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Accurate equilibrium structures of some challenging molecules: FNO, ClNO, HONO, FNO2, and N2O 一些具有挑战性的分子:FNO, ClNO, HONO, FNO2和N2O的精确平衡结构
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-04-01 DOI: 10.1016/j.jms.2023.111788
Jean Demaison , Jacques Liévin , Natalja Vogt

It is sometimes difficult to determine the structure of some molecules because the optimization using standard ab initio methods (coupled-cluster with single, double, and perturbative triples [CCSD(T)] level) does not give the correct result and the experimental and semiexperimental methods are not accurate because the system of normal equations of the least-squares method is ill-conditioned. In such a case, it may be still possible to derive an accurate equilibrium structure in the following way: the experimental rotational constants are compared to those obtained at the CCSD(T) level, the latter being corrected to take into account the rovibrational correction (and, if necessary, the electronic correction). Extrapolating (or interpolating) the rotational constants calculated with different basis sets (e.g. cc-pwCVTZ and cc-pwCVQZ) towards the experimental values as a function of the bond lengths and angles permits to obtain an accurate equilibrium structure. This method is first tested on two molecules for which the multireference effects are important: O3 and HOON. It is then, applied to molecules with a weak N–X bond (HONO, FNO, ClNO, FNO2, and N2O) for which the single reference CCSD(T) method gives bonds that are too short. The results are compared to the experimental and semiexperimental equilibrium structures. As a further check, the structure of ClNO is calculated at the CCSDTQ level and the structures of FNO and ClNO are calculated at the MRCI-F12 level. From a comparison of the different results, it appears that the accuracy of the proposed method is better than 0.002 Å for the bond lengths and 0.3° for the angles.

一些分子的结构有时难以确定,因为使用标准的初始化方法(单、双和摄动三元组[CCSD(T)]水平的耦合簇)进行优化不能给出正确的结果,而实验和半实验方法由于最小二乘法的正方程系统是病态的而不准确。在这种情况下,仍有可能通过以下方式推导出精确的平衡结构:将实验旋转常数与在CCSD(T)水平上获得的旋转常数进行比较,并对后者进行校正,以考虑旋转振动校正(必要时,还有电子校正)。将不同基集(例如cc-pwCVTZ和cc-pwCVQZ)计算的旋转常数作为键长和角度的函数,向实验值外推(或内插),可以获得精确的平衡结构。该方法首先在两个多参比效应重要的分子上进行了测试:O3和HOON。然后,将其应用于具有弱N-X键的分子(HONO, FNO, ClNO, FNO2和N2O),对于这些分子,单一参考CCSD(T)方法给出的键太短。结果与实验和半实验平衡结构进行了比较。为了进一步检验,在CCSDTQ水平计算ClNO的结构,在MRCI-F12水平计算FNO和ClNO的结构。从不同结果的比较中可以看出,该方法的键长精度优于0.002 Å,键角精度优于0.3°。
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引用次数: 1
Rotational spectroscopy of oxirane-2,2-d2, c-CD2CH2O, and its tentative detection toward IRAS 16293-2422 B 环氧乙烷-2,2-d2,c-CD2CH2O的旋转光谱及其对IRAS 16293-2422B的初步检测
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-04-01 DOI: 10.1016/j.jms.2023.111777
Holger S.P. Müller , Jes K. Jørgensen , Jean-Claude Guillemin , Frank Lewen , Stephan Schlemmer

We prepared a sample of oxirane doubly deuterated at one C atom and studied its rotational spectrum in the laboratory for the first time between 120 GHz and 1094 GHz. Accurate spectroscopic parameters up to eighth order were determined, and the calculated rest frequencies were used to identify c-CD2CH2O tentatively in the interstellar medium in the Atacama Large Millimeter/submillimeter Array Protostellar Interferometric Line Survey (PILS) of the Class 0 protostellar system IRAS 16293-2422. The c-CD2CH2O to c-C2H4O ratio was estimated to be 0.054 with Trot=125 K. This value translates to a D-to-H ratio of 0.16 per H atom which is higher by a factor of 4.5 than the 0.036 per H atom obtained for c-C2H3DO. Such increase in the degree of deuteration referenced to one H atom in multiply deuterated isotopologs compared to their singly deuterated variants have been observed commonly in recent years.

