Correction: Nanomanufacturing and Metrology (2023) 6:3 https://doi.org/10.1007/s41871-023-00180-y

The original version of this article [1] unfortunately contained some mistakes in formula (1). The author found that the correction coefficients \(\alpha_{1}\),\(\alpha_{2}\) and \(\alpha_{3}\) were missing. The corrected version of formula (1) is given below:

$$\alpha_{1} \frac{{\rho_{3} c_{3} S_{3} }}{{\rho_{2} c_{2} S_{2} }}\tan k_{2} l_{2} \tan k_{3} l_{3} + \alpha_{2} \frac{{\rho_{3} c_{3} S_{3} }}{{\rho_{1} c_{1} S_{1} }}\tan k_{3} l_{3} \tan k_{1} l_{1} + \alpha_{3} \frac{{\rho_{2} c_{2} S_{2} }}{{\rho_{1} c_{1} S_{1} }}\tan k_{2} l_{2} \tan k_{1} l_{1} = 1$$
(1)

The following sentence is adjusted at the end of the last paragraph of the formula (1) based on the formula change:

‘……the rear end cover, respectively; and \(\alpha_{1}\),\(\alpha_{2}\) and \(\alpha_{3}\) are correction coefficients that can be adapted according to design requirements.’

The original publication has been corrected.