Supporting information for: Communication: Analysis of and remedies for unphysical ground states of the Multireference Averaged Coupled-Pair Functional D. B. Krisiloff, V. B. Oyeyemi, F. Libisch, and E. A. Carter Contents: Methanol Equilibrium geometry Geometry/Input file for the twisted methanol Examples of MRACPF2 instabilities Page 1 Page 1 Page 2 Methanol equilibrium geometry (in Ångstroms) (Cartesian coordinates) C 0.00000 0.00000 O 1.41571 0.00000 H -0.36530 0.00000 H -0.36555 0.88355 H -0.35504 -0.89932 H 1.70118 0.80892 0.00000 0.00000 -1.02997 0.52785 0.50978 -0.45847 Twisted Methanol geometry (in Ångstroms) and MOLCAS input file (Cartesian coordinates) C 0.00000 0.00000 O 10.00000 0.00000 H -0.36530 0.00000 H -0.36555 0.88355 H -0.35504 -0.89932 H 10.28547 0.92981 0.00000 0.00000 -1.02997 0.52785 0.50978 0.00000 (MOLCAS input file, including the additional 2𝑒 − point charge) &Gateway coord=BLANK.xyz basis=cc-pVDZ group=nosym &Seward Cholesky CHOINPUT THRCholesky = 1.0D-8 ENDCHOINPUT &ESPF External = 1 0.0 0.0 4.0 2.0 0.0 0.0 0.0 MultipoleOrder = 0 1 >> LINK ORBGUESS INPORB &Rasscf inactive = 8 nactel = 2 0 0 Ras2 = 2 Spin = 1 Examples of MRACPF2 instabilities We have found cases of MRACPF2 instabilities using a CAS(2,2) for C-O bond dissociation to produce an acyloxyl radical. For example dissociating the C-O bond in methyl formate with CAS(2,2)-MRACPF produces instabilities. O1 O4 C2 C3 H5 H6 H7 H8 0.00000 0.00000 0.00000 -0.00896 0.00000 -2.32871 10.00000 0.00000 0.00000 -0.37493 0.00000 -1.16202 9.93618 0.00006 1.07788 10.03184 0.93511 -0.53885 10.03175 -0.93517 -0.53874 -1.53910 -0.00000 -1.16353 We have also seen some cases of MRACPF2 instabilities for transition states. The following transition state for hydrogen abstraction from methyl formate by an oxygen radical is unstable for CAS(4,4)MRACPF2 (triplet spin state) C O O C H H H H O -0.1599594386 0.0405390116 0.3106528941 -0.0738396292 0.0953202010 1.5026193666 0.8059214480 -0.0757885299 -0.5888392934 2.1544517075 -0.1504485051 -0.0489293033 -1.2857953385 0.0941338207 -0.3364574748 2.2502309963 -1.0330198767 0.5996881174 2.3781896762 0.7589074013 0.5269596924 2.8107346860 -0.2330664210 -0.9220068995 -2.2963699377 0.2232412181 -1.0331290095 CAS(3,3)-MRACPF2 is unstable for the transition state for beta scission of a methyl acetate C C O O C H H H H 0.6598791699 0.9994912113 1.6365766245 -0.9029207077 -2.1069948165 1.3102686362 -0.2227645198 -2.0244810599 -2.6264491089 1.4003652808 0.0472455453 0.1056362633 -0.0545185974 -0.8582752366 -0.0993194213 -0.5391912290 0.2575353673 0.0046686092 -0.1520413121 2.0427004438 0.6233705673 1.7942362998 -0.4188850544 0.6589215905 -1.0313968085 0.5361968983 0.6551555987 2 H -2.7504351211 -0.8405452918 -0.4423166333 (All geometries are in Ångstroms) 3