Carlos
Cabezas
*a,
Jesús
Janeiro
b,
Amanda L.
Steber
c,
Dolores
Pérez
b,
Celina
Bermúdez
c,
Enrique
Guitián
b,
Alberto
Lesarri
c and
José
Cernicharo
a
aDepartamento de Astrofísica Molecular, Instituto de Física Fundamental (IFF–CSIC), C/Serrano 121, Madrid 28006, Spain. E-mail: carlos.cabezas@csic.es
bCentro Singular de Investigación en Química Biolóxica e Materiais Moleculares (CiQUS) and Departamento de Química Orgánica, Universidade de Santiago de Compostela, Santiago de Compostela 15782, Spain
cDepartamento de Química Física y Química Inorgánica, Facultad de Ciencias-I.U. CINQUIMA, Universidad de Valladolid, Valladolid E-47011, Spain
First published on 19th August 2024
The recent interstellar detection of individual polycyclic aromatic hydrocarbons (PAHs) in the dense molecular cloud TMC-1 brings interest in related species that could be present in this astronomical environment. These detections, that include pure PAHs and their cyano-derivative counterparts, were performed through the interplay between laboratory rotational spectroscopy experiments and radioastronomical observations. Here, we present the laboratory rotational spectroscopic study of the five cyano-derivatives of the PAH fluorene (C13H10). The samples for these five species were synthetized in the laboratory and then characterized in the gas phase using a chirped-pulse Fourier-transform microwave spectrometer operating between 2 and 12 GHz. The analysis of the rotational spectra allowed us to derive accurate molecular constants for the five isomers used to obtain frequency predictions that enable astronomical searches of these molecules in the interstellar medium.
The interplay of laboratory spectroscopy and radio astronomy provides the most powerful means of identifying molecular species in the ISM. Rotational transitions for molecular species can be measured with remarkably high precision (>106:1) across an extremely wide frequency range (cm- to sub-mm wave). As a consequence, the rotational transitions detected by radio astronomy represent a unique molecular fingerprint and the basis for an unambiguous identification. The discovery of about 90% of the more than 320 molecules detected in space has been achieved via their rotational emission using radio astronomy.4–6 However, PAHs are often highly symmetric and therefore possess no permanent electric dipole moment or, when they are not symmetric, they are weakly polar at best, making PAHs notoriously difficult, if not impossible, to detect by this approach. In fact, the first observation of a pure (i.e., containing only carbon and hydrogen) PAH, indene (C9H8), in the ISM was achieved very recently, thanks to the high level of sensitivity of the line surveys QUIJOTE7 (Q-band Ultrasensitive Inspection Journey to the Obscure TMC-1 Environment) and GOTHAM8 (GBT Observations of TMC-1: Hunting for Aromatic Molecules) obtained with the Yebes 40m telescope and the Green Bank Telescope. In 2021, indene was discovered in the cold pre-stellar core Taurus molecular cloud (TMC-1).9,10 Indene is composed of a six- and a five-membered ring with a small but appreciable (∼0.6 D) dipole moment.11 Its relatively high abundance in TMC-19,10 helped the observation and identification of its rotational transitions in the ISM. Besides indene, the cyano-derivatives of some PAHs, like indene itself (C9H7CN) and naphthalene (C10H7CN), were also found in TMC-1,12,13 together with other cyano- and ethynyl-derivatives of organic rings9,14–18 like cyclopropenylidene, cyclopentadiene and benzene.
Replacing even a single hydrogen on a pure PAH with a polar functional group, such as the nitrile (or cyano) unit, –CN, yields a surrogate with a largely increased dipole moment with respect to the PAH counterpart, making it much easier to detect. In the case of indene, for example, the dipole moment when passing from C9H8 to C9H7CN increases from 0.6 to 4.75 D.13 It is true that the cyano-derivatives are less abundant than the unsubstituted counterparts, as estimates based on the observed abundances in TMC-1 indicate a quotient C9H8/C9H7CN = ∼20–40.13 However, the lower abundance of this species is compensated, in terms of the intensity of the rotational transitions, thanks to the much larger value of the dipole moment, in the case of C9H7CN by a factor of ∼63. In addition, it has been suggested that the cyano-derivatives of PAHs can be used as an excellent observational proxy for their hydrocarbon counterparts for constraining models. All these points render the strategy of searching for cyano derivatives of PAHs extremely tantalizing.
