H3 anc. Millikan
INTRODUCTION : QUANTIFICATION DE LA CHARGE ELECTRIQUE. Pour son expérience de la goutte d'huile Millikan a établi un champ électrique vertical entre deux.
Revisited study of the ro-vibrational excitation of H 2 by H: towards a
1 juin 2022 These data were obtained from an accurate H3 interaction ... However Millikan & White (1963) and Millikan (1964) found that the vibrational.
Forcing in Ramsey theory
19 juin 2019 The Halpern-Läuchli and Milliken Theorems and other related Ramsey ... For any finite coloring of the vertices
Maximum likelihood estimation of haplotype effects and haplotype
20 oct. 2005 The associations between haplotypes and disease phenotypes offer valuable clues ... Study [Newman et al. 1995; Millikan et al.
Maximum likelihood estimation of haplotype effects and haplotype
20 oct. 2005 The associations between haplotypes and disease phenotypes offer valuable clues ... Study [Newman et al. 1995; Millikan et al.
Etude comparative de récepteurs aux œstrogènes: Aspects
6 avr. 2010 archive for the deposit and dissemination of sci- ... sein de cette structure et localisé près de l'hélice-? H3. Le LBD du récepteur aux ...
Les Benzo[e]pyridoindoles une nouvelle famille dinhibiteurs de
4 oct. 2012 and will direct future synthesis. We focused on compound C4 that induced an unusual profile of Histone H3 phosphorylation since it prevents ...
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The Ramsey theory of the universal homogeneous triangle-free graph
22 nov. 2019 which code H3 and the development of their Ramsey theory. Overview ... an analogue of Milliken's Theorem for strong coding trees.
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9 mai 2008 (H3 residues 1–24 ER residues 294–314) and three recombinant purified ... Livasy
I OBJECTIVE OF THE EXPERIMENT - EPFL
The objective of this experiment is to recreate Millikan’s experiment in order to show the quantification of charges II PRINCIPLES In 1910 R A Millikan successfully proved the quantum occurrence of small amounts of electricity with his famous oil droplet method
Images
Millikan Assurez-vous que les deux conducteurs de terre sont connectés l'un à l'autre – Fournir une tension au dispositif d'éclairage de l'appareil Millikan – Enfin alimentez les chronomètres et l'unité d'alimentation Millikan à l'aide des adaptateurs secteur fournis
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MNRAS453,810-818 (2015)
Revisited study of the ro-vibrational excitation of H 2 by H: towards a FrancLOMC - UMR 6294, CNRS-Universit
Accepted 2015 July 22. Received 2015 July 20; in original form 2015 May 14ABSTRACT
We report nearly exact quantum time-independent calculations of rate coefficients for the ?22 000 K) for Key words:Molecular data-Molecular processes-scattering.1 INTRODUCTION
Modelling of astrophysical media relies on modelling microscopic processes that may lead to (de-)excitation of atomic and molecular
?20).EvenifH , ...) are absent in the early Universe. Prior to that red shift, PuyI=1) (hereafter o-H
I=0) (hereafter p-H
+HE-mail:
2015 The Author
Ro-vibrational excitation of H
2 by H811 v=0, j=0) and o-H v=0,j=1) so that it is not possible to use them in astrophysical modelling of warm media.T<1500 K). Their results are in very good agreement with the available experimental data. However, in
ab initiopotential energy surface. The paper is organized as follows. Section 2 provides a brief description
2 SCATTERING CALCULATIONS
In our calculations, we use the H
ab initiomethods and proved to be very successful in the calculation of H+D +HA+BC→A+BC) and reactive (e.g.A+BC→AB+CorAC+B) processes obtained from such wavefunctions (Truhlar
j,k(the rotational angular momentum of the H v(the vibrational quantum number of the H +H v,j)→H+H v ,j →v j ?(E c 2 vj (2j+1) Jkk (2J+1) ?S (E,vjk→v j k 2S-matrix for the H+H
