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Lecture Notes for ENAS 606 - Polymer Physics with Osuji at Yale (Yale)

Notes Information

Material Type:Class Note
Professor:Osuji
Class:ENAS 606 - Polymer Physics
Subject:Engineering & Applied Science
University:Yale University
Term:Spring 2009
Keywords:
  • Persistence
  • Provided That
  • Macromolecules
  • Interaction
  • Approximations
  • No Correlation
  • Correlations
  • Circumference
  • Macromolecule
  • Flexibility
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Sample Document Text

ENAS 606 : Polymer Physics Chinedum Osuji 01.20.2009:HO2 Ideal Chain Conformations and Statistics 1 Overview Consideration of the structure of macromolecules starts with a look at the details of chain level chemical details which can impact the conformations adopted by the polymer. In the case of saturated carbon backbones, while maintaining the desired Ci 1 Ci Ci+1 bond angle of 112 , the placement of the nal carbon in the triad above can occur at any point along the circumference of a circle, de ning a torsion angle '. We can readily recognize the energetic di erences as a function this angle, U(') such that there are 3 minima - a deep minimum corresponding the the trans state, for which ' = 0 and energetically equivalent gauche and gauche+ states at ' = 120 degrees, as shown in Fig 1. Figure 1: Trans, gauche- and gauche+ con gurations, and their energetic sates 1.1 Static Flexibility The static exibility of the chain in equilibrium is determined by the di erence between the levels of the e...

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