In this paper, we present the pure rotational spectra of the five monocyano-derivatives (Fig. 1) of the PAH fluorene (C13H10), also known as 9H-fluorene. The molecule of fluorene has a total of five non-equivalent hydrogen atoms which might be substituted by a cyano group. While the parent fluorene has been characterized by rotational spectroscopy, in spite of its weak dipole moment, ∼0.53 D,19 to the best of our knowledge, there is not any spectroscopy information available in the literature on its cyano-derivatives. To carry out the spectroscopic study of the five isomers of cyanofluorene (CNF hereafter), we have synthesized the samples in the laboratory. Rotational spectroscopy measurements were performed using high resolution chirped-pulse Fourier transform microwave spectroscopy in the 2–12 GHz frequency region. From these measurements, we derived precise spectroscopic constants that will be the basis for further astronomical searches of these molecular species in the ISM.
1-CNF | 2-CNF | 3-CNF | 4-CNF | 9-CNF | |
---|---|---|---|---|---|
a Relative energy to that of the 2-CNF isomer. | |||||
A/MHz | 1318.2 | 2158.5 | 1553.1 | 1037.8 | 967.7 |
B/MHz | 438.6 | 331.6 | 372.4 | 557.2 | 571.1 |
C/MHz | 329.8 | 288.0 | 300.9 | 363.3 | 373.1 |
Δ J/kHz | 0.0048 | 0.0012 | 0.0025 | 0.0180 | 0.0394 |
Δ JK/kHz | −0.0194 | 0.0032 | 0.0049 | 0.0038 | −0.0457 |
Δ K/kHz | 0.1063 | 0.0965 | 0.1338 | −0.0200 | 0.0103 |
δ J/kHz | 0.0016 | −0.0002 | 0.0007 | 0.0055 | 0.0154 |
δ K/kHz | 0.0126 | −0.0077 | 0.0164 | 0.0244 | 0.0101 |
χ aa/MHz | 0.076 | −4.527 | −2.582 | 2.507 | 2.442 |
χ bb/MHz | −2.228 | 2.458 | 0.475 | −4.623 | −2.753 |
|μa|/D | 3.2 | 5.4 | 4.8 | 0.4 | 0.0 |
|μb|/D | 2.9 | 0.1 | 2.9 | 4.8 | 3.6 |
|μc|/D | 0.0 | 0.0 | 0.0 | 0.0 | 1.9 |
ΔEa/cm−1 | 65 | 0 | 145 | 180 | 2138 |
A molecular transient emission, of 40 μs in the case of 2–8 GHz and 20 μs in the case of the 8–12 GHz measurements, was then detected through a second horn and amplified by a low noise MW amplifier. A total of 700k FIDs from 2 to 8 GHz and 200k FIDs per measurement between 8 and 12 GHz were co-added on a digital oscilloscope (25 GS per s and 50 GS per s, respectively) and a Fourier transformation finally yielded the resonance frequencies of the rotational transitions. The use of a Kaiser–Bessel apodization window resulted in linewidths of ca. 100 kHz. The accuracy of the frequency measurements is better than 25 kHz. All frequency components are referenced to a Rb standard.
As can be seen from Table 1, the five CNF isomers show at least one large electric dipole moment component which allows for a straightforward detection through their rotational spectra. Isomers 1-CNF, 2-CNF, 3-CNF and 4-CNF have a planar heavy-atom skeleton, with only the methylene group hydrogen atoms as the sole out-of-plane mass contributors. This manifests in the negative inertial defect values around 3.5 amu Å2 (Table 2), typical for methylene groups. This fact causes the absence of c-type rotational transitions for any of the four species because the electric dipole moment component along the c axis must be zero for a planar skeleton. In contrast, the isomer 9-CNF shows a much more pronounced negative inertial defect value due to the substitution of one of the methylene hydrogen atoms by the cyano group; see Fig. 1. This induces a strong electric dipole moment component along the c axis and the lack, in this case, of a μa dipole moment component.
