Explosion Dynamics of Methane Clusters Irradiated by 38 nm XUV Laser Pulses

We have studied the explosion dynamics of methane clusters irradiated by intense, femtosecond, 38 nm (32.6 eV) XUV laser pulses. The ion time-of-flight spectrum measured with a Wiley-McLaren-type time-of-flight spectrometer reveals undissociated molecular $\textrm{CH}_4^+$ ions, fragments which are missing hydrogen atoms due to the breakage of one or more C-H bonds $(\textrm{CH}_3^+, \textrm{CH}_2^+ \ \textrm{and}\ \textrm{CH}^+)$ and the recombination product $\textrm{CH}_5^+$. Also visible on the time-of-flight traces are atomic and molecular hydrogen ions $(\textrm{H}^+ \textrm{and}\ \textrm{H}_2^+)$, carbon ions, and larger hydrocarbons such as $\textrm{C}_2 \textrm{H}_2^+$ and $\textrm{C}_2\textrm{H}_3^+$. No doubly-charged parent ions $(\textrm{CH}_4^{2+})$ were detected. The time-of-flight results show that total and relative ion yields depend strongly on cluster size. The absolute yields of $\textrm{CH}^+_5$ and $\textrm{H}^+$ scale linearly with the yields of the other generated fragments up to a cluster size of $\langle\textrm{N}\rangle=70,000 \ \textrm{molecules}$, then begin to decrease, whereas the yields of the $\textrm{CH}_n^+(n=1-4)$ fragments plateau at this cluster size. The behavior of $\textrm{H}^+$ may be understood through the electron recombination rate, which depends on the electron temperature and the cluster average charge. Moreover, the $\textrm{CH}_5^+$ behavior is explained by the depletion of both $\textrm{CH}_4^+$ and $\textrm{H}^+$ via electron-ion recombination in the expanding nanoplasma.