摘要:

The average population of 63P1mercury atoms is calculated from the measured 2537 output and resonance radiation diffusion theory. Average populations of 63P2, 0are then found by comparing the absorptions of 5461, 4358, and 4047. Populations for a 0.42‐amp. discharge in 3.5‐mm argon of high purity plus Hg vapor at 42°C in a tube 1½ inches in diameter are for 63P2, 1, 0, respectively, 7.6×1011, 1.9×1011, and 3.5×1011cm−3; these are ⅕, 1/20, and ⅕ of the corresponding Boltzmann populations, for the electron temperature of 11,100°K.Rates of collisions of the first and second kinds involving electrons (average concentration 2.1×1011cm−3), and the 61S0and 63P2, 1, 0states are calculated using known excitation functions and detailed balancing. The results predict populations for 63P2, 1, 0within 10 percent of those observed; they further predict that ⅔ of the observed 2537, ⅔ of the visible triplet, and ¾ of the 3650 group are produced stepwise via 63P. Quenching collisions involving argon are assumed negligible.The results account fairly well for the maximum in the 2537versusHg pressure curve, for the decrease in the 2537 output efficiency with increasing current, and for the decrease in electron temperature which is associated with both these effects.

ISSN:0021-8979    

DOI:10.1063/1.1699596

出版商:AIP    

年代:1950

数据来源: AIP

摘要:

Relaxation times for seventeen gases have been measured using a steady flow method, the velocity field being found numerically by Southwell's Relaxation Method. Where a comparison is possible the results are found to be in good agreement with sound dispersion data. The present state of knowledge about relaxation effects is discussed and a few instances of their possible appearance are cited.

ISSN:0021-8979    

DOI:10.1063/1.1699597

出版商:AIP    

年代:1950

数据来源: AIP

摘要:

A convenient and practical method of numerical determination of the fundamental eigenfunction and eigenvalue in a class of linear eigenvalue problems has been developed and applied in two and three dimensions. The method is based on use of a network and of difference equations, but departs from previous methods in that it is not iterative. Rather, a polynomial operator is applied to a trial function just once, to accomplish a determinable degree of reduction in all eigenfunctions other than the fundamental that are contained in the trial function. In the case of the diffusion equation, the polynomial operator is a Tschebyscheff polynomial of a simple averaging operator. It is shown that this operator, when of degreem, is ``better'' than any other polynomial operator of this degree and much ``better'' thanmiterations of a simple averaging operator—``better'' in the sense of accomplishing to a greater degree the elimination ofallunwanted eigenfunctions. Techniques for the use of computing equipment for application of the polynomial operator are discussed. By orthogonalization, the method can be applied to modes other than the fundamental.

ISSN:0021-8979    

DOI:10.1063/1.1699598

出版商:AIP    

年代:1950

数据来源: AIP

摘要:

The classical eigenvalue problems of mathematical physics are solved by means of a Laplace Transform extended, not over the interval (0, ∞) but over the interval of interest for the differential equation. The method is applied to the Hermite, Laguerre and Bessel equations and to the equation for the hypergeometric polynomials which include the Legendre, Tschebyscheff, and Jacobi polynomials as special cases.

ISSN:0021-8979    

DOI:10.1063/1.1699599

出版商:AIP    

年代:1950

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1699601

出版商:AIP    

年代:1950

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1699602

出版商:AIP    

年代:1950

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1699605

出版商:AIP    

年代:1950

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1699606

出版商:AIP    

年代:1950

数据来源: AIP