H atom tunneling

Gamarnik A, Johnson B A and Garcia-Garibay M A 1998 Effect of solvents on the photoenolization of omicron-methylanthrone at low temperatures. Evidence for H-atom tunneling from nonequilibrating triplets J. Rhys. Chem. A102 5491... 

In the H/D isotope effect case, m2/wi = 2, the interval of temperatures between re(H) and re(D) is wider than AT as predicted by (2.19), and in this interval the H atom tunnels while the D atom classically overcomes the barrier. For this reason the isotope effect becomes several orders larger than that described by (2.70). At 7" < 7 c(m2) the tunneling isotope effect becomes independent of the temperature. 

C Kinetic Deuterium Isotope Effects and H Atom Tunnelling in the... 

Convincing experimental evidence for QMT s involvement in any intermolecular H-atom abstraction in the liquid phase had not been presented and represented an interesting challenge in the 1980s (and to this day, so far as the author is aware). If H-atom tunneling is to be identified in the generalized reaction (28.18)... 

Corrections for H-atom tunnelling are applied for the intramolecular hydrogen atom transfer reactions of the transition state structures using Wigner 2" order correction [198]. In this study the rate constants of three of our calculated transition states, TSPH OOH and TSC C4DO and TSCDCC DO identified in Table 6.3, are corrected for H-atom tunnelling. 

One of the most thoroughly studied examples of intramolecular tunneling is isomerization of malonaldehyde involving the transfer of an H atom in an OH O fragment. 

The diffusion coefficient corresponding to the measured values of /ch (D = kn/4nRn, is the reaction diameter, supposed to be equal to 2 A) equals 2.7 x 10 cm s at 4.2K and 1.9K. The self-diffusion in H2 crystals at 11-14 K is thermally activated with = 0.4 kcal/mol [Weinhaus and Meyer 1972]. At T < 11 K self-diffusion in the H2 crystal involves tunneling of a molecule from the lattice node to the vacancy, formation of the latter requiring 0.22 kcal/mol [Silvera 1980], so that the Arrhenius behavior is preserved. Were the mechanism of diffusion of the H atom the same, the diffusion coefficient at 1.9 K would be ten orders smaller than that at 4.2 K, while the measured values coincide. The diffusion coefficient of the D atoms in the D2 crystal is also the same for 1.9 and 4.2 K. It is 4 orders of magnitude smaller (3 x 10 cm /s) than the diffusion coefficient for H in H2 [Lee et al. 1987]. 

In dimers composed of equal molecules the dimer components can replace each other through tunneling. This effect has been discovered by Dyke et al. [1972] as interconversion splitting of rotational levels of (HF)2 in molecular beam electric resonance spectra. This dimer has been studied in many papers by microwave and far infrared tunable difference-frequency laser spectroscopy (see review papers by Truhlar [1990] and by Quack and Suhm [1991]). The dimer consists of two inequivalent HE molecules, the H atom of one of them participating in the hydrogen bond between the fluorine atoms (fig. 60). PES is a function of six variables indicated in this figure. 

Fig. 32. Packing relations and steric fit of the 26 acetic acid (1 1) clathrate (isomorphous with the corresponding propionic acid clathrate of 26)1U- (a) Stereoscopic packing illustration acetic acid (shown in stick style) forms dimers in the tunnel running along the c crystal axis of the 26 host matrix (space filling representation, O atoms shaded), (b) Electron density contours in the plane of the acetic acid dimer sa First contour (solid line) is at 0.4 eA" while subsequent ones are with arbitrary spacings of either 0.5 and 1 eA 3. Density of the enclosing walls comes from C and H atoms of host molecules.

Kawai H, Yeo YK, Saeys M, Joachim C (2010) Conductance decay of a surface hydrogen tunneling junction fabricated along a Si(001)-(2xl)-H atomic wire. Phys Rev B 81 195316... 

In Chapter 8, Stavola and Pearton discuss the local vibrational modes of complexes in Si that contain hydrogen or deuterium. They also show how one can use applied stress and polarized light to determine the symmetry of the defects. In the case of the B-H complex, the bond-center location of H is confirmed by vibrational and other measurements, although there are some remaining questions on the stress dependence of the Raman spectrum. The motion of H in different acceptor-H complexes is discussed for the Be-H complex, the H can tunnel between bond-center sites, while for B-H the H must overcome a 0.2 eV barrier to move between equivalent sites about the B. In the case of the H-donor complexes, instead of bonding directly to the donor, H is in the antibonding site beyond the Si atom nearest to the donor. The main experimental evidence for this is that nearly the same vibrational frequency is obtained for the different donor atoms. There is also a discussion of the vibrational modes of H tied to crystal defects such as those introduced by implantation. The relationship of the experimental results to recent theoretical studies is discussed throughout. 

Fig. 10.1 Zero point energy diagrams, (a) An H or D atom attacking an H2 molecule. The TST isotope effect is negative (inverse, kn > kn) because there is no zero point isotope effect in the ground state, and tunneling is ignored in the TST approximation, (b) An H atom attacking either an H2 or D2 molecule. The isotope effect calculated in the TST approximation is positive (normal, kH > kn) because the zero point isotope effect in the ground state is larger than that in the transition state.

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