|S (E,vjk→v j k 2 |S (E,vjk→v j k )-S (E,vjk→v j k 2 ,ifj,j even, |S (E,vjk→v j k )+S (E,vjk→v j k 2 +2|S (E,vjk→v j k 2 ,ifj,j odd, 3|S (E,vjk→v j k 2 ,ifjeven,j odd, |S (E,vjk→v j k 2 ,ifjodd,j even, (2) S andS are the nonreactive and reactiveS-matrix elements, respectively. k denotes the initial wavevector. The calculations were carried out on a grid of total energiesE: E=E c (3) E c vj is the ro-vibrational energy of the H ?15 000 K). This effect can453,810-818 (2015)
812F. Lique
be more important for differential cross-sections and at very high collisional energies. Hence, the accuracy of our calculations may slightly
vj <22000 K. A large number of closed ro-vibrational channels of the diatomic moiety ?45 000 K and (b) levelsjof the diatomic moiety is greater than 24. Converged integral reactive cross-sections could be obtained by
?36 000 K. →v j ?(E c k →v j ?(T)= 8πμk
3 T 3 ?1 0 →v j ?(E c E c -Ec/k B T dE cμis the reduced mass of H
-Handk B3 RESULTS
We first present the results for the pure rotational excitation. Fig. +D3.2 Ro-vibrational (de-)excitation
Fig.?vtransition, the rate coefficients slightly increase with increasing vibrational states. This result is consistent with previous
?vtransitions. This is in453,810-818 (2015)
Ro-vibrational excitation of H
2 by H813 Figure 1.Temperature dependence of the rate coefficients for the rotational de-excitation of H v,j)tofinallevel(v ,j +H v≥1). v,j=0) molecule will preferentially form a H ?j≥8 can be efficient. Such an effect has already be found by Wrathmall & Flower3.3 Comparison with previous experimental and theoretical results
It is then interesting to compare our new collisional data with those previously computed. As mentioned in the introduction, the most
453,810-818 (2015)
814F. Lique
Figure 2.Temperature dependence of the rate coefficients for rotational de-excitation of H v,j)to v ,j ?j=2 are mainly responsible for the cooling of the early Universe. ?vof the ro-vibrational transition increases (not453,810-818 (2015)
Ro-vibrational excitation of H
2 by H815Figure 3.Temperature dependence of the state-to-state rate coefficients for the ro-vibrational de-excitation of p-H
j=0) induced by collisions with H. From v,j)tofinallevel(v ,j Table 1.Comparison between present rate coefficients and those of v=0→ v0) to rotationally inelastic transitions. The rates are in units of cm
-1 j=2→j0j=4→j
0j=3→j
1j=5→j
1 T(K) -14) 6.6(-14) 8.7(-17) 1.0(-16) 2.5(-14) 2.6(-14) 1.3(-16) 1.7(-16) -14) 7.9(-14) 4.5(-16) 6.0(-16) 3.7(-14) 4.1(-14) 6.5(-16) 1.2(-15) -14) 9.1(-14) 1.9(-15) 2.9(-15) 5.8(-14) 6.8(-14) 3.2(-15) 6.6(-15) -13) 2.2(-13) 2.2(-14) 3.1(-14) 2.5(-13) 3.2(-13) 3.5(-14) 7.9(-14) -12) 2.0(-12) 3.8(-13) 4.4(-13) 3.2(-12) 3.7(-12) 6.6(-13) 1.2(-12) -11) 9.1(-12) 2.4(-12) 2.2(-12) 1.8(-11) 1.8(-11) 4.8(-12) 6.5(-12) -11) 1.6(-11) 4.8(-12) 4.0(-12) 3.3(-11) 3.1(-11) 9.9(-12) 1.2(-11) -11) 2.6(-11) 8.1(-12) 6.5(-12) 5.4(-11) 5.1(-11) 1.6(-11) 1.8(-11) +H v=1)→ H+H v0) process at room temperature. The rotational structure of H
v=1→v0 vibrational relaxation. Boltzmann averaging was done using partition function
Qof the first nine rotational states (j=0-8) of the H v=1) molecule: k =1→v=0 8 j=0 12 j 0 w (2j+1)e =1,j =1,j→v 0,j Q j (2j+1)e =1j (5)453,810-818 (2015)
816F. Lique
Figure 4.Comparison between present (solid lines) and v,j)tofinallevel(v ,jTable 2.Room temperature rate coefficients for H
v=1)+H→H v0)+H process.
-13 -1±1.5
=1j is the energy of thev=1,jrotational levels andw j is a degeneracy weight, which is equal to 1 and 3 for para- and ortho-H453,810-818 (2015)
Ro-vibrational excitation of H
2 by H8174 DISCUSSIONS AND CONCLUSIONS
ACKNOWLEDGEMENTS
This research was supported by the CNRS national program Physique et Chimie du Milieu Interstellaire. We acknowledge fruitful discussions
REFERENCES
Aoiz F. J., Ba
453,810-818 (2015)
818F. Lique
Neufeld D. A., Lepp S., Melnick G. J., 1995, ApJS, 100, 132SUPPORTING INFORMATION
Additional Supporting Information may be found in the online version of this article:Rates_H_H2.dat
453,810-818 (2015)
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