Shi-Bo Cheng1, A W Castleman2. 1. Department of Chemistry, The Pennsylvania State University, University Park, Pennsylvania 16802, United States. 2. 1] Department of Chemistry, The Pennsylvania State University, University Park, Pennsylvania 16802, United States [2] Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, United States.
Abstract
Direct experimental determination of precise electron affinities (EAs) of lanthanides is a longstanding challenge to experimentalists. Considerable debate exists in previous experiment and theory, hindering the complete understanding about the properties of the atomic anions. Herein, we report the first precise photoelectron imaging spectroscopy of europium (Eu), with the aim of eliminating prior contradictions. The measured EA (0.116 ± 0.013 eV) of Eu is in excellent agreement with recently reported theoretical predictions, providing direct spectroscopic evidence that the additional electron is weakly attached. Additionally, a new experimental strategy is proposed that can significantly increase the yield of the lanthanide anions, opening up the best opportunity to complete the periodic table of the atomic anions. The present findings not only serve to resolve previous discrepancy but also will help in improving the depth and accuracy of our understanding about the fundamental properties of the atomic anions.
Direct experimental determination of precise electron affinities (EAs) of lanthanides is a longstanding challenge to experimentalists. Considerable debate exists in previous experiment and theory, hindering the complete understanding about the properties of the atomic anions. Herein, we report the first precise photoelectron imaging spectroscopy of europium (Eu), with the aim of eliminating prior contradictions. The measured EA (0.116 ± 0.013 eV) of Eu is in excellent agreement with recently reported theoretical predictions, providing direct spectroscopic evidence that the additional electron is weakly attached. Additionally, a new experimental strategy is proposed that can significantly increase the yield of the lanthanide anions, opening up the best opportunity to complete the periodic table of the atomic anions. The present findings not only serve to resolve previous discrepancy but also will help in improving the depth and accuracy of our understanding about the fundamental properties of the atomic anions.
Owing to the existence of abundant unpaired f electrons, lanthanide elements form
a very important group in the periodic table, which are highly valuable to many modern
technologies, including clean energy, consumer electronics, and advanced transportation,
etc. Unlike main group elements, however, the knowledge of the fundamental
physicochemical properties of the lanthanides is extremely limited, which hinders the
complete understanding about the properties of atoms. Specifically, one of the greatest
concerns that has puzzled the experimentalists and theoreticians for several decades is
the electron affinities (EAs), which can be viewed as one of the most important
properties in ionic chemistry123, of the lanthanide atoms. Note that,
as the simplest systems, research on the EAs of atoms can be traced to 1950s and
1960s456. Pioneered by Branscomb et al., the
photodetachment of the atomic H− and
D− have been performed in a modulated crossed-beam
experiment4. Subsequently, Lineberger and co-workers made a
significant contribution to this scientific field. Advanced dye lasers have been
employed by them to measure the EAs of elements via high-resolution threshold
photodetachment spectroscopy78, enabling them to obtain the total
photodetachment cross sections of a series of atomic anions. Although the negative ion
properties of many elements have been reported9101112, the
information about experimental EAs of the lanthanide atoms is still limited, or even
conflictive with respect to the theoretical predictions.It is well-accepted that the experiments and theoretical calculations on lanthanides are
particularly challenging. Theoretically, the large number of electrons and presence of
open shells (d and/or f) in lanthanides result in extremely complicated
calculations on the electronic structures of these heavy elements1213.
Experimentally, it is quite challenging to produce sufficient anions that can be used in
the photodetachment experiments. This situation is especially true for most of the
lanthanide anions except La− and
Ce− since the yields of the latter were found three
orders of magnitude greater than those of other lanthanide anions14. In
early 2000s, a series of measurements of EAs of lanthanides were attempted by Davis and
Thompson, including Eu15, Tm16, and Pr17.
