On the Correction of Optical Surfaces (1918)(en)(3s) by Michelson A. A.

By Michelson A. A.

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Selected values of M3/M2 are indicated on the fine straight lines joining corresponding points on the curves. 1-6 M THE RECOMBINATION COEFFICIENT ? ",s 59 h Fig. 1-6-7. Mass effect: M3 and M^ fixed; M2 varied. Dependence of M$ß13 on a with Ms/Mi as marked on each curve. Selected values of M2\Mi are indicated in the fine straight lines joining corresponding points on the curves. Case (iii). M2 and M3 fixed; Mx varied. Let M2=fM3 (1-6-64) then Mx = V ■M, α ( 1 + / ) + {α 2 (1+/) 2 + 4α/}± (1-6-65) Figures 1-6-6-1-6-8 show the dependence of the recombination coeffi­ cient on the mass ratio parameter a and on the varied masses M 3 , M2 and Ml9 respectively.

Distribution function p(X\ct C) for selected values of the interaction parameter C (indicated on curves). 54 1-6 THREE-BODY RECOMBINATION rate of fall-off as λ is increased is relatively slow if c is either small or large compared with unity (a necessary condition for which is that one of the three masses concerned is very different from the others). The effect of C on the distribution functions (cf. Fig. 1-6-3), is slight: small C gives a distri­ bution function characteristic of a polarization interaction (small-ion limit) while large C gives one characteristic of a repulsive hard-sphere core inter­ action.

Selected values of M3/M2 are indicated on the fine straight lines joining corresponding points on the curves. 1-6 M THE RECOMBINATION COEFFICIENT ? ",s 59 h Fig. 1-6-7. Mass effect: M3 and M^ fixed; M2 varied. Dependence of M$ß13 on a with Ms/Mi as marked on each curve. Selected values of M2\Mi are indicated in the fine straight lines joining corresponding points on the curves. Case (iii). M2 and M3 fixed; Mx varied. Let M2=fM3 (1-6-64) then Mx = V ■M, α ( 1 + / ) + {α 2 (1+/) 2 + 4α/}± (1-6-65) Figures 1-6-6-1-6-8 show the dependence of the recombination coeffi­ cient on the mass ratio parameter a and on the varied masses M 3 , M2 and Ml9 respectively.

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