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  • Title: BPOCchapter2
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ORGANIC STRUCTURAL CHEMISTRY. THE SHAPES OF MOLECULES. FUNCTIONAL GROUPS I n this chapter we first briefly review the most important types of covalent bonds encountered in organic substances and the ways in which these bonds are represented in structural formulas. Next we consider the sizes and shapes of organic molecules and how structural formulas written in two dimensions can be translated into three-dimensional models that show the relative positions of the atoms in space. We also discuss models that reflect the relative sizes of the atoms and the way in which the atoms may interfere with each other when in close quarters (steric hindrance). Then we go on to further important aspects of structure-the functional group concept and position isomerism. Our aim is to have you become more familiar with the various kinds of organic compounds and begin to see how the practicing organic chemist visualizes molecules and correlates the diverse kinds of structures that he has to deal with in his work. 2-1 STRUCTURAL FORMULAS The building block of structural organic chemistry is the tetravalent carbon atom. With few exceptions, carbon compounds can be formulated with four 2-1 Structural Fbrmulas 31 covalent bonds to each carbon, regardless of whether the combination is with carbon or some other element. The two-electron bond, which is illustrated by the carbon-hydrogen bonds in methane or ethane and the carbon-carbon bond in ethane, is called a single bond. In these and many related substances, each carbon is attached to four other atoms: H:C:H .. H methane H:C:C:H .. .. HH ethane There exist, however, compounds such as ethene (ethylene), C,H,, in which two electrons from each of the carbon atoms are mutually shared, thereby producing two two-electron bonds, an arrangement which is called a double bond. Each carbon in ethene is attached to only three other atoms: .H .C : : c.. H' 'H 5 ethene Similarly, in ethyne (acetylene), C,H,, three electrons from each carbon atom are mutually shared, producing three two-electron bonds, called a triple bond, in which each carbon is attached to only two other atoms: H:C:::C:H ethyne Of course, in all cases each carbon has a full octet of electrons. Carbon also forms double and triple bonds with several other elements that can exhibit a covalence of two or three. The carbon-oxygen (or carbonyl) double bond appears in carbon dioxide and many important organic compounds such as methanal (formaldehyde) and ethanoic acid (acetic acid). Similarly, a carbonnitrogen triple bond appears in methanenitrile (hydrogen cyanide) and ethanenitrile (acetonitrile). carbon dioxide rnethanal (formaldehyde) ethanoic acid (acetic acld) H:c:::N: methanenitrile (hydrogen cyanide) H H:c:c:::N: .. H ethanenitr~le (acetonitrlle) By convention, a single straight line connecting the atomic symbols is used to represent a single (two-electron) bond, two such lines to represent a 2 Structural Organic Chemistry The Shapes of Molecules Functional Groups double (four-electron) bond, and three lines a triple (six-electron) bond. Representations of compounds by these symbols are called structural formulas; some examples are H H-C-C-H H I H I I H I /" f="\ H H \ ' H H-CzC-H ethyne H-CzN methanenitrile (hydrogen cyanide) ethane ethene carbon dioxide methanal (formaldehyde) ethanoic acid (acetic acid) ethanenitrile (acetonitrile) A point worth noting is that structural formulas usually do not indicate the nonbonding electron pairs. This is perhaps unfortunate because they play as much a part in the chemistry of organic molecules as do the bonding electrons and their omission may lead the unwary reader to overlook them. However, when it is important to represent them, this can be done best with pairs of dots, although a few authors use lines: To save space and time in the representation of organic structures, it is common practice to use "condensed formulas" in which the bonds are not shown explicitly. In using condensed formulas, normal atomic valences are understood throughout. Examples of condensed formulas are CH3CH3 ethane CH2CH, ethene CHCH ethyne CH20 methanal (formaldehyde) CH3C0,H ethanoic acid (acetic acid) HCN methanenitrile (hydrogen cyanide) CH3CN ethanenitrile (acetonitrile) Another type of abbreviation that often is used, particularly for ring compounds, dispenses with the symbols for carbon and hydrogen atoms and leaves only the lines in a structural formula. For instance, cyclopentane, C,H,,, often is represented as a regular pentagon in which it is understood that each apex represents a carbon atom with the requisite number of hydro- 2-1 Structural Formulas gens to satisfy the tetravalence of carbon: cyclopentane Likewise, cyclopropane, C3H6;cyclobutane, C4H8;and cyclohexane, C6HI2, are drawn as regular polygons: cyclopropane cyclobutane cyclohexane Although this type of line drawing is employed most commonly for cyclic structures, its use for open chain (acyclic) structures is becoming increasingly widespread. There is no special merit to this abbreviation for simple structures such as butane, C,H,,; 1-butene, C4H8;or 1,3-butadiene, C,H,, but it is of value in representing more complex molecules such as p-carotene, C4,H5,: / ./ ". butane M 1- butene 2 Structural Organic Chemistry. The Shapes of Molecules. Functional Groups Line structures also can be modified to represent the three-dimensional shapes of molecules, and the way that this is done will be discussed in detail in Chapter 5. At the onset of your study of organic chemistry, you should write out the formulas rather completely until you are thoroughly familiar with what these abbreviations stand for. 2-2 THE SIZES AND SHAPES OF ORGANIC MOLECULES. MOLECULAR MODELS The size and shape of molecules are as much a part of molecular structure as is the order in which the component atoms are bonded. Contrary to the impression you may get from structural formulas, complex molecules are not flat and formless, but have well-defined spatial arrangements that are determined by the lengths and directional character of their chemical bonds. It is not easy to visualize the possible arrangements of the bonds in space and it is very helpful to have some kind of mechanical model that reflects the molecular geometry, including at least an approximation to the relative lengths of the bonds. "Ball-and-stick" models such as the ones used by Paterno (Section 1-1D) fill this purpose admirably. 