Correction to: Scientific Reports https://doi.org/10.1038/s41598-024-56042-0, published online 05 March 2024


The original version of this Article contained a display error in Equations. 4, 5 and 6.


Equation 4

$$ \left\{ {\begin{array}{*{20}c} {\phi = 0.30} \\ {\theta = \alpha - \phi } \\ {\lambda = 1 - \frac{{\theta (\frac{1}{\alpha } - \frac{{M_{O} }}{{M_{P} }})}}{{(\frac{1}{\beta } - \frac{{M_{O} }}{{M_{P} }})}}} \\ \end{array} } \right. $$

now reads,

$$ \left\{ {\begin{array}{*{20}c} {\phi = 0.30} \\ {\theta = \alpha *(1 - \phi )} \\ {\lambda = 1 - \frac{{\theta (\frac{1}{\alpha } - \frac{{M_{O} }}{{M_{P} }})}}{{(\frac{1}{\beta } - \frac{{M_{O} }}{{M_{P} }})}}} \\ \end{array} } \right. $$

Equation 5

$$\begin{array}{c}{W}_{non-ox}^{mec}/\eta ={A}_{P}\cdot {l}_{{P}_{crit}}+{A}_{T}\cdot \theta +{A}_{G}\cdot (1-\lambda -{l}_{{P}_{crit}})\end{array}$$

now reads,

$$\begin{array}{c}{W}_{non-ox}^{mec}/\eta ={A}_{P}\cdot {l}_{{P}_{crit}}+{A}_{T}\cdot \theta +{A}_{G}\cdot ({l}_{{P}_{crit}}-\theta )\end{array}$$

Equation 6

$$\begin{array}{c}{A}_{G}=\frac{{W}_{non-ox}^{mec}/\eta -{A}_{P}\cdot {l}_{{P}_{crit}}-{A}_{T}\cdot \theta }{1-\lambda -{l}_{{P}_{crit}}}\end{array}$$

now reads,

$$\begin{array}{c}{A}_{G}=\frac{{W}_{non-ox}^{mec}/\eta -{A}_{P}\cdot {l}_{{P}_{crit}}-{A}_{T}\cdot \theta }{{l}_{{P}_{crit} }-\theta }\end{array}$$

The original Article has been corrected.