EAs of ~1 eV were reported for these lanthanides, implying a
relatively strong interaction between the extra electron and the neutral. These findings
were considered as a breakthrough in atomic negative ions field. Subsequent high-level
theoretical calculations, however, raised questions about these measurements181920. Theoretical EAs of most lanthanides are only dozens or hundreds
of meV, much smaller than previous experimental results. In some cases, the experimental
EAs are one order of magnitude larger than theory, e.g., Eu. The EA of Eu was
measured to be 1.053 ± 0.025 eV
(strongly-bound)15, while the theoretical values are about 0.117 and
0.116 eV (weakly-bound), respectively1820. Note that only a
rough lower limit of the EA of Eu (≥0.05 eV) was estimated by
Nadeau et al. due to the limitations of the experimental technique14. Such a significant discrepancy between experiment and theory clearly shows the
challenge in obtaining accurate EAs of lanthanides. It is necessary to mention that some
recent studies measured the EA of another lanthanide, Ce, whose yield of the anion is
much higher than that of Eu−14. Although Davis and Thompson
suggested a 0.955 ± 0.026 eV EA for Ce
based on their LPES experiment21, a subsequent reinterpretation of the
LPES data claimed an EA of 0.660 eV22, which is consistent
with later experimental results along with the theoretical predictions1923242526. Thus, no significant discrepancy exists in Ce, which is
completely different from the present case, Eu. As for Eu, therefore, a central and
important question is: can we increase the yield of Eu− to a
detectable level and then understand the true interaction between the additional
electron and the neutral in Eu− ion?We explored this question by utilizing the photoelectron spectroscopy, which has been
proven to be a powerful approach to directly probe the electronic properties of atoms
and clusters2728293031323334353637383940.
Herein, we present direct experimental observations on the features of the electron-atom
interaction in Eu−. The EA was measured to be
0.116 ± 0.013 eV, representing a
weakly-bound character between the extra electron and Eu, which is in outstanding
agreement with recently reported high-level theoretical calculations with the values of
0.117 and 0.116 eV, respectively1820. The present finding
reveals the first precise experimental EA of Eu, clearly eliminating the longstanding
discrepancy in previous experiment and theory. Also, the new experimental strategy
proposed herein has been found successful in producing detectable lanthanide anions,
providing the best opportunity in completing the periodic table of the negative
ions.
Results
Mass spectrum of the europium (Eu) anion
The greatest challenge hindering the attainment of correct EAs of most of the
lanthanides is the difficulty of producing sufficient anions that can be used in
the photodetachment experiments utilizing conventional experimental method. In
photodetachment experiments, helium (He) or argon (Ar) is widely used as an
effective expansion or cooling gas to produce pure atomic or cluster anions41. For example, Ce− can just be
generated by using such experimental method25. However, in the
case of Eu−, employing these conventional carrier
gases did not produce any detectable atomic anions, probably because the yield
of Eu− is much lower than that of
Ce−14. In one of our recent
studies, it has been established that the addition of N2O into helium
is beneficial to produce smaller oxide clusters, e.g.,
MgO−40. Thus, a possible strategy
for synthesizing Eu− is proposed as follows:
utilizing N2O+ He as a reactant gas to increase the yield of
EuO− followed by increasing the output of the
ablation laser to provide sufficient energy to open the reaction channel
dissociating EuO− into Eu−
and O. Figure 1 displays the mass spectrum of the
EuOx−
(x = 0–4) clusters using the abovementioned
method. It was found that the intensity of the Eu−
signal is very sensitive to the power of the ablation laser, and the Eu anion
can only be observed at high laser power. The inset in Fig.
1 is an enlarged spectrum in the range of 140 to 190 m/z
to clearly show the peak distribution of Eu−, in
which two isotopes at 151 and 153 amu are evidenced. The assignment of the
Eu− peak is validated from both the
mass-to-charge ratio and the isotopic distribution. It is worth noting that
there may exist another dissociation channel, e.g.
