Spontaneous curvature effects on spontaneous vesicles

Self-Assembly

Volumn , Issue , 2003, Pages 432-442

  Zasadzinski, J A ^a   Jung, H T ^a   Coldren, B ^a   Kaler, E W ^b  

^a University of California   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

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[No Author keywords available]

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EID: 84880184760     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (59)

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54. The forms of the Helfrich energy in Eqn. 1 and 2 are related by a constant term independent of the vesicle curvature.
55. The minimum ionic strength of these catanionic solutions is equal to the concentration of the minor surfactant component, and the maximum is the total surfactant concentration (See Ref. 50). For these experiments the ionic strength ranges from about 10 - 100 mM. This leads to a Debye length of 1 - 10 nm (See Ch. 12 of Ref. 50), a small fraction of the average intervesicle spacing (as seen in the micrographs) of 75 - 100 nm. Hence, electrostatic interactions are negligible between the vesicles and the ideal mixing approximation in Eqns. 3 and 5 is justified.
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58. 0 is smaller than the mean vesicle size because κ is positive. A positive means that the Gaussian curvature energy increases proportional to the number of vesicles. Hence, the minimum energy vesicle (or cylinder) has a radius larger than the spontaneous curvature to minimize the total curvature energy. However, using the mean vesicle or cylinder diameter or the corrected value of the spontaneous curvature does not have an effect on the values we calculate for κ and κ within experimental error.
59. B; however, this overestimates the entropy difference as there are additional orientational modes for a cylinder. However, the entropy contribution is negligible in comparison to the errors in the experimental measurements.