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Dutton SE, Mastin EM, Blake GA. Chirped pulse Fourier-transform microwave spectroscopy of alcohol and water tetramers. Phys Chem Chem Phys 2023; 25:5960-5966. [PMID: 36648367 DOI: 10.1039/d2cp05022f] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Abstract
In an effort to build towards quantitative models of alcohol:water microaggregation in liquid mixtures, the present works characterizes the energy landscape and structures of pure ethanol and mixed ethanol:water tetramers using Chirped Pulse Fourier-transform Microwave spectroscopy. Many conformers of each type of tetramer are available, and those with sufficiently strong dipole moments are experimentally examined. This analysis considers, but does not explicitly fit, the splitting of rotational states due to internal rotation of the methyl groups present, as well as utilizes isotopic substitution experiments to verify the conformer variations observed. Implications of the listed results include a suggestion of the stability of micro-aggregated structures as opposed to homogeneously mixed clusters, informing future work on characterization of larger clusters and any potential modeling of the hydrogen bond network at play.
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Affiliation(s)
- S E Dutton
- Division of Chemistry and Chemical Engineering, California Institute of Technology, 1200 E California Blvd., Pasadena, CA, 91125, USA.
| | - E M Mastin
- Division of Chemistry and Chemical Engineering, California Institute of Technology, 1200 E California Blvd., Pasadena, CA, 91125, USA.
| | - G A Blake
- Division of Chemistry and Chemical Engineering, California Institute of Technology, 1200 E California Blvd., Pasadena, CA, 91125, USA.
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2
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Dutton SE, Blake GA. High throughput chirped pulse Fourier-transform microwave spectroscopy of ethanol and water clusters. Phys Chem Chem Phys 2022; 24:13831-13838. [PMID: 35616604 DOI: 10.1039/d2cp01055k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Here we discuss the design and performance of a novel high-throughput instrument for Chirped Pulse Fourier-transform Microwave (CP-FTMW) spectroscopy, and demonstrate its efficacy through the identification of the lowest energy conformers of the ethanol trimer and mixed water : ethanol trimers. Rotational constants for these trimers were calculated from observed lines in the spectra from 10 to 14 GHz, and compared to the results of anharmonic ab initio computations. As predicted, all trimers share a cyclic donor-acceptor hydrogen bonding structure, with the ethanol monomer favoring the gauche conformation in the lowest energy structures. The increased speed of data collection and resulting sensitivity opens a new avenue into rotational studies of higher order clusters.
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Affiliation(s)
- S E Dutton
- Division of Chemistry and Chemical Engineering, California Institute of Technology, 1200 E California Blvd., Pasadena, CA 91125, USA.
| | - G A Blake
- Division of Chemistry and Chemical Engineering, California Institute of Technology, 1200 E California Blvd., Pasadena, CA 91125, USA.
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3
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Nguyen HVL, Kleiner I. Understanding (coupled) large amplitude motions: the interplay of microwave spectroscopy, spectral modeling, and quantum chemistry. PHYSICAL SCIENCES REVIEWS 2020. [DOI: 10.1515/psr-2020-0037] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Abstract
A large variety of molecules contain large amplitude motions (LAMs), inter alia internal rotation and inversion tunneling, resulting in tunneling splittings in their rotational spectrum. We will present the modern strategy to study LAMs using a combination of molecular jet Fourier transform microwave spectroscopy, spectral modeling, and quantum chemical calculations to characterize such systems by the analysis of their rotational spectra. This interplay is particularly successful in decoding complex spectra revealing LAMs and providing reference data for fundamental physics, astrochemistry, atmospheric/environmental chemistry and analytics, or fundamental researches in physical chemistry. Addressing experimental key aspects, a brief presentation on the two most popular types of state-of-the-art Fourier transform microwave spectrometer technology, i.e., pulsed supersonic jet expansion–based spectrometers employing narrow-band pulse or broad-band chirp excitation, will be given first. Secondly, the use of quantum chemistry as a supporting tool for rotational spectroscopy will be discussed with emphasis on conformational analysis. Several computer codes for fitting rotational spectra exhibiting fine structure arising from LAMs are discussed with their advantages and drawbacks. Furthermore, a number of examples will provide an overview on the wealth of information that can be drawn from the rotational spectra, leading to new insights into the molecular structure and dynamics. The focus will be on the interpretation of potential barriers and how LAMs can act as sensors within molecules to help us understand the molecular behavior in the laboratory and nature.