EuO− → Eu + O−,
which is probably more favorable than the suggested channel forming
Eu− since atomic O has a higher EA than that of
Eu. This could be deduced from the relative low intensity of the
Eu− peak observed here, as shown in Fig. 1. However, the encouraging experimental fact is that,
as will be shown in the following section, we were able to acquire the
photoelectron image of the Eu− by photodetaching the
experimentally produced anions. This indicates that the experimental strategy
used here successfully increased the yield of the Eu−
ion to a detectable level, which could be viewed as a significant advance in
producing the gas-phase lanthanide anions. These findings open up great
opportunity for us to correctly understand the fundamental properties of these
heavy f-block atoms.
Figure 1
Time-of-flight mass spectrum of Eu− and
monoeuropium oxide clusters.
The inset shows the enlarged spectrum in the range of 140 to
190 m/z.
Photoelectron imaging spectroscopy and EA of Eu
Figure 2 depicts the photoelectron image and corresponding
binding energy spectrum of Eu− obtained at
532 nm photon energy. The double yellow arrow represents the
direction of the laser polarization. As shown in Fig. 2,
three prominent rings can be identified, labeled X, B and D. Careful inspection
of the spectrum reveals many other resolved peaks at the binding energy range of
1.63–2.30 eV, which will be discussed below. The weak
ring X appears at the very edge of the camera, implying an extremely low binding
energy for this transition. Among the observed peaks in the photoelectron
spectrum, the ones lying at low binding energy region (up to 0.4 eV)
are more interesting since they contain the EA defined transition. To clearly
show the peak distributions of this region, an enlarged spectrum is included as
an inset in Fig. 2. As shown in the inset of Fig. 2, peak X is the most intense transition in the low
binding energy region, and the measured binding energy is
0.116 ± 0.013 eV. In most of the
photodetachment process, it is generally accepted that, among adjacent
transitions, the peak with the greatest intensity results from transition
between lowest-lying levels42. It is, therefore, reasonable to
temporarily assign X as the EA defined peak coming from the transition between
the ground state of Eu− to the corresponding neutral
ground state, and the EA of Eu is
0.116 ± 0.013 eV.
Figure 2
Photoelectron image and corresponding photoelectron spectrum of
Eu−.
The spectrum was obtained at 532 nm photon energy. The inset
shows the enlarged spectrum in the range of 0 to 0.4 eV.
In order to validate the above identification, we have compared the energy
spacings of the observed peaks (Fig. 2) with well-known Eu
neutral spectrum43, which can provide the most straightforward
and strongest support for our assignment of the EA defined peak. This is also
the reason that we utilized 532 nm (2.33 eV) laser
wavelength to detach Eu−, which is energetically
accessible to generate neutral Eu in excited states, while the
1064 nm (1.17 eV) photon energy is not sufficient to
produce excited Eu neutral. Recently, Beck et al. theoretically suggested
that the photodetachment channels from anionic ground state to
10P7/2 and 8P5/2 neutral
thresholds of Eu will produce stronger peaks located at 1.862 and
2.088 eV, respectively, in the photoelectron spectrum18. This prediction is nicely reproduced in our spectrum (Fig.
2) since the two strongest transitions B and D appear at 1.864 and
2.088 eV, respectively. Therefore, considering the energies of these
two transitions and the known term energies from previous atomic absorption
spectroscopy43, the EA of Eu can be calculated to be about
0.119 eV, which is closer to the suggested EA defined peak (X) than
any other adjacent peaks in the low binding energy region. This provides the
first experimental evidence that our assigned EA defined peak (X) is
reliable.Figure 3 shows the energy levels of neutral Eu43 with those of the Eu anion sketched in. As shown in Fig. 3, photodetachment with 532 nm photon
energy will raise the energy of the ground-state Eu anion by 2.33 eV
to an energy level from which it will be able to eject an electron. Taking the
suggested EA value
(0.116 ± 0.013 eV) of Eu into
account, the absorbed photon energy is capable of producing neutral atom either
in ground state (8S7/2) or in one of several excited
states (10D,
10P,
8D,
8P, or
6P). Therefore, the PES
can be expected to consist of six groups of peaks. Moreover, the j-level
fine structure resulting from the spin-orbit splitting of these levels should
produce structures in each of these peaks. To observe the fine structures
clearly, the higher binding energy region (1.63–2.30 eV)
of the spectrum (Fig. 2) has been enlarged, and is shown
as Fig. 4. Note that all peaks in Fig.
