Stereochemistry Three-Dimensional Arrangement of Atoms (Groups) in Space
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Chirality in the Plane
Chirality in the plane Christian G. B¨ohmer1 and Yongjo Lee2 and Patrizio Neff3 October 15, 2019 Abstract It is well-known that many three-dimensional chiral material models become non-chiral when reduced to two dimensions. Chiral properties of the two-dimensional model can then be restored by adding appropriate two-dimensional chiral terms. In this paper we show how to construct a three-dimensional chiral energy function which can achieve two-dimensional chirality induced already by a chiral three-dimensional model. The key ingredient to this approach is the consideration of a nonlinear chiral energy containing only rotational parts. After formulating an appropriate energy functional, we study the equations of motion and find explicit soliton solutions displaying two-dimensional chiral properties. Keywords: chiral materials, planar models, Cosserat continuum, isotropy, hemitropy, centro- symmetry AMS 2010 subject classification: 74J35, 74A35, 74J30, 74A30 1 Introduction 1.1 Background A group of geometric symmetries which keeps at least one point fixed is called a point group. A point group in d-dimensional Euclidean space is a subgroup of the orthogonal group O(d). Naturally this leads to the distinction of rotations and improper rotations. Centrosymmetry corresponds to a point group which contains an inversion centre as one of its symmetry elements. Chiral symmetry is one example of non-centrosymmetry which is characterised by the fact that a geometric figure cannot be mapped into its mirror image by an element of the Euclidean group, proper rotations SO(d) and translations. This non-superimposability (or chirality) to its mirror image is best illustrated by the left and right hands: there is no way to map the left hand onto the right by simply rotating the left hand in the plane. -
Prebiological Evolution and the Metabolic Origins of Life
Prebiological Evolution and the Andrew J. Pratt* Metabolic Origins of Life University of Canterbury Keywords Abiogenesis, origin of life, metabolism, hydrothermal, iron Abstract The chemoton model of cells posits three subsystems: metabolism, compartmentalization, and information. A specific model for the prebiological evolution of a reproducing system with rudimentary versions of these three interdependent subsystems is presented. This is based on the initial emergence and reproduction of autocatalytic networks in hydrothermal microcompartments containing iron sulfide. The driving force for life was catalysis of the dissipation of the intrinsic redox gradient of the planet. The codependence of life on iron and phosphate provides chemical constraints on the ordering of prebiological evolution. The initial protometabolism was based on positive feedback loops associated with in situ carbon fixation in which the initial protometabolites modified the catalytic capacity and mobility of metal-based catalysts, especially iron-sulfur centers. A number of selection mechanisms, including catalytic efficiency and specificity, hydrolytic stability, and selective solubilization, are proposed as key determinants for autocatalytic reproduction exploited in protometabolic evolution. This evolutionary process led from autocatalytic networks within preexisting compartments to discrete, reproducing, mobile vesicular protocells with the capacity to use soluble sugar phosphates and hence the opportunity to develop nucleic acids. Fidelity of information transfer in the reproduction of these increasingly complex autocatalytic networks is a key selection pressure in prebiological evolution that eventually leads to the selection of nucleic acids as a digital information subsystem and hence the emergence of fully functional chemotons capable of Darwinian evolution. 1 Introduction: Chemoton Subsystems and Evolutionary Pathways Living cells are autocatalytic entities that harness redox energy via the selective catalysis of biochemical transformations. -
Chapter 3 • Ratio: Cnh2n+2