2-2A Bond Angles and Ball-and-Stick Models It is well established that the normal carbon atom forms its four single bonds in compounds of the type CX, so that the four attached atoms lie at the corners of a regular tetrahedron. The bond angles X-C-X are 109.5" and this value is the "normal" valence angle of carbon. For many purposes, ball-and-stick models of organic compounds give useful information about the spatial relationships of the atoms, and for CX, the angles between the sticks are set at 109.5" (Figure 2-1). Organic molecules strongly resist deformation forces that alter their valence angles from normal values. Therefore ball-and-stick models correspond better to the behavior of actual molecules if the connectors representing single bonds are made to be rather stiff. Figure 2-1 Ball-and-st~ck model of CX, 2-2A Bond Angles and Ball-and-St~ckModels ethene ethyne cyclopropane methanal Figure 2-2 Ball-and-stick models of some simple organic molecules Whereas methane, CH,, is tetrahedral, ethene, C,H,, is not. According to the best available physical measurements, all six atoms of ethene lie in a single plane and the H-C-H bond angles are 1 17.3". Methanal (formaldehyde) also is a planar molecule with an H-C-H bond angle of 118". Models of ethene and methanal can be built with ball-and-stick models by using flexible couplings or bent sticks to form the double bonds (Figure 2-2), but the H-C-H angles are inaccurate because they are 109.5" rather than the observed 117" to 118". Ethyne, C,H,, has been established experimentally to be a linear molecule; that is, the H-C-C bond angle is 180": H-C 1.205AC1.058AH eihyne 36 2 Structural Organic Chem~stryThe Shapes of Molecules Funct~onal Groups This geometry also results with ball-and-stick models, if the triple bond is constructed of three flexible couplings or bent sticks as shown in Figure 2-2. Structural units that have C-C-C valence angles substantially less than the tetrahedral value include double and triple bonds, and small rings such as cyclopropane. Several bent bonds are required to construct models of compounds containing these units. Interestingly, such compounds are much less stable and more reactive than otherwise similar molecules for which models can be constructed with straight sticks at tetrahedral angles. 2-2B Bond Lengths and Space-Filling Models The length of a chemical bond is the average distance between the nuclei of two bonded atoms, regardless of where the bonding electrons happen to be. The customary unit of length is the angstrom1 (A = 10-lo m), and measurements often can be made with an accuracy of 0.001 A by using the techniques of molecular spectroscopy, x-ray diffraction (for crystalline solids), and electron diffraction (for volatile compounds). Bond lengths vary considerably with structure and depend on the identity of both atoms, the type of bonding (single, double, or triple), and the nature of other atoms or groups bonded to the two atoms in question. These effects are apparent in the data of Table 2-1, which lists the bond lengths in several simple organic compounds. Multiple bonds, double or triple, clearly are shorter than single bonds, and it can be stated as a general observation that the more bonding electrons in a given bond, the shorter (and stronger) the bond. The lengths of single C-C bonds also vary significantly depending on what other atoms or groups are attached to the carbons. Thus Table 2-1 shows that single C-C bonds become progressively shorter as the number of multiple bonds or electronegative atoms attached to the carbons increases. Although molecular models cannot represent the subtle variations in bond lengths and bond angles that actual molecules exhibit, most kinds of commercially available molecular models do attempt to reproduce relative bond lengths with some degree of reality. In the ball-and-stick type, the sticks usually come in various lengths to simulate different kinds of bonds; C-H bonds typically are scaled to represent 1.1 A, C-C bonds to be 1.54 A, and C=C and C = C to be correspondingly shorter. In some model sets the bonds can be cut to any desired length. While ball-and-stick models of molecules are very useful for visualizing the relative positions of the atoms in space, they are unsatisfactory whenever we also want to show how large the atoms are. Actually, atomic radii are so large relative to the lengths of chemical bonds that when a model of a molecule such as methyl chloride is constructed with atomic radii and bond lengths, both to scale, the bonds connecting the atoms are not clearly evident. NonelThe angstrom unit likely will be replaced eventually by the nanometer (1 nm = l o A). m = 2-28 Bond Lengths and Space-Filling Models Table 2-1 Bond Lengths in Simple Organic Moleculesa Compound Formula C-C C=C Bond length, A CrC C-H C-CI ethane ethene ethyne butane 2-butene 2-butyne 1,3-butad~ene I-buten-3-yne chloroethane 1,l-d~chloroethane 1,1,1-tr~chloroethane hexachloroethane and Conf~gurat~on Molecules and tons," Specla1 Publlcain "From "Tables of Interatomic D~stances tlon Nos 11 and 18, The Chemlcal Soc~ety, London, 1958 and 1965 bRefers to C-H of terminal