chemistry(a) For $^{18} O_{2}, \Delta \overline{G}$ values for the transitions $v=1 \leftarrow 0, 2 \leftarrow 0,$ and $3 \leftarrow 0$ are, respectively, 1556.22, 3088.28, and $4596.21\ \mathrm{cm}^{-1}.$ Calculate $\overline{v}$ and $x_{e}.$ Assume $y_{e}$ to be zero. (b) For $^{14} N_{2}, \Delta \overline{G}$ values for the transitions $v=1 \leftarrow 0, 2 \leftarrow 0,$ and $3 \leftarrow 0$ are, respectively, 2345.15, 4661.40, and $6983.73\ \mathrm{cm}^{-1}.$ Calculate $\overline{v}$ and $x_{e}.$ Assume $y_{e}$ to be zero.