Dimensionless manifolds

External humidification, 12 213 External interface management, in technology transfer, 24 366 External loop airlift bioreactors, 1 741, 742 Externally manifolded fuel cells, 12 200 External magnetic field, 23 835 External mass transfer, 15 728-729 External mass transfer resistance dimensionless parameter and,... 

The model diabatic vibronic Hamiltonian of the Do — Di — D2 electronic manifold can be expressed in terms of dimensionless normal coordinates of N as [20]... 

We adopt here the common spectroscopic notation and use a superscript double prime and prime to denote quantities belonging to the ground and to the electronically excited states, respectively. Fs and Qj are the conjugate momentum and the normal coordinate of the jth mode of the excited state. The transformation [Eqs. (86) and (87)] defines pj and q, which are the dimensionless momentum and normal coordinate of the jth mode. A similar transformation between pj, qj, and Pj, Q] is defined by changing all prime indexes in Eqs. (86) and (87) to double primes. j) and m are the frequency and the mass of the jth mode. The present Hamiltonian [Eq. (85)] is a special case of the general two-manifold Hamiltonian [Eq. (41)]. We shall now introduce a vector notation and define the N component vectors q and q", whose components are q - and q j, j = 1 respectively. The normal modes... 

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