Chemiluminescence from three-body reactions in the Ba + O2 flame

A study of the spatially resolved chemiluminescence of the Ba + O₂ reaction suggests that the emission is due to production of the excited states of BaO, Ba₂O, and BaO₂ formed in three-body recombination reactions.     

A sequence of lower bound approximate solutions for the problem of secondary creep in pressure vessels

A previously derived [2] monotone non-increasing sequence of approximate solutions to the pressure vessel problem is modified to produce new sharper upper bounds. In addition, by means of a secant method, a monotone non-decreasing sequence of lower bound approximations is obtained. It is proved that this sequence is uniformly convergent and that it furnishes new lower bounds to the exact solution. These results are then used to obtain estimates for the time of initiation of brittle damage.

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Zusammenfassung Eine früher abgeleitete [2] monotone nichtwachsende Folge von Näherungslösungen für das Druckgefässproblem wird modifiziert, zur Gewinnung neuer schärferer oberer Schranken. Zusätzlich wird, mittels einer Sekantenmethode, eine nicht abnehmende Folge von Approximationen der unteren Schranke erhalten. Es wird bewiesen, dass diese Folge gleichmässig konvergiert und dass sie neue untere Schranken für die exakte Lösung liefert. Diese Ergebnisse werdenn dann verwendet, um Abschätzungen für den Zeitpunkt zu finden, in dem der Bruchschaden beginnt.

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This research was supported by the National Science Foundation under Grant MPS-75-07450. This paper was submitted by the first author in partial fulfillment of requirements for a Ph.D. degree at Illinois Institute of Technology, Chicago, Ill. 60616.     

Analysis of a class of potential Korteweg‐de Vries‐like equations

We analyze a class of third‐order evolution equations, i.e. u_t = f(x, u_x, u_xx) u_xxx+g(x, u_x, u_xx) via the method of preliminary group classification. This method is a systematic means of analyzing the equation for symmetries. We find explicit forms of f and g, which allow for a larger dimensional Lie algebra of point symmetries. Copyright © 2009 John Wiley & Sons, Ltd.     

Identification of new N-Sb topologies: understanding the sequential dehydrochloride coupling of primary amines and trichloropnictines

Subtle steric strain imposed by 2,6-dimethylphenyl substituents on N-Sb frameworks has enabled identification of the first acyclic dipnictadiazane and the first six-membered cyclotristibatriazane providing insight into the dehydrohalide coupling reaction of amines with halopnictines.     

Search for the formation of new particles in pp reactions near 3 GeV

Using the multiparticle spectrometer facility (MPS) at BNL, we have set upper limits on the formation of a meson state in the mass range 2.99–3.14 GeV from proton-anti-proton annihilations. The upper limits are, in terms of the cross section integrated over the width, 18 MeV · μb for the final state $\text{γ}\text{γ}\text{, 18}\text{MeV}\text{·}\text{for K}{}^0\text{K}{}^{01}\text{(890) +}\text{c.c.}$, and 2 MeV · μb for K_SK_L.     

Anomalous specific heat in La : Ce alloys

The magnetic contribution to the specific heat in La : Ce alloys shows a broad anomaly at ≈ 1.2°K which is weakly dependent on the concentration. This anomaly, which accounts for a substantial portion of the entropy of a doublet, cannot be attributed to either usual magnetic ordering or to a dilute alloy Kondo effect, but may represent the behavior of a concentrated Kondo system.     

On the length of linked curves

If two curves inR ³ are linked and at distance 1 from each other then each is of length 2π at least.     

On existence and approximate solutions for a nonlinear integral equation arising in the theory of creep in metals

Existence of a solution to a nonlinear integral equation arising in the theory of creep in symmetric pressure vessels is established by means of a recursively defined sequence of functions. It is shown that this sequence converges monotonically and uniformly to the solution.

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Zusammenfassung Das Problem des Kriechens in symmetrischen Druckgefässen führt auf eine nichtlineare Integralgleichung. Zum Beweis der Existenz einer Lösung dieser Gleichung wird rekursiv eine Folge von Näherungslösungen konstruiert. Es wird gezeigt, dass diese Folge monoton und gleichmässig nach der Lösung der Integralgleichung konvergiert.

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This research was supported by the National Science Foundation under Grant MPS-75-07450.