Theoretical study on geometry and spectroscopic properties of 1,1′-binaphthyl in the electronic ground and first excited singlet states

Equilibrium geometries for the electronic ground and first excited singlet states of 1,1'-binaphthyl have been calculated by minimization of the total energy with respect to all internal coordinates. Using these results, an interpretation of the fluorescence S₁→ S₀ and absorption spectra S_m ← S₀ and S_n ← S₁ in rigid and fluid solutions is given.For the first time the equilibrium geometry of the first excited singlet state of 1, 1′-binaphthyl has been calculated. On excitation to the S₁ state the dihedral angle θ between the two naphthalene moieties is de- creased from 61 ° to 41 °. A detailed survey of CH bond lengths in the S₀ and S₁ states has been given. This result should be of particular importance for the theoretical treatment of radiationless transitions.Using equilibrium geometries for the S₀ and S₁ states a satisfactory interpretation of the S_m ← S₀ and S_n ← S₁ absorption spectra as well as of the fluorescence spectra in fluid and rigid solutions can be given. Concerning the S_n ← S₁ absorption spectrum in fluid solution, the calculations predict a strong absorption (A ← B transition) in the still uninvestigated region of energies lower than 11000 cm^?1.From the results of this paper and of other calculations it can be concluded that the Warshel-Karplus method yields reliable equilibrium geometries for electronic ground and excited states of unsaturated hydrocarbons [22,23].     

Delayed Fluorescence from Upper Excited Singlet States Sn (n > 1) of the Aromatic Hydrocarbons 1,2-benzanthracene,fluoranthene, pyrene,and chrysene in methylcyclohexane

Delayed fluorescence (DF.) spectra of 1,2-benzanthracene, fluoranthene, pyrene, and chrysene in methylcyclohexane were measured at ?80° up to the wavenumber corresponding to the energy of two triplets. With all four compounds a weak DF. S_n → S₀ from the highest state S_n accessible by triplet-triplet annihilation (TTA) was found. Lifetimes of S_n calculated (a) from the ratio of the DF's S_n → S₀ and S₁ → S₀ and (b) from the difference in line-width of the 0,0-transitions S_n,0 ← S_0,0 and S_1,0 ← S_0,0 agree reasonably well. This indicates that population of the highest accessible excited singlet state is the dominating primary process in the excited singlet channel of TTA. There is no evidence for excimer formation being the first step in TTA. DF. spectra extend up to the energy of two triplets. With pyrene the intensity distribution in the hot-band region of the DF. S₂ → S₀ suggests that in TTA the same vibrational selection rules are valid as in one-photon absorption S₂ ← S₀ and that vibrational relaxation within the S₂ manifold is slow compared with internal conversion S₂ ? S₁. The experimental technique is described in detail and experimental difficulties arising from impurities and photoproduct formation are discussed.     

Two-photon absorption study of Zn(II)tetraphenylporphin: Role of a higher excited singlet state of gerade symmetry

The S₂ state fluorescence of Zn(II)tetraphenylporphin has been studied by using two-photon absorption and optical—optical double-resonance techniques. The main process to populate the S₂ state was found to be a stepwise two-photon absorption to the S_nstate through the S₁ state. The large absorption cross section of the S_n ← S₁ transition (6.8 × 10^?16 cm² molecule^?1) at 540 nm suggests that there exists a higher excited singlet state of gerade parity.     

Population hole-burning using a triplet reservoir: S1 ← S0 transition of zinc porphin in n-octane

Optical hole-burning has been observed in the S₁ ← S₀ absorption of zinc porphin in n-octane by selective depletion of the ground state population and storage in the mestastable triplet state. In this way the homogeneous linewidths of S₁ ← S₀ for molecules in A and B sites of n-octane were measured between 1.6 and 4.5 K. Thermally induced dephasing was observed for B-site molecules with an activation energy of 14 cm^?, equal to the separation between the two electronic components of S₁.     

Resonant two-photon ionization spectra of o,p, m-xylene...Ar n (n = 1, 2)

The resonant two-photon ionization technique (R2PI) is used to study jet-cooled van der Waals (vdW) complexes o, p, m-xylene...Ar _n (n = 1, 2) through the S ₁ ← S ₀ transition around the origin band. We have tentatively assigned the main spectral features of these vdW complexes. The transitions of these complexes are red-shifted from those of the monomers. The influence of the substituent positions on the vdW vibrations is investigated.     

