# 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_________________^#_________________________________________
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,_______________@
`
end

begin 666 SBSDUPLEXBMPmar9.bmp
M0DWB40```````#X````H````6P\$``-L!```!``\$``````*11``#!'@``P1X`
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M_____________________________________________^#_____________
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M_________________________________________^#_________________
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M__________________[___@`/____^#_____________________________
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M_____________O__________X/____XG____________________________
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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_]__________[_
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`
end

```