Mobilities of${\mathrm{Li}}^{+}$ ions in ${\mathrm{H}}_2$, ${\mathrm{N}}_2$, and their mixture

The mobilities of ${\mathrm{Li}}^{+}$ ions in ${\mathrm{H}}_2$ and ${\mathrm{N}}_2$ gases have been measured at (26-38) °C gas temperature over a range of $\frac{E}{N}$, the ratio of electric drift field to the gas number density, from 8 to 280 Td (1 Td = ${10}^{-17\mathrm{}}$ V ${\mathrm{cm}}^2$). The zero-field reduced mobilities were measured to be 12.3 and 4.1 ${\mathrm{cm}}^2$/V sec in ${\mathrm{H}}_2$ and ${\mathrm{N}}_2$ gases, respectively. It was found that the mobility in ${\mathrm{N}}_2$ gas decreases monotonically down to a value 3.7 ${\mathrm{cm}}^2$/V sec below 90 Td with an increase in $\frac{E}{N}$, and thereafter increases. The mobilities of ${\mathrm{Li}}^{+}$ in mixtures of ${\mathrm{H}}_2$ and ${\mathrm{N}}_2$ gases have been measured at $\frac{E}{N}=15,31,93, \mathrm{and} 173$ Td. A slight deviation from Blanc's law is noticed at $\frac{E}{N}=173\mathrm{}$ Td. A simple numerical method to obtain the mobility in mixture gases is proposed.