$$\theta_{A/B} = \frac{\alpha^{17}_{A/B}}{\alpha^{18}_{A/B}}$$
$$ \delta'^{17}O_{H2O,VSMOW} =
\beta \times \delta'^{18}O_{H2O,VSMOW} + \gamma
\textrm{ , where } \beta=0.528 \textrm{ and } \gamma = 0 $$
$$\Delta^{17}O_{CaCO3,VSMOW} = \delta'^{17}O_{CaCO3,VSMOW} -
\lambda \times \delta'^{18}O_{CaCO3,VSMOW} $$
"Wostbrock20"
: Wostbrock et al. (2020):
$$\theta_{aragonite/water} = \frac{-1.53}{T} + 0.5305$$
$$\theta_{calcite/water} = \frac{-1.39}{T} + 0.5305$$
"GZ19"
: Guo and Zhou (2019):
$$\theta_{aragonite/water} = \frac{78.1173}{T^{2}} - \frac{1.5152}{T} + 0.5299$$
$$\theta_{calcite/water} = \frac{59.1047}{T^{2}} - \frac{1.4089}{T} + 0.5297$$