structural root mean square deviation

symbols, variables and units

r_i,s_i: corresponding coordinates (Å or nm); N: number of points; RMSD: unit of the same length.

applicable conditions and boundaries

To determine the atomic correspondence, the optimal superposition of rigid bodies is usually carried out first.

formula source code

The following is a copyable LaTeX expression.

\mathrm{RMSD}=\sqrt{\frac1N\sum_i\lVert\mathbf r_i-\mathbf s_i\rVert^2}

Reference and Extended Learning

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.