我们制备了一个C原子上双氘代的环氧乙烷样品,并首次在实验室中研究了其在120GHz至1094GHz之间的旋转光谱。在0级原恒星系统IRAS 16293-2422的阿塔卡马大毫米/亚毫米阵列原恒星干涉测线(PILS)中,确定了高达八阶的精确光谱参数,并使用计算的静息频率初步识别了星际介质中的c-CD2CH2O。当Trot=125 K时,c-CD2CH2O与c-C2H4O的比率估计为~0.054。该值转化为每H原子~0.16的D-to-H比率,比c-C2H3DO获得的每H原子约0.036高4.5倍。近年来,人们普遍观察到,与单个氘化变体相比,多重氘化等位异构体中一个H原子的氘化程度增加。
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引用次数: 1
Millimeter wave spectroscopy of propynal isotopologues and structure determination 丙基同位素物的毫米波光谱及其结构测定
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-04-01 DOI: 10.1016/j.jms.2023.111786
Evan G. Robertson , Mahmut Ruzi , Don McNaughton , Laurent Margulès , Roman A. Motiyenko , Jean-Claude Guillemin

Rotational transitions of propynal (HCCCHO) have been measured in the 150–900 GHz region by millimeter wave spectroscopy and in the far infrared region by high resolution FTIR spectroscopy using a synchrotron source. For the parent isotopologue, assignment of MMW transitions up to very high quantum numbers (J = 100, Ka = 25) reveals evidence of extensive perturbations in the ground vibrational state due to Fermi-asymmetry resonance with an excited vibrational state. A fit to nearly 3000 ground state transitions yields effective constants that are suitable for describing relatively unperturbed rotational levels up to Ka = 13. Over 1000 transitions were assigned and fitted for each singly substituted 13C species and nearly 400 transitions for the 18O variant. Re-analysis of literature data on deuterated species, aided by centrifugal distortion constants from hybrid density functional theory calculations at the B2PLYP/aug-cc-pVTZ level, provides a further set of rotational constants. This allows determination of a Rm(2) structure for propynal with the following geometry: r(C≡C) = 1.2066(15), r(CC) = 1.4486(14), r(CO) = 1.2087(10), r(C­H ald) = 1.1069(8), r(C­H acet) = 1.0578(13), θ(CCC) = 176.71(22), θ(OCC) = 123.23(7), θ(HCC ald) = 114.43(31), θ(HCC acet) = 178.45(16). A new Rs structure was also derived.

用毫米波光谱测量了丙醛(HCCCHO)在150 ~ 900 GHz区域的旋转跃迁,用同步加速器源用高分辨率FTIR光谱测量了远红外区域的旋转跃迁。对于母同位素,将毫米波跃迁分配到非常高的量子数(J = 100, Ka = 25)表明,由于费米不对称共振与激发态的共振,基态振动状态存在广泛的扰动。对近3000个基态跃迁的拟合产生了有效常数,该常数适用于描述Ka = 13以下相对无扰动的旋转能级。每个单独取代的13C种被分配和拟合了超过1000个转变,18O变体被分配和拟合了近400个转变。在B2PLYP/ augg -cc- pvtz混合密度泛函理论计算的离心畸变常数的帮助下,重新分析了氘化物质的文献数据,提供了进一步的旋转常数集。这允许确定一个Rm(2)结构propynal以下几何:r (C≡C) = 1.2066(15)、r (CC) = 1.4486(14)、r (CO) = 1.2087(10)、r(碳氢键ald) = 1.1069(8)、r(碳氢键乙炔)= 1.0578(13),θ(CCC) = 176.71(22),θ(OCC) = 123.23(7),θ(HCC ald) = 114.43(31),θ(HCC乙炔)= 178.45(16)。还推导出了一个新的r结构。
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引用次数: 0
Microwave spectrum and substitution structure of syn thiobenzoic acid 合成硫代苯甲酸的微波光谱与取代结构
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-04-01 DOI: 10.1016/j.jms.2023.111787
Aaron J. Reynolds, Kenneth R. Leopold

