Effects of Collisional and Vibrational Velocity on Proton and Deuteron Transfer in the Reaction of HOD+ with CO

2012 ◽  
Vol 117 (6) ◽  
pp. 1083-1093 ◽  
Author(s):  
David M. Bell ◽  
Scott L. Anderson
Author(s):  
G Mazzeo ◽  
MN Ichchou ◽  
G Petrone ◽  
O Bareille ◽  
S De Rosa ◽  
...  

In the wind tunnel facility, a test structure is often used for measuring its vibrational response to the aerodynamic excitation. A support is needed to sustaining the structure and it is mandatory that this support does not influence the vibrational energy to be measured. To this aim, the maximum amount of energy decoupling between the structure and the support is desired. This work is focused around a quick method to estimate this decoupling by using simplified models for the Turbulent Boundary Layer (TBL) excitation and for the structural response. Specifically, the Equivalent Rain-on-the-roof excitation is invoked with a Statistical Energy Analysis model for the structure. Some simple design rules are proposed and based on little information leading to foresee the difference of vibrational velocity levels between the two structural systems. A simplified test-case is used for the first investigations and a complex structure is finally conceived thinking to vibroacoustic measurements in a large wind tunnel facility. Although some results are largely expected, the global approach is promising.


2021 ◽  
Author(s):  
Andrey Chernov

Abstract In this study, a new concept is introduced into physics - gravitational cells. The gravitational cell hypothesis was organically integrated into string theory. As a result, using the Schwarzschild radius formula and the Coulomb formula, a gravitational formula in the region of black holes was obtained on the basis of two fundamental constants, and its exact value was determined. The value of the "usual" gravitational constant was also confirmed and the mass of the gravitational cell was obtained. The introduction of the hypothesis of gravitational cells into string theory made it possible to apply Planck's formula to gravitational interaction. As a result, a formula for the energy of a gravitational quantum and a formula for the vibrational velocity of a gravitational string were obtained. On this basis, the formula for the mass of the electron was obtained and its value was calculated, which coincided with the experimental mass of the electron. The exact minimum distance of the gravitational interaction was determined by the formula for the vibrational velocity of the gravitational string. This calculated minimum distance completely coincided with the known experimental data obtained when determining the Casimir effect (force).


2021 ◽  
Author(s):  
Andrey Chernov

Abstract In this study, a new concept is introduced into physics - gravitational cells. The gravitational cell hypothesis was organically integrated into string theory. As a result, using the Schwarzschild radius formula and the Coulomb formula, a gravitational formula in the region of black holes was obtained on the basis of two fundamental constants, and its exact value was determined. The value of the "usual" gravitational constant was also confirmed and the mass of the gravitational cell was obtained. The introduction of the gravitational cell hypothesis into string theory made it possible to apply Planck's constant to gravitational interaction. As a result, a formula for the energy of a gravitational quantum and a formula for the vibrational velocity of a gravitational string were obtained. On this basis, the formula for the mass of the electron was obtained and its value was calculated, which coincided with the experimental mass of the electron. According to the formula for the vibrational velocity of the gravitational string, the formula for the minimum distance of the gravitational interaction was obtained and this distance was calculated. This minimum distance of the gravitational interaction with absolute accuracy coincided with the known experimental data obtained when determining the Casimir effect (force). Another great scientific result is the determination by a new formula of the minimum distance of the onset of the action of Coulomb forces between electric 3 charges and obtaining the minimum length of a standing electric wave between charges.


2021 ◽  
Author(s):  
Andrey Chernov

Abstract This study introduces scientific concepts such as gravitational cells and gravitational strings. Gravitational cells and gravitational strings have been organically built into the concept of a gravitational field. This innovation has led to significant scientific results. These results include obtaining the formula for the gravitational constant, the formula for the electron mass, the formula for the mass of the hydrogen atom, the formula for the minimum distance of the action of the gravitational field, etc. All formulas were confirmed by experimental data. In this work, the Planck formula was successfully applied to the gravitational field. A distinctive feature of this study is the fact that most of the new formulas contain only fundamental physical constants (without introducing additional indicators and proportionality coefficients). In this work, the concept of a gravitational quantum is introduced and its value is determined. Also, a new physical constant was obtained - the mass of the gravitational cell of a black hole.