CH, group %efers to C-H of CH2CI group theless, such "space-filling" models made with truncated balls held together with snap fasteners are used widely to determine the possible closeness of approach of groups to each other and the degree of crowding of atoms in various arrangements (see Figure 2-3). Especially excellent, but expensive, models used for this purpose are the Corey-Pauling-Kolton (CPK) models. Figure 2-3 shows how the CPK models can indicate intense molecular crowding, as between the bromines in 1,8-dibromonaphthalene, a close relative of 1,2-dibromobenzene mentioned in Section 1- 1G : As we shall see, such crowding has many chemical consequences. Ideally, a model should reflect not only the size and shape of the molecule it represents but also the flexibility of the molecule. By this we mean that 2 Structural Organic Chern~stry. The Shapes of Molecules. Functional Groups methane ethane ethene ethanol 1,8-dibrornonaphthalene Figure 2-3 CPK space-fill~ngmodels of organlc compounds 2-3 Class~f~cation Organ~c of Comp, unds by Funct~onal Groups 39 it should simulate the type of motions available to the molecule, particularly bond rotation. For example, it is known that rotation normally occurs about single bonds in open-chain compounds but is restricted about double bonds. Motions of this kind are demonstrated easily with ball-and-stick models, but are not at all obvious with the space-filling type. For this reason, ball-andstick models or their equivalent are more generally useful than the space-filling models for visualizing structures and the positions of the atoms relative to one another. 2-3 CLASSIFICATION OF ORGANIC COMPOUNDS BY FUNCTIONAL GROUPS There are a number of recurring types of structural features in organic compounds that commonly are known as functional groups. In fact, a traditional approach to the subject of organic chemistry involves the classification of compounds according to their functional groups. Thus the structural features C=C, C e C , CEO, OH, NH,, and C s N are the functional groups of alkenes, alkynes, carbonyl compounds, alcohols, amines, and nitriles, respectively. I t will be helpful to look at the structural features of some of the major types of organic compounds even though the details of their chemistry will not be discussed until chapters. later Examples of structures arranged in accord with their functional groups are given in Table 2-2. The examples chosen are representative of compounds containing carbon and hydrogen (hydrocarbons) as well as compounds containing halogens, oxygen, nitrogen, and sulfur. We do not expect you to memorize this table. In time you will become familiar with all of the types of structures in it. In Table 2-2 we generally have used systematic names as first-choice names because these names emphasize the relationships between the compounds and ease the burden of the beginning student in having to remember many special names. We have little hope that systematic names such as methanal, 2-propanone, and ethanoic acid soon will replace the commonly used nonsystematic names formaldehyde, acetone, and acetic acid. But there is no question that every organic chemist knows what compounds the names methanal, 2-propanone, and ethanoic acid represent, so the beginner can communicate with these names and later become familiar with and use the special names. We will have more to say on this subject in Chapter 3. Exercise 2-1 Draw the Lewis electron-pair structure of 2-propanone (acetone) clearly showing the bonding and nonbonding electron pairs in the valence shell of each atom. Draw structural formulas for other compounds having the composition C,H,O that possess a. an aldehyde function. c. an alcohol function and a double bond. b. an ether function in a ring. d. an alcohol function and a ring. 40 2 Structural Organic Chemistry The Shapes of Molecules Functronal Groups 2-3A How Are Functional-Group Classifications Useful? 2-3A How Are Functional-Group Classifications Useful? One of the main reasons for classifying compounds by their functional groups is that it also classifies their chemical behavior. By this we mean that the reactions of compounds and, to some extent, their physical properties are influenced profoundly by the nature of the functional groups present. Indeed, many organic reactions involve transformations of the functional group that do not affect the rest of the molecule. For instance, alcohols, R-OH, can be transformed into a number of other compounds, such as organic halides, R-C1 or and amines, R-NH2 without changing the strucR-Br; ethers, R-0-R; ture of the hydrocarbon group R. Furthermore, any compound possessing a particular functional group may be expected to exhibit reactions characteristic of that group and, to some extent at least, of inorganic compounds with similar functional groups. A good example of the use of the functional-group concept is for acidbase properties. Alcohols, ROH, are structurally related to water, HOH, in that both possess a hydroxyl function. We may then expect the chemistry of alcohols to be similar to that of water. In fact, both are weak acids because the O H group has a reactive proton that it can donate to a sufficiently strongly basic substance, written as :B here: Water and alcohols both are weak bases because the oxygens of their O H groups have unshared electron pairs to use in bonding with a proton donated by an acid, HA: We can carry the analogy further to include carboxylic acids, RC02H, which also have a hydroxyl function. They also should possess acidic and basic properties. They do have these properties and they are, in fact, stronger acids than either water or alcohols and form salts with bases: Amines, RNH,, are structurally related to ammonia, NH,, and Ge therefore may predict that they will have similar properties. A property" of ammonia that you probably will have encountered earlier is that it acts as a 42 2 Structural Organic Chemistry The Shapes of Molecules Functional Groups base and forms salts with acids. Amines behave likewise: It is with logic of this kind- inferring chemical behavior from structural analogies - that much of organic chemistry can be understood. There are other logical classification schemes, however, and one of these depends more on types of reactions than on functional groups. 