1-CNF | 2-CNF | 3-CNF | 4-CNF | 9-CNF | |
---|---|---|---|---|---|
a Values in parentheses denote 1σ errors, applied to the last digit. b Inertial defect, Δ = Ic − Ib − Ia. c Number of rotational transitions included in the fit. d Number of hyperfine components included in the fit. e rms error of the fit. | |||||
A/MHz | 1303.70307(92)a | 2140.700(87) | 1541.8327(10) | 1031.74077(27) | 968.61817(48) |
B/MHz | 438.89904(23) | 330.62387(37) | 371.40436(23) | 557.09884(28) | 568.80591(40) |
C/MHz | 329.09001(14) | 286.97931(34) | 299.92528(17) | 362.66718(23) | 373.01098(40) |
Δ J/kHz | — | — | — | 0.0206(18) | 0.0359(14) |
Δ K/kHz | — | — | — | −0.0232(21) | — |
χ aa/MHz | 0.213(72) | — | −2.280(39) | 2.218(14) | 2.235(45) |
χ bb/MHz | −2.111(21) | — | 0.379(24) | −4.129(11) | −2.338(20) |
Δb/amu Å2 | −3.418 | −3.595 | −3.496 | −3.469 | −55.191 |
N | 55 | 28 | 40 | 89 | 62 |
N hfc | 155 | — | 108 | 265 | 181 |
J max | 11 | 13 | 12 | 16 | 15 |
K amax | 4 | 4 | 4 | 6 | 5 |
μ a | Observed | Observed | Observed | Not observed | Not observed |
μ b | Observed | Not observed | Observed | Observed | Observed |
μ c | Not observed | Not observed | Not observed | Not observed | Observed |
σ /kHz | 11.9 | 10.0 | 12.8 | 15.1 | 17.6 |
Table 3 shows the results that we obtained for the rotational and centrifugal distortion constants of fluorene at the B3LYP/cc-pVTZ level of calculation, as well as the experimental values for these constants determined by Thorwirth et al.19 To facilitate the assignment process of the rotational transitions of the CNF isomers, the theoretical values for the rotational constants of each CNF isomer were scaled using the experimental/theoretical ratio obtained from the fluorene molecule. Using these corrected constants, we identified the five CNF isomers in our broadband spectrum. Fitting of experimental data was done with the SPFIT program29 utilizing Watson's A-reduced asymmetric rotor Hamiltonian in the Ir (isomers 1-, 2-, 3- and 9-CNF) and IIIl (isomer 4-CNF) representation.30 The presence of a 14N-nitrogen nucleus, which has a nonzero nuclear spin (I = 1), in the CNF isomers causes each rotational transition to be split into several hyperfine components because of the nuclear quadrupole coupling effects; see Fig. 2. This effect, due to the interaction at the nitrogen nucleus of the quadrupole moment with the electric field gradient created by the rest of the molecular charges, causes the coupling of the nuclear spin moment to the overall rotational momentum.31 To account for such hyperfine effects, the employed rotational Hamiltonian has the following form: H = HR + HQ, where HR contains rotational and centrifugal distortion parameters, while HQ describes the quadrupole coupling terms. The coupling scheme is F = J + I (N), where I (N) = 1. The energy levels involved in each transition are labelled with the quantum numbers J, Ka, Kc and F.