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Affiliation(s)
- Ha Vinh Lam Nguyen
- Laboratoire Interuniversitaire des Systèmes Atmosphériques (LISA), CNRS UMR 7583 , Université Paris-Est Créteil, Université de Paris, Institut Pierre Simon Laplace , 61 avenue du Général de Gaulle, F-94010 , Créteil , France
- Institut Universitaire de France (IUF) , 1 rue Descartes, F-75231 Paris cedex 05, France
| | - Isabelle Kleiner
- Laboratoire Interuniversitaire des Systèmes Atmosphériques (LISA), CNRS UMR 7583 , Université Paris-Est Créteil, Université de Paris, Institut Pierre Simon Laplace , 61 avenue du Général de Gaulle, F-94010 , Créteil , France
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4
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Hearne TS, Abdelkader Khedaoui O, Hays BM, Guillaume T, Sims IR. A novel Ka-band chirped-pulse spectrometer used in the determination of pressure broadening coefficients of astrochemical molecules. J Chem Phys 2020; 153:084201. [PMID: 32872880 DOI: 10.1063/5.0017978] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A novel chirped-pulse Fourier transform microwave (CP-FTMW) spectrometer has been constructed to cover the Ka-band (26.5 GHz-40 GHz) for use in the CRESUCHIRP project, which aims to study the branching ratios of reactions at low temperatures using the chirped-pulse in uniform flow technique. The design takes advantage of recent developments in radio-frequency components, notably, high-frequency, high-power solid-state amplifiers. The spectrometer had a flatness of 5.5 dB across the spectral range, produced harmonic signals below -20 dBc, and the recorded signal scaled well to 6 × 106 averages. The new spectrometer was used to determine pressure broadening coefficients with a helium collider at room temperature for three molecules relevant to astrochemistry, applying the Voigt function to fit the magnitude of the Fourier-transformed data in the frequency domain. The pressure broadening coefficient for carbonyl sulfide was determined to be (2.45 ± 0.02) MHz mbar-1 at room temperature, which agreed well with previous measurements. Pressure broadening coefficients were also determined for multiple transitions of vinyl cyanide and benzonitrile. Additionally, the spectrometer was coupled with a cold, uniform flow from a Laval nozzle. The spectrum of vinyl cyanide was recorded in the flow, and its rotational temperature was determined to be (24 ± 11) K. This temperature agreed with a prediction of the composite temperature of the system through simulations of the experimental environment coupled with calculations of the solution to the optical Bloch equations. These results pave the way for future quantitative studies in low-temperature and high-pressure environments using CP-FTMW spectroscopy.
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Affiliation(s)
- Thomas S Hearne
- Univ. Rennes, CNRS, IPR (Institut de Physique de Rennes) - UMR 6251, F-35000 Rennes, France
| | | | - Brian M Hays
- Univ. Rennes, CNRS, IPR (Institut de Physique de Rennes) - UMR 6251, F-35000 Rennes, France
| | - Théo Guillaume
- Univ. Rennes, CNRS, IPR (Institut de Physique de Rennes) - UMR 6251, F-35000 Rennes, France
| | - Ian R Sims
- Univ. Rennes, CNRS, IPR (Institut de Physique de Rennes) - UMR 6251, F-35000 Rennes, France
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5
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Zou L, Motiyenko RA, Margulès L, Alekseev EA. Millimeter-wave emission spectrometer based on direct digital synthesis. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2020; 91:063104. [PMID: 32611015 DOI: 10.1063/5.0004461] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/11/2020] [Accepted: 05/31/2020] [Indexed: 06/11/2023]
Abstract
We present a millimeter-wave Fourier transform emission spectrometer whose design is based on the application of a direct digital synthesizer (DDS) up-converted into the Ku-band with subsequent frequency multiplication. The spectrometer covers the frequency range from 50 GHz to 110 GHz and from 150 GHz to 330 GHz. Owing to the fast frequency switching ability of the DDS in the spectrometer, the same radiation source is used both as a generator of short polarizing pulses and as a local oscillator for the heterodyne receiving system. Such a design provides intrinsically coherent reception that allows very long-term data averaging in the time domain, which improves considerably the maximum sensitivity of the spectrometer. The performances of the spectrometer including the data acquisition rate, the sensitivity, and the accuracy of line frequency measurements were tested on the rotational spectra of OCS, NH2CHO, and CH3CH2CN. We show that in the frequency range of 150-300 GHz, the maximum sensitivity of the spectrometer for a 10 min integration time is around 10-9 cm-1 (the minimal value of the absorption coefficient of detectable rotational transition) in the case of narrowband single frequency pulse excitation, and around 10-8 cm-1 in the case of broadband chirped-pulse excitation.