2-3B Classifications by Reaction Types The rationale of classification by reaction types is that different functional groups may show the same kinds of reactions. Thus, as we have just seen, alcohols, carboxylic acids, and amines all can accept a proton from a suitably strong acid. Fortunately, there are very few different types of organic reactions -at least as far as the overall result that they produce. The most important are acid-base, substitution, addition, elimination, and rearrangement reactions. Some examples of these are given below, and you should understand that these are descriptive of the overall chemical change and nothing is implied as to how or why the reaction occurs (also see Section 1-11). Substitution of one atom or group of atoms for another: CH, C1, CH,Cl HCl CH,OH HBr -+ CH,Br H 2 0 + + - + + Addition, usually to a double or triple bond: H2C=CH2 Hz --+ H3C-CH, HCECH 2C1, + C1,CH-CHC1, + + Elimination, which is the reverse of addition: CH,CHzC1 --+ CH2=CHz HC1 CH3CH20H-+ CHz=CH2 H,O + + Rearrangement where one structure is co verted to an isomeric structure: I: Certain reactions commonly are described as either oxidation or reduction reactions and most simply can be thought of as reactions that result in changes in the oxygen or hydrogen content of a molecule by direct or indirect 2-38 Classifications by Reaction Types reactions with oxygen or hydrogen, respectively. They frequently fall into one of the categories already mentioned. Reduction of ethene to ethane is clearly addition, as is oxidation of ethene to oxacyclopropane: CH2=CH2 + Hz - CH3-CH, reduction oxacyclopropane Reactions that lead to substantial degradation of molecules into smaller fragments are more difficult to classify. An example is the combustion of ethane to carbon dioxide and water. All of the chemical bonds in the reactants are broken in this reaction. It seems pointless to try to classify this as anything but a complete combustion or oxidation reaction: Exercise 2-2 Classify each of the following reactions as a substitution, addition, elimination, rearrangement, oxidation-reduction, or acid-base proton-transfer reaction: HC=CH f. H,C-CH, I I - CH-CH CH, I CH, II g. CICH,CH,CI + KOH + CH,=CHCI + KC1 + H,O 2 Structural Organic Chemistry. The Shapes of Molecules. Functional Groups h. CH3C=C:Na i. CH3CI 00 00 + CH30H + NaOCH, - - CH3C=CH + NaOCH, 00 CH30CH3 + NaCl 00 Exercise 2-3 Write a balanced equation for the complete combustion of benzene, CH to CO, and H,O, and for the incomplete combustion of benzene to CO and H,O. ,, Exercise 2-4 How many grams of bromine wlll react by addition with (a) 20 g of ethene (b) 20 g of ethyne7 Exercise 2-5 Write balanced equations for the reactions of (a) metallic sodium with water, (b) metallic sodium with methanol, (c) sodium hydride with water, and (d) sodium hydride with ethanol. Exercise 2-6 Write balanced equations for the reactions of (a) ammonia with sulfuric acid, (b) CH,CH,NH, with sulfuric acid, (c) sodium hydroxide with ammonium 00 chloride, and (d) sodium hydroxide with CH,CH,NH,CI. 2-4 ISOMERISM IN ORGANIC COMPOUNDS More than one stable substance can correspond to a given molecular formula. Examples are butane and 2-methylpropane (isobutane), each of which has the molecular formula C,H,,. Similarly, methoxymethane (dimethyl ether) and ethanol have the same formula, C,H,O: butane methoxymethane (d~methyl ether) C2HeO ethanol 2-4A Position Isomers Compounds having the same number and kind of atoms are called isom e r ~ Whereas only one stable substance is known corresponding to the for.~ mula CH,, thirty-five stable isomers have been prepared of the formula C,H,,. From this one may begin to sense the rich variety of organic chemistry, which leads to many problems - in telling one compound from another, in determining structures, and also in finding suitable names for compounds. In the rest of this chapter we will describe one type of isomer-the position isomer-and in later chapters we will discuss another type of isomer- the stereoisomer-and the experimental approaches that are used to establish the purity, identity, structure, and stereochemistry of organic compounds. 2-4A Position Isomers Compounds having the same number and kind of atoms but having different bonding arrangements between the atoms are called position isomers. Butane and 2-methylpropane are examples of position isomers. The atoms are connected differently in the two structures because the carbon chain in butane is a straight or continuous chain, whereas in 2-methylpropane it is branched: c-c-c-c cont~nuous chain c-c-c branched c h a ~ n Therefore these two molecules are structurally different and, accordingly, do not have the same chemical and physical properties. They cannot be converted one into the other without breaking and remaking C-C and C-H bonds. Methoxymethane and ethanol are also position isomers because the oxygen clearly is connected differently in the two molecules: CH3-0-CH, methoxymethane CH3-CH2-OH ethanol The term position isomer means the same as constitutional isomer. The designation structural isomer also is used, but this term is taken by some to include both position isomers and stereoisomers; that is, "structure" can mean both the way in which atoms are connected and their different arrangements in space. The number of position isomers possible for a given formula rapidly increases with the increasing number of carbon atoms, as can be seen from the number of theoretically possible structures of formula C,H,,+, up to n = 10 given in Table 2-3. In 1946, it was reported that all of the 75 compounds with values of n = 1 to n = 9 had been prepared in the laboratory. Before we can begin to discuss the chemistry of these compounds it is necessary to know how 2Theprefix iso is from the Greek word meaning the same or alike. 