Doubly vibrationally enhanced four wave mixing spectroscopy in an acetonitrile–magnesium perchlorate mixture

Conducting Excitation and Emission Spectra in the IR Regime: Frequency-Domain Time-Resolved Vibrational Four Wave Mixing Spectroscopy

We report new features of recently developed ultrafast coherent multidimensional spectroscopy (CMDS), an optical analogue to multidimensional NMR. By using both frequency- and time-domain nonlinear four wave mixing methods, CMDS is able to directly observe coherence transfer (CT), the coherent quantum mechanical analogue of population relaxation. Using a mixture of acetonitrile and magnesium perchlorate (1.0 M) as a model system, we demonstrated that this one color- and population-involving CT process makes CMDS capable of measuring samples with features that mimic excitation and emission spectral measurements in fluorescence spectroscopy. With the new capabilities, one might develop CMDS into a versatile vibrational tool for revealing the role of coherence as a design element in realizing a function. Furthermore, CT-based vibrational resonance energy transfer (VRET) methods may be developed for label-free biosensing and imaging, such as those demonstrated by fluorescence resonance energy transfer (FRET).

Second hyperpolarizability of C-H, C-D, and C≡N stretch vibrations determined from computational Raman activities and a comparison with experiments

We have recently demonstrated that the second hyperpolarizability γ of a selected vibrational mode of a molecule can be determined by using the computational Raman activity against an internal standard with a known Raman γ value. This approach provides a convenient way for prediction of the γ magnitude of DOVE four wave mixing spectroscopy, an optical analogue to two-dimensional (2D) NMR. Here, by using the Hartree-Fock (HF) method, the density functional theory (DFT) method, and the second-order Møller-Plesset perturbation theory (MP2) method, we extend our early work from the less anharmonic region <2000 cm(-1) into the more anharmonic region >2000 cm(-1) covering C-H, C-D, and C≡N stretching modes of benzene, deuterated benzene, acetonitrile, deuterated acetonitrile, and tetrahydrofuran. The computed Raman γ values of these vibrational modes have been determined by using either the 992 cm(-1) Raman band of benzene or the compound's own Raman band (C-C stretch) around 800-1000 cm(-1) as an internal standard. In this more anharmonic region, the HF method with a larger basis set provides the best outputs and the predicted Raman γ values agree well with experimental values for most of the vibrational modes studied. By choosing a suitable method and basis set, this facile approach could be applied to a broader spectral range for Raman γ estimation of various materials.

Raman second hyperpolarizability determination using computational Raman activities and a comparison with experiments

Doubly vibrationally enhanced (DOVE) four-wave mixing spectroscopy, an optical analogue to 2D NMR, involves two infrared transitions and a Raman transition. The magnitude of the DOVE second hyperpolarizability γ (or third-order susceptibility χ((3))) can be theoretically estimated if the values of the dipolar moments of the two infrared transitions and the γ of the Raman transition are known. The Raman γ can be measured by using the four-wave mixing interferometric method or conventional Raman spectroscopy in the presence of an internal standard. In this work, we examine if one can use the Raman activity computed from density functional theory calculation to determine the Raman γ of selected vibrational modes of several samples including deuterated benzene, acetonitrile, tetrahydrofuran, and sodium benzoate aqueous solution. The 992 cm(-1) Raman band of benzene serves as an internal standard for organic solvents, and the 880 cm(-1) Raman band of hydrogen peroxide is for the aqueous solution sample with known γ values. We have found that the predicted Raman γ values from the computational Raman activities match experimental data reasonably well, suggesting a facile approach to predict the Raman γ of interested systems.

Measurement of Raman χ(3) and theoretical estimation of DOVE four wave mixing of hydrogen peroxide

Hydrogen peroxide has strong infrared (IR) transitions ν(6) and its combination band ν(2)+ν(6), which may provide a unique opportunity to implement doubly vibrationally enhanced (DOVE) four wave mixing (FWM) for directly measuring hydrogen peroxide in spectrally overcrowded mixtures. In this work, the magnitude of the DOVE third-order susceptibility χ(3) was theoretically estimated. By using a FWM interferometric method, one of the strongest Raman bands, O-O stretch ν(3) Raman χ(3) of 30 wt % H(2)O(2), was first measured to be 1.2 × 10(-14) esu. The Raman χ(3) of ν(2) was then determined to be 5.3 × 10(-15) esu based on their relative Raman intensities. The resulting Raman χ(3) of ν(2) was used to calculate the DOVE χ(3) of (ν(6), ν(2)+ν(6)), together with the dipolar moments of the two IR transitions determined from IR absorption measurement. The calculated value of DOVE-IR χ(3) was 1.1 × 10(-13) esu for pure H(2)O(2), about 1.5 times larger than that of the strong ring breathing Raman band of benzene. The large DOVE χ(3) suggests the feasibility of direct measurement of hydrogen peroxide in an aqueous environment using DOVE four wave mixing.