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Affiliation(s)
- Luyao Zou
- Université de Lille, Faculté des Sciences et Technologies, Département Physique, Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523, 59655 Villeneuve d'Ascq Cedex, France
| | - Roman A Motiyenko
- Université de Lille, Faculté des Sciences et Technologies, Département Physique, Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523, 59655 Villeneuve d'Ascq Cedex, France
| | - Laurent Margulès
- Université de Lille, Faculté des Sciences et Technologies, Département Physique, Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523, 59655 Villeneuve d'Ascq Cedex, France
| | - Eugen A Alekseev
- Institute of Radio Astronomy of the National Academy of Sciences of Ukraine (IRA NASU), 4, Mystetstv St., Kharkiv 61002, Ukraine
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McCarthy M, Lee KLK. Molecule Identification with Rotational Spectroscopy and Probabilistic Deep Learning. J Phys Chem A 2020; 124:3002-3017. [PMID: 32212702 DOI: 10.1021/acs.jpca.0c01376] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Abstract
A proof-of-concept framework for identifying molecules of unknown elemental composition and structure using experimental rotational data and probabilistic deep learning is presented. Using a minimal set of input data determined experimentally, we describe four neural network architectures that yield information to assist in the identification of an unknown molecule. The first architecture translates spectroscopic parameters into Coulomb matrix eigenspectra as a method of recovering chemical and structural information encoded in the rotational spectrum. The eigenspectrum is subsequently used by three deep learning networks to constrain the range of stoichiometries, generate SMILES strings, and predict the most likely functional groups present in the molecule. In each model, we utilize dropout layers as an approximation to Bayesian sampling, which subsequently generates probabilistic predictions from otherwise deterministic models. These models are trained on a modestly sized theoretical dataset comprising ∼83 000 unique organic molecules (between 18 and 180 amu) optimized at the ωB97X-D/6-31+G(d) level of theory, where the theoretical uncertainties of the spectoscopic constants are well-understood and used to further augment training. Since chemical and structural properties depend strongly on molecular composition, we divided the dataset into four groups corresponding to pure hydrocarbons, oxygen-bearing species, nitrogen-bearing species, and both oxygen- and nitrogen-bearing species, training each type of network with one of these categories, thus creating "experts" within each domain of molecules. We demonstrate how these models can then be used for practical inference on four molecules and discuss both the strengths and shortcomings of our approach and the future directions these architectures can take.
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Affiliation(s)
- Michael McCarthy
- Center for Astrophysics
- Harvard & Smithsonian, 60 Garden Street, Cambridge, Massachusetts 02138, United States
| | - Kin Long Kelvin Lee
- Center for Astrophysics
- Harvard & Smithsonian, 60 Garden Street, Cambridge, Massachusetts 02138, United States
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7
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Yao YC, Tan BH, Zhang K. A general experimental system for the development of acoustic logging tools. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2019; 90:045109. [PMID: 31043055 DOI: 10.1063/1.5082342] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2018] [Accepted: 03/20/2019] [Indexed: 06/09/2023]
Abstract
Laboratory testing is a pre-requisite for the practical application of new methods and techniques, and it is crucial in the research and development of acoustic well-logging tools. Various tools have been developed based on different acoustic logging theories and methods. Thus, these tools are equipped with different acoustic sonde structures. To meet the test requirements of different tools in a laboratory environment, we designed a general experimental system that includes hardware platform, software platform, and model wells according to the common structure of actual logging tools. Similar to the internal electrical structure of downhole tools, the hardware platform consists of several main parts, such as power supply, control and telemetering, acoustic emission, and data acquisition. The functions of this hardware platform include controlling the working sequence of the experiment, exciting the transmitter sonde, and collecting the acoustic signals received by the receiver sonde. The software platform installed in the host computer provides a human-computer interface for the experimental system to complete the data transmission between the host computer and the hardware platform, store measured data, and process the data in real time. The model wells approximate the actual engineering environment and stratum condition for system testing. A series of practical laboratory experiments is conducted in the model wells by using this experimental system. The process proves that the hardware and software of the experimental system can work in coordination, and the experimental system meets the basic testing requirements of conventional acoustic logging tools.