2 Structural Organic Chemistry The Shapes of Molecules. Functional Groups Table 2-3 Alkanes ( , , CH +,) No of carbons ( n ) Name No of lsomers methane ethane propane butane pentane hexane heptane octane nonane decane elcosane tr~acontane to name them; without convenient and systematic rules for nomenclature that are adopted universally, catastrophic confusion would result. We shall tackle this problem in the next chapter. H Exercise 2-7 Draw structural formulas of the type I B represent~ng each of the required number of isomers for the following formulas. Be sure to use the normal valences for all of the atoms. Table 2-2 will be helpful to indicate possible structural types of various isomers. a. C,H, (three) f. C,H,CI (at least three) g. C6H6(at least five; more than 100 can be written!) b. C3H4Br, (four) h. C,H,O, (at least four) c. C,H40 (three) d. C4H, (four) i. C3H40(at least three) j. C,H3N (at least three) e. C,H,N (four) Supplementary Exercises 2-8 Draw Lewis electron-pair structures for the following substances whose structural formulas are given. Use distinct, correctly placed dots for the electrons and show Supplementary Exerc~ses 47 both the bonding and nonbonding pairs. Mark all atoms that are not neutral with charges of the proper sign. a. propane, CH,CH,CH, g. methoxymethane, CH30CH3 b. methylcyclopropane, (CH,),CHCH, h. ethanal, CH,CHO c. propadiene, CH,=C=CH, i. ethanoic acid, CH,CO,H d. propyne, HC-CCH, j. benzenamine, C,H,NH, e. benzene, C6H, k. nitromethane, CH,NO, f. tetrafluoroethene, F,C=CF, I. benzenecarbonitrile, C,H,C-N 2-9 Wr~te expanded structural formula w ~ t h l ~ n e each bond (I~ke formulas an a for the on p 32) for each of the following substances whlch are represented by a condensed formula a. CH,CH(CH,), f. CH3C02C,H5 b. CH3CCCH3 g. CH,CHCHO c. (CH2)4 h. C6H,N0, d. CH,CHCCH i. C,H5CN e. CH3CONHCH3 j. (CH,O),CO 2-10 Free rotation generally occurs around C-C single bonds (see Section 1-IE). Thus the following structural formulas are of the same compound, 2,3-dimethylbutane, because rotation about the central C-C bond makes the structures identical: II CH3-C-C-CH, II H CH, H CH, CH, CH,-C-C-CH, H ~dent~cal CH, I I H I I For the following structural formulas, determine which represent the same compound and which do not. H H H H H CI a. II CI-C-C-H II H H II H-C-C-H II H CI II H-C-C-H II H H 48 2 Structural Organic Chemistry The Shapes of Molecules. Functional Groups CH3-CH-CH, d. CH3-C-CH, CH3 I CH, CH,-C-CH-CH, CH3 I CH, I CH3 CH,-CH-C-CH, CH, I CH, I I e. I I CH,-C-C-CH, I I CH, CH,-CH, CH3 c3 y CH3 CH-C(CH,),CH,CH, CH3 CH3-CH,-C-C-CH, H I CH3 I , H / I CH, I 2-11 Write all the structural formulas you can for the different covalent isomers of the following molecular formulas. All the atoms should have their normal valences (i.e., monovalent for hydrogen and halogens, divalent for oxygen, trivalent for nitrogen, and tetravalent for carbon). a. C3H, (two) d. C2H,CIF (two) b. C3H4(three) e. C,H,N (four) c. C,H40 (three) f. C4H,CI (four) 2-12 With reference to Table 2-2 if necessary, draw structural formulas that satisfy the following descriptions: a. three position isomers of C,H40, with a carbonyl group ( C=O). / b. four position Isomers of C,H,,O with a hydroxyl group ( O H ) . c. a compound of formula C,H,, that would have all its hydrogens located in chemically identical positions. (Chemically identical means that if one were to substitute a bromine for any one of the hydrogens, the same monobromo compound would be formed.) d. a compound of formula C,H,ON with two chemically different methyl groups and an amide function. e. two compounds of formula C4H,0, one of which is an aldehyde, the other a ketone. f. two compounds of formula C3H,02, one of which is a carboxylic acid, the other a carboxylic ester. g, two compounds of formula C,H,O, both with C=O groups. h. a compound of formula C,H,,N2 in which all the hydrogens are located in chemically identical positions and both nitrogens are present as nitrile functions. \

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OH_MacCready.pdf
Path: Caltech >> H >> 128 Spring, 2008
Description: PAUL B. MACCREADY (1925 - 2007) INTERVIEWED BY SARA LIPPINCOTT February March 2003 ARCHIVES CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California Subject area Abstract Engineering, aeronautics An interview in three sessions with Paul B. MacCre...
410.pdf
Path: Caltech >> H >> 128 Spring, 2008
Description: The Journal of Neuroscience, March 15, 2002, 22(6):23742382 Stimulus Encoding and Feature Extraction by Multiple Sensory Neurons Rudiger Krahe,1 Gabriel Kreiman,2 Fabrizio Gabbiani,3 Christof Koch,2 and Walter Metzner1 Department of Biology, Univer...
ICS-130 VxWorks SDK manual.pdf
Path: Caltech >> H >> 130 Spring, 2008
Description: ICS-130 VxWORKS DEVICE DRIVER MANUAL December 1998 The information in this manual has been carefully checked and is believed to be reliable; however, no responsibility is assumed for possible inaccuracies or omissions. Interactive Circuits and System...
130.pdf
Path: Caltech >> H >> 130 Spring, 2008
Description: ...
CDS95-026.pdf
Path: Caltech >> H >> 130 Spring, 2008
Description: CDS TECHNICAL MEMORANDUM NO. CIT-CDS 95-026 September, 1995 \"Hm optimization with spatial constraints\" Raffaello D\' Andrea Control and Dynamical Systems California Institute of Technology Pasadena, CA 91125 I H , optimization with spatial constrai...
