Asymmetry

A good, uniformly packed and WCOT column should give an asymmetry ratio of between 0.9 and 1.2. 

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SHG Optical second-harmonic generation [95, 96] A high-powered pulsed laser generates frequency-doubled response due to the asymmetry of the interface Adsorption and surface coverage rapid surface changes... 

J, J. Halliwell, J. Perez-Mercader, and W. H. Znrek, eds.. Physical Origin of Time Asymmetry, University Press, Cambridge, 1994. 

Asymmetry in a similarity measure is the result of asymmetrical weighing of a dissimilarity component - multiplication is commutative by definition, difference is not. By weighing a and h, one obtains asymmetric similarity measures, including the Tversky similarity measure c j aa 4- fih + c), where a and fi are user-defined constants. The Tversky measure can be regarded as a generalization of the Tanimoto and Dice similarity measures like them, it does not consider the absence matches d. A particular case is c(a + c), which measures the number of common features relative to all the features present in A, and gives zero weight to h. 

Each of the elements of Jc, Ja, and Jb must, of eourse, be multiplied, respeetively, by l/2Ic, 1/21 a, and l/2Ib and summed together to form the matrix representation of Hj-ot- The diagonalization of this matrix then provides the asymmetrie top energies and wavefunetions. 

So, of the 9 eartesian displaeements, 3 are of ai symmetry, 3 of b2,2 of bi, and 1 of a2- Of these, there are three translations (ai, b2, and b i) and three rotations (b2, b i, and a2). This leaves two vibrations of ai and one of b2 symmetry. For the H2O example treated here, the three non zero eigenvalues of the mass-weighted Hessian are therefore of ai b2, and ai symmetry. They deseribe the symmetrie and asymmetrie streteh vibrations and the bending mode, respeetively as illustrated below. 

The eigenfunetions of J2, Ja (or Jc) and Jz elearly play important roles in polyatomie moleeule rotational motion they are the eigenstates for spherieal-top and symmetrie-top speeies, and they ean be used as a basis in terms of whieh to expand the eigenstates of asymmetrie-top moleeules whose energy levels do not admit an analytieal solution. These eigenfunetions J,M,K> are given in terms of the set of so-ealled "rotation matrices" whieh are denoted Dj m,k ... 

Torsional Asymmetry. Rotation about single bonds of most acyclic compounds is relatively free at ordinary temperatures. There are, however, some examples of compounds in which nonbonded... 

Elution volume, exclusion chromatography Flow rate, column Gas/liquid volume ratio Inner column volume Interstitial (outer) volume Kovats retention indices Matrix volume Net retention volume Obstruction factor Packing uniformity factor Particle diameter Partition coefficient Partition ratio Peak asymmetry factor Peak resolution Plate height Plate number Porosity, column Pressure, column inlet Presure, column outlet Pressure drop... 

Band Asymmetry. The peak asymmetry factor AF is often defined as the ratio of peak half-widths at 10% of peak height, that is, the ratio b/a, as shown in Fig. 11.2. When the asymmetry ratio lies outside the range 0.95-1.15 for a peak of k =2, the effective plate number should be calculated from the expression... 

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