### Abstract

A quantum mechanical approach is proposed to analyze the statistical dynamics of a methane molecule that permeates near the exit of a slit-shaped carbon membrane. Since a quantum wavepacket can be regarded as a statistical ensemble of classical particles which have a certain momentum distribution, calculation can determine the possibility that a particle can reach the outside surface of the membrane or escape from the membrane by integrating the flux of the probability density with respect to time. It is demonstrated that the method is efficient not only for the intuitive understanding of the dynamics but also for quantitative discussions.

Original language | English |
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Pages (from-to) | 95-102 |

Number of pages | 8 |

Journal | Chemical Physics Letters |

Volume | 294 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - 1998 Sep 11 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

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## Cite this

Takahashi, H., Wakabayashi, T., & Nitta, T. (1998). A wavepacket analysis of the statistical behaviour of molecules that penetrate a slit-shaped micropore.

*Chemical Physics Letters*,*294*(1-3), 95-102. https://doi.org/10.1016/S0009-2614(98)00840-9