The rotational spectrum of the syn conformer of thiobenzoic acid (C6H5COSH) has been observed by Fourier transform microwave spectroscopy in a supersonic jet. Spectra of all singly-substituted isotopologues involving 13C, as well as the 18O, 33S, 34S, and −SD derivatives have also been recorded. The isotopic data have been used to derive structural parameters of the molecular frame. The results are compared with density functional theory calculations at theM06-2X/6-311++G(d,p) level and show excellent agreement. The molecule is planar at the equilibrium geometry, and calculations of the energy profile for out-of-plane torsion of the SH group are presented. The anti conformer was not observed, consistent with calculations which indicate that it lies 2.6 kcal/mol higher in energy than the syn form.

用傅里叶变换微波光谱在超音速射流中观察了硫代苯甲酸(C6H5COSH)的同步构象的旋转光谱。记录了13C、18O、33S、34S和−SD衍生物的单取代同位素谱。同位素数据被用来推导分子框架的结构参数。结果与密度泛函理论在theM06-2X/6-311++G(d,p)水平上的计算结果一致。分子在平衡几何形状上是平面的,并给出了SH基团的面外扭转能量分布的计算。没有观察到反构象,这与计算结果一致,表明反构象的能量比正构象高2.6 kcal/mol。
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引用次数: 0
Rotational spectroscopic studies of para-nitrobenzoic acid, para-aminobenzoic acid, para-chlorobenzoic acid, and para-hydroxybenzoic acid 对硝基苯甲酸、对氨基苯甲酸、对氯苯甲酸和对羟基苯甲酸的旋转光谱研究
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-04-01 DOI: 10.1016/j.jms.2023.111790
Mohamad H. Al-Jabiri , Arsh S. Hazrah , Aran Insausti , Yunjie Xu , Wolfgang Jӓger

The rotational spectra of four substituted benzoic acids, i.e., para-aminobenzoic acid, para-nitrobenzoic acid, para-chlorobenzoic acid, and para-hydroxybenzoic acid were recorded with a chirp-pulse Fourier transform microwave spectrometer and analysed in terms of rotational constants and, where applicable, nuclear quadrupole coupling constants and tunnelling motions. In all instances, the experimentally identified conformer contains a carboxylic acid group in the cis-arrangement. In the case of para-hydroxybenzoic acid, spectra of two conformers were observed which differ in the orientation of the para-OH group. Quantum chemical calculations at the B3LYP-D3BJ/def2-TZVP and B2PLYP-D3BJ/cc-pCVTZ levels show that the trans-conformers are about 23 kJ mol−1 higher in energy than the global minimum cis-conformers. In general, the calculated rotational constants are in good agreement with the experimental derived ones. Agreement between calculated and experimental 14N and 35/37Cl nuclear quadrupole coupling constants is somewhat worse and necessitated the use of the B2PLYP functional in the case of para-nitrobenzoic acid to reduce the discrepancy. Conversion barriers between possible conformers were calculated to explain the absence of tunnelling splittings and/or higher energy conformers in the experimental spectra. An analysis of the electron density distribution was used to rationalize the calculated out-of-plane excursions of the carboxylic acid group in the trans-conformers.

