A Tip for Crystallographic Unit Cell Transformation Verified by a Chiral Compound $[C_{24}H_{22}N_4O_4S]_2HCl$

Chiral Compound $[C_{24}H_{22}N_4O_4S]_2HCl$로 확인한 결정학적 단위포 변환시의 한 조언

  • Suh, Il-Hwan (Department of Physics, Chungnam National University Taejon 305-764) ;
  • Kim, Jin-Gyu (Department of Physics, Chungnam National University Taejon 305-764) ;
  • Park, Ji-Cheol (Department of Physics, Chungnam National University Taejon 305-764) ;
  • Park, Young-Soo (Department of Physics, Chungnam National University Taejon 305-764) ;
  • Park, Kyung-Lae (College of Pharmacy, Chungnam National University Taejon 305-764)
  • Published : 2000.06.01

Abstract

A crystallographic unit cell can be transformed into another one by a 3×3 transformantion matrix. If the determinant of the transformation matrix has a negative value, the newly transformed unit cell becomes a left-handed cell. The best way of transforming the left-handed cell to the right-handed one is to multiply each element of the transformation matrix by-1, and its corresponding transformation matrix must be applied tot he atomic coordinates of a noncentrosymmetric crystal so as to maintain the absolute configuration unchanged. The behaviour of absolute configuration caused by transforming the crystallographic unit cell was examined theoretically and experimentally on the compound (S)-(+)-4-phenyl-1-[4-aminobenzoyl) indoline-5-sulfonyl]-4,5-dihydro-2-imidazolone hydrochloride.

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