Model Struktur 1-D Kecepatan Gelombang P di daerah Minahasa

1,2:5,6-Di-O-isopropyl­idene-α-d-3-glucofuranosyl (R p)-2-(diphenyl­phosphino)ferrocene-1-carboxyl­ate

The title compound, [Fe(C(5)H(5))(C(30)H(32)O(7)P)], which is an inter-mediate in the synthesis of (R(p))-2-(diphenyl-phos-phino)ferrocene-1-carboxylic acid, crystallizes in the common chiral space group P2(1)2(1)2(1). In general, the mol-ecular geometry is very similar to that of the corresponding 2,1'-bis-(diphenyl-phosphino) congener. The ferrocene unit assumes a regular geometry with the pr...

NOTES ON PRIMES P ⌘ 1 mod D AND A P � 1 / D ⌘ 1 mod

Let d > 0 be a squarefree integer and a be an integer, which is not 1 nor a square. Let P(a,d)(x) be the number of primes p  x such that p ⌘ 1 mod d and a(p 1)/d ⌘ 1 mod p. Numerical data indicate that the function as approximately equal to a constant multiple of ⇡(x)/(d'(d)) for su ciently large x, where ⇡(x) is the number of primes up to x and '(d) is the Euler-' function. The involved const...

Dissertation Struktur

1-Allyl-3,3-di-p-tolyl­indolin-2-one

In the title compound, C(25)H(23)NO, the indoline system is essentially planar. The mol-ecular structure is stabilized by weak intra-molecular C-H⋯N inter-actions and the crystal packing is determined by inter-molecular C-H⋯π inter-actions.

2,3:4,5-Di-O-isopropyl­idenefructos-1-yl p-toluene­sulfonate

The title compound, C(19)H(26)O(8)S, has been synthesized from 2,3:4,5-di-O-isopropyl-idene-β-d-fructopyran-ose. The absolute configuration of the fused ring is confirmed by anomalous dispersion effects in the diffraction measurement. The six-membered β-fructopyran-ose ring has a twist-boat conformation with the two five-membered rings trans to each other. In the crystal, inter-molecular non-cl...