用啁啾脉冲傅立叶变换微波光谱仪记录了对氨基苯甲酸、对硝基苯甲酸、对氯苯甲酸和对羟基苯甲酸四种取代苯甲酸的旋转光谱,并根据旋转常数和核四极耦合常数和隧穿运动进行了分析。在所有情况下,实验鉴定的构象含有顺式排列的羧酸基团。在对羟基苯甲酸的情况下,观察到两种构象的光谱,它们在对羟基的取向上不同。在B3LYP-D3BJ/def2-TZVP和B2PLYP-D3BJ/cc-pCVTZ能级上的量子化学计算表明,反式构象的能量比全局最小顺式构象高约23 kJ mol−1。总的来说,计算的旋转常数与实验推导的旋转常数符合得很好。14N和35/37Cl核四极耦合常数的计算值与实验值之间的一致性较差,需要在对硝基苯甲酸的情况下使用B2PLYP功能来减小差异。计算了可能构象之间的转换势垒,以解释实验光谱中隧道分裂和/或高能量构象的缺失。通过对电子密度分布的分析,对反式构象中羧酸基的面外偏移进行了合理化计算。
{"title":"Rotational spectroscopic studies of para-nitrobenzoic acid, para-aminobenzoic acid, para-chlorobenzoic acid, and para-hydroxybenzoic acid","authors":"Mohamad H. Al-Jabiri ,&nbsp;Arsh S. Hazrah ,&nbsp;Aran Insausti ,&nbsp;Yunjie Xu ,&nbsp;Wolfgang Jӓger","doi":"10.1016/j.jms.2023.111790","DOIUrl":"10.1016/j.jms.2023.111790","url":null,"abstract":"<div><p>The rotational spectra of four substituted benzoic acids, i.e., <em>para</em>-aminobenzoic acid, <em>para</em>-nitrobenzoic acid, <em>para</em>-chlorobenzoic acid, and <em>para</em>-hydroxybenzoic acid were recorded with a chirp-pulse Fourier transform microwave spectrometer and analysed in terms of rotational constants and, where applicable, nuclear quadrupole coupling constants and tunnelling motions. In all instances, the experimentally identified conformer contains a carboxylic acid group in the <em>cis</em>-arrangement. In the case of <em>para</em>-hydroxybenzoic acid, spectra of two conformers were observed which differ in the orientation of the <em>para</em>-OH group. Quantum chemical calculations at the B3LYP-D3BJ/def2-TZVP and B2PLYP-D3BJ/cc-pCVTZ levels show that the <em>trans</em>-conformers are about 23 kJ mol<sup>−1</sup> higher in energy than the global minimum <em>cis</em>-conformers. In general, the calculated rotational constants are in good agreement with the experimental derived ones. Agreement between calculated and experimental <sup>14</sup>N and <sup>35/37</sup>Cl nuclear quadrupole coupling constants is somewhat worse and necessitated the use of the B2PLYP functional in the case of <em>para</em>-nitrobenzoic acid to reduce the discrepancy. Conversion barriers between possible conformers were calculated to explain the absence of tunnelling splittings and/or higher energy conformers in the experimental spectra. An analysis of the electron density distribution was used to rationalize the calculated out-of-plane excursions of the carboxylic acid group in the <em>trans</em>-conformers.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"394 ","pages":"Article 111790"},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42560575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Spectroscopic study of the F1Σg+ outer well state in H2, HD and D2 H2、HD和D2中F1Σg+外井态的光谱研究
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-03-01 DOI: 10.1016/j.jms.2023.111778
K.-F. Lai, M. Beyer, W. Ubachs

Two-photon UV-photolysis of hydrogen sulfide molecules is applied to produce hydrogen molecules in highly excited vibrational levels in the X1Σg+ electronic ground state, up to the dissociation energy and into the quasibound region. Photolysis precursors H2S, HDS and D2S are used to produce vibrationally hot H2, HD and D2. The wave function density at large internuclear separation is excited via two-photon transitions in the F1Σg+ - X1Σg+ system to probe ro-vibrational levels in the first F1Σg+ outer well state of gerade symmetry. Combining with accurate knowledge of the X1Σg+ (v,J) levels from advanced ab initio calculations, energies of rovibrational levels in the F1Σg+ state are determined. For the H2 isotopologue a three-laser scheme is employed yielding level energies at accuracies of 4×103 cm−1 for F(v=0,J) up to J=21 and for some low J values of F(v=1). A two-laser scheme was applied to determine level energies in H2 for F(v=04) levels as well as for various F levels in HD and D2, also up to large rotational quantum numbers. The latter measurements in the two-laser scheme are performed at lower resolution and the accuracy is strongly limited to 0.5 cm−1 by ac-Stark effects. For H2 a new quasibound resonance X1

