Table 3.

Previously Published DNA Correction Factors

Eq no.	Name	ref	Equation	Accuracyc
DNA Tm Correction Factors
7	Schildkraut-Lifson Tm equation	13	$T_m(2)=T_m(1)+16.6\text{log}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	7.2 °C
8	Wetmur Tm equation	14	$T_m(2)=T_m(1)+16.6\text{log}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2(1+0.7{\left[{\mathit{\text{Na}}}^{+}\right]}_1)}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1(1+0.7{\left[{\mathit{\text{Na}}}^{+}\right]}_2)}$	4.5 °C
9	Frank-Kamenetskii Tm equation	15	$T_m(2)=T_m(1)+(7.95-3.057fGC)\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	5.1 °C
10	Marmur-Schildkraut-Doty Tm equation	16, 17	$T_m(2)=T_m(1)+(8.75-2.83fGC)\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	6.7 °C
11	Tm and 12.5log[Na+] equation	18	$T_m(2)=T_m(1)+12.5\text{log}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	4.2 °C
12	SantaLucia Tm equationa, b	19	$\frac{1}{T_m(2)}=\frac{1}{T_m(1)}+\frac{0.368N}{\mathrm{\Delta }H°}\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	1.4 °C
13	Owczarzy Tm linear equation	12	$T_m(2)=T_m(1)+(-3.22fGC+6.39)\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	2.3 °C
14	Owczarzy 1/Tm linear equationb	12	$\frac{1}{T_m(2)}=\frac{1}{T_m(1)}+(3.85fGC-6.18)\times {10}^{-5}\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	1.5 °C
15	Owczarzy Tm quadratic equation	12	$T_m(2)=T_m(1)+(-4.62fGC+4.52)\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}-0.985({\text{ln}}^2{\left[{\mathit{\text{Na}}}^{+}\right]}_2-{\text{ln}}^2{\left[{\mathit{\text{Na}}}^{+}\right]}_1)$	1.5 °C
16	Owczarzy 1/Tm quadratic equationb	12	$\frac{1}{T_m(2)}=\frac{1}{T_m(1)}+(4.29fGC-3.95)\times {10}^{-5}\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}+9.40\times {10}^{-6}({\text{ln}}^2{\left[{\mathit{\text{Na}}}^{+}\right]}_2-{\text{ln}}^2{\left[{\mathit{\text{Na}}}^{+}\right]}_1)$	1.1 °C
DNA ΔG°37 Correction Factor
17	SantaLucia ΔG°37 equationa	19	$\mathrm{\Delta }{G°}_{37}(2)=\mathrm{\Delta }{G°}_{37}(1)-0.114\times N\text{ln}\frac{{\left[{\mathit{\text{Na}}}^{+}\right]}_2}{{\left[{\mathit{\text{Na}}}^{+}\right]}_1}$	0.21 kcal/mol

^aN is the total number of phosphates in the duplex divided by 2.

^bIn this equation, T_m should be in units of K.

^cAs described in Materials and Methods, |ΔT_m|_ave is used to evaluate the accuracy of previously published DNA T_m correction factors in predicting RNA T_m values, and |ΔΔG°₃₇|_ave is used to evaluate the accuracy of the previously published DNA ΔG°₃₇ correction factor in predicting RNA ΔG°₃₇ values.