1. Dynamics and free energies of CH4 and CO2 in the molecular solid of the p-tert-butylcalix[4]arene
- Author
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Daschbach, John L., Thallapally, Praveen. K., McGrail, B. Peter, and Dang, Liem X.
- Subjects
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MOLECULES , *SPEED , *STATISTICAL correlation , *AUTOCORRELATION (Statistics) - Abstract
Abstract: The dynamics of the guest molecules CO2 and CH4 in p-tert-butylcalix[4]arene (TBC4) motion were studied from 100K to 400K using molecular simulation techniques. The rattling motion of the CH4 guest molecules, characterized by velocity autocorrelation functions, exhibit an increase in the Einstein frequency with increasing temperature. This has been observed experimentally and in simulations for some rare gas clathrate systems. The Einstein frequency for the CH4 molecule shows an increase from 75cm−1 at 100K to 91cm−1 at 400K. The frequency corresponding to the CO2 rattling motion exhibits a single peak and less temperature dependence going from 76cm−1 at 100K to 72cm−1 at 400K. The rotational spectra for CO2 exhibit two peaks at 100K with the higher frequency peak shifting to lower frequency with increasing temperature. The computed rotational Einstein frequencies go from 86cm−1 at 100K to 71cm−1 at 400K for CO2. The temperature dependent Gibbs absorption free energies of the guest molecules CO2 and CH4 in TBC4 have also been studied at 1bar using thermodynamic integration from 10K to 400K. As expected, the simulated absorption free energy for CO2 is greater at all temperatures than for CH4. At 10K, the simulated values of −11.4kcal/mol and −8.4kcal/mol for CO2 and CH4, respectively, while at 300K the values are −5.4kcal/mol and −4.4kcal/mol. [Copyright &y& Elsevier]
- Published
- 2008
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