Organic Chemistry, 5th Edition Alkane Formulas L. G. Wade, Jr. • All C-C single bonds • Saturated with hydrogens Chapter 3 • Ratio: CnH2n+2 Structure and Stereochemistry • Alkane homologs: CH3(CH2)nCH3 of Alkanes • Same ratio for branched alkanes H H H H H H CH H C C C C H H H H C CCH Jo Blackburn H H H H H H Richland College, Dallas, TX H => Butane, C4H10 Dallas County Community College District Chapter 3Isobutane, C H 2 © 2003, Prentice Hall 4 10 Common Names Pentanes H H H H H H H CH • Isobutane, “isomer of butane” H C C C C C H H H • Isopentane, isohexane, etc., methyl H H H H H H H C CCC H branch on next-to-last carbon in chain. H H H H • Neopentane, most highly branched n-pentane, C5H12 isopentane, C5H12 • Five possible isomers of hexane, CH3 18 isomers of octane and 75 for H3C C CH3 decane! CH3 => => neopentane, C5H12 Chapter 3 3 Chapter 3 4 Longest Chain IUPAC Names • The number of carbons in the longest • Find the longest continuous carbon chain determines the base name: chain. ethane, hexane. (Listed in Table 3.2, • Number the carbons, starting closest to page 81.) the first branch. • If there are two possible chains with the • Name the groups attached to the chain, same number of carbons, use the chain using the carbon number as the locator. with the most substituents. • Alphabetize substituents. H3C CH CH CH • Use di-, tri-, etc., for multiples of same 2 3 CH3 substituent. -
Separation of the Mixtures of Chiral Compounds by Crystallization
1 Separation of the Mixtures of Chiral Compounds by Crystallization Emese Pálovics2, Ferenc Faigl1,2 and Elemér Fogassy1* 1Department of Organic Chemistry and Technology, Budapest University of Technology and Economics, 2Research Group for Organic Chemical Technology, Hungarian Academy of Sciences, Budapest, Hungary 1. Introduction Reaction of a racemic acid or base with an optically active base or acid gives a pair of diastereomeric salts. Members of this pair exhibit different physicochemical properties (e.g., solubility, melting point, boiling point, adsorbtion, phase distribution) and can be separated owing to these differences. The most important method for the separation of enantiomers is the crystallization. This is the subject of this chapter. Preparation of enantiopure (ee~100%) compounds is one of the most important aims both for industrial practice and research. Actually, the resolution of racemic compounds (1:1 mixture of molecules having mirror-imagine relationship) still remains the most common method for producing pure enantiomers on a large scale. In these cases the enantiomeric mixtures or a sort of their derivatives are separated directly. This separation is based on the fact that the enantiomeric ratio in the crystallized phase differs from the initial composition. In this way, obtaining pure enantiomers requires one or more recrystallizations. (Figure 1). The results of these crystallizations (recrystallizations) of mixtures of chiral compounds differ from those observed at the achiral compounds. Expectedly, not only the stereoisomer in excess can be crystallized, because the mixture of enantiomers (with mirror image relationship) follows the regularities established from binary melting point phase diagrams, and ternary composition solubility diagrams, respectively, as a function of the starting enantiomer proportion. -
Stereochemistry of Alkanes and Cycloalkanes
STEREOCHEMISTRY OF ALKANES AND CYCLOALKANES CONFORMATIONAL ISOMERS 1 CONFORMATIONAL ISOMERS • Stereochemistry concerned with the 3-D aspects of molecules • Rotation is possible around C-C bonds in open- chain molecules • A conformation is one of the many possible arrangements of atoms caused by rotation about a single bond, and a specific conformation is called a conformer (conformational isomer). 2 SOME VOCABULARY • A staggered conformation is the conformation in which all groups on two adjacent carbons are as far from each other as possible. • An eclipsed conformation is the conformation in which all groups on two adjacent carbons are as close to each other as possible. • Dihedral angle is angle between the substituents on two adjacent carbons; changes with rotation around the C-C bond 3 MORE VOCABULARY • Angle strain is the strain caused by the deformation of a bond angle from its normal value. • Steric strain is the repulsive interaction caused by atoms attempting to occupy the same space. • Torsional strain is the repulsive interaction between two bonds as they rotate past each other. Torsional strain is responsible for the barrier to rotation around the C-C bond. The eclipsed from higher in energy than the staggered form. 4 CONFORMATION OF ETHANE • Conformation- Different arrangement of atoms resulting from bond rotation • Conformations can be represented in 2 ways: 5 TORSIONAL STRAIN • We do not observe perfectly free rotation • There is a barrier to rotation, and some conformers are more stable than others • Staggered- most stable: -
