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. Author manuscript; available in PMC: 2015 May 21.
Published in final edited form as: Soft Matter. 2012 Aug 13;8(36):9345–9355. doi: 10.1039/C2SM25607J
Symbol Equation
a Radius of DNA in cylindrical model
b Axial charge separation in cylindrical model of DNA
R Gas constant, 1.9859 (cal K−1 mol−1)
T Temperature
ZD Number of phosphate charges in DNA oligomer
Gcoul Coulombic Gibbs free energy
Gucoul Gcoul/∣ZD Coulombic Gibbs free energy per phosphate
charge
Gu,coul limZDGucoul Polymeric limit of Coulombic Gibbs free
energy
ncoul −(RT)−1∂Gcoul/ln C Salt ion association
Tm Transition temperature
STm dTm/dln C Salt-dependence of transition temperature
Kobs Observed equilibrium constant
ΔGobs° RTln Kobs Standard free energy change
SKobs ln Kobs/ln C Salt-dependence of equilibrium constant
Coefficients of DNA oligomeric model at C = 0.15 M
Ne Characteristic length of CEE
Gu,0 GucoulZD=0 Per phosphate free energy of oligomer at
ZD∣ = 0
G1 GucoulZDZD=0 First ∣ZD∣-derivative of per phosphate
oligomer free energy at ∣ZD∣ = 0
Gu,∞ GucoulZD= Per phosphate free energy of polymer
2g Gucoul(1ZD)ZD= Negative first derivative of per phosphate free
energy with respect to 1/∣ZD∣ at ∣ZD∣ → ∞
nu,0 nucoulZD=0 Per phosphate salt ion association of
oligomer at ∣ZD∣ = 0
I1 nucoulZDZD=0 First ∣ZD∣-derivative of per phosphate salt
ion association at ∣ZD∣ = 0
nu,∞ nucoulZD= Per phosphate salt ion association of
polymer
nucoul(1ZD)ZD= Negative first derivative of per phosphate
salt ion association with respect to 1/∣ZD∣ at ∣ZD∣ → ∞