Electronic Supplementary Information: Classical free energy calculation methods
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چکیده
The ensemble average is calculated as a time average from a molecular dynamics simulations in the canonical (NVT) ensemble. The coupling parameter, λ, is chosen such that the Hamiltonian is changed from describing the bound state to describing the free state of the Zn ion. If the transformation process is reversible, the free energy change is independent of the reaction path and only depends on the initial and final states. Therefore we are free to choose the path of integration in Eq. (1) as long as the reversibility condition is met. Determining differences between two large numbers, as is the case in Eq. (1), can be problematic since the statistical errors involved are large as well. If λ is constructed wisely, large energy differences and their errors can be made to cancel in the final result. In general
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