II. Stereochemistry 5
B.Sc.(H) Chemistry Semester - II Core Course - III (CC-III) Organic Chemistry - I II. Stereochemistry 5. Physical and Chemical Properties of Stereoisomers Dr. Rajeev Ranjan University Department of Chemistry Dr. Shyama Prasad Mukherjee University, Ranchi 1 Syllabus & Coverage Syllabus II Stereochemistry: Fischer Projection, Newmann and Sawhorse Projection formulae and their interconversions. Geometrical isomerism: cis–trans and syn-anti isomerism, E/Z notations with Cahn Ingold and Prelog (CIP) rules for determining absolute configuration. Optical Isomerism: Optical Activity, Specific Rotation, Chirality/Asymmetry, Enantiomers, Molecules with two or more chiral-centres, Distereoisomers, Meso structures, Racemic mixture. Resolution of Racemic mixtures. Relative and absolute configuration: D/L and R/S designations. Coverage: 1. Types of Isomers : Comparing Structures 2. Optical Activity 3. Racemic Mixtures : Separation of Racemic Mixtures 4. Enantiomeric Excess and Optical Purity 5. Relative and Absolute Configuration 6. Physical and Chemical Properties of Stereoisomers 2 Stereochemistry Types of Isomers Dr. Rajeev Ranjan 3 Stereochemistry Determining the Relationship Between Two Non-Identical Molecules Dr. Rajeev Ranjan 4 Stereochemistry Comparing Structures: Are the structures connected the same? yes no Are they mirror images? Constitutional Isomers yes no Enantiomers Enantiomers Is there a plane of symmetry? All chiral centers will be opposite between them. yes no Meso Diastereomers superimposable Dr. Rajeev Ranjan 5 Stereochemistry Optical Activity: • The chemical and physical properties of two enantiomers are identical except in their interaction with chiral substances. • The physical property that differs is the behavior when subjected to plane-polarized light ( this physical property is often called an optical property). • Plane-polarized (polarized) light is light that has an electric vector that oscillates in a single plane. -
Chirality and Projective Linear Groups
DISCRETE MATHEMATICS Discrete Mathematics 131 (1994) 221-261 Chirality and projective linear groups Egon Schultea,l, Asia IviC Weissb**,’ “Depurtment qf Mathematics, Northeastern Uniwrsity, Boston, MA 02115, USA bDepartment qf Mathematics and Statistics, York University, North York, Ontario, M3JIP3, Camda Received 24 October 1991; revised 14 September 1992 Abstract In recent years the term ‘chiral’ has been used for geometric and combinatorial figures which are symmetrical by rotation but not by reflection. The correspondence of groups and polytopes is used to construct infinite series of chiral and regular polytopes whose facets or vertex-figures are chiral or regular toroidal maps. In particular, the groups PSL,(Z,) are used to construct chiral polytopes, while PSL,(Z,[I]) and PSL,(Z,[w]) are used to construct regular polytopes. 1. Introduction Abstract polytopes are combinatorial structures that generalize the classical poly- topes. We are particularly interested in those that possess a high degree of symmetry. In this section, we briefly outline some definitions and basic results from the theory of abstract polytopes. For details we refer to [9,22,25,27]. An (abstract) polytope 9 ofrank n, or an n-polytope, is a partially ordered set with a strictly monotone rank function rank( .) with range { - 1, 0, . , n}. The elements of 9 with rankj are called j-faces of 8. The maximal chains (totally ordered subsets) of .P are calledJags. We require that 6P have a smallest (- 1)-face F_ 1, a greatest n-face F,, and that each flag contains exactly n+2 faces. Furthermore, we require that .Y be strongly flag-connected and that .P have the following homogeneity property: when- ever F<G, rank(F)=j- 1 and rank(G)=j+l, then there are exactly two j-faces H with FcH-cG. -
Enantioselective Synthesis of the (1S,5R)-Enantiomer of Litseaverticillols a and B