4 represent the transitions between the anionic Eu level and the
excited states of neutral Eu. As shown in Fig. 4, five
groups of peaks are observed, labeled as A,
B, C, D, and E, respectively,
corresponding to the transitions to different excited states of neutral Eu.
These fine structures allow us to further verify the assignment of the EA
defined peak suggested here by comparing them with the known neutral
excited-state term energies43. In Table
1, the binding energies of different peaks are listed along with the
energy levels of neutral Eu extracted from the present measurements. The known
excited states of neutral Eu are also summarized for comparison43. As shown in Table 1, good agreement between the
present measurements and the well-established electronic structures of neutral
Eu43 is evidenced with the maximum deviation of only
0.018 eV, giving us further confidence that our assignment of the EA
defined peak (X) is correct. Note that the electron configuration of the
ground-state Eu− is
4f 7
6s2 6p (vide infra). And, according to the electronic
structures of Eu43, the electron configurations for the final
neutral excited states corresponding to the peaks B, D and E
are 4f 7 6s 6p,
while those of the peaks A and C are
4f 7 5d 6s.
Thus, the peaks B, D and E could occur from direct
photodetachment of a 6s electron. In the case of peaks
A and C, they may be formed via
multi-step processes. Here, we provide one possible explanation about the
formation of peaks A and C, which is as
follows: the absorption of the photon energy (2.33 eV) may promote
the ground-state Eu− ion to an excited anionic state
probably with a 4f 7 5d
6s2 electron configuration followed by a 6s
orbital detachment to form the final neutral thresholds since the photoelectron
angular distributions (PADs) of these peaks (see Fig. 2)
are preferably oriented parallel to the laser polarization, which imply that the
photoelectron detachment occurs from atomic orbital of a mainly s-type
character. Lastly, Beck et al. suggested that the cross sections of the
4f 7
6s2
6p → 4f 7
6s 6p channels should be much larger than those in the
4f 7
6s2 6p (electron configuration of ground-state
Eu−) → 4f 7
6s2 (electron configuration of ground-state Eu)
photodetachment channels18, which is also evidenced in the
present experiments since the intensities of peaks B and D (s-electron
detachment transitions) are much stronger than that of the p-electron
detachment band (X) (Fig. 2). Therefore, based on all
these findings, it is reasonable to conclude that the peak X in Fig. 2 represents the transition from the ground state of
Eu− to the corresponding neutral ground state,
and the EA of Eu is determined to be
0.116 ± 0.013 eV. Additionally,
it is necessary to mention that the electron configuration of the ground state
of Eu− should be
4f 7
6s2 6p (9P3) since
the measured EA of Eu is in excellent agreement with the theoretical value
calculated by Beck et al. with the basic assumption that it is the
p-electron attachment leading to the formation of ground-state
Eu− from neutral Eu
(4f 7
6s2) atom18.
Figure 3
Schematic of energy levels in neutral and anionic Eu observed in the
experiment.
The energy levels of the neutral Eu are obtained from Ref. 43, while those of the anionic Eu are acquired from the
present experiment. The EA of Eu is defined as the energy difference between
the lowest energy levels of the neutral and the anion. Leading electronic
configurations and LS terms are included.
Figure 4
Enlarged photoelectron spectrum of Eu− between 1.63 and 2.30 eV.
Transitions from anionic ground state to
different excited states of neutral Eu atom are labeled using different
letter series (A, B, …),
and are indicated by different color lines. Transitions from one excited
anionic state are marked with apostrophe.
Table 1
Atomic energy levels (in eV) in Eu0/−.