硫化氢分子的双光子紫外光解用于在X1∑g+电子基态产生高激发振动能级的氢分子,高达离解能并进入准束缚区。光解前体H2S、HDS和D2S用于产生振动热的H2、HD和D2。在F1∑g+-X1∑g+系统中,通过双光子跃迁激发了核间大分离时的波函数密度,以探测gerade对称的第一个F1∑g+外阱态中的ro振动能级。结合高级从头计算中X1∑g+(v,J)能级的精确知识,确定了F1∑g+态的回旋能级的能量。对于H2等拓扑结构,采用三激光方案,对于F(v=0,J)至J=21和F(v=1)的一些低J值,产生精度为4×10−3 cm−1的能级能量。应用双激光方案来确定H2中F(v=0−4)能级以及HD和D2中各种F能级的能级能量,也可以达到大的旋转量子数。双激光方案中的后一种测量是在较低的分辨率下进行的,并且由于ac Stark效应,精度被严格限制在0.5 cm−1。对于H2,通过F0-X6带中的Q(23)和O(23)跃迁检测到一个新的准束缚共振X1∑g+(v=6,J=23)。此外,在D2中首次给出了准束缚共振:X1∑g+(v=17,J=15)。将F(v,J)能级能量的实验结果与先前报道的多通道量子缺陷计算的理论结果以及新进行的非绝热量子计算的结果进行了比较。
{"title":"Spectroscopic study of the F1Σg+ outer well state in H2, HD and D2","authors":"K.-F. Lai,&nbsp;M. Beyer,&nbsp;W. Ubachs","doi":"10.1016/j.jms.2023.111778","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111778","url":null,"abstract":"<div><p>Two-photon UV-photolysis of hydrogen sulfide molecules is applied to produce hydrogen molecules in highly excited vibrational levels in the X<span><math><mrow><msup><mrow></mrow><mrow><mn>1</mn></mrow></msup><msubsup><mrow><mi>Σ</mi></mrow><mrow><mi>g</mi></mrow><mrow><mo>+</mo></mrow></msubsup></mrow></math></span> electronic ground state, up to the dissociation energy and into the quasibound region. Photolysis precursors H<sub>2</sub>S, HDS and D<sub>2</sub>S are used to produce vibrationally hot H<sub>2</sub>, HD and D<sub>2</sub>. The wave function density at large internuclear separation is excited via two-photon transitions in the F<span><math><mrow><msup><mrow></mrow><mrow><mn>1</mn></mrow></msup><msubsup><mrow><mi>Σ</mi></mrow><mrow><mi>g</mi></mrow><mrow><mo>+</mo></mrow></msubsup></mrow></math></span> - X<span><math><mrow><msup><mrow></mrow><mrow><mn>1</mn></mrow></msup><msubsup><mrow><mi>Σ</mi></mrow><mrow><mi>g</mi></mrow><mrow><mo>+</mo></mrow></msubsup></mrow></math></span> system to probe ro-vibrational levels in the first F<span><math><mrow><msup><mrow></mrow><mrow><mn>1</mn></mrow></msup><msubsup><mrow><mi>Σ</mi></mrow><mrow><mi>g</mi></mrow><mrow><mo>+</mo></mrow></msubsup></mrow></math></span> outer well state of <em>gerade</em> symmetry. Combining with accurate knowledge of the X<span><math><mrow><msup><mrow></mrow><mrow><mn>1</mn></mrow></msup><msubsup><mrow><mi>Σ</mi></mrow><mrow><mi>g</mi></mrow><mrow><mo>+</mo></mrow></msubsup></mrow></math></span> (<span><math><mrow><mi>v</mi><mo>,</mo><mi>J</mi></mrow></math></span>) levels from advanced ab initio calculations, energies of rovibrational levels in the F<span><math><mrow><msup><mrow></mrow><mrow><mn>1</mn></mrow></msup><msubsup><mrow><mi>Σ</mi></mrow><mrow><mi>g</mi></mrow><mrow><mo>+</mo></mrow></msubsup></mrow></math></span> state are determined. For the H<sub>2</sub> isotopologue a three-laser scheme is employed yielding level energies at accuracies of <span><math><mrow><mn>4</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup></mrow></math></span> cm<sup>−1</sup> for F(<span><math><mrow><mi>v</mi><mo>=</mo><mn>0</mn><mo>,</mo><mi>J</mi></mrow></math></span>) up to <span><math><mrow><mi>J</mi><mo>=</mo><mn>21</mn></mrow></math></span> and for some low <span><math><mi>J</mi></math></span> values of F(<span><math><mrow><mi>v</mi><mo>=</mo><mn>1</mn></mrow></math></span>). A two-laser scheme was applied to determine level energies in H<sub>2</sub> for F(<span><math><mrow><mi>v</mi><mo>=</mo><mn>0</mn><mo>−</mo><mn>4</mn></mrow></math></span>) levels as well as for various F levels in HD and D<sub>2</sub>, also up to large rotational quantum numbers. The latter measurements in the two-laser scheme are performed at lower resolution and the accuracy is strongly limited to 0.5 cm<sup>−1</sup> by ac-Stark effects. For H<sub>2</sub> a new quasibound resonance X<span><math><mrow><msup><mrow></mrow><mrow><mn>1</mn></mrow></msup><msu","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"393 ","pages":"Article 111778"},"PeriodicalIF":1.4,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49758627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A local Gaussian Processes method for fitting potential surfaces that obviates the need to invert large matrices 一种局部高斯过程方法,用于拟合势面,避免了对大矩阵进行反演的需要
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-03-01 DOI: 10.1016/j.jms.2023.111774
Nuoyan Yang , Spencer Hill , Sergei Manzhos , Tucker Carrington