The most stable CNF isomer is 2-CNF. For this species, we observed a total of 28 rotational transitions, all of them being a-type ones since the dipole moment components along the a and b axes are 5.4 and 0.1 D, respectively. In spite of the fact that all rotational transitions for CNF isomers are split, the hyperfine structure for the a-type transitions of 2-CNF could not be resolved at the spectral resolution of our broadband spectrometer. For this reason, we could only determine the rotational constants A, B and C for the 2-CNF isomer (Table 2), which were obtained from a fit where the centrifugal distortion constant values were kept fixed to those derived from quantum chemical calculations. The isomers 1-CNF and 3-CNF are the two next stable species and both have appreciable a- and b-type dipole moment components. The observed rotational transitions for 1-CNF and 3-CNF isomers encompass a total of 155 and 108 hyperfine components which, unlike the case of the isomer 2-CNF, were well resolved in both a- and b-type transitions. In this manner, the rotational constants as well as the nuclear quadrupole coupling constants, χaa and χbb, could be derived from the fits for 1-CNF and 3-CNF isomers. The values are shown in Table 2. In the case of the 4-CNF isomer, however, there is a very large dipole moment component along the b axis and a tiny μa component. Its rotational transitions are the most intense ones and dominate the spectrum shown in Fig. 2. A total of 265 hyperfine components from 89 b-type rotational transitions were measured for the 4-CNF isomer (see an example in Fig. 2) and fitted, using the IIIl representation, to obtain the rotational, the ΔJ and ΔK quartic centrifugal distortion constants and nuclear quadrupole coupling constants, which are shown in Table 2. Finally for the 9-CNF isomer, the least stable isomer, we were able to detect a total of 181 hyperfine components including b- and c-type ones. The experimentally derived constants for the 9-CNF isomer include not only the rotational and diagonal nuclear quadrupole coupling constants, but also the quartic centrifugal distortion constant ΔJ. The list of measured lines and the results from the fits for the five isomers are given in the ESI.†
The experimental (ground-state) rotational constants obtained in this work for the CNF isomers are in good agreement with those (equilibrium) derived from our DFT calculations at the B3LYP/cc-pVTZ level of theory. The relative errors range from 0.02 to 0.4% for the B and C rotational constants, while they are larger, between 0.2 and 1.1%, for the A constants. In the same manner, the experimental values for the nuclear quadrupole coupling constants, χaa and χbb, are in accordance with those obtained theoretically, as can be seen from Tables 1 and 2. Regarding the centrifugal distortion constants, those determined for 4-CNF and 9-CNF isomers are in agreement with the values obtained from our calculations.
The data from Table 3 indicate that the B3LYP/cc-pVTZ level of theory provides reasonable values for the quartic centrifugal distortion constants for fluorene, probably due to its molecular rigidity. Hence, a similar level of accuracy can be expected for the predicted values of the centrifugal constants of other rigid molecules like the CNF isomers. For this reason, as mentioned above, in the fitting procedure for the five isomers we included the values for the five quartic centrifugal distortion constants, which were kept fixed to the values obtained from our DFT calculations. This approach was found to have little impact on the fitted values of the rotational constants that change only within their uncertainties when distortion constants are not included. However, it should enable a more reliable extrapolation of transition frequencies into higher frequency regions, where the astronomical searches will be done.
The most promising astronomical source where the CNF isomers could be detected is the cold dark cloud TMC-1, given that other large organic rings have been detected there recently. Assuming a rotational temperature of 9 K, which is the gas kinetic temperature in TMC-1,32 the most intense rotational transitions for the CNF isomers are expected to be in the microwave K-band, between 18 and 27 GHz, as can be seen from Fig. 3. The frequency predictions for the five isomers were derived from the rotational constants from Table 2, using the SPCAT program,29 which was also employed to calculate the partition functions, at a maximum value of J = 200 and without hyperfine constants, shown in Table 4. Even though the frequency range of our laboratory observations is not very wide, the frequency extrapolation of our predictions may be feasible, up to 27 GHz, due to the accuracy of the obtained molecular constants and to the particular rigidity shown by these molecules, which causes several K-components of a given J rotational level to collapse to a single line. Transition frequencies over this frequency range should be viewed with caution, even those with Ka values of 0 and 1. This, combined with fairly large dipole moment components, leads to a comparably strong rotational spectrum and makes CNF isomers plausible targets for astronomical searches in the K-band frequency region.
Temperature/K | 1-CNF | 2-CNF | 3-CNF | 4-CNF | 9-CNF |
---|---|---|---|---|---|
300.00 | 1808258.8 | 1655769.1 | 1835089.3 | 1770180.7 | 1788845.9 |
225.00 | 1249796.5 | 1165895.1 | 1284122.6 | 1207915.8 | 1219049.0 |
150.00 | 706952.7 | 673180.9 | 735694.9 | 675241.8 | 680468.2 |
75.00 | 252361.6 | 242893.8 | 264210.9 | 239945.4 | 241659.9 |
37.50 | 89232.3 | 85913.0 | 93433.8 | 84823.9 | 85429.6 |
18.75 | 31551.7 | 30378.1 | 33036.7 | 29991.0 | 30205.3 |
9.00 | 10495.7 | 10104.9 | 10989.2 | 9976.4 | 10047.7 |
Footnote |
† Electronic supplementary information (ESI) available: Synthesis and characterization data, linelists, molecular parameters and fit result files of the five CNF species. See DOI: https://doi.org/10.1039/d4cp01924e |
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