Band
Binding energy (eV)
Atomic energy level (eV) (this work)
Atomic energy level (eV) (Ref. 43)
Term of final state
X'
0.039
−0.077
—
—
X
0.116
0
0
8S7/2
A
1.725
1.609
1.602
10D5/2
A1
1.746
1.630
1.618
10D7/2
A2
1.773
1.657
1.639
10D9/2
A3
1.797
1.681
1.668
10D11/2
A4
1.830
1.718
1.708
10D13/2
B
1.864
1.748
1.744
10P7/2
B1
1.910
1.794
1.806
10P9/2
C
1.995
1.879
1.877
8D3/2
C1
2.009
1.893
1.891
8D5/2
C2
2.024
1.908
1.912
8D7/2
B2
2.044
1.928
1.932
10P11/2
C3
2.063
1.947
1.944
8D9/2
D
2.088
1.972
1.970
8P5/2
E
2.261
2.145
2.150
6P7/2
Experimental binding energies (BEs) have an uncertainty of
±0.013 eV. The present atomic energy
levels are obtained by calculating the energy differences
between peak X and other peaks observed in the photoelectron
spectrum. The referenced spectroscopic data are obtained
from Ref. 43.
It is apparent that the newly established EA value
(0.116 ± 0.013 eV) of Eu here
differs considerably from Davis and Thompson’s result
(1.053 ± 0.025 eV)15, but is in outstanding agreement with recently reported
theoretical predictions1820. We believe our EA
(0.116 ± 0.013 eV) obtained here
is more reliable since, based on the above discussions, the present measurement
is not only consistent with the high-level calculations1820 but
also in excellent agreement with the well-established neutral electronic
structures of Eu43. It was suggested that the significant
overestimation in previous measurement15 may originate from
following reasons: (a) the transition is likely from the anionic ground state to
the excited state of neutral, or (b) from long-lived metastable states of anion
to the excited state of Eu18. The first possibility can be easily
ruled out since no peaks were found around 1 eV in our PES. Thus,
one possible explanation for the overestimation in previous measurement is that
the produced anions were not in their ground state, and the observed peaks may
originate from transitions between the anionic metastable states and the excited
states of Eu. To verify this suggestion, more accurate theoretical methods are
urgently desired to quantitatively locate the relevant excited states of
Eu−. Additionally, another possibility is that
the photodetached species were other species rather than the
Eu− ion, e.g.
EuH−. To testify this assumption, photodetachment
experiments on EuH− need to be done and compared with
previous spectrum.Having presented the novel experimental strategy for increasing the yield of the
lanthanide anions and determined the EA of Eu, which are the focus of this
study, we now turn our attention to other spectroscopic features observed in the
photoelectron spectrum (Fig. 2). As shown in Fig. 2, a weaker band, marked as X’, appears at
lower binding energy with respect to peak X. The binding energy for this
transition is 0.039 eV, which is very close to the energy level of
one excited state (9P5) of
Eu− (0.041 eV) calculated by
O’Malley and Beck18. Thus, this peak most likely
originates from this excited state of the anion to the ground state of neutral,
establishing the splitting between the ground and excited state of
Eu− to be 0.077 eV. To rationalize
this identification, one may expect to find transitions coming from this anionic
excited state to the excited neutral states in higher binding energy region of
the spectrum. Therefore, observation of pair of peaks separated by about
0.077 eV would then be a strong indication of this anionic excited
state. After carefully inspecting the spectrum (Fig. 4),
six additional peaks, marked as A', A1',
A2', C', C2', and
B2', are found to have such energy interval with
respect to their paired peaks originating from the anionic ground state, which
are shown in Table 2. This finding provides direct
experimental evidence about the existence of this excited state of
Eu−. In addition, there seem to be several other
peaks at higher energy side (up to 0.4 eV) to peak X, which probably
come from the transitions between the excited states of
Eu− and the excited states of the neutral. The
precise assignment of these peaks needs further high-level calculations
considering the excited states to make, which is beyond the scope of this study
and our ability.
Table 2
Observed transitions originating from one excited state of
Eu−, in eV.