OH_Sabersky.pdf
Path: Caltech >> H >> 131 Winter, 2008
Description: ROLF H. SABERSKY (1920 ) INTERVIEWED BY SHELLEY ERWIN April 3 and 12, 1990 By Floyd Clark, 1977. Courtesy CIT Public Relations. ARCHIVES CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California Subject area Mechanical engineering Abstract An inte...
hamiltonian_2005.pdf
Path: Caltech >> H >> 131 Winter, 2008
Description: Introduction to Hamiltonian Systems CDS140B Lecturer: Wang Sang Koon winter, 2005 1 Introduction H , pi H . qi Consider a C 2 function of 2n variables qi , pi H : R2n R, then the Hamiltonian equations are qi = It can be written in a compact form...
normal_form_2005.pdf
Path: Caltech >> H >> 131 Winter, 2008
Description: Normal Forms Theory CDS140B Lecturer: Wang Sang Koon Winter, 2005 1 Normal Form Theory To nd a coordinate system where the dynamical system take the simplest Introduction. form. The method is local in the sense that the coordinate transforms are...
7007.pdf
Path: Caltech >> H >> 135 Spring, 2008
Description: ...
TheMonth.pdf
Path: Caltech >> H >> 135 Spring, 2008
Description: THE MONTH A T C A L T E C H New Moon OBSERVATIONS and computations have confirmed the discovery of a new moon of Jupiter (E&S-November, 1951) by Dr. Seth B. Nicholson of the Mount Wilson and Palomar Observatories. The object was found on a photograph...
PAT079.pdf
Path: Caltech >> H >> 135 Spring, 2008
Description: J. S. Patton George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332 Assoc. Mem. A M SE C. E. Brennen Mem. A M SE Shear Flows of Rapidly Flowing Granular Materials Shear flows of granular materials ar...
Personals.pdf
Path: Caltech >> H >> 135 Spring, 2008
Description: PERSONALS 1918 Munson 1. Dowd is consulting engineer for the Imperial Irrigation District in El Centre, Calif. He is also a member of the Districts Securities Commission of the State of California. I n his student days Dowd was fullback on the footba...
138.pdf
Path: Caltech >> H >> 138 Winter, 2008
Description: 51 14 for the analogous molecular reaction, eq 3. J . Am. Chem. SOC.1980, 102, 5114-5115 Scheme I Acknowledgment is made to the donors of the Petroleum Research Fund, administered by the American Chemical Society, the National Science Foundation, N...
Calc2student_Front_Matterw.pdf
Path: Caltech >> H >> 138 Winter, 2008
Description: Frederick H.Soon Student\'s Guide to by J. Marsden and A. Weinstein Volume II Springer-Verlag New York Berlin Heidelberg Tokyo Student\'s Guide to Calc~llus by J. Marsden and A. Weinstein Volume II Copyright 1985 Springer-Verlag. All rights reserv...
Marcus_OHO.pdf
Path: Caltech >> H >> 139 Spring, 2008
Description: RUDOLPH A. MARCUS (1923 ) INTERVIEWED BY SHIRLEY K. COHEN December 1, 7, and 14, 1993 By Bob Paz, 1989. Courtesy CIT Public Relations ARCHIVES CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California Subject area Chemistry Abstract An interview in...
139.pdf
Path: Caltech >> H >> 139 Spring, 2008
Description: ...
Clark.pdf
Path: Caltech >> H >> 140 Winter, 2008
Description: HOW DO YOU L I K E YOUR JOB? A reminder that Caltech\'s Alumni Placement Service can help you do something about it by DONALD S. CLARK Director of Placements tablished at Caltech. under the joint auspices of the Institute and the Alumni Aqsociation....
PRE221.pdf
Path: Caltech >> H >> 140 Winter, 2008
Description: Fifth international Symposium on Cavitation (CAV2003) Osaka, Japan, November 1-4,2003 REDUCED-ORDER MODELING OF DIFFUSIVE EFFECTS ON THE DYNAMICS OF BUBBLES A1 Preston Tim Colonius* Christopher E. Brennen Division of Engineering and Applied Scienc...
7702.pdf
Path: Caltech >> H >> 140 Winter, 2008
Description: ...
postscript.pdf
Path: Caltech >> H >> 140 Winter, 2008
Description: x ~ h h od h v~ y qsR%TF05%WRFP%!RwPtmsr w W uwfww v kg r e d he } g e l x | r { o z frpwPmle mme V tzr w W u9uwmmewuxrrrg z umw W kd uuzny z |wC9rXel d x y r tr ytrp ` x ` ytrp ` x Uxusp b uwva0 uusqo0 w0 y x ...
Osterbrock_OHO.pdf
Path: Caltech >> H >> 141 Spring, 2008
Description: DONALD E. OSTERBROCK (1924 2007) INTERVIEWED BY SHIRLEY K. COHEN February 10, 2003 Photo courtesy Don Harris, UCSC Photo Services ARCHIVES CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California Subject area Astronomy; astrophysics Abstract In t...
7703.pdf
Path: Caltech >> H >> 141 Spring, 2008
Description: ...
141.pdf
Path: Caltech >> H >> 141 Spring, 2008
Description: Adaptation of Current Signals with Floating-Gate Circuits Alberto Pesavento Department of Electrical Engineering California Institute of Technology Pasadena, CA, 91125 alberto@klab.caltech.edu Chris Diorio Department of Computer Science and Engineeri...