In order to compute a vibrational spectrum, one often wishes to start with a set of ab initio Born–Oppenheimer potential values at points, called fitting points, and interpolate or fit to find values of the potential at quadrature or collocation points. It is common to do this once to build a potential energy surface (PES). Once the PES is known, it can be evaluated at any point in configuration space. Gaussian Process (GP) is frequently being used to make a PES. As is the case in other interpolation methods, to use GP one must store and invert a matrix whose size is the number of fitting points. The matrix is sometimes large enough that approximations are introduced to reduce the cost of the calculation. We show that is possible to use many local Gaussian Process fits rather than one global fit. Retaining only local Gaussians and the associated points works well despite the fact that other Gaussians have tails with significant amplitude in the local region. We demonstrate that from the potential values obtained from the local fits it is possible to compute accurate energy levels of formaldehyde. In one calculation, potential values were obtained with N=120,000 fitting points by inverting matrices of size less than m=400. The local idea reduces the cost from N3 to T(m3+N), where T is the number of desired potential points.

为了计算振动谱,人们通常希望从一组从头算的Born-Oppenheimer势值开始,称为拟合点,然后插值或拟合以找到正交点或配点的势值。通常这样做一次以建立势能面(PES)。一旦知道了PES,就可以在配置空间的任何点对其进行评估。高斯过程(GP)经常被用来制作PES。与其他插值方法一样,要使用GP,必须存储和反转一个矩阵,其大小是拟合点的数量。矩阵有时足够大,可以引入近似来减少计算成本。我们证明了使用多个局部高斯过程拟合而不是一个全局拟合是可能的。尽管其他高斯函数在局部区域具有显著振幅的尾巴,但仅保留局部高斯函数和相关点的效果很好。我们证明,从从局部拟合获得的势能值,可以计算出准确的甲醛能级。在一次计算中,通过对小于m=400的矩阵进行反演,得到N=120,000个拟合点的势值。局部思想将代价从N3降低到T(m3+N),其中T是期望的潜在点的数量。
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引用次数: 2
A study of the local to normal mode transition in pyramidal molecules and their vibrational description in terms of an algebraic model 锥体分子的局域模到正态模的跃迁及其在代数模型中的振动描述
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-03-01 DOI: 10.1016/j.jms.2023.111775
O. Guzmán-Juárez, E. Suárez, R. Lemus

