Numbering attachment

Rings in cyclic structures are broken with a unique number attached to the two atoms at each break point. A single atom may involve in multiple ring breakages. In this case, it will have multiple numbers attached to it with each number corresponding to a single break point. 

The stereochemistry of the reaction of 1122 with each of the three geometrical isomers of 2,4-hexadiene is shown in Scheme 2.22 There are only four products, the trans-trans diene yielding two, the cis-cis diene the other two, and the trans-cis diene all four. The numbers attached to the arrows show the... 

The number of reagents and the symbols of monomers (A,B,C etc.) have to be entered The number attached to the sequences only show the original position of the units The number of units in a block to be delivered is indicated by red numbers. 

PC and ST refer to two different model scenarios, i.e. perfect competition (PC) and oligopolistic (or strategic) competition (ST). Numbers attached to these abbreviations, such as PCO or PC20, indicate a scenario without emissions trading (C02 price is 0) versus a scenario with emissions trading (at a price of 20/tCO2). The additions ze and le refer to a zero price elasticity and low price elasticity (0.1), respectively, compared with the baseline scenario with a price elasticity of 0.2. 

Figure 4 Electronic energy level diagram for Pbn, n = 3 — 14. Degeneracies are indicated by a number attached to the level. A vertical bar indicates the HOMO-LUMO gap.

The numbers attached are those from Dravniek s scheme of 146 odour qualities, jm which the following can usefully be added ... 

On receipt of the organic carcasses, all the documentation which arrives with the product must be checked. In particular the carcasses must have been stamped with their organic symbol, and have a reference number attached for traceability to continue through the primal cutting process. 

Numbers attached to edges represent the numbers of elementary steps needed for transformation of the synthon into its successor (including stabilization of leaving groups, (Eqs. 44-46) ... 

We have described titration curves as records of the number of hydrogen ions attached to a protein molecule at any pH, relative to the number attached at an arbitrary reference pH. It is advantageous however to choose as reference point a position on the titration curve which has physical significance. There are three such positions ... 

Fig- 22. Conformation of the chelate rings in the crystal structure of (-)589-(/e/2oh)-[Co(chxn)3]Cl3 5 H2O. Numbers attached to each carbon atom indicate the distances from the coordination plane (Ref. 38)... 

Fig. 18.VmJ. Vapour Pressure Curves. Abscissae in degrees C., ordinates vapour pressures in mm. Hg. The substances corresponding with the numbers attached to the curves are 1 ammonia, 2 chlorine, 3 methyl ether, 4 cyanogen, 5 sulphur dioxide, 6 ethyl chloride, 7 isopentane, 8 ethyl ether, 9 pentane, 10 carbon disulphide, 11 ethyl formate,...

Figure 4.8 Experimental plots of the number of nuclei vs. time in the electrodeposition of mercury on Ft at different overvoltages [4.37]. The time coordinate gives the length of the nucleation pulse in ms its amplitude in mV is given by the numbers attached to the corresponding curves.

Figure 12-7 shows the regioselectivity of alkene attachment to aryl groups for a number of alkenes.96 The arrows with numbers attached indicate the relative tendency of the aryl group to add to the two carbons of the alkene. Although electronic effects may play a small role in directing attack by the metal in the insertion step, steric effects seem to be the dominant factor by far. 

Figure 5. Membrane performance vs. cyclohexanone content in the additive solution. Numbers attached to each curve indicate the amount of additive solutions in weight percent of dope.

Figure 7.8. The upper and lower panels show the moments and the total energy respectively, as a function of the spin spiral wave vector. The numbers attached to curves in the low er panel indicate the corresponding lattice parameter at which the spectrum is calculated. In the upper panel these labels are not shown since the moment increases monotonically with volume for all q vectors. The inset provides a close up of the spectrum in the low volume limit.

The steroid nucleus with its numbered carbon skeleton is shown in Fig. lA. By convention the hydrogen atoms are not shown, and the number attached to any carbon atom is obtained by subtracting the number of carbon-carbon bonds to it from 4, the valency of carbon. In particular it should be noted that the carbon atoms 18 and 19 are normally the centers of methyl groups often referred to as the 18- and 19-methyl groups although this is, strictly speaking, inaccurate. 

The numbers attached to the spectra give the accumulated annealing time In hours. (From Ref [24].)... 

Notice that only the nonrelativistic value of the orbital angular momentum quantum number attached to the large component, appears above. 

There will always be a number attached to statements of purity. For example, there may be a claim that a chemical is 99% pure or contains less than 1% of other components. The other components may have specified upper limits. For example, a product may be labelled as a-pinene containing no more than 0.1% -pinene. The ultimate purity limit will always be determined by the limit on the ability to analyse the product. If, for the sake of argument, P-pinene could not be determined at concentrations below 1 part per billion (ppb) in a-pinene, then the purest grade of a-pinene could not claim any better than less than 1 ppb p-pinene . 

The transport of water by the ions was first measured by Washburn. Using the Hittorf method, a reference substance such as sugar or urea is added to the solution. Presumably the reference substance does not move in the field, and the transport of the solvent can be calculated from the analysis of the solution in the three compartments. If a value is assumed f or the number of water molecules attached to one ion, a value f or the number attached to the other ion can be calculated. Presently other methods for evaluation of hydration numbers are preferred—from measurements of the partial molar volume of the salt in the solution, for example. The different methods are internally consistent but often do not agree well with each other. It is generally assumed that the negative ions are not hydrated. Then the hydration numbers are, approximately Li", 6 Na", 4 K", 2 Rb", 1. 

Ca (0,lZi> A), as a function of equivalent coiKentration ratio, C,/Q, of ded cation (Cg) to polyion (C ) for dextran derivatives (a) CMD (b) DS and (c) DP. The numbers attached to the abbreviated sample names show the degree of substitution of ionic groups. The mark J, above the curves shows the appearance of... 

Figure 9.17. Long-time rate constant of forward reaction as a function of coupling in a stochastic Markovian model of reversible ET assisted by a fast vibrational mode for AG = 0, El = ISfegT and several values of E /El (numbers attached to the curves). Bold lines illustrate the large-coupling limit estimated from Eq. (9.77). Note that here we have fixed. (Reproduced from [309].)...

Figure 9.21. Long-time rate constant k 2 as a function of AG (in units of k T) for E = E" = 9k T, and several values of KxJk- T (numbers attached to the curves). Circles corresponds to an irreversible reaction with KXi/ksT= 10 . The cusp for strong coupling values is not a numerical error but the result of crossing of two lowest eigenvalue branches. (Reproduced from [309] with permission. Copyright (2001) by the American Institute of Physics.)...

Figure 3. S AXS and SANS scattering intensities for a Si02 PDMS composiie thought be be bicontinuous, shown as a function of the scattering vector (in reciprocal A). The numbers attached to the two curves give values of the terminal slope, which is of interest with reg to charactoizing the interfaces.

Fig. 4-4. Subchain expansion factors as a function of subchain location i at different subchain lengths (indicated by the number attached to each curve).

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