The Zeeman Effect in the Angstrom CO Bands

Abstract

Theory of the Zeeman effect in the band lines of rigid diatomic molecules.—The qualitative features of the Zeeman effect in the band lines of rigid diatomic molecules as given by the conventional quantum theory and the new quantum mechanics are the same. Both predict that the Zeeman pattern for electronic transitions of the type ${}_{}{}^1{}_{}{}^{}S\to {}_{}{}^1{}_{}{}^{}P$ will be greatest for the first line in each branch (for which $M$, the empirical serial number of a line in a branch, is 1) and will increase in complexity ($N=\mathrm{number}\mathrm{of}\mathrm{component}\mathrm{lines}\mathrm{in}\mathrm{a}\mathrm{pattern}=2M+1\mathrm{}$) and decrease in scale as $M$ increases. The size of the pattern is $\frac{2}{(M+1+\frac{1}{4M})}·\Delta {\nu }_n$ on the old and $\frac{2}{\mathrm{}(M+1\mathrm{})\mathrm{}}·\Delta {\nu }_n$ on the new quantum theory. For $M>\mathrm{}2\mathrm{}$ the size of the pattern is almost exactly the same for both theories.