2021 ◽  
Author(s):  
Andrey Chernov

Abstract This study introduces scientific concepts such as gravitational cells and gravitational strings. Gravitational cells and gravitational strings have been organically built into the concept of a gravitational field. This innovation has led to significant scientific results. These results include obtaining the formula for the gravitational constant, the formula for the electron mass, the formula for the mass of the hydrogen atom, the formula for the minimum distance of the action of the gravitational field, etc. All formulas were confirmed by experimental data. In this work, the Planck formula was successfully applied to the gravitational field. A distinctive feature of this study is the fact that most of the new formulas contain only fundamental physical constants (without introducing additional indicators and proportionality coefficients). In this work, the concept of a gravitational quantum is introduced and its value is determined. Also, a new physical constant was obtained - the mass of the gravitational cell of a black hole.


1986 ◽  
Vol 64 (6) ◽  
pp. 1021-1025 ◽  
Author(s):  
Arnold Jarczewski ◽  
Grzegorz Schroeder ◽  
Przemyslaw Pruszynski ◽  
Kenneth T. Leffek

Rate constants for the proton and deuteron transfer from 1-(4-nitrophenyl)-1-nitroethane to cesium n-propoxide in n-propanol have been measured under pseudo-first-order conditions with an excess of base for four temperatures between 5 and 35 °C. Using literature values of the fraction of cesium n-propoxide ion pairs that are dissociated into free ions, separate second-order rate constants for the proton and deuteron transfer to the ion pair and to the free ion have been calculated. The cesium n-propoxide ion pair is about 2.8 times more reactive than the free n-propoxide ion. The primary kinetic isotope effects for the two reactions are the same (kH/kD = 6.1–6.3 at 25 °C) within experimental error. The enthalpy of activation is smaller for the ion-pair reaction and the entropy of activation more negative than for the free-ion reaction. For proton transfer, ΔH±ion pair = 8.3 ± 0.2 kcal mol−1, ΔH±ion = 9.6 ± 1.0 kcal mol−1, ΔS±ion pair = −12.3 ± 0.6 cal mol−1 deg−1, ΔS±ion = −10.1 ± 3.4 cal mol−1 deg−1. The greater reactivity of the ion pair relative to the free ion is interpreted in terms of the weaker solvation shell of the ion pair in the initial state.


2019 ◽  
Vol 990 ◽  
pp. 149-161
Author(s):  
Neha Rani ◽  
Pardeep Singh ◽  
Monika Singh ◽  
Ravinder Kumar ◽  
Rajiv Kumar ◽  
...  

1981 ◽  
Vol 59 (21) ◽  
pp. 3034-3038 ◽  
Author(s):  
Kenneth T. Leffek ◽  
Przemyslaw Pruszynski

4-Nitrophenylnitromethane reacts with 2,7-dimethoxy-1,8-bis(dimethylamino)naphthalene in acetonitrile in a bimolecular proton transfer, which shows a primary deuterium isotope effect, kH/kD = 12.2 at 25 °C. The large isotope effect on the enthalpy of activation, (ΔHD≠ – ΔHH≠) = 4.6 ± 0.3 kcal mol−1 is consistent with a significant contribution of proton tunnelling to the reaction rate of the protium substrate.The analogous reaction of 1-(4-nitrophenyl)-1-nitroethane with the same base in acetonitrile gives contrasting kinetics and reaction parameters. The reaction is first order, showing no dependence on base concentration. While the isotope effect kH/kD = 9.3 at 25 °C, the enthalpy of activation difference (ΔHD≠ – ΔHH≠) is only 0.5 ± 0.1 kcal mol−1. It is concluded that the 1-(4-nitrophenyl)-1-nitroethane undergoes a slow dissociation, with a very small dissociation constant, followed by a fast association with the base to yield the carbanion ion-pair.


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