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Phenol formation of, in benzene oxidation, 491-493 manufacture of, 513 Phenonium ion, 170, 299 Phenylacetylene alkylation of, 227 alkenylation with, 266 amination of, 340 anionic polymerization of, 769 haloboration of, 328 heterosubstitution of, 599 hydrosilylation of, 326 monoalkylation of, via organometallics, 253 oxidation of, 489, 490 photocatalytic hydration of, 287 Phenylalkenes, cyclialkylation of, 241 Phenylallene halogenation of, 308 hydrochlorination of, 295 1-Phenyl-l,3-butadiene, hydrochlorination of, 296 (+ )-3-Phenyl-l-butene, isomerization of, 179 Phenylcyclohexane, oxidation of, 500 Phenylpropanols, alkylation with, 245 1-Phenylpropenes, bromination of, 306 1-Phenylpropyne, surface-mediated hydrohalogenation of, 297 Phillips catalyst, see Cr03 on silica Phillips process, for manufacture of lubricating oils, 709 neohexene,710 propylene, 708, 714 Phosphoric acid in alkylation, 231, 238, 241, 258 in hydration, 285, 288 in isomerization, 175 in Koch reaction, 379 in manufacture of gasoline polymers, 726 in Prins reaction, 228 Phosphoric acid on kieselguhr, in manufacture of cumene, 258 Phosphorus chlorides, chlorination with, 589 Photochemical reactions carbonylation of alkanes, 390 chlorination, 586 CO2 reduction, 97 cyclization, 192, 336 epoxidation, 453 hydration, 285, 287 hydroamination, 313 hydrobromination, 295 hydrosilylation, 325 metathesis, 699

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Figure 26-3: Many stand-alone MP3 players, such as Winamp and Audion, feature sexy looks that can be changed by applying new skins.

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Diffraction-Specific Modeling: a Hybrid Technique be pre-computed to diffract light to the array of exit pupils at the specified viewzone distance The general approach, however, is analogous to the conventional stereogram approach described previously, which places the viewzone at infinity (using no exit pupils); this simplifies fringe computations in many ways First, the same set of basis fringes can be used for all hogels Second, and most profound from the perspective of sampling theory, this is equivalent to spectral sampling of the diffracted hologram wavefront This general diffraction-specific approach allows for the direct sampling of hogel spectra by generating orthographic views during the rendering step These views can be assembled (as previously described) into pixel vectors, normalized, and used as hogel vectors to compute hogel fringes.

Each hogel is computed based on this sampled representation of the spectrum required to diffract light in specific amounts for each of the discretized directions An efficient application of diffraction-specific computation applies the standard rules of sampling theory: given sufficient levels of spatial and spectral sampling, a diffracted wavefront can be reproduced to generate the desired 3-D image Hogel vectors can be generated by normalizing pixel vectors, analogously to the conventional stereogram approach described above However, diffraction-specific computing can also generate hogel vectors using the (x, , z ) locations and amplitudes of object y elements within a scene In this approach, a difSraction table is used to describe the mapping of (x, y, z ) locations to specific hogel-vector contributions.

An image element at some (x, z ) location in the y, image volume can be represented in a sampled manner as components of a particular set of hogel vector contributions A diffraction table maps this sampled relationship Each entry of the diffraction table is an amplitude factor, which can be multiplied by the desired element magnitude and then summed with other contributions to calculate the total hogel-vector array for a specific 3-D scene Diffraction table entries are pre-computed for all possible (x, y and z ) values of image element; pre-computation involves spatially and spectrally sampling (with the same spacings used to pre-compute the associated basis fringes) the theoretical spectral content of a diffracted wavefront The spectrum is related to an image element through optical propagation For example, for an image point, the desired diffracted spectral content can be shown to be a roughly linear distribution of plane-wave spectra.

Protocol 5.9. Preparing Metaphases from Germ Cell Cultures Reagents and Materials Sterile Colcemid (KaryoMAX) Trypsin, 0.25%, EDTA, 1 mM, in PBSA Nonsterile Hypotonic solution (see Section 5.2.6) Fixative: 3:1 v/v of methanol:glacial acetic acid, prepared fresh DAPI: 4 , 6-diamidino-2 phenylindole, 5 g/mL Glass slides Specialized Equipment Fluorescence microscope

1xiv During computation for a particular 3-D object scene, the (x,y , z ) location of each image element serves as an index into the diffraction table, retrieving a set of mapped magnitudes which are then scaled by the element's magnitude and summed to calculate the total hogel-vector array For image points, the magnitude is the square root of the intensity calculated from the 3-D scene and lighting information To compute fringes, the hogel vectors are used to modulate pre-computed basis fringes and accumulate specific superpositions for each hogel Depending on the particular basis fringes used and the object elements represented in the diffraction table, the wavefront diffracted by the resulting fringes may range from being similar to one projected by a conventional holographic stereogram, to being similar to one projected by a physically based interference.

FIGURE 28.9 The Attributes panel lets you set whether objects fills, strokes, and gaps overprint or knock out (the default, or deselected, status).

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