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Affiliation(s)
- Y C Yao
- College of Information and Control Engineering, China University of Petroleum (East China), Qingdao 266580, China
| | - B H Tan
- School of Geosciences, China University of Petroleum (East China), Qingdao 266580, China
| | - K Zhang
- School of Geosciences, China University of Petroleum (East China), Qingdao 266580, China
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8
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Beutner V, Duffy LM, Meyer H. Resonance Enhanced Multiphoton Ionization Detected Millimeter-Wave Absorption: The 115 GHz Line of CO. J Phys Chem A 2019; 123:2153-2162. [DOI: 10.1021/acs.jpca.8b11528] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- V. Beutner
- Department of Physics and Astronomy, The University of Georgia, Athens, Georgia 30602-2451, United States
| | - L. M. Duffy
- Department of Chemistry & Biochemistry, University of North Carolina at Greensboro, Greensboro, North Carolina 27412, United States
| | - H. Meyer
- Department of Physics and Astronomy, The University of Georgia, Athens, Georgia 30602-2451, United States
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9
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Nemchick DJ, Drouin BJ, Cich MJ, Crawford T, Tang AJ, Kim Y, Reck TJ, Schlecht ET, Chang MCF, Virbila G. A 90-102 GHz CMOS based pulsed Fourier transform spectrometer: New approaches for in situ chemical detection and millimeter-wave cavity-based molecular spectroscopy. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2018; 89:073109. [PMID: 30068109 DOI: 10.1063/1.5025729] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/12/2018] [Accepted: 06/14/2018] [Indexed: 06/08/2023]
Abstract
We present a system level description of a cavity-enhanced millimeter-wave spectrometer that is the first in its class to combine source and detection electronics constructed from architectures commonly deployed in the mobile phone industry and traditional pulsed Fourier transform techniques to realize a compact device capable of sensitive and specific in situ gas detections. The instrument, which has an operational bandwidth of 90-102 GHz, employs several unique components, including a custom-designed pair of millimeter-wave transmitter and heterodyne receiver integrated circuit chips constructed with 65 nm complementary metal-oxide semiconductor (CMOS) techniques. These elements are directly mated to a hybrid coupling structure that enables free-space interaction of the electronics with a small gas volume while also acting as a cavity end mirror. Instrument performance for sensing of volatile compounds is highlighted with experimental trials taken in bulk gas flows and seeded molecular beam environments.
