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Chain length dependence of the thermodynamic properties of linear and cyclic alkanes and polymers
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10.1063/1.1852453
/content/aip/journal/jcp/122/8/10.1063/1.1852453
http://aip.metastore.ingenta.com/content/aip/journal/jcp/122/8/10.1063/1.1852453

Figures

Image of FIG. 1.
FIG. 1.

Dependence of the absolute specific heat capacity in the liquid state on temperature for linear alkanes, with data for both cyclic and linear alkanes shown in the inset. Symbols are as follows: 엯 ; ● ; ◻ ; ∎ ; ▵ ; ▴ ; ▿ ; ▾ ; ◇ ; ◆ ; + ; ☉ ; ⧅ ; ⊞ ; ⊠ ; ▶ ; ▷ ; ◢ . The upper four curves are labeled for clarity in the figure and the cyclic alkanes are labeled in the inset.

Image of FIG. 2.
FIG. 2.

Chain length dependence of the absolute heat capacity in the liquid state at for both of linear and cyclic alkanes, where is the number of carbons in the chain. Our data are shown as squares (-alkanes) and circles (-alkanes), with open symbols indicating that the value was extrapolated from the liquid state to . Data at the highest values are for linear and cyclic polyethylenes extrapolated from the liquid values shown in Fig. 3. Data for -pentane (Ref. 11) and -octane (Ref. 12) are also shown. Error bars for our measurements are . Lines are not a fit of the data and are provided only to guide the eye.

Image of FIG. 3.
FIG. 3.

Liquid heat capacities of cyclic (-PE10 and -PE1) and linear (HDPE) polyethylenes as a function of temperature. The reference values recommended by Guar and Wunderlich (Ref. 13) are also shown, along with the error bars of 3.5% that they recommend.

Image of FIG. 4.
FIG. 4.

Heat capacities of a cyclic and linear polystyrene as a function of temperature above and below ; the materials have nominal molecular weights of 4000 and , respectively.

Image of FIG. 5.
FIG. 5.

Change in entropy for the solid-solid and solid-liquid transitions for the linear alkanes as the function of the number of carbon atoms in the molecule; note that only the odd-numbered alkanes show a solid-solid transition(s). The total change in entropy from the low-temperature solid to the liquid is also shown and is the sum of solid-solid and solid-liquid transitions.

Image of FIG. 6.
FIG. 6.

Chain length dependence of the thermal expansion coefficient for both linear and cyclic alkanes at , where is the number of carbons in the chain. Both values predicted from the modified Rackett equation (Ref. 25) and values from fits of experimental data in the literature (Refs. 26–28) are shown. Values from the Rackett equation and values extrapolated outside of the experimental temperature range are shown as open points; closed symbols indicate values obtained from experimental fits to data covering the temperature of interest. Lines are not a fit of the data and are provided only to guide the eye.

Image of FIG. 7.
FIG. 7.

Chain length dependence of the specific volume for both linear and cyclic alkanes at , where is the number of carbons in the chain. Shown are values predicted from the modified Rackett equation (Ref. 25), values from fits of experimental data in the literature (Refs. 26–28), and values reported in the literature (Ref. 29). Values from the Rackett equation and values extrapolated outside of the experimental temperature range are shown as open points; closed symbols indicate values obtained from experimental fits to data covering the temperature of interest or for values reported in the literature. Lines are not a fit of the data and are provided only to guide the eye.

Tables

Generic image for table
Table I.

Specific heat capacities in liquid state, with in °C.

Generic image for table
Table II.

Solid-solid and solid-liquid transitions for linear and cyclic alkanes.

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/content/aip/journal/jcp/122/8/10.1063/1.1852453
2005-02-16
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Chain length dependence of the thermodynamic properties of linear and cyclic alkanes and polymers
http://aip.metastore.ingenta.com/content/aip/journal/jcp/122/8/10.1063/1.1852453
10.1063/1.1852453
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