Witkowski

Rawlings, J.B., Miller, S.M. and Witkowski, W.R., 1993. Model identification and control of solution crystallization processes A review. Industrial and Engineering Chemistry Research, 32, 1275-1296. 

Measurements of the effect of pressure on cp have been made by Lussana (1895—8). With pressures of 5—150 atm. he found cp to increase considerably with the pressure with all the gases investigated. In the case of air and carbon dioxide the results showed that cp would reach a maximum and then decrease at higher pressures—a result directly verified in the case of air by Witkowski (1895). Lussana s results are represented by ... 

A. Witkowski and A. Brajter-Toth, Anal. Chem. 64 (1992) 635. 

Shiratori Y, Nakata R, Shimizu N, Katada H, Hisamitsu S, Yasuda E, Matsumura M, Narita T, Kawada K, Omata M (2000) High viral eradication with a daily 12-week natural interferon-beta treatment regimen in chronic hepatitis C patients with low viral load. Dig Dis Sci 45 2414-2421 Sidwell RW, Huffman JH, Khare GP, Allen LB, Witkowski JT, Robins RK (1972) Broad-spectrum antiviral activity of Virazole l-beta-D-ribofuranosyl-l,2,4-triazole-3-carboxamide. Science 177 705-706... 

Sidwell RW, Huffman JH, Khare GP, Allen LB, Witkowski JT, Robins RK (1972) Broad-spectrum antiviral activity of Virazole l-beta-D-ribofuranosyl-l,2,4-triazole-3-carboxamide. Science 177(50) 705-706... 

Sojka, Z. and Witkowski, S. (2002) EPR study of CO adsorption onto CoZSM-5 zeolite Evidence for spin crossover upon coordination and lz2, 2A1) ground state, Top. Catal., 18, 279. 

W. Huang, A. Feltus, A. Witkowski, and S. Daunert, Homogeneous bioluminescence competitive binding assay for folate based on a coupled glucose-6-phosphate dehydrogenase-bacterial luciferase enzyme system. Anal. Chem. 68, 1646-1650 (1996). 

Note that founder theoretical treatment of the strong anharmonic coupling has been done by Marechal and Witkowski [7] in the simplest case, obtained by neglecting the terms in p0,/0, and ga. 

The general potential U (8) has not been used before 1999 [52] because its numerical matrix representation requires huge basis sets, incompatible with the common computers. In order to avoid this situation, an approximation has been undertaken in previous studies the adiabatic approximation [54,55], Following an idea of Stepanov [56], Marechal and Witkowski assumed that the fast mode follows adiabatically the slow intermonomer motions, just as the electrons are assumed to follow adiabatically the motions of the nuclei in a molecule. It has been shown [57] that the adiabatic approximation is only suitable for very weak hydrogen bonds, as discussed in the next section. 

In order to consider the Marechal and Witkowski approach [7], it is suitable to write the basic fundamental Hamiltonian (12) according to the equations... 

Now, we may recall the representation III of the autocorrelation function because its Fourier transform leads to the well-known Franck-Condon progression of delta Dirac peaks appearing in the pioneering work of Marechal and Witkowski [7]. In this representation III, the general autocorrelation function (2) takes the form... 

In this section we shall give the connections between the nonadiabatic and damped treatments of Fermi resonances [53,73] within the strong anharmonic coupling framework and the former theory of Witkowski and Wojcik [74] which is adiabatic and undamped, involving implicitly the exchange approximation (approximation later defined in Section IV.C). 

We shall give here a brief summary of our previous work [71,72] that was concerned with the introduction of the relaxation phenomenon within the adiabatic treatment of the Hamiltonian (77), as was done in the undamped case by Witkowski and Wojcik [74]. Following these authors, we applied the adiabatic approximation and then we restricted the representation of the Hamiltonian to the reduced base (89). Within this base, the Hamiltonian that describes a damped H bond involving a Fermi resonance may be split into effective Hamiltonians whose structure is related to the state of the fast and bending modes ... 

These conclusions must be considered keeping in mind that the general theoretical spectral density used for the computations, in the absence of the fast mode damping, reduces [8] to the Boulil et al. spectral density and, in the absence of the slow mode damping, reduces to that obtained by Rosch and Ratner one must also rember that these two last spectral densities, in the absence of both dampings [8], reduce to the Franck-Condon progression involving Dirac delta peaks that are the result of the fundamental work of Marechal and Witkowski. Besides, the adiabatic approximation at the basis of the Marechal... 

The pure quantum approach of the strong anharmonic coupling theory performed by Marechal and Witkowski [7] gives the most satisfactorily zeroth-order physical description of weak H-bond IR lineshapes. 

The quantum approaches of direct and indirect dampings, respectively by Rosch and Ratner [58] and by Boulil et al. [90], may be considered as the well-behaved extension of the zeroth-order approach of Marechal and Witkowski [7]. 

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