The mathematical background and typical applications in physics are presented for a recently tabulated function. Because of its properties, the P function should prove to be a useful aid in the solution of certain problems in applied mathematics involving surface integrations in cylindrical coordinates. A tabulation of the function in its normalized form is appended. Particular attention is paid to the application of the P function to multiple scattering problems involving circular symmetry.
A solution of cryptocyanine in methanol has been used as a self-synchronizing, nondestructive, passive Q-switch in a ruby laser. A symmetric giant pulse of ∼10 nsec width and 5–10 MW peak power is produced with a standard ruby laser system. This pulse is comparable with pulses generated by other Q-switching techniques.
Instabilities in YIG spheres that exist above certain threshold power values of cw microwave field are studied using samples of about 14−12 mm diam, that have low power line widths of 1 oe or less. Whereas the characteristic behavior such as asymmetrical line shape, “jump” effect etc. is somewhat similar to that reported for disks, the phenomenon is generally different. It has been determined that this instability, which can occur at cw power levels below the threshold for significant spin wave growth, is due entirely to the heating effect of resonance absorption upon the anisotropy energy of the crystal lattice. As a result, the instability is characterized by a threshold curve that follows both the extrema and symmetry of the anisotropy curve for a given orientation. A straightforward theoretical explanation based on familiar relationships is outlined which fits the instability threshold vsorientation curve. The temperature instability provides a technique for measuring the “g” factor that is believed to be more direct than previous methods.
A theoretical study is made of the surface temperature of a front heated slab in the presence of small holes drilled to within a fraction of a centimeter of the heated surface. In addition, equations and calculations are presented which yield an estimate of the error incurred when the surface temperature is measured by a transducer located at the end of such a hole. In the absence of a practical exact solution to the problem, the method of attack chosen here leads to an upper bound on the additional surface temperature or hot spot caused by a cavity. The upper bound is justified because it is a close upper bound and, for cavity dimensions in the range of interest, the resulting hot spot is quite small. It is shown, for instance, that a ½-mm hole drilled to within 1 mm of the exposed surface will cause a time variant surface hot spot that is no more than 1.5% of the surface temperature. If the hole depth is reduced to ½ mm, then the hot spot is less than 5.5% of the surface temperature. An additional finding is that the magnitude of the hot spot is nearly independent of the temporal shape of the surface heat pulse for a large variance in the latter.
Thin-film solid-state batteries ranging in thickness from 5 to 12~ were prepared on quartz substrates by vacuum-deposition techniques. Silver films ~1000A thick were used in all cases as the reversible electrode, while platinum and in some cases gold films of a similar thickness were used as the counterelectrode. Electrolyte films consisted of evaporated AgI, evaporated AgBr, and a double electrolyte of AgI evaporated onto a film of AgC1 or AgBr. Cells consisting of the above types of electrolytes were rechargeable, and the ones containing pure AgI or AgI -t-AgBr or AgC1 electrolyte exhibited long shelf life. Preliminary conductivity measurements using an a-c bridge method indicate, as expected, that the electrode-electrolyte interfaces rather than the electrolyte films are the principal sources of the high internal resistance exhibited by these batteries.The use of solid-state electrolytes in electrochemical cells was first demonstrated by Reinhold (1) during his studies of chemical equilibria between solid salts. Ionic conductivity in the solid state has since been studied by a number of workers and an extensive review of the subject has been presented by Lidiard (2). A more recent review by Raleigh (3) deals with the general aspects of solid-state electrochemical techniques and the use of solid-state galvanic cells for various thermodynamic calculations.Silver iodide, when contained between two metallic electrodes of which one is a reversible silver anode, has long been known to act as a solid electrolyte in which the ionic current is carried almost in its entirety by Ag + ions (4). In recent years, several articles have appeared in the literature on the utilization of silver iodide as an electrolyte in solid-state battery applications. A bead cell developed by Weininger (5) consists of a silver anode and a platinum or tantalum cathode embedded into the solid AgI electrolyte. In the presence of iodine vapor, the cell acts as a primary battery, the iodine being reduced at the inert Pt (or Ta) electrode. Mrgudich (6, 7) has recently reported on the performance of AgI pellet batteries in which the AgI electrolyte is compressed between silver and platinum electrodes, and he also suggested that the possibility of making an all thin-film version of the system be explored. The Mrgudich batteries are rechargeable concentration cells in which the cell voltage is a function of the activity of Ag ~ on the inert platinum electrode and is given by the Nernst concentration-cell equation
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.