a. d. d. 9/29/2004 physics 850: soft condensed matter...

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A.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter Physics, Fall04 A.D. Dinsmore Lecture 6: the Worm-like Chain (‘Kratky-Porod’) Model (see next page for definition of u)

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Page 1: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

A.D.D. Phys 850 9/04 1

A. D. D. 9/29/2004

Physics 850: Soft Condensed Matter Physics, Fall04 A.D. Dinsmore

Lecture 6: the Worm-like Chain (‘Kratky-Porod’) Model

(see next page for definition of u)

Page 2: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

A.D.D. Phys 850 9/04 2

all of the molecular detail is in this one parameter

Page 3: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

A.D.D. Phys 850 9/04 3

Page 4: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

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Page 5: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

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Page 6: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

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Page 7: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

A.D.D. Phys 850 9/04 7

DNA experiment: 97,000-base DNA force-vs.-extension curve measured with laser trap and microscopy. (from R.H. Austin et al, Physics Today Feb., 1997 p32).

Solid curve: WLC model, lp = 50 nm. Dashed curve: FJC model.

Page 8: A. D. D. 9/29/2004 Physics 850: Soft Condensed Matter ...people.umass.edu/dinsmore/Phys850f04/Lect_06_wormlikechain.pdfA.D.D. Phys 850 9/04 1 A. D. D. 9/29/2004 Physics 850: Soft Condensed

A.D.D. Phys 850 9/04 8

Model works for all extensions (for DNA, at least) until full extension (L ~ L0), when bond stretching plays a role.

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