflected electron beam bombardment and collimated by a 10-cm aperture in the (d) heat shield. A charged plate (e) deflects downwards any ions produced in the vaporization process. A thickness meter (f) is used to monitor the rate of atomic Pd. Charged plates in Wily-McLaren configuration (g) repel photoions produced in the interaction region toward a microchannel plate detector (h) lasers in our system, which are considerably wider than the isotope shifts of approximately 50 MHz for 4d 10 1 S 0 → 4d 9 5p 2 [3/2] 1 [7]. No change in the selectivity between odd-and even-mass isotopes was observed when the time delay between first-and second-step laser pulses was changed (delays of up to 4 ns, in increments of 0.1 ns).
We utilize custom-made quarter-wave plates (Castech Inc. WPCT-254-1/4-W276 and WPCT-254-1/4-W521) having manufacturing precision limited specifications of retardance of 89.774° at 276 nm for λ 1 , and 89.25° at 521 nm for λ 2 , both having a wavelength-dependent retardance of 0.25°/nm. Comparison is made between the circular polarization and orthogonal linear polarization schemes using the same optical pathways and excitation laser wavelengths: quarter-wave plates for λ 1 and λ 2 for the former scheme are simply interchanged with half-wave plates for the latter scheme.
Photoions are horizontally repelled by a set of three charged grids, and the relative amounts of Pd isotopes are detected using a microchannel plate (MCP), forming a time-of-flight mass spectrometer in a Wiley-McLaren configuration [17].
Mass separation of Pd photoions is done in a 1-m fieldfree flight tube before the MCP, with applied voltages on the three repeller plates of (4.0, 2.5, 0) kV, giving a flight time of photoions of approximately 16 μs. This provides a mass resolution (m/∆m) of 600, which is sufficient to distinguish the isotopes of Pd. Statistical fluctuations in the observed signal are averaged over several hundred laser shots on a 500-MHz storage oscilloscope.

Results and discussion
We have separated odd-mass-number isotopes of Pd from the Pd atomic vapor using the conventional circular polarization scheme and the proposed linear polarization scheme with orthogonal polarization. In these demonstrative experiments, we use natural samples in which the isotope 107 Pd is not present; however, as 105 Pd and 107 Pd have nuclear spin (I = 5/2), both isotopes are expected to behave identically in the separation process.
To compare with data reported in the literature, we present results in terms of the separation factor β commonly used to report results on fractional separation of a pair of similar elements, defined as the ratio of one element to the other in one fraction divided by the corresponding ratio in the other fraction, β = A 1 B 1 · B 2 A 2 [18]. This measure can thus be applied to quantify the efficacy of the even-and oddmass-number isotopes before and after the separation process. In the results of Yamaguchi and Sasao implementing a three-step ionization process based on circular polarization [19,20], the separation factor achieved is β = 9.9, or equivalently, an increase in odd isotopes relative to all isotopes ( odd Pd/ all Pd) of 23-74 %. As will be discussed later, we suspect that the relatively poor performance in separation is due to λ 1 having excessive fluence.
The results obtained in the work presented here are shown in Fig. 3 where (1) is the observed natural abundance observed using two-photon excitation of 276.3 nm light, which is in agreement to that reported in the literature [21], (2) selectivity of 99.7 ± 0.3 % or equivalently β ≈ 1220 achieved using the circular polarization scheme, and (3) identical performance in selectivity and yield (within experimental error) using linearly polarized light with orthogonal polarization.
In this work, it is found that the separation factor β is very much dependent on the fluence of λ 1 . To obtain high Degradation in even-odd mass isotope separation due to twophoton, single-wavelength ionization with increasing pulse fluence (pulse duration 20 ns) for laser λ 1 selectivity of even-and odd-mass-number isotopes (for both schemes), the fluence of laser λ 1 must be sufficiently low such that the single-color (λ 1 ) two-photon ionization yield is negligible. The relative percentage of odd-massnumber isotopes of Pd as a function of laser fluence of λ 1 is shown in Fig. 4, where complete separation is achieved at comparatively low fluence <0.8 μJ/cm 2 . Investigation into the photoionization yield as a function of λ 1 only (ie., no λ 2 or λ 3 ) reveals that this decrease in selectivity is entirely due to single-color ionization. This condition has to-date been overlooked in the literature yet is of critical importance in practical application of Pd isotope separation projects.
In contrast, the restriction on the fluence of λ 2 is considerably lower as the transition from the first excited state 4d 9 ( 2 D 5/2 )5p 2 [3/2] 1 to the second excited state 4d 9 ( 2 D 5/2 )5d 2 [1/2] 0 is forbidden for even-mass-number isotopes, and therefore, selectivity will degrade only when the fluence of λ 2 is greater than the threshold at which selection rules break down. We found the separation ratio is unchanged even at the maximum available fluence with our laser system of 1300 μJ/cm 2 .
Given the requirement of retaining high selectivity, the necessarily low fluence of λ 1 is in conflict with the need for high yield in Pd recycling projects. The beam area can be increased (although this is limited by the diameter of the Pd vapor column), but available power of λ 2 and λ 3 becomes a limiting factor if the beam areas of these lasers are correspondingly increased. A multi-pass configuration in which the interaction volume of Pd and lasers can be extended significantly by multiple reflections of the lasers (extending incrementally in the direction of the Pd atoms) is an effective method of increasing yield with the available laser power.

Conclusion
Separation of even-and odd-mass-number isotopes of Pd using orthogonally polarized lasers has been demonstrated and yields identical performance of 99.7 % selectivity compared to a scheme using lasers with circular polarization. The orthogonally polarized scheme has the advantages of being simpler to implement and also lends itself favorably to a multi-pass configuration.