Plain waves

Accdg to Cook, Langweiler assumed for the plain-wave deton behind the wave front a simplified constant p(x) (density-distance) and W(x) (particle velocity-distance) contour followed by a sharp (presumably discontinuous) rarefaction. He gave as the velocity of the rarefaction front the value (D+W)/2, where (D) is detonation velocity. Then he deduced that in an explosive of infinite lateral extent, the compres-sional region or detonation head of the wave should grow in thickness in accordance with the equation ... 

For a specific example of an impurity potential with finite range we choose a Gaussian. Taking matrix elements between plain wave states kp and k F gives... 

A with a max at 3800A. The absorption overlap of the nitrocompds is plainly evident. The position and slope of each curve in Fig 1 can be qualitatively correlated with the absorption range and % transmittance at the peak for each compd. Nitro me thane, which absorbs more at shorter wave lengths and exhibits the least overlap of the toluene-PPO emission spectrum, accordingly has the least effect on the count Tate of the pure scintiliator... 

The future remains bright for the use of carbon materials in batteries. In the past several years, several new carbon materials have appeared mesophase pitch fibers, expanded graphite and carbon nanotubes. New electrolyte additives for Li-Ion permit the use of low cost PC based electrolytes with natural graphite anodes. Carbon nanotubes are attractive new materials and it appears that they will be available in quantity in the near future. They have a high ratio of the base plane to edge plain found in HOPG. The ultracapacitor application to deposit an electronically conductive polymer on the surface of a carbon nanotube may be the wave of the future. 

In these sensors, the intrinsic absorption of the analyte is measured directly. No indicator chemistry is involved. Thus, it is more a kind of remote spectroscopy, except that the instrument comes to the sample (rather than the sample to the instrument or cuvette). Numerous geometries have been designed for plain fiber chemical sensors, all kinds of spectroscopies (from IR to mid-IR and visible to the UV from Raman to light scatter, and from fluorescence and phosphorescence intensity to the respective decay times) have been exploited, and more sophisticated methods including evanescent wave spectroscopy and surface plasmon resonance have been applied. 

When infrared beam incidents upon thin organic films extended over a plain metal surface (Figure 1), there usually occurs a standing wave electric field on the metal surface as a consequence of the interference between the incident and reflected beams. Since the standing wave may interact with, i. e. be absorbed by, molecules in the organic film, the reflectance of the beam from the metal surface is reduced. 

A postulated advantage of accurate prediction of wave numbers of transitions far above the measured range through representing potential energy in a modified Morse form is plainly illusory. 

The effect of vapour pressure is most easily visualised when the rates of degradation are plotted as a function of the enthalpy of vaporisation (Fig. 5.14). Plainly the lower the enthalpy of vaporisation (Ai-f ), the more volatile the solvent and the more solvent vapour will enter the bubble. This effectively cushions the collapse of the bubble, so that the movement of solvent is slowed down, lessening the shock wave thereby leading to lower degradation rates. 

The inside is filled with gas—plain air for the ones you wave through the air, mostly carbon dioxide for the ones you blow. 

Austrian biologist Paul Kammerer once compared events in our world to the tops of waves in an ocean. We notice the tops of the isolated waves, but beneath the surface there may be some kind of synchronistic mechanism that connects them. Whatever you believe about such far-out speculation, be humble. Our brains, which evolved to make us run from lions on the Ethiopian plains, may not be constructed to penetrate the infinite veil of reality. We may need science, computers, brain augmentation, and even literature and poetry to help us tear away the veils. Einstein himself realized the insufficiency of the human mind when he wrote, My feeling is religious insofar as I am imbued with the consciousness of the insufficiency of the human mind to understand more deeply the harmony of the Universe which we try to formulate as laws of nature. For those of you who read the Neoreality book series, look for the hidden mechanism, feel the connections, pierce the cosmic shroud, and sail on the shoreless sea of love. ... 

He smiled and waved up at me. We were listening to a record of Plains Indians songs and dances, and every time the... 

I will write Fourier series in this form throughout the remainder of the book. This kind of equation is compact and handy, but quite opaque at first encounter. Take the time now to look at this equation carefully and think about what it represents. Whenever you see an equation like this, just remember that it is a Fourier series, a sum of sine and cosine wave equations, with the full sum representing some complicated wave. The hth term in the series, Fh 1 ni hx, can be expanded to Fj/cos 2ir(hx) + i sin 2-tt(/ )], making plain that the hth term is a simple wave of amplitude Fh, frequency h, and implicit phase [Pg.88]

---