Coulomb radius

Evaluation of the polarization energies for the multi-centered QM system therefore only requires the derivation of values for ak and ak,. In the case of a single atom of charge qk, ak can be approximated by a coulomb radius chosen such that ... 

Coulomb integral, (see Two-electron integral) Coulomb radius. 403-404 Coulomb s law. 2. 14. 37. 402 Counterpoise coiTection. 19.5 Coupled-cluster theory. 224-227, 229-237,... 

The classic treatment of carrier recombination can be related to the notion of the recombination time. The recombination time represents a combination of the carrier motion time (im), i.e. the time to get the carriers within capture radius (it is often assumed to be the Coulombic radius rc = e2/An o kT), and the elementary capture time (tc) for the ultimate recombination event (actual annihilation of charge carriers), tree1 = m1 -I Tc 1 (cf. Fig. 3). Following the traditional description of recombination processes in ionized gases, a Langevin-like [22] and Thomson-like [23] recombination can be defined if Tcsolid-states physics, these two cases have been distinguished... 

It must be stressed that the exchange of protons between adjacent groups has no surface-enhanced directionality. A proton dissociating from one moiety can reach either the bulk or the nearby surface moiety, which sets a limit to the effectiveness of the proton antenna. Even with transfer efficiency as high as 90%, after n = 9 passages the probability that the proton will remain on the surface dwindles to e l. Because the length of a Coulomb radius on the surface is Z — 10 A, the dimension of the effective search distance is d = ly/n = 30 A. 

This equation is useful for determining the Coulomb radius ("distance of closest approach") of nuclei for conservation of momentum see (12.14 and 12. IS). 

We learned in Chapter 3 that experimentally, the nuclear radius is given by r = r A X 10 m. Thus far we have discussed three different kinds of nuclear radius constants — Tg, fj, and r . In addition we have treated the target and the projectile as points in space. Experiments have indicated that the values of are approximately 1.1 for the radius r of constant nuclear density, 1.3 for the Coulomb radius r, and 1.4 for the nuclear radius r, which includes surface effects. 

CP states or geminate pairs) Eqp = energy, Ucp = Coulomb binding energy, Q = dissociation probability of the CP states, r is the spacing of the molecule-ions A/T and M in the CP state, is the Coulomb radius kT = e jAnssQrc. c Ionised states Mp and Mp... 

Equation [19] describes a sphere with radius Tq such that if the charge carrier appears inside the sphere, it will annihilate with the charge of opposite sign placed in the sphere center. For the assumptions that r ro where fc is the Coulomb radius, and taking into account conditions [19] the solution of eqns [16] and [17] gives the dissociation probability (H) ... 

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