Other Related Approaches

We can expect to see future research directed at QM/MM and ab initio simulation methods to handle these electronic structure effects coupled with path integral or approximate quantum free energy methods to treat nuclear quantum effects. These topics are broadly reviewed in [32], Nuclear quantum effects for the proton in water have already received some attention [30, 76, 77]. Utilizing the various methods briefly described above (and other related approaches), free energy calculations have been performed for a wide range of problems involving proton motion [30, 67-69, 71, 72, 78-80]. 

The enantioselective hydrosilylation of 2-pentylcyclopentenone is effected with PMHS and an active catalyst derived from (R.R)-ethylenebis(tetrahydro-indenyl)titanium difluoride and phenylsilane (EBTHI)Ti (Eq. 3 50).587 The use of diphenylsilane, a rhodium catalyst, and (W, / )-(. ,.S )-BuTRAP as the chiral ligand gives similar results.576 Other related approaches give greatly inferior enantioselectivies, 592 594... 

Various nitrosoarenes have been utilized as benzofurazan precursors including o-azido derivatives generated from the o-chloro analogues <66JCS(B)1004>, and 1-amino-2-nitrosoarenes which can be oxidized with ferricyanide or hypochlorite. Treatment of o-nitrosophenols with hydroxylamine also affords the furazan, presumably via an oximation-dehydration pathway involving the tautomeric o-quinone monooxime. Other related approaches involve the reduction of o-dinitroarenes with borohydride, and the thermolysis of o-nitroanilines and o-nitroacetanilides. 

A quite general method of access to optically pure sulfoxides is due to Andersen [96-98] a menthyl sulfinate ester is reacted with a Grignard reagent. Both enantiomers of menthyl p-toluenesulfinate are commercially available. A large-scale preparation of (-)-menthyl (S)-p-toluenesulfinate as well as that of (7 )-(+)-methyl p-tolyl sulfoxide is described [99] by Solladi et al. Other related approaches are presented and discussed in [86]. 

Other related approaches are based on the use of neural networks and recursive partitioning [71-74],... 

Here we make a number of sweeping approximations in order to obtain an estimate of the tunneling matrix element fi. The multidimensional tunneling problem is first projected onto one dimension corresponding to the reaction pathway, in line with a number of other related approaches.The path is then modeled by two equivalent rectangular potential wells of width a and depth V i, separated by a distance b. The textbook solution to the single well problem is ... 

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