First a new perspective to study the local to normal mode transition in the series of pyramidal molecules is presented. Then a full study of the vibrational excitations of the series of pyramidal molecules XH3 with X = P, As and Sb is given in the framework of a polyad-conserving Hamiltonian of a set of interacting Morse oscillators. The model is based on an algebraic representation of the Hamiltonian in terms of su(2)-operators. A simple Hamiltonian including both Fermi and Darling–Dennison interactions is considered. For the PH3 molecule a fit involving 64 experimental energies up to polyad 8 (energies up to 9054 cm−1) provided an rms=1.74cm1 using a Hamiltonian with 14+3(frozen) parameters. For the AsH3, with 35 experimental energies the deviation obtained was rms=2.50cm1 with 10+4 parameters. Lastly, for the SbH3 molecule, considering 23 experimental energy levels an rms=0.86cm1 was reached with 9+6 parameters. In all cases the polyad scheme P=2(ν1+ν3)+ν2+ν4 was considered.

首先提出了研究锥体分子系列中局域模向正态模跃迁的新视角。然后在相互作用的莫尔斯振子集的多极守恒哈密顿量的框架下,对X = P, As和Sb的锥体分子系列XH3的振动激发进行了全面的研究。该模型基于用su(2)-算子表示的哈密顿函数的代数表示。考虑一个简单的哈密顿量,包括费米和达林-丹尼森相互作用。对于PH3分子,使用具有14+3(冻结)参数的哈密顿量,拟合涉及64个实验能量,最高可达polyad 8(能量高达9054 cm−1),提供rms=1.74cm−1。对于AsH3,在35个实验能量下,在10+4个参数下,得到的偏差为rms=2.50cm−1。最后,对于shbh3分子,考虑23个实验能级,9+6个参数的rms=0.86cm−1。在所有情况下,都考虑了多边形格式P=2(ν1+ν3)+ν2+ν4。
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引用次数: 0
Gas phase electronic spectra of xylene-water aggregates 二甲苯-水团聚体的气相电子能谱
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-03-01 DOI: 10.1016/j.jms.2023.111761
Jack E. Fulker , Alejandro Gutiérrez-Quintanilla , Wendy A. Brown , Gustavo A. Pino , Antoine Hacquard , Ana Niedojadlo , Jennifer A. Noble

Using a jet spectroscopy molecular beam setup, gas phase electronic spectra of three xylene isomers (para, meta and ortho) have been collected for the neutral monomer species as well as for their clusters with one and two water molecules. Scans at a resolution of ±0.02 nm showed a clear 0–0 transition for each xylene isomer as well as the vibronic progression. The spectra were assigned with the help of Franck–Condon factor PGOPHER simulations from theoretical studies at the CAM-B3LYP/aug-cc-pVDZ level of theory. The vibronic spectra of the xyleneH2O and xylene(H2O)2 clusters showed broad features between 36800–38400 cm−1 (260–272 nm) for p- and m-xylene, while the water clusters of o-xylene gave more defined bands. The separation of the vibronic bands in the clusters mirrors the progression of the neutral monomers implying that, for the S1 S0 transition, it is the same vibrational modes that are involved in the monomer as in the clusters with water. Both the separation and the spectral width of the bands can be explained by the calculated differences in geometries of the clusters in the ground and first electronic excited states.

利用射流光谱分子束装置,收集了中性单体及其含一个和两个水分子簇的三种二甲苯异构体(对位、间位和邻位)的气相电子能谱。在±0.02 nm分辨率下的扫描显示每个二甲苯异构体的0-0转变以及振动级数。在CAM-B3LYP/aug-cc-pVDZ理论水平的理论研究中,利用Franck-Condon因子PGOPHER模拟对光谱进行了分配。对二甲苯和间二甲苯的振谱在36800 ~ 38400 cm−1 (260 ~ 272 nm)之间,邻二甲苯的振谱在36800 ~ 38400 cm−1 (260 ~ 272 nm)之间,而邻二甲苯的水团簇具有更明确的谱带。团簇中振动带的分离反映了中性单体的进展,这意味着,对于S1←S0转变,单体所涉及的振动模式与含有水的团簇相同。这两个波段的分离和光谱宽度都可以用计算出的团簇在基态和第一电子激发态的几何差异来解释。
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引用次数: 0
Infrared spectra of gaseous peroxychloroformyl radical ClC(O)OO: A key intermediate in the conversion of CO to CO2 in the Venus atmosphere 气态过氧化氯甲酰基自由基ClC(O)OO的红外光谱:金星大气中CO转化为CO2的关键中间体
IF 1.4 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-03-01 DOI: 10.1016/j.jms.2023.111771
Bedabyas Behera , Yuan-Pern Lee