Band
Binding energy (eV)
Paired peak
Binding energy (eV)
ΔE (eV)
A'
1.650
A
1.725
0.075
A1'
1.672
A1
1.746
0.074
A2'
1.699
A2
1.773
0.074
C'
1.920
C
1.995
0.075
C2'
1.950
C2
2.024
0.074
B2'
1.967
B2
2.044
0.077
Experimental binding energies (BEs) have an uncertainty of
± 0.013 eV. ΔE represent
the energy differences between peaks A' and A,
A1' and A1,
A2' and A2 and so
on.
Discussion
The present study provides the first precise photoelectron imaging spectroscopy of
the Eu anion, revealing the character of the electron-atom interaction in
Eu−. By introducing a new experimental strategy,
Eu− with detectable intensity was produced, and the
EA was directly measured to be
0.116 ± 0.013 eV, which is in
outstanding agreement with the recent high-level theoretical results1820. Such a low EA reveals that the additional electron is attached
weakly to Eu neutral, resolving the longstanding and significant discrepancy between
previous experiment and theory. Moreover, the validation and accuracy of the EA is
further verified by comparing the fine structures observed here with the
well-established spectroscopic data for neutral. The present experimental results
also verify the power of recently advanced theoretical methods in predicting the
electronic properties of Eu−. For some of other
lanthanides, however, significant discrepancy still exists in different theoretical
methods with the deviation by factors varying from about 5 to 81819. Thus, to obtain a complete and correct understanding about the lanthanide
chemistry, further experiments regarding other lanthanides are urgently desired,
which can provide a benchmark to test the accuracy of theory. In fact, we have
already acquired the images of several other lanthanides, which will be discussed in
other individual works. We believe our experimental findings highlighted here will
stimulate further interests and efforts in exploring the fundamental properties of
these challenging heavy elements in the periodic table.
Methods
The Eu− was produced in our laser vaporization source,
where a 532 nm second harmonic Nd:YAG laser was used to ablate a
1/4″ Eu “rod” which was made by wrapping an Eu
foil around an Al rod. Helium seeded with 5% N2O (typically 50 psi) was
used as a carrier gas, and the generated Eu− was mass
analyzed using a time-of-flight mass spectrometer44. Another second
harmonic of a Nd:YAG laser (532 nm) was used for photodetaching excess
electrons from 151Eu−. Photoelectrons were
accelerated toward position sensitive detectors where the resulting two-dimensional
velocity distribution was recorded with a charge-coupled device camera. Then, the
three-dimensional distribution was reconstructed from the photoelectron image using
the BASEX45 and pBASEX46 programs, which yielded
similar results. The photoelectron spectrum was calibrated against the known
Bi− binding energy spectrum47.
Additional Information
How to cite this article: Cheng, S.-B. and Castleman, A.W., Jr. Direct
experimental observation of weakly-bound character of the attached electron in
europium anion. Sci. Rep. 5, 12414; doi: 10.1038/srep12414 (2015).
Authors: Michael N R Ashfold; N Hendrik Nahler; Andrew J Orr-Ewing; Olivier P J Vieuxmaire; Rachel L Toomes; Theofanis N Kitsopoulos; Ivan Anton Garcia; Dmitri A Chestakov; Shiou-Min Wu; David H Parker Journal: Phys Chem Chem Phys Date: 2005-10-18 Impact factor: 3.676
Authors: Ondřej Tkáč; Ashim Kumar Saha; Jolijn Onvlee; Chung-Hsin Yang; Gautam Sarma; Chandan Kumar Bishwakarma; Sebastiaan Y T van de Meerakker; Ad van der Avoird; David H Parker; Andrew J Orr-Ewing Journal: Phys Chem Chem Phys Date: 2014-01-14 Impact factor: 3.676
Authors: Andrej Grubisic; Haopeng Wang; Xiang Li; Yeon-Jae Ko; F Sanem Kocak; Mark R Pederson; Kit H Bowen; Bryan W Eichhorn Journal: Proc Natl Acad Sci U S A Date: 2011-08-26 Impact factor: 11.205