DNA Structure: Puzzle #2 (Version 2)

Clive Delmonte clived at ndirect.co.uk
Wed Mar 10 15:14:56 EST 1999


Optical Diffraction Compared With X-Ray Diffraction for B-DNA

It was Franklin's famous diffraction photograph of B-DNA (3), shown to him
by Wilkins, that Watson sketched on the train back to Cambridge to rejoin
Crick.

One of Wilkins' collaborators, A R Stokes (4), produced probably the first
optical diffraction prediction of the pattern arising from a true
side-by-side helical structure, this one having 8 repeat units per full
turn, a montage of which I have assembled as attachment 1.  This true
side-by-side structure mirrors that portrayed in attachment 2 (taken from
ref. 2 (Puzzle #1)).

The likeness of Stokes' optical diffraction pattern would seem to resemble
closely Franklin's X-ray diffraction pattern (attachment 3).

In the same paper (4), Stokes, from his work on the Fourier transform for a
helix, showed that, defining as "delta" the angle between an arm of the
"helical cross" and the Y-axis (meridian),

        tan delta = helical pitch / helical circumference

Applying this result to Franklin's photograph of B-DNA (see attachment 3),
delta is measured as 40 degrees, and, with a pitch of 3.34 nm, the helical
diameter is found to be some 1.3 nm.

Even in later work with better definition, for example, from Wilkins' group
(attachment 4), we see a similar value of delta.

For a supposed double helical diameter of 2 to 2.2 nm, delta should be 28 -
26 degrees respectively, far removed from the actual values of 40 - 41.

The helical diameter of 1.3 nm, found from Stokes' equation applied to
Franklin's & Wilkins' photographs, coincides with the STM value of 1.3 nm
measured by Lee et al. (Puzzle #1, ref. 1), recorded in their Figure 3(D),
and accords with the Watson-Crick base pair width of 1.1 nm which determines
the sugar-phosphate chain diameter set out in the attachment 2 here.
-------------------------------------------------------------
3        Molecular Configuration in Sodium Thymonucleate; R.E. Franklin &
R.G. Gosling; Nature Vol 171 (1953) 740 - 741

4        The Theory of X-ray Fibre Diagrams; A.R. Stokes; Prog. Biophys. &
Biophys. Chem. Vol 5 (1955) 140 - 167
--------------------------------------------------------------
Clive Delmonte



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M`__T_O___________^#_________________________________________
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M_____^#__________^^_^.[]WS]^^Y\[_Y^[_Y]SON?.Y[[^._W_________
M____X/__________\#_[[/S>OW\#OSO_O[N_GS/ [\[/P/[[^?__________
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MX/__________^G_GK/S3OW^OO_O_O[N_GS/K[_[GZ_GKG______________@
M___________Z_^>N_->_?X^?N_^?N_^?<^/G[O?K^>N______________^#_
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M_____________________________________________^#_____________
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M_____________________^#_____________________________________
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M___________________ at ________________________________________
M_________________^#_________________________________________
M________________X/__________________________________________
,_______________@
`
end

begin 666 SBSDUPLEXBMPmar9.bmp
M0DWB40```````#X````H````6P$``-L!```!``$``````*11``#!'@``P1X`
M``(````"`````````/___P#_____________________________________
M____________________X/______________________________________
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M____________________________________________________X/______
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M_________________________________________________^#_________
M________________________________________________X/__________
M_______________________________________________ at ____________
M_____________________________________________^#_____________
M____________________________________________X/______________
M___________________________________________ at ________________
M_________________________________________^#_________________
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M_______________________________________ at ____________________
M_____________________________________^#_____________________
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M_________________________________^#_________________________
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M_^#_________________^/8_?$ 1________________________________
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MPO_________ at __________??____WWWW____7_O_?___Z]?^H____O_____Q
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M>H?_____[__^]________P#_____X/____X!____^GKW?____]_]O______]
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M___^______O_________X/__`/X?________________________________
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M_____O__^ `_____X/____]_____________________________________
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M______O______^#__W__C_______________________________________
M____^_______X/_____Q________________________________________
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M_@'_C________QW______O_______^^____________P___Y_____^#_____
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M___?_O____]_G\____O7WL#____^`/___^__________X/____^__[L_____
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M____ at O______][[_______________R /____^#_____________________
M____!______W_O___________G^/_>>_____X/______________________
M__________!@___________^_^_[[[_____ at ________________________
M______________________[Y__O______^#_________________________
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M___________________^___[_______ at ____________________________
M__________________[___@`/____^#_____________________________
M_________________O__^ `_____X/____\_________________________
M_______________^``_[_______ at _____S__________________________
M______________X`#_O______^#_____/___________________________
M_____________O__________X/____XG____________________________
M_______________________ at _________________________]__________
M_____________________^#________W?______]________^___________
M_________^!_________X/________^#_______ at _______Z_______W@___
M___?____@#_________ at ________#_______ at ________WO______O>_____
M_W]___\?'________^#________O?______]________>______^]_______
M=____W_/__^_____X/_______^]_______W_______][______[_O_____]_
M___^_^__P______ at __[_____[WP?_____?\/____[WO at _____O>]_____W__
M__[_[__O_____^#__@?_/__O?______]__?____O>______^]_P?____`'__
M_O__________X/_^^_Z1_^]_W___\'W_]____^][_W___]S_O?____\`?__^
M___[_______ at _____=W_[W_?_____?_W___][WO_?____O_]__________[_
M[_O______^#__O?]_?_O>]_____]W_?____O>______^__W__________@`/
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M`#_____ at __[[____[Y/______^;W___][WW_^_____^][____Y[___[___O_
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._________________^ `
`
end





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