The effect of deviations of the nuclear field from the inverse square law such as are suggested by the theory of radioactive disintegration is calculated. The isotope shift due to a change of the nuclear radius by 1 percent is found to be larger than those observed. The spectrum of Tl appears not to fit any simple modification of the theory. The isotope shifts in Pb I and Pb II can be explained roughly on the supposition that the deviations of the nuclear field from the inverse square law are local but that for the valence electrons these deviations should be taken to be smaller than is usually supposed in the theory of radioactive disintegration. . In this letter the potential inside the nucleus is supposed to be constant and at the boundary of the nucelus it is taken to be continuous. Below the potential is taken to be discontinuous at the nuclear boundary so as to represent the potential wall of nuclear models for a-particle emission. In comparing the formulas in this paper with those of Racah one should start with (11) since in (11a) Av is supposed to be zero. The resultant isotope shift becomes then l/(2p + l) of (Ha) with v=_0 in the latter formula.
Some 69 microwave absorption lines from three isotopic modifications of NO2 have been observed and identified. This spectrum has been completely analyzed in terms of moments of inertia, magnetic fine structure, and centrifugal distortion. The early stages of analysis were complicated by the existence of many mathematical solutions satisfying all of the data then available, but special methods have been developed for treating limited data and selecting the one solution giving the true molecular parameters.
The results obtained for 14N16O2 are: Rotational constantsA=239 868.7±11 Mc/secB= 13 000.12±0.6 Mc/secC= 12 303.45±0.6 Mc/secOdd electron expectation values with respect to〈(3r̂a2−1)/2r3〉=−1.73×1024cm−3N−nucleus〈(r̂b−ir̂c)2/r3〉=+3.34×1024cm−3|ψ(0)|2=+3.065×1024cm−3Reduced spin−rotation coupling constantsεaa/A=+0.022563εbb/B=+0.000608εcc/C=−0.007764Force constants from combined microwave−infrared datafd=11.043±0.05 mydn/Åfα= 1.109±0.01fdd=0.481±0.014fdα=2.140±0.05.The magnetic coupling constants are discussed in terms of a simplified electronic structure. The agreement between this structure and the experimental parameters is incomplete, but surprisingly good.
Approximate values for the 14N quadrupole coupling constants are obtained.
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.