1974
DOI: 10.1039/f19747001279
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Pre-melting transitions in caged hydrocarbons, a general theory of disorder in plastic crystals

Abstract: The results of differential scanning calorimetry studies on caged hydrocarbons have been used, with existing data, to propose a new interpretation of orientational disorder in plastic crystals. New empirical relationships are reported between the entropy of transition, plastic crystal range and molecular shaDe.

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Cited by 48 publications
(21 citation statements)
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“…As discussed by Westrum and Henriquez, the total transition entropy of m-carborane is close to Rϫln 30(ϭ28.3 J K Ϫ1 mol Ϫ1 ) which is expected from a statistical model considering the molecular and site symmetries, 45,46 indicating that m-carborane is orientationally ordered at the lowest temperature phase (T Ͻ170 K). If m-carborane is ordered at 0 K and the configurational states of both carboranes are the same at the high temperature phase ͑these are both quite plausible assump-tions͒, the difference between the transition entropies of mand o-carboranes (10.8 J K Ϫ1 mol Ϫ1 ϭRϫln 3.7) suggests that o-carborane has residual disorder involving about four orientations at 0 K. This means that o-carborane is not categorized into the orientational glasses ͑such as ethanol, cyclohexanol, etc.͒ in which molecular orientation is disordered as much as in liquids, but rather into the orientational glasses ͑such as RbCN and C 60 ) in which molecules are disordered among only a small number of orientations.…”
Section: Transition Entropy and Orientational Disordersupporting
confidence: 59%
“…As discussed by Westrum and Henriquez, the total transition entropy of m-carborane is close to Rϫln 30(ϭ28.3 J K Ϫ1 mol Ϫ1 ) which is expected from a statistical model considering the molecular and site symmetries, 45,46 indicating that m-carborane is orientationally ordered at the lowest temperature phase (T Ͻ170 K). If m-carborane is ordered at 0 K and the configurational states of both carboranes are the same at the high temperature phase ͑these are both quite plausible assump-tions͒, the difference between the transition entropies of mand o-carboranes (10.8 J K Ϫ1 mol Ϫ1 ϭRϫln 3.7) suggests that o-carborane has residual disorder involving about four orientations at 0 K. This means that o-carborane is not categorized into the orientational glasses ͑such as ethanol, cyclohexanol, etc.͒ in which molecular orientation is disordered as much as in liquids, but rather into the orientational glasses ͑such as RbCN and C 60 ) in which molecules are disordered among only a small number of orientations.…”
Section: Transition Entropy and Orientational Disordersupporting
confidence: 59%
“…While a 62-fold disordering process is unrealistic, the 1 .Sfold or 614-fold disordering at the I1 + I transition could be due to a transition from a lattice of cubic to one of hexagonal symmetry. An alternative interpretation of the I11 + I1 transition can be made if the approach of Clarke et al (14,15) is taken, in which a contribution of approximately 10.3 J K-' mol-' is subtracted from the entropy of transition to account for the slackening of the lattice. This approach would produce a value of R In 18 for the configurational entropy, and hence an 18-fold disordering at the transition.…”
Section: Resultsmentioning
confidence: 99%
“…This is an unreasonably large number of distinguishable orientations. Clark and coworkers (15,16) have examined the entropies of transition for several cage hydrocarbons and proposed an empirical equation involving an excess entropy, which depends upon the temperature range of the disordered phase, eq. [2].…”
Section: Introductionmentioning
confidence: 99%