Biosci. Biotechnol. Biochem., 70 (10), 2564–2566, 2006 Note Enantioselective Synthesis of the (1S,5R)-Enantiomer of Litseaverticillols A and B y Akira MORITA, Hiromasa KIYOTA, and Shigefumi KUWAHARA Laboratory of Applied Bioorganic Chemistry, Graduate School of Agricultural Science, Tohoku University, Tsutsumidori-Amamiyamachi, Aoba-ku, Sendai 981-8555, Japan Received May 8, 2006; Accepted May 31, 2006; Online Publication, October 7, 2006 [doi:10.1271/bbb.60253] An enantioselective synthesis of the (1S,5R)-enan- which have recently culminated in the first enantiose- tiomer of litseaverticillols A and B was accomplished in lective total synthesis of (1R,5S)-(À)-1 and (1R,5S)-(À)- line with our previously reported synthetic pathway for 2.4) In this note, we describe the synthesis of their their (1R,5S)-enantiomer. The use of ‘‘EtSCeCl2’’ pre- enantiomers directed toward an evaluation of the differ- pared from EtSLi and CeCl3, instead of previously ence in biological activity between the enantiomers of employed EtSLi itself, for the formation of thiol ester litseaverticillols A and B. intermediates prevented any undesirable epimerization Our synthesis of (1S,5R)-1 and (1S,5R)-2 basically occurring in the process. followed our previous synthesis of their corresponding enantiomers, (1R,5S)-1 and (1R,5S)-2, respectively,4) Key words: litseaverticillol; enantioselective synthesis; except that (R)-4-benzyloxazolidin-2-one was employed sesquiterpenoid; anti-HIV as the source of chirality, instead of its (S)-form used in the previous synthesis. Homogeranic -
Lecture 3: Stereochemistry and Drugs Key Objectives: 1
Lecture 3: Stereochemistry and drugs Key objectives: 1. Be able to explain the role of stereochemistry in drug action or metabolism 2. Be able to identify a chiral center (or centers) in a drug 3. Be able to explain the difference between enantiomers and diastereomers Value of chirality and stereochemistry: Chirality as expressed through stereoisomers increases the specificity of molecule recognition and signaling. Like a key in a lock, or a hand in a glove. Some useful definitions: Chirality (and chiral centers): An object (such as a molecule) that is asymmetric and therefore not superimposable on its own image. Chiral centers are the most common features within molecules that give rise to chirality. Stereoisomer: A molecule that possesses at least one chiral center (or center of chirality). Enantiomers: A type of stereoisomer that exists in mirror image forms. See Figure 1. Diastereomers: A type of stereoisomer that possesses more than one chiral center. Stereospecific: A term used to describe a stereochemical property that one isomer possesses but the other does not. For example, the stereospecific metabolism of the S-enantiomer of a compound by an enzyme but the R-enantiomer is not metabolized by that enzyme. Stereoselective: A term used to describe a stereochemical property that is shared by both stereoisomers, but the property is greater in one isomer than the other. For example, the stereoselective binding of the R-enantiomer for a receptor indicates that the S-enantiomer also binds but not as avidly as the R-enantiomer. Enantiomers Figure 1: For enantiomers, many times we use the example of our left and right hands to demonstrate their asymmetry. -
Cross-Linked Protein Crystal Technology in Bioseparation and Biocatalytic Applications
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Aaltodoc Helsinki University of Technology, Department of Chemical Technology Technical Biochemistry Report 1/2004 Espoo 2004 TKK-BE-8 CROSS-LINKED PROTEIN CRYSTAL TECHNOLOGY IN BIOSEPARATION AND BIOCATALYTIC APPLICATIONS Antti Vuolanto Dissertation for the degree of Doctor in Science in Technology to be presented with due permission of the Department of Chemical Technology for public examination and debate in Auditorium KE 2 (Komppa Auditorium) at Helsinki University of Technology (Espoo, Finland) on the 20th of August, 2004, at 12 noon. Helsinki University of Technology Department of Chemical Technology Laboratory of Bioprocess Engineering Teknillinen korkeakoulu Kemian osasto Bioprosessitekniikan laboratorio Distribution: Helsinki University of Technology Laboratory of Bioprocess Engineering P.O. Box 6100 FIN-02015 HUT Tel. +358-9-4512541 Fax. +358-9-462373 E-mail: [email protected] ©Antti Vuolanto ISBN 951-22-7176-1 (printed) ISBN 951-22-7177-X (pdf) ISSN 0359-6621 Espoo 2004 Vuolanto, Antti. Cross-linked protein crystal technology in bioseparation and biocatalytic applications. Espoo 2004, Helsinki University of Technology. Abstract Chemical cross-linking of protein crystals form an insoluble and active protein matrix. Cross-linked protein crystals (CLPCs) have many excellent properties including high volumetric activity and stability. In this thesis CLPC technology was studied in bioseparation and biocatalytic applications. A novel immunoaffinity separation material, cross-linked antibody crystals (CLAC), was developed in this thesis for enantiospecific separation of a chiral drug, finrozole. Previously, the preparation of an antibody Fab fragment ENA5His capable of enantiospecific affinity separation of the chiral drug has been described. -