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Affiliation(s)
- Deacon J Nemchick
- Laboratory Studies and Atmospheric Observations, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - Brian J Drouin
- Laboratory Studies and Atmospheric Observations, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - Matthew J Cich
- Laboratory Studies and Atmospheric Observations, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - Timothy Crawford
- Laboratory Studies and Atmospheric Observations, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - Adrian J Tang
- Submillimeter Wave Advanced Technology, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - Yanghyo Kim
- Submillimeter Wave Advanced Technology, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - Theodore J Reck
- Submillimeter Wave Advanced Technology, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - Erich T Schlecht
- Submillimeter Wave Advanced Technology, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
| | - M-C Frank Chang
- Department of Electrical Engineering, University of California at Los Angeles, Los Angeles, California 90095, USA
| | - Gabriel Virbila
- Department of Electrical Engineering, University of California at Los Angeles, Los Angeles, California 90095, USA
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11
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Long DA, Fleisher AJ, Plusquellic DF, Hodges JT. Multiplexed sub-Doppler spectroscopy with an optical frequency comb. PHYSICAL REVIEW. A 2016; 94:061801(R). [PMID: 28529996 PMCID: PMC5436586 DOI: 10.1103/physreva.94.061801] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
An optical frequency comb generated with an electro-optic phase modulator and a chirped radiofrequency waveform is used to perform pump-probe spectroscopy on the D1 and D2 transitions of atomic potassium at 770.1 nm and 766.7 nm, respectively. With a comb tooth spacing of 200 kHz and an optical bandwidth of 2 GHz the hyperfine transitions can be simultaneously observed. Interferograms are recorded in as little as 5 μs (a timescale corresponding to the inverse of the comb tooth spacing). Importantly, the sub-Doppler features can be measured as long as the laser carrier frequency lies within the Doppler profile, thus removing the need for slow scanning or a priori knowledge of the frequencies of the sub-Doppler features. Sub-Doppler optical frequency comb spectroscopy has the potential to dramatically reduce acquisition times and allow for rapid and accurate assignment of complex molecular and atomic spectra which are presently intractable.
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Affiliation(s)
- D. A. Long
- Material Measurement Laboratory, National Institute of Standards and Technology, 100 Bureau Drive, Gaithersburg, Maryland 20899, USA
| | - A. J. Fleisher
- Material Measurement Laboratory, National Institute of Standards and Technology, 100 Bureau Drive, Gaithersburg, Maryland 20899, USA
| | - D. F. Plusquellic
- Physical Measurement Laboratory, National Institute of Standards and Technology, 325 Broadway, Boulder, CO 80305, USA
| | - J. T. Hodges
- Material Measurement Laboratory, National Institute of Standards and Technology, 100 Bureau Drive, Gaithersburg, Maryland 20899, USA
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12
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McGuire BA, Carroll PB, Loomis RA, Finneran IA, Jewell PR, Remijan AJ, Blake GA. Discovery of the interstellar chiral molecule propylene oxide (CH3CHCH2O). Science 2016; 352:1449-52. [DOI: 10.1126/science.aae0328] [Citation(s) in RCA: 201] [Impact Index Per Article: 25.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/31/2015] [Accepted: 05/11/2016] [Indexed: 11/02/2022]
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13
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Park GB, Field RW. Perspective: The first ten years of broadband chirped pulse Fourier transform microwave spectroscopy. J Chem Phys 2016; 144:200901. [DOI: 10.1063/1.4952762] [Citation(s) in RCA: 83] [Impact Index Per Article: 10.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- G. Barratt Park
- Institute for Physical Chemistry, University of Göttingen, Tammannstraße 6, 37077 Göttingen, Germany
- Max Planck Institute for Biophysical Chemistry, Göttingen, Am Faßberg 11, 37077 Göttingen, Germany
| | - Robert W. Field
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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14
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Finneran IA, Carroll PB, Mead GJ, Blake GA. Hydrogen bond competition in the ethanol–methanol dimer. Phys Chem Chem Phys 2016; 18:22565-72. [DOI: 10.1039/c6cp03980d] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Previous theoretical work on the ethanol–methanol dimer has been inconclusive in predicting the preferred hydrogen bond donor/acceptor configuration.
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Affiliation(s)
- Ian A. Finneran
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
| | - P. Brandon Carroll
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
| | - Griffin J. Mead
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
| | - Geoffrey A. Blake
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
- Division of Geological and Planetary Sciences
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Finneran IA, Carroll PB, Allodi MA, Blake GA. Hydrogen bonding in the ethanol–water dimer. Phys Chem Chem Phys 2015; 17:24210-4. [DOI: 10.1039/c5cp03589a] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
We report the first rotational spectrum of the ground state of the isolated ethanol–water dimer using chirped-pulse Fourier transform microwave spectroscopy between 8–18 GHz.
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Affiliation(s)
- Ian A. Finneran
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
| | - P. Brandon Carroll
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
| | - Marco A. Allodi
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
| | - Geoffrey A. Blake
- Division of Chemistry and Chemical Engineering
- California Institute of Technology
- Pasadena
- USA
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