Jeffrey’s conditions

In synthesis of eletriptan (Relpax), Pfizer s triptan for the treatment of migraine, Macor again used the Mori—Ban indole synthesis as the key operation to assemble the indole ring. Jeffrey s conditions were once again employed to transform the o-bromo-A allylaniline into the indole core. 

Larock s improved conditions, which have been widely adopted, are catalytic (2 mol%) Pd(OAc)2, -Bu4NCl, DMF, base (usually Na2C03), 25 °C, 24 h (also known as the Jeffrey s conditions). Larock extended his work in several ways, particularly in regard to Pd-catalyzed cross-coupling of o-allylic and o-vinylic anilides with vinyl halides and triflates to produce 2-vinylindoies. " ... 

As the first application of Heck reaction in making heterocyclic compounds — namely indole derivatives, the Mori-Ban reaction has been widely used in variety synthesis of indoles. In a program to synthesize CC-1065 analogs, Sundberg prepared indole 19 from o-bromo-JV-allylaniline 18 in an excellent yield using the Jeffrey s conditions. Silver carbonate and sodium carbonate were less effective than triethylamine. 

Equations 12.45103 and 12.46104 show two examples of intramolecular Heck olefination. In the first case, under Jeffrey s ligandless conditions, the Pd catalyst also acts to isomerize a C=C bond to give a final product that has the C=N bond in conjugation with the aromatic ring. The second example demonstrates how the Heck reaction can cause alkynes as well as alkenes to undergo 1,2-insertion. The transformation is also a nice application of tandem Pd-catalyzed reactions to create a rather complex ring system. 

Jeffreys stability condition (Equation 43.1) with a constant value for s was applied by Taitel and Dukler [19] in attempting to predict the stratified-smooth/wavy transitional boundary for air-water flows in closed conduits. The value needed for the sheltering coefficient, in order to fit transitional data in 2.5 and 5.1cm tubes, was s = 0.01, in reasonable agreement with Figure 21. However, the omission of the inertia destabilizing terms, Ja, Jb in Taitel and Dukler [19], while employing Equation 43.1 for small conduits, should be carefully considered. 

We show that using an improper Jeffrey s prior distribution for the hypervariance can lead to an improper joint posterior for all the parameters in a hierarchical model. This is despite the Gibbs sampling conditional distribution for each node being proper We will show that using a Jeffrey s prior for a scale hyperparameter causes the joint posterior to be improper since the data is not able to drive the posterior away from the vertical asymptote at zero. 

Since all the means Pj are normal and the Jeffrey s pricH for is used, the conditional density of ip given every other node will be SSt times an inverse chi-squared with J degrees of freedom. The conditional distribution of mean ftj given all other nodes is given by... 

In 1926-27, Jeffreys (J3, J4) attempted to extend Rayleigh s result to a more realistic set of boundary conditions, first using finite differences to obtain successive approximations to the solution of Eq. (31) and later using a method of undetermined coefficients for the case corresponding to two solid conducting boundaries. In the latter manner, he computed a critical Rayleigh number of 1709.5. 

Actually, in Pearson s calculation, the critical Rayleigh number was taken equal to 571, the value obtained by Jeffreys using incorrect boundary conditions. The correct value, 1108, was arrived at by Low. 

R 505 D. Seebach, A.K. Beck and DJ. Bierbaum, The World of (3- and y-Peptides Comprised of Homologated Proteinogenic Amino Acids and Other Components , Chem. Bio divers., 2004,1,1111 R 506 D.S. Sem Chemical Proteomics from a Nuclear Magnetic Resonance Spectroscopy Perspective , Expert Rev.Proteom., 2004,1,165 R 507 A.D. Sherry, F.M.H. Jeffrey and C.R. Malloy, Analytical Solutions for C Isotopomer Analysis of Complex Metabolic Conditions Substrate Oxidation, Multiple Pyruvate Cycles, and Gluconeogenesis , Me-tab.Eng., 2004,6,12... 

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