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. Author manuscript; available in PMC: 2024 Jul 11.
Published before final editing as: J Chem Theory Comput. 2023 Jan 11:10.1021/acs.jctc.2c00697. doi: 10.1021/acs.jctc.2c00697

Table 1:

The scaling behavior/λ-dependence of the weight functions in eq. 4, controlled by the gti_add_sc flag, for different energy terms and regions/interactions in AMBER22a.

Weight Symbol Energy Term Abbreviation Region / Interaction gti_add_sc flag
1 2 3 4 5 6

W{0/1},bondSC bond SC P P P P P P

W{0/1},angSC ang SC P P P P P P

W{0/1},torSC tor SC P P P S S S

W{0/1},dirSC dir SC P S S P S S

W{0/1},14EleSC 1–4 Ele SC P S S S S S

W{0/1},LJSC LJ SC P P S P P S

W{0/1},14LJSC 1–4 LJ SC P P S S S S

W{0/1},bondSC/(CC+I) bond SC/(CC+I) Special treatmentb

W{0/1},angSC/(CC+I) ang SC/(CC+I) Special treatmentb

W{0/1},torSC/(CC+I) tor SC/(CC+I) Special treatmentb

W{0/1},dirSC/(CC+I) dir SC/(CC+I) S S S S S S

W{0/1},14EleSC/(CC+I) 1–4 Ele SC/(CC+I) S S S S S S

W{0/1},LJSC/(CC+I) LJ SC/(CC+I) S S S S S S

W{0/1},14LJSC/(CC+I) 1–4 LJ SC/(CC+I) S S S S S S

W{0/1}CC+I all CC+I S S S S S S

W {0/1},rec rec all S S S S S S
a

Energy terms and interacting regions are defined in the text (and also Tables S1 and S2 of the Supporting Information).

Flags:

S: Scaled (S) with λ (weight in eq 9 set to the λ-dependent weight function) and the corresponding energy term is NOT present in the dummy state.

P: Not scaled with λ (weight in eq 9 set to 1) and corresponding energy term is present (P) in the dummy state.

b

Bonded terms between the SC and (CC+I) regions require special treatment such that they obey certain conditions in order that the ensembles generated in the state that contains “dummy atoms” reproduce the same potential of mean force on the real atoms as the real system without the dummy atoms. A discussion of the energy term requirements that satisfy these conditions has been made by Boresch and Karplus26,27 and Roux and co-workers,25,28 and recently discussed in depth in the context of alchemical transformations.29