Excited-state absorption spectroscopy and state ordering in polyenes: 1,3,5,7-Octatetraene

The S_n ← S₁ spectrum of 1,3,5,7-octatetraene has been obtained in cyclohexane. Calculations predict different S_n ← S₁ spectra for the lowest excited ¹Ag^? or ¹B_u⁺ states. The experimental S_n ← S₁ spectrum is consistent with the 2 ¹A_g^? as the lowest excited state. Extension of this technique to smaller polyenes is discussed.     

Photoelectron spectroscopy of transition metal-sulfur cluster anions

Metal (M)-sulfur cluster anions (M = Ag, Fe and Mn) have been studied using photoelectron spectroscopy (PES) with a magnetic-bottle type time-of-flight electron spectrometer. The M_nS _m ^? cluster anions were formed in a laser vaporization cluster source. For Ag-S, the largest coordination number of Ag atoms (n _max) is generally expressed as n _max =2m ? 1 in each series of the number of S atoms (m). For Fe?S and Mn?S, it was found that the stable cluster ions are the ones with compositions of n=m and n=m±1. Their electron affinities were measured from the onset of the PES spectrum. For Ag?S, the EAs of Ag₁S_m are small and around 1 eV, whereas those of Ag_nS_m (_n ≥ 2) become large above 2 eV. The features in the mass distribution and PES suggest that Ag₂S unit is preferentially formed with increasing the number of Ag atoms. For Fe?S and Mn?S, the PES spectra of Fe_nS _m ^? /Mn_nS _m ^? show a unique similarity at n ≥ m, indicating that the Fe/Mn atom addition to Fe_nS _n ^? /Mn_nS _n ^? has little effect on the electronic property of Fe_nS_n/Mn_nS_n. The PES spectra imply that the Fe_nS_n cluster is the structural framework of these clusters, as similarly as the determined structure of the Fe_nS_n cluster in nitrogenase enzyme.     

Observation of transient resonance raman spectra of the S1 state of trans-stilbene

Transient resonance Raman spectra of trans-stilbene in n-hexane have been obtained using two pulsed lasers at 266 and 585 nm. The former was used to pump the molecule to the first excited singlet state (S₁) and the latter to proble spontaneous Raman scattering in resonance with the S_n ← S₁ electronic transition. The dependence of the pump and probe laser power, the temporal behavior, and the excitation profile of the spectra clearly indicate that they are due to the S₁ state of trans-stilbene.     

Zeeman effect of the S1 ← S0 transition of the two tautomeric forms of chlorin: a study by photochemical hole burning in an n-hexane host

Zeeman experiments are reported on the S₁ ← S₀ O-O transitions of chlorin (7,8-dihydroporphin) and its photoisomer in an n-hexane crystal by photochemical hole burning at 4.2 K. The holes shift with a quadratic field dependence of -39.0 MHz/T² (chlorin) and ?245.3 MHz/T² (photoisomer). For chlorin A = ¦<S₁¦L_z¦S₂ > ¦=4.5. Single-site absorption and fluo spectra are reported. PPP calculations were performed.     

The lowest triplet state of tetramethyl-1,3-cyclobutanedithione. II. Calculation of spin-orbit coupling

A calculation of the spin-orbit coupling in the lowest excited triplet state of tetramethyl-1,3-cyclobutanedithione (TMCBDT) has been performed. The results show the following. (1) In the TMCBDT crystal the ground singlet-to-lowest triplet transition moment is predicted to be exclusively ? c polarized, as observed. (2) The assignment of the lowest triplet state should be ³A_u as found earlier for the oxygen analog. TMCBD. (3) The two largest contributions (～ 60%) to the isolated-molecule T₁ → S₀ transition moment come from the two triplet-triplet transitions.

and

, both of which are polarized along the CS bonds. (4) The total contribution to the transition moment parallel to the CS bonds is 76% from the T_l ← T₁ transitions and 24% from the S_γ ← S₀ transitions. And, finally, (5) the calculated oscillator strength of 2 × 10^?4 for the largest T₁ ← S₀ component (along y) falls within the range of typical spin-allowed, singlet-singlet n-⁼ transitions.     

