Knowledge Bank

Using interferometric spectra obtained on the McMath Solar Telescope FTS spectrometer in double pass configuration ($0.0025cm-1$ resolution), the $\nu 9+\nu 4-\nu 4$ hotband has been assigned. The torsional splittings, on the order of $0.1cm-1$, are clearly resolved. Lower state combination differences yield the following $B4\sigma$ values: $0.6605099(77),0.6605005(44),0.6604930(54),0.6604846(77)cm-1$ for $\sigma -0,1,2,3$ respectively. $DJ4\sigma 3$ is determined to be $1.0261(68),1.0214(36),1.0158(49)$, and $1.0147(74)\times 10-6cm-1$, respectively. yields $2.74(16),2.72(18),2.73(12)$, and $2.68(18)\times 10-1cm-1$. Making use of the Fourier expansion formalism introduced by Lin and $Swalen1$ and further developed by Meerts and Ozier,$\mathrm{<mrow\; data-mjx-texclass="ORD">2</mrow>}$ Wong $etal.3$ and used by Moazzen-Ahmadi $etal.,4$ the results above have been analyzed further. We define effective constants by the following equations: In these equations, are the diagonal values of the $\cos (6\gamma )$ and $P\gamma \mathrm{<mrow\; data-mjx-texclass="ORD">2</mrow>}$ matrices in the representation which diagonalizes the torsional Hamiltonian. The terms $\eta \times$ and $\xi \times ,x-b,dj,djk$, are constant coefficients determined herein by fitting the appropriate equation to the results quoted above. Predictions of higher excited torsional state rotational parameters are presented.