CDS96-004.pdf
Path: Caltech >> H >> 141 Spring, 2008
Description: CDS TECHNICAL MEMORANDUM NO. CIT-CDS 96-004 March, 1996 \"Generalized t 2 Synthesis\" Raffaello D\'Andrea Control and Dynamical Systems California Institute of Technology Pasadena, CA 91125 Generalized l2 Synthesis Raffaello D\'Andrea*t Electrical Eng...
SethEtal_PNAS2006.pdf
Path: Caltech >> H >> 162 Fall, 2008
Description: Classification: Biological Sciences: Neuroscience Theories and Measures of Consciousness: An Extended Framework Anil K. Seth1, Eugene M. Izhikevich1, George N. Reeke1,2, Gerald M. Edelman1 1 The Neurosciences Institute, 10640 John Jay Hopkins Drive...
news.pdf
Path: Caltech >> H >> 162 Fall, 2008
Description: Annual Meeting RECORD NUMBER of 373 alumni met at the Elks Club in Pasadena tor the Annual Banquet and Meeting on June 8. President DuBridge reported to alumni on developments at the Institute during the past yearand announced that for the second co...
8504.pdf
Path: Caltech >> H >> 162 Fall, 2008
Description: ...
burbidge.pdf
Path: Caltech >> H >> 166 Winter, 2008
Description: ombined research from four fields of science-physics, astrophysics, astronomy and geochemistry-leads to a new theory of the synthesis of the elements in stars ET and GEOFFREY 8 MANY YEARS physicists and astronomers ve speculated on the origin of t...
8602.pdf
Path: Caltech >> H >> 166 Winter, 2008
Description: ...
news.pdf
Path: Caltech >> H >> 166 Winter, 2008
Description: oard Nominations HE BOARD OF DIRECTORS of the Alumni Association met as a nominating committee on February 28. 1956. in accordance with Section 3.04 of the By-Laws. Five vacancies will occur o n the Board at the end o f the current fiscal year. one v...
themonth.pdf
Path: Caltech >> H >> 166 Winter, 2008
Description: Rare Books A COLLECTION of 300 rare scientific books, i n cluding first editions of Calileo- Coperriicus and kepler, were forrnally presented to Caltech last month by a trustee of the h t i t u t e . Purchased from Dr. Giarnpaolo Rocco of Florence. ...
main-full.pdf
Path: Caltech >> H >> 168 Winter, 2008
Description: Periodically Controlled Hybrid Systems Verifying A Controller for An Autonomous Vehicle Tichakorn Wongpiromsarn1, Sayan Mitra2 , Richard M. Murray1 , and Andrew Lamperski1 2 California Institute of Technology University of Illinois at Urbana Champai...
8701.pdf
Path: Caltech >> H >> 168 Winter, 2008
Description: ...
ProulxEgethPBRpreproof.pdf
Path: Caltech >> H >> 168 Winter, 2008
Description: Stimulus-driven attention Running Head: STIMULUS-DRIVEN ATTENTION 1 This is a pre-proof print. The original publication is available at http:/www.ingentaconnect.com/content/psocpubs/pbr/2006/00000013/00000003/art00024 Target-nontarget similarity m...
8703.pdf
Path: Caltech >> H >> 170 Spring, 2008
Description: ...
personals.pdf
Path: Caltech >> H >> 170 Spring, 2008
Description: SONALS 1920 Viigil H. Best has been retired fiom his duties as a science teacher for the public schools for the past two years. He now has his own business at home designing and constructing machines. Stu\'s son entered Stanford Medical School this fa...
HUN188.pdf
Path: Caltech >> H >> 170 Spring, 2008
Description: PHYSICS OF FLUIDS VOLUME 11, NUMBER 1 JANUARY 1999 Effects of horizontal vibration on hopper ows of granular materials M. L. Hunt, R. C. Weathers, A. T. Lee, and C. E. Brennen Division of Engineering and Applied Science, California Institute of Te...
issue.pdf
Path: Caltech >> H >> 170 Spring, 2008
Description: ENGINEERING IN THIS AND AT THE SCIENCE VOLUME XX ISSUE NOVEMBER, 1956 PUBLISHED NUMBER 2 OF TECHNOLOGY CALIFORNIA INSTITUTE CONTENTS In This Issue Letters The President\'s Report Highlights from Dr. DuBridge\'s report on institute activities t...
seminar.pdf
Path: Caltech >> H >> 174 Winter, 2008
Description: T W E N T I E T H ANNUAL A L U M N I S E M I N A R 8:30-9:15 A.M.-REGIST Dabney Hall of the Humanities MORNING PROGRAM 9:3O- 10:20 A.M. One of the following: - SATURDAY. APRIL 6. 1957 ini~i1e-s.This remarkable change has been made possible by the ...
news.pdf
Path: Caltech >> H >> 174 Winter, 2008
Description: MNI NEWS Board Nominations L. FORTk r nK R received liii r ciation met as a nominating committee on February 26. 1957. in accordance with Section 5.01 of the By-Law?. Five vacancies will occur on the Board at the e n d of the fiscal year. one vac...
Yu-Nam-FEBS-426,174(1998).pdf
Path: Caltech >> H >> 174 Winter, 2008
Description: FEBS Letters 426 (1998) 174^178 FEBS 20100 Topological localization of cysteine 74 in the GABA transporter, GAT1, and its importance in ion binding and permeation Nam YuI , Yongwei CaoP , Sela MagerQ , Henry A. Lester* Division of Biology 156-29, C...
