DNA Melting Thermodynamics

$ \begin{align} \Delta G & = \Delta H - T \Delta S \quad (1)\\ & = -R T \ln K \quad (2)\\ \end{align} $

where

$ \Delta G $ is the change in free energy

$ \Delta H $ is the enthalpy change

T is the absolute temperature

$ \Delta S $ is the entropy change

R is the gas constant

K is the dissociation constant

Let $ C_T \quad $ be the total concentration of ssDNA.

$ \begin{align} C_{ss} & = \left [ A \right ] = \left [ A' \right ] \quad (3) \\ C_{ds} & = \left [ AA' \right ] \quad (4) \\ \end{align} $