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L→ ∞[sin(qL/2)/q] = πδ(q), we get of course the same energy of the complex, Eq. (16).
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s and the part of the string attached to the cylinder (cylinder and strings are of finite sizes) requires the full free energy of charged semiflexible chains in solution which is a more complicated task.
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44
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The helical pitch in salt-free solution of DNA wrapped around a cylindrical dendrimer was reported to be ∼23plusmn;3Å (Ref. 19). This is smaller than the pitch of DNA in a nucleosome, 24-27 Å (Refs. 31 and 32), which is close to the equilibrium DNA-DNA separation in hexagonal aggregates (Refs. 43 and 44) and in 2D DNA lattices (Ref. 45). Note that in the region of interaxial separations ∼20-25 Å a very strong DNA-DNA repulsion is detected (Ref. 43). The pitch of DNA-dendrimer complexes was reported to further decrease at higher salt concentrations (Ref. 20). A simultanious swelling of the dendrimers, however, complicates the calculation of the real fraction of the neutralized dendrimer charge by the wrapped DNA.
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