List of subject

We report the high resolution emission (S₁ → S₀, T₁ → S₀) and laser single site singlet excitation (S₁ ← S₀) spectra for the various insertion sites of coronene in n-heptane cooled to 1.5 K. The observation of site splitting of doubly degenerate vibrations and weak electric dipole forbidden 0, 0 bands in the S₁ → S₀ and T₁ → S₀ spectra indicates that the ground state, the first excited singlet and lowest triplet states are all distorted. In these spectra, the intensity distribution of the various sites in the 0, 0 bands suggests that the distortion is different from site to site but similar in S₀, S₁ and T₁. Identical ordering of the sites in S₁ S₀ and S₁ S₀ spectra as well as the observation of weak shifts in the vibrational frequencies in the two states implies the absence of strong pseudo Jahn-Teller forces in the first excited singlet state. We propose, further, that this is also true for the triplet state. This conclusion is supported by the similarity in zero-field splitting parameters of coronene and deuterated coronene. Taken together, these results indicate strongly that the distortion of coronene in n-heptane is primarily crystal field induced and is not greatly changed upon excitation of the molecule to its lowest excited states.     

Homogeneous linewidth and optical dephasing of the S1 ← So transition of magnesium porphin in an n-octane crystal: A study by transient and photochemical hole-burning

Transient and photochemical hole-burning is used to determine the homogeneous linewidths of the S_x ← S_o and S_y ← So transitions of a magnesium porphin-pyridine complex in four sites of n-octane (T = 1.2–4.2 K). Thermally induced dephasing of S_x ← S_o is consistent with “exchange” to low-frequency local modes identified in the spectra. The relaxation time of S_y varies front ≈ to 4 ps from site to site.     

The two-photon spectrum of toluene vapor

The two-photon excitation spectrum of toluene-h₈ and toluene-d₈ vapor has been recorded under low resolution (1 cm^?1) in the region of the S₁ ← S₀ (¹B₂ ← ¹A₁) transition. Although the electronic transition is formally allowed in two-photon spectroscopy, a large fraction of intensity exists in a subsystem induced by the out-of-phase CC stretching vibration ν₁₄ (b₂). Band contours associated with each of the two assigned tensor components of the transition are identified and partially analyzed by comparison with the two-photon contours of fluorobenzene.     

Photolysis of dimethylnitrosamine in the gas phase

Photodecomposition of dimethylnitrosamine in the gas phase ( ～ 1 Torr) has been investigated following irradiation into the S₁ (nπ*) ← S₀ (363.5 nm) and S₂ (ππ*) ← S₀ (248.1 nm) transitions at room temperature. With a quantum yield of unity, excitation into the S₁ state yields the fragments (CH₃)₂N? and NO which then recombine leaving no photoproducts. The addition of O₂ results in only one photoproduct, (CH₃)₂NNO₂. Irradiating into the S₂ state, the products CH₂?N? CH₃, (CH₂?N? CH₃)₃, CH₂?NOH, N₂O, NO, H₂, and N₂ were identified by capillary gas chromatography mass spectrometry. In the presence of N₂ as a buffer gas the photoproducts are only CH₂?N? CH₃, (CH₂?N? CH₃)₃, N₂O, and H₂. For both excitation conditions a mechanism is proposed involving cleavage of the N, N-bond as the main primary photolytic process.     

Spectroscopy and dynamics of 9,10-dichloroanthracene-Arn van der Waals complexes

In this paper we report on the measurements of the absorption spectra of large van der Waals complexes in planar supersonic jets. The absorption spectra and the fluorescence excitation spectra of the complexes of 9,10-dichloroanthracene (DCA) with Ar atoms are reported for the S₀ → S₁(0) vibrationless transition of DCA·Ar_n (n = 1?6), and from the S₀ → S₁ (1390 cm^?1) transition of DCA·Ar_n (n = 1?4). Information on the structure of these complexes was inferred from the additivity of the spectral shifts per added rare-gas atom (ASSRA) for DCA·AR_n (n = 1.2) and from deviations from the ASSRA for CDA-Ar_n (n = 3?6). The vibrational predissociation (VP) dynamics of DCA-Ar_n (n = 1?3) complexes was interrogated by fluorescence quantum yield, Y, measurements. The value of the S₁ (1390 cm^?1) state of DCA·Ar_n (n = 1?3) exhibits a dramatic enhancement relative to that of DCA. Utilizing the dependence of Y on the excess vibrational energy of bare DCA, we were able to estimate the internal energy of the fragments resulting from VP of DCA·Ar_n of DCA·Ar_n (n = 1?3). An upper limit of ? 100 ps was estimated for the VP (and/or vibrational energy redistribution) lifetime from the S₁ (1390 cm^?1) state of DCA·Ar₃.     

