scholarly journals Linear and bent triatomic molecules are not qualitatively different!

2020 ◽  
Vol 98 (6) ◽  
pp. 506-511 ◽  
Author(s):  
Per Jensen

I, and other authors, have discussed in several recent publications that “linear” triatomic molecules (defined as having linear equilibrium structures) are necessarily observed as being bent on ro-vibrational average. We have demonstrated this theoretically by calculations of the rotation–vibration expectation values, [Formula: see text], where [Formula: see text] is the bond angle supplement, [Formula: see text] being the instantaneous value of the bond angle of the triatomic molecule A–B–C. Direct experimental evidence of bent average structures has been obtained by other authors in Coulomb explosion imaging experiments, and indirect evidence from re-interpretation of experimentally derived rotational constant values. In spite of a rather significant amount of evidence in support of the bent average structures, the idea has been heavily criticized. In the present work I discuss in more detail some of the arguments for the bent average structures put forward in previous papers, and I hope to correct and clarify some of the misunderstandings leading to the criticisms. Part of the criticism originates in a widespread, but fallacious, belief among spectroscopists that linear and bent chain molecules have qualitatively different energy-level and spectral intensity patterns. This is not true. One can view the linear-molecule energy level and spectral patterns as limiting cases of the bent-molecule ones.

2020 ◽  
Vol 34 (06) ◽  
pp. 2050036
Author(s):  
Xin Tan ◽  
Zhixin Liu ◽  
Xuejie Liu ◽  
Yuan Ren ◽  
Shiyang Sun ◽  
...  

A complete theory is the guide and explanation of the experiment. According to the first principle, the stable structure of Ge vacancy color center (GeV) is the double vacancy center structure by using the constructed GeV color center supercell. The covalent radius and bond angle of GeV are explored by analyzing the microstructures. The electronic structure of GeV color center is calculated, and the charge transfers of GeV color center are explained, thereby demonstrating the existence of stable bonds. The principle of the energy-level transition of the GeV color center in terms of light emission is described. The effect of each element and energy level orbital is illustrated by the density-of-states diagram.


2021 ◽  
pp. 1-3
Author(s):  
Per Jensen

In Amano’s comment on Jensen’s paper, we notice two important misconceptions: (i) Amano overlooks the fact that all features special for a linear molecule originate in the double degeneracy in the bending motion (i.e., in the fact that for a linear triatomic molecule, the description of the bending motion must necessarily also involve the rotation about the axis of least moment of inertia, the a axis, which becomes the molecular axis at equilibrium), and (ii) the expectation value generated from the wavefunction gives an “average” value of the relevant observable (coordinate); the expectation value can, in principle, be obtained experimentally as the average of very many repeated measurements of the observable. In our previous papers on this subject, in particular the paper by Jensen discussed here, we have attempted to explain our results as coherently and “pedagogically” as we can, starting with the fundamental principles of quantum mechanics, and we encourage interested readers to refer to our previous works on the subject. Thus, we maintain our assertion that the vibrationally averaged structure of a linear molecule is observed as being bent, as we have demonstrated previously from both theoretical and experimental viewpoints.


2021 ◽  
Vol 04 ◽  
Author(s):  
Chaitrali M Bidikar ◽  
Poonam R Inamdar

Background: Natural polymers are fascinating category of small chain molecules originating for the natural resources, and few examples include Sodium Alginate and Xanthan Gum which are water-soluble in the nature; used for mainly food packaging, biomedical and pharmaceutical applications. In proposed research work, an effort was made to overcome the polymer challenges emerging from the development of polymer blends, as the miscibility between polymers, is a vital aspect. Objective: This work focuses on the miscibility studies of natural origin polymers. In regards to that, Sodium Alginate/ Xanthan Gum blends were prepared in variable concentrations in aqueous medium and it was utilized for viscosity analysis, FTIR, Ultraviolet spectroscopic studies at variable temperatures. Methods: It was observed that the developed, Sodium Alginate / Xanthan Gum blends are miscible with each other at most of the temperatures (at 20°C, 40°C and 60°C) considering their viscosity parameters, FTIR and UV spectral data. Results: Viscosity studies revealed that the miscibility windows of polymeric ratio increases as the temperature increases whereas FTIR spectral patterns exhibited that the composition having 60:40 ratio of polymers exhibits high intensity stretches and represented to be miscible when compared to other combinations. Conclusion: The present study has reported the simple and efficient method in exploration of the miscibility windows of Sodium alginate and Xanthan gum blend.


1989 ◽  
Vol 54 (5) ◽  
pp. 1209-1218 ◽  
Author(s):  
Per Jensen

The Morse oscillator-rigid bender internal dynamics (MORBID) Hamiltonian for triatomic molecules (Jensen P.: J. Mol. Spectrosc. 128, 478 (1988)) has been used to refine the potential energy function for the X1*Sg+ electronic ground state of C3 by fitting to experimental data. In accordance with previous ab initio calculations by Kraemer W. P., Bunker P. R., and Yoshimine M. (J. Mol. Spectrosc. 107, 191 (1984)), C3 is found to have a bent equilibrium structure. The MORBID calculation reported here yields a barrier to linearity of 16.5(3.6) cm-1 and an equilibrium bond angle of 162.5° (1.0°) with one standard error given in parentheses.


1994 ◽  
Vol 72 (11-12) ◽  
pp. 1251-1264 ◽  
Author(s):  
F. Stroh ◽  
M. Winnewisser ◽  
B. P. Winnewisser

The high-resolution gas phase Fourier transform infrared spectrum of the linear molecule isocyanogen, CNCN, has been measured in the 2000–2400 cm−1 region. The C≡N stretching band systems ν1 and ν2 located around 2302.0 and 2059.7 cm−1, respectively, were observed with an unapodized resolution of 0.003 cm−1. In the analysis of these band systems hot bands originating from the states with up to 3 quanta of ν5, the singly excited ν4, and the combination state (ν4 ν5) = (11) were assigned. Effective spectroscopic constants of the numerous subbands as well as constants of an effective Hamiltonian are presented. An analysis of rotation–vibration interaction in CNCN as well as a complete valence force field are presented. The equilibrium rotational constant Be of CNCN was found to be 5172.66 (18) MHz, the diagonal valence force constants determined for C=N–C≡N are for the Σ modes (in aJ/Å2): fC=N− = 15.1, f=N−C≡ = 8.3, f−C=N = 17.1, and for the Π modes (in aJ): fC=N−C≡ = 0.141, f=N−C≡N = 0.361.


2001 ◽  
Vol 99 (1) ◽  
pp. 65-76 ◽  
Author(s):  
Yiping Tang, Zhaohui Wang, Benjamin C.-Y.

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