Ideal-gas heat capacities of dimethylsiloxanes from speed-of-sound measurements and ab initio calculations

Abstract A two-pronged approach has been used to obtain accurate ideal-gas heat capacities of cyclic and linear dimethylsiloxanes that are useful for thermodynamic modeling of several processes involving these compounds. Acoustic resonance measurements were made on gas-phase octamethylcyclotetrasiloxane (D4, [(CH3)2–Si–O]4) and decamethylcyclopentasiloxane (D5, [(CH3)2–Si–O]5) over the temperature range 450–510 K. These new data, along with previously published molecular vibrational frequency data for hexamethyldisiloxane (MM, [(CH3)3–Si–O1/2]2), were used to develop an appropriate frequency scaling factor that can be used with ab initio frequency calculations to produce reliable ideal-gas heat capacities as a function of temperature. Ideal-gas heat capacities for both cyclic [(CH3)2–Si–O]n (with 3 ≤ n ≤ 8 ) and linear (CH3)3–Si–O–[(CH3)2–Si–O]n–Si–(CH3)3 (with 0 ≤ n ≤ 5 ) siloxanes over a wide range of temperatures were determined with the ab initio method.

[1]  G. Angelino,et al.  Organic Rankine cycles (ORCs) for energy recovery from molten carbonate fuel cells , 2000, Collection of Technical Papers. 35th Intersociety Energy Conversion Engineering Conference and Exhibit (IECEC) (Cat. No.00CH37022).

[2]  G. Angelino,et al.  Cyclic Methylsiloxanes as Working Fluids for Space Power Cycles , 1993 .

[3]  Robert F. Hout,et al.  Molecular orbital studies of vibrational frequencies , 2009 .

[4]  Calin Zamfirescu,et al.  Preliminary Design of the FAST Dense Gas Ludwieg Tube , 2006 .

[5]  H. Oberhammer,et al.  BONDING PROPERTIES OF SILOXANES : GAS PHASE STRUCTURES OF N, N-BIS(TRIFLUOROMETHYL)-O-(TRIMETHYLSILYL)HYDROXYLAMINE, ME3SION(CF3)2, AND TRIMETHYLSILYL NITRATE, ME3SIONO2 , 1998 .

[6]  Joachim Sauer,et al.  Molecular mechanics potential for silica and zeolite catalysts based on ab initio calculations. 1. Dense and microporous silica , 1994 .

[7]  J. J. Freire,et al.  Conformational Analysis of Methyl−Phenyl−Siloxane Chains , 1996 .

[8]  K. Gillis Thermodynamic properties of seven gaseous halogenated hydrocarbons from acoustic measurements: CHClFCF3, CHF2 CF3, CF3 CH3, CHF2CH3, CF3CHFCHF2, CF3CH2CF3, and CHF2CF2CH2F , 1997 .

[9]  Paolo Silva,et al.  Dense Gas Thermodynamic Properties of Single and Multicomponent Fluids for Fluid Dynamics Simulations , 2003 .

[10]  Davis,et al.  Measurement of the universal gas constant R using a spherical acoustic resonator. , 1987, Physical review letters.

[11]  I. Obernberger,et al.  Description and evaluation of the new 1,000 kWel organic rankine cycle process integrated in the biomass CHP plant in Lienz, Austria , 2002 .

[12]  Leo Radom,et al.  Harmonic Vibrational Frequencies: An Evaluation of Hartree−Fock, Møller−Plesset, Quadratic Configuration Interaction, Density Functional Theory, and Semiempirical Scale Factors , 1996 .

[13]  G. Angelino,et al.  Multicomponent Working Fluids For Organic Rankine Cycles (ORCs) , 1998 .

[14]  Ora L. Flaningam,et al.  Vapor pressures of poly(dimethylsiloxane) oligomers , 1986 .

[15]  A. Sivaraman,et al.  Experimental ideal gas reference state heat capacities of gases and vapors , 1990 .

[16]  Calin Zamfirescu,et al.  NUMERICAL SIMULATION OF THE FAST DENSE GAS EXPERIMENT , 2006 .

[17]  Richard L. Rowley Statistical mechanics for thermophysical property calculations , 1994 .

[18]  M. Moldover,et al.  Precondensation phenomena in acoustic measurements , 1982 .

[19]  Martin Trusler,et al.  Physical Acoustics and Metrology of Fluids , 2020 .

[20]  A. D. McLean,et al.  Molecular orbital predictions of the vibrational frequencies of some molecular ions. , 1985, The Journal of chemical physics.

[21]  M. Gordon,et al.  Ab initio study of cyclic siloxanes (H2SiO)n: n = 3, 4, 5 , 1996, J. Comput. Chem..

[22]  R. Kacker,et al.  Uncertainties in scaling factors for ab initio vibrational frequencies. , 2005, The journal of physical chemistry. A.

[23]  Robert F. Hout,et al.  Effect of electron correlation on theoretical vibrational frequencies , 1982 .

[24]  M. Moldover,et al.  Practical determination of gas densities from the speed of sound using square-well potentials , 1996 .

[25]  B. K. Harrison,et al.  Solution to missing group problem for estimation of ideal gas heat capacities , 1988 .

[26]  S. Todd,et al.  HEXAMETHYLDISILOXANE: CHEMICAL THERMODYNAMIC PROPERTIES AND INTERNAL ROTATION ABOUT THE SILOXANE LINKAGE1 , 1961 .

[27]  Alberto Guardone,et al.  Multiparameter equations of state for selected siloxanes , 2006 .