Graphoepitaxy of germanium on gratings with squarewave and sawtooth profiles Appl. Phys. Lett. 41, 526 (1982); 10.1063/1.93577Nonlinear distortion of ultrasonic waves in solids: approach of a stable backward sawtooth

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The lattice infrared absorption and/or Raman spectrum peaks for ZnSe, InP, and GaSb semiconductor compounds having zincblende-type structure are assigned to calculated critical point phonon frequencies a t I?, X, L, and W critical points. The assignments are consistent with Birman's selection rule and support lattice dynamical results. The reliability of the calculated critical point phonons for these compounds is checked by Brout's sum rule and compressibility and also comparing them with neutron or Raman data.Die Gitterinfrarotabsorption und/oder Ramanspektrenmaxima fur ZnSe-, InP-, and GaSb-Halbleiterverbindungen mit Zinkblendestruktur werden berechneten Phononenfrequenzen kritischer Punkte bei r, X, L und W zugeordnet. Die Zuordnung ist mit Birmans Auswahlregel konsistent und unterstutzt gitterdynamische Ergebnisse. Die Zuverlassigkeit der berechneten Phononen kritischer Punkte fur diese Verbindungen werden mit Brouts-Summenregel und Kompressibilitiit iiberpruft und auBerdem durch Vergleich mit Neutronen-oder Ramanwerten.

An explicit representation of an analytical solution to the problem of decay of a plane shock wave of arbitrary strength is proposed. The solution satisfies the basic equations exactly. The approximation lies in the (approximate) satisfaction of two of the Rankine-Hugoniot conditions. The error incurred is shown to be very small even for strong shocks. This solution analyses the interaction of a shock of arbitrary strength with a centred simple wave overtaking it, and describes a complete history of decay with a remarkable accuracy even for strong shocks. For a weak shock, the limiting law of motion obtained from the solution is shown to be in complete agreement with the Friedrichs theory. The propagation law of the non-uniform shock wave is determined, and the equations for shock and particle paths in the (x, t)-plane are obtained. The analytic solution presented here is uniformly valid for the entire flow field behind the decaying shock wave.

is very rapid in the S2 state, and (2) the slope of kE vs. E is such that it does not shift greatly the maximum of the \pEf• function when the energy of the third photon changes over the range used (0.7 eV as seen in Table I).Acknowledgment. The support of the National Science Foundation (Grant No. CHE84-12265) is gratefully acknowledged.