The peroxychloroformyl radical, ClC(O)OO, was proposed to play a critical role in the catalytic conversion of CO to CO2 in the atmosphere of Venus, but direct spectral characterization of this species in the gaseous phase is lacking. Photolysis of a mixture of (ClCO)2 and O2 near 50 Torr with laser light at 248 nm produced absorption bands of CO, CO2, Cl2CO, and transient absorption bands that can be assigned to ClCO, trans-ClC(O)OO, and cis-ClC(O)OO. Bands at 937, 1014, and 1902 cm−1 are assigned to the OCO bending (ν3), overtone of C−Cl stretching (2ν5), and C=O stretching (ν1) modes of trans-ClC(O)OO. According to rotational contour simulations with PGOPHER, two bands ∼ 1883 and ∼ 1928 cm−1 also contribute to the band near 1902 cm−1; they might be assigned to the ν2 + ν8 + ν9 mode of cis-ClC(O)OO and the ν2 + ν4 mode of trans-ClC(O)OO, whereas the band near 937 cm−1 might have contribution from the 2ν6 (overtone of OC=O bending) mode of cis-ClC(O)OO near 928 cm−1. Bands at 964, 1110, and 1837 cm−1 are assigned to the anti-phase C–O and O–O stretching (ν3), O–O stretching (ν2), and C=O stretching (ν1) modes of cis-ClC(O)OO. The band near 1837 cm−1 might have contribution from the 2ν3 mode of trans-ClC(O)OO and cis-ClC(O)OO near 1829 and < 1829 cm−1, respectively. From the temporal evolution of CO and CO2, we confirmed that the addition of O2 to the photolyzed (ClCO)2 system to form ClC(O)OO enhanced the formation of CO2, supporting the proposed catalytic mechanism.

过氧氯甲酰基自由基ClC(O)OO被认为在金星大气中CO转化为CO2的催化过程中起关键作用,但缺乏对该物种气相的直接光谱表征。(ClCO)2和O2的混合物在50torr附近用激光在248 nm处光解产生CO、CO2、Cl2CO的吸收带,以及ClCO、trans-ClC(O)OO和顺式clc (O)OO的瞬态吸收带。937,1014和1902 cm−1波段被分配给反式clc (O)OO的OCO弯曲(ν3), C−Cl拉伸的泛音(2ν5)和C=O拉伸(ν1)模式。根据PGOPHER的旋转等高线模拟,两个波段~ 1883和~ 1928 cm−1也贡献了1902 cm−1附近的波段;它们可能属于顺式clc (O)OO的ν2 + ν8 + ν9模式和反式clc (O)OO的ν2 + ν4模式,而937 cm−1附近的波段可能来自928 cm−1附近的顺式clc (O)OO的2ν6 (OC=O弯曲的泛音)模式。964、1110和1837 cm−1处的波段被分配给顺式clc (O)OO的反相C - O和O - O拉伸(ν3)、O - O拉伸(ν2)和C=O拉伸(ν1)模式。1837 cm−1附近的波段可能来自1829和<附近的反式clc (O)OO和顺式clc (O)OO的2ν3模式;分别为1829 cm−1。从CO和CO2的时间演化中,我们证实了O2加入到光解(ClCO)2体系中形成ClC(O)OO促进了CO2的形成,支持了所提出的催化机制。
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引用次数: 0
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Journal of Molecular Spectroscopy
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