Diastereomers Diastereomers
Diastereomers Diastereomers: Stereoisomers that are not mirror images. enantiomer (R) (S) (S) (R) diastereomers diastereomer diastereomer enantiomer (R) (S) (R) (S) Diastereomers Diastereomers: Stereoisomers that are not mirror images. (R) enantiomer (S) (S) (R) diastereomer To draw the enantiomer of a molecule with chiral centers, invert stereochemistry at all chiral centers. (R) To draw a diastereomer of a molecule (R) with chiral centers, invert stereochemistry at only some chiral centers. Meso Compounds Meso: A molecule that contains chiral centers, but is achiral. 3 Are these molecules chiral? (R) (S) (These are diff eren t f rom th e 3 molecules I just showed; they have 2 -Cl’s, rather than 1 -Cl & 1 -OH. enantiomer (R) (S) (R) (S) These molecules are chiral mirror images of one another. (R,R) and (S,S) are not the same. Meso Compounds Meso: A molecule that contains chiral centers, but is achiral. 3 enantiomer ? (R) (S) (S) (R) no! 3 same molecule! enantiomer (R) (S) (R) (S) Meso Compounds Meso: A molecule that contains chiral centers, but is achiral. 3 enantiomer ? (R) (S) (S) (R) no! 3 same molecule! If a molecule • contains the same number of (R) and (S) stereocenters, and • those stereocenters have identical groups attached, then the molecule is achiral and meso. Meso Compounds Meso: A molecule that contains chiral centers, but is achiral. 3 same molecule (R) (S) (S) (R) 3 meso diastereomers meso diastereomer diastereomer enantiomer (R) (S) (R) (S) chiral chiral Properties of Enantiomers Most physical properties of enantiomers are identical. diethyl-(R,R)-tartrate diethyl-(S,S)-tartrate boiling point 280 °C 280 °C melting point 19 °C 19 °C density 1.204 g/mL 1.204 g/mL refractive index 1.447 1.447 i.e., chirality does not affect most physical properties. -
The Racemate-To-Homochiral Approach to Crystal Engineering Via Chiral Symmetry-Breaking
CrystEngComm The Racemate -to -Homochiral Approach to Crystal Engineering via Chiral Symmetry-Breaking Journal: CrystEngComm Manuscript ID: CE-HIG-02-2015-000402.R1 Article Type: Highlight Date Submitted by the Author: 04-Apr-2015 Complete List of Authors: An, Guanghui; Heilongjiang University, School of Chemistry and Materials Science Yan, Pengfei; Heilongjiang University, School of Chemistry and Materials Science Sun, Jingwen; Heilongjiang University, School of Chemistry and Materials Science Li, Yuxin; School of Chemsitry and Materials Science of Heilongjiang University, Yao, Xu; Heilongjiang University, School of Chemistry and Materials Science Li, Guangming; School of Chemsitry and Materials Science of Heilongjiang University, Page 1 of 12Journal Name CrystEngComm Dynamic Article Links ► Cite this: DOI: 10.1039/c0xx00000x www.rsc.org/xxxxxx ARTICLE TYPE The Racemate-to-Homochiral Approach to Crystal Engineering via Chiral Symmetry-Breaking Guanghui An, a Pengfei Yan, a Jingwen Sun, a Yuxin Li, a Xu Yao, a Guangming Li,* a Received (in XXX, XXX) Xth XXXXXXXXX 20XX, Accepted Xth XXXXXXXXX 20XX 5 DOI: 10.1039/b000000x The racemate-to-homochiral approach is to transform or separate the racemic mixture into homo chiral compounds. This protocol, if without an external chiral source, is categorized into chiral symmetry- breaking. The resolution processes without chiral induction are highly important for the investigation on the origin of homochirality in life, pharmaceutical synthesis, chemical industrial and material science. 10 Besides the study on the models and mechanisms to explain the racemate-to-homochiral approach which may give the probable origin of homochirality in life, the recent developments in this field have been plotted towards the separation of enantiomers for the synthesis of pharmaceuticals, chiral chemicals.