The polarized electronic spectra and electric field spectra of benzo-diazoles. II. 2,1,3-benzothiadiazole

The S₁ ← S₀ absorption spectra of 2,1,3-benzothiadiazole (BTD) have been measured at 4.2 K in four different host crystals: naphthalene, durene, p-dichlorobenzene (DCB) and p-dibromobenzene. Detailed vibrational analyses are given for BTD imbedded in napthalene and DCB. The polarization measurements show that the S₁ state has B₂ symmetry, like its selenium analogue (BSD). The transition is dominated by a single totally symmetric mode - 484 cm^?1. The Herzberg-Teller coupling contributes only a very small fraction of the total intensity. The Stark measurements of a DCB sample containing both BTD and BSD enabled us to compare the charge distribution of BTD and BSD in the state S₁. The Stark splittings of BTD are 17% greater than the splittings of BSD. Reorganization of the σ-core during the excitation is used to explain the difference. The drastic change in dipole moment upon excitation implies that the S₁←S₀ transitions of BTD and BSD are not localized in the six-membered ring as suggested by previous workers. Weak phosphorescence of BTD in napthalene and DCB and singlet-triplet absorption spectrum of neat BTD have been observed. The heavy atom effect of spin-orbit coupling is to explain the ST absorption intensity of BTD and BSD.     

Influence of the host on vibronic relaxation: a study of free-base porphin in a series of n-alkanes by photochemical hole-burning

Photochemical hole-burning is used to determine the relaxation times of vibronic bands of the S₁ ← S₀ transition to free-base porphin in different substitutional sites of n-hexane, n-heptane, n-octane and n-decane at 1.6 K. The vibronic relaxation depends strongly on site and host. A correlation between the n-alkane chain length and the vibronic relaxation time is observed.     

Effect of spin-orbit coupling in para-dihalogenobenzenes on the environment-induced frequency changes in their S1 ← S0 spectra

The consequences of spin-orbit coupling in p-dihalogenobenzenes for solvent-induced shifts or S₁ ← S₀ spectral transitions, and for changes of S₁-state vibrational frequencies compared with the S₀ state, are assigned to mixing low-energy triplet states into the singlet-state system.     

Determinable partitional modelling of CayleyanSU(m \leqslant n/2) \times S_n \downarrow \mathcal{G}NMRspin symmetries of isotopomeric cage-clusters: SpecificS n≥12⊃...⊃D 3 group chains,forS n -modules in high-n weak-branching limit

The use over certain modestly branched (λ ?n) partitional models of Young'sS _n -module decomposition algorithm in the high-n limit is considered for SU(m) x $SU(m) \times S_n ( \downarrow \mathcal{G})$ nuclear spin algebras associated with both NMR and ro-vibrational (R-V) aspects of specific cluster isotopomers. This approach allows additional dual-group projective mapping over simple Hilbert spaces to be derived from the natural embedding of higher finite groups in specificS _n groups, for either the original simply-reducible (SR) SU(2)-, or various related higher non-SR SU(m) xS _n , forms. The work arises from earlier interests in the NMR spin symmetry of the [¹¹B¹H] ₁₂ ^2? borohydride anions and the nature of analogous ro-vibrational (R-V) spin statistical problems for highern ≥ 12-fold clusters. Here, the role of the scalar invariants is shown to be critical in determining the spin algebras of isotopomeric clusters within Cayley's theorem for some particular depth of SU(m) branching in the SU(m) xS _n dual-group algebra. Certain additional quasi-geometric models for the full λ (≥ λ_SA (self-associate) dominant-sector set of (λ ?n) partitions-of-n are discussed, in the context of specific determinacy of natural $S_n \supset \mathcal{G}$ group embeddings at a given branching level.     

Thermal behaviour of mixed long-chain alkylammonium tetrachlorozincates

Mixed crystals of composition (n-C_mH_2m+1NH₃)_2xm(n-C_nH_2n+1 · NH₃)_2?2xm ZnCl₄ (m= 12; n=14, 16, 18) are formed upon annealing mechanical mixtures of layer compounds (n-C_nH_2n+1NH₃)₂ZnCl₄, through solid state diffusion of the n-alkylammonium cations. From a common high temperature monophasic modification, in which the polymethylenic chains are conformationally molten, different modifications are obtained on cooling [depending on the (n ? m) value] in which chain crystallinity is developed. The structure of such modifications is speculated on the grounds of DSC and preliminary X-ray diffractometric and IR data, and compared with that of similar previously characterized systems.