SFSU-ElectronicStructure-Lect-2.ppt
Path: Caltech >> H >> 2 Winter, 2008
Description: PostHartreeFockMethods (Lecture2) NSFComputationalNanotechnologyandMolecularEngineering PanAmericanAdvancedStudiesInstitutes(PASI)Workshop January516,2004 CaliforniaInstituteofTechnology,Pasadena,CA AndrewS.Ichimura Outline Shortcomingsoft...
assignment-2.pdf
Path: Caltech >> H >> 2 Winter, 2008
Description: ph 21.2 Planetary Grand Tour, Part I Introduction There have been seven spacecraft sent to explore one or more of the outer planets: the two Pioneers, the two Voyagers, Ulysses, Galileo, and (most recently) Cassini. Among these, Voyager has gained a...
BERjfm07.pdf
Path: Caltech >> H >> 2 Winter, 2008
Description: c 2007 Cambridge University Press J. Fluid Mech. (2007), vol. 581, pp. 495505. doi:10.1017/S0022112007006192 Printed in the United Kingdom 495 Direct numerical simulations of vortex rings at Re = 7500 M I C H A E L B E R G D O R F1 , P E T R O S K ...
BERcc07.pdf
Path: Caltech >> H >> 2 Winter, 2008
Description: COMMUNICATION www.rsc.org/chemcomm | ChemComm Enhanced selectivity in the conversion of methanol to 2,2,3-trimethylbutane (triptane) over zinc iodide by added phosphorous or hypophosphorous acid{ John E. Bercaw, Robert H. Grubbs, Nilay Hazari, Jay ...
300.pdf
Path: Caltech >> H >> 300 Summer, 2008
Description: The valence-bond charge-transfer-exciton optical properties (hyperpolarizabilities of polymeric materials model for predicting and saturation length) nonlinear Daqi Lu, Guanhua Chen,a) and William A. Goddard lllb) Materials and Molecular Simulatio...
Keightley_1964.pdf
Path: Caltech >> H >> 300 Summer, 2008
Description: ...
research.pdf
Path: Caltech >> H >> 300 Summer, 2008
Description: Research Notes Learning about Learning The brains of laboratory rats may seem unlikely-or at least unflatteringplaces to look for information about human brain function, but a learning experiment being conducted by James Olds, Bing Professor of Beha...
Hopfch3-3A-3B-3C.pdf
Path: Caltech >> H >> 3a Winter, 2008
Description: THE HOPF BIFURCATION AND ITS APPLICATIONS 63 SECTION 3 THE HOPF BIFURCATION THEOREM IN R 2 n AND IN R The center manifold theorem is used to reduce bifurcation problems to finite dimensional ones as follows. Consider a one parameter family of maps...
Cpm08-inss.pdf
Path: Caltech >> H >> 3b Winter, 2008
Description: Networked Sensing Systems for Detecting People Carrying Radioactive Material Mani Chandy, Concetta Pilotto and Ryan McLean California Institute of Technology Pasadena, CA 91125 Email: mani@cs.caltech.edu Abstract The goal of the research described i...
2007-04-13_ICRA2007.pdf
Path: Caltech >> H >> 3c Winter, 2008
Description: Intelligent Information-Gathering: Using Control for Decision-making Timothy H. Chung and Joel W. Burdick California Institute of Technology A Decision-Making Framework for Control Strategies in Probabilistic Search. IEEE Intl. Conf. Robotics and Aut...
Lecture6-constellation.pdf
Path: Caltech >> H >> 3c Winter, 2008
Description: Lecture 6,7: Detecting and labelling constellation-objects in noise P. Perona California Institute of Technology EE/CNS148 - Spring 2006 1 Introduction Consider an object (object class) composed of F parts. Each part has a number of coordinates (p...
Boekenkamp.98.AnChem.quenchflow.pdf
Path: Caltech >> H >> 98 Winter, 2008
Description: Anal. Chem. 1998, 70, 232-236 Microfabricated Silicon Mixers for Submillisecond Quench-Flow Analysis Dirk Bokenkamp, Amish Desai, Xing Yang, Yu-Chong Tai, Elaine M. Marzluff, and 1 Stephen L. Mayo*, Division of Biology, Caltech Micromachining Labor...
Cao-JNS-98.pdf
Path: Caltech >> H >> 98 Winter, 2008
Description: The Journal of Neuroscience, October 1, 1998, 18(19):77397749 Amino Acid Residues that Control pH Modulation of TransportAssociated Current in Mammalian Serotonin Transporters Yongwei Cao, Ming Li, Sela Mager, and Henry A. Lester Division of Biology...
99a.pdf
Path: Caltech >> H >> 99a Winter, 2008
Description: Proceedings of DETC99 1999 ASME Design Engineering Technical Conferences September 12-15, 1999, Las Vegas, Nevada, USA DETC99/DTM-8757 GENETIC ALGORITHMS IN FUZZY ENGINEERING DESIGN Ralf Schleiffer German Aerospace Center Department of Transport Res...
MALN_68-69.pdf
Path: Caltech >> ART >> 69 Winter, 2008
Description: ...
Munger_Africana_Library_Notes_62.pdf
Path: Caltech >> ART >> 69 Winter, 2008
Description: ...

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