From b2f069673bcaac09fbd6f47d4e3c3b991393ac41 Mon Sep 17 00:00:00 2001
From: Susi Lehtola
Date: Tue, 24 Mar 2020 08:19:33 +0200
Subject: [PATCH 1/2] Work towards implementing the superposition of fitted
atomic potentials initial guess.
---
pyscf/gto/basis/__init__.py | 9 +-
pyscf/gto/basis/grasp_large.dat | 2425 ++++++++++++++++++++++++++++++
pyscf/gto/basis/grasp_small.dat | 1421 +++++++++++++++++
pyscf/gto/basis/helfem_large.dat | 2102 ++++++++++++++++++++++++++
pyscf/gto/basis/helfem_small.dat | 1413 +++++++++++++++++
pyscf/scf/dhf.py | 10 +
pyscf/scf/hf.py | 25 +-
pyscf/scf/rohf.py | 6 +
pyscf/scf/sapfit.py | 115 ++
pyscf/scf/uhf.py | 21 +
10 files changed, 7544 insertions(+), 3 deletions(-)
create mode 100644 pyscf/gto/basis/grasp_large.dat
create mode 100644 pyscf/gto/basis/grasp_small.dat
create mode 100644 pyscf/gto/basis/helfem_large.dat
create mode 100644 pyscf/gto/basis/helfem_small.dat
create mode 100644 pyscf/scf/sapfit.py
diff --git a/pyscf/gto/basis/__init__.py b/pyscf/gto/basis/__init__.py
index 829aeb02e8..1902ae542b 100644
--- a/pyscf/gto/basis/__init__.py
+++ b/pyscf/gto/basis/__init__.py
@@ -274,6 +274,11 @@
'bfdv5z' : 'bfd_v5z.dat',
'bfd' : 'bfd_pp.dat',
'bfdpp' : 'bfd_pp.dat',
+# Atomic potential
+ 'graspsmall' : 'grasp_small.dat',
+ 'grasplarge' : 'grasp_large.dat',
+ 'helfemsmall' : 'helfem_small.dat',
+ 'helfemlarge' : 'helfem_large.dat',
#
'ccpcvdzf12optri': os.path.join('f12-basis', 'cc-pCVDZ-F12-OptRI.dat'),
'ccpcvtzf12optri': os.path.join('f12-basis', 'cc-pCVTZ-F12-OptRI.dat'),
@@ -297,7 +302,7 @@
'pobtzvp' : 'pob-tzvp.dat',
'pobtzvpp' : 'pob-tzvpp.dat',
'crystalccpvdz' : 'crystal-cc-pvdz.dat',
-# ccECP
+# ccECP
'ccecp' : join('ccecp-basis', 'ccECP', 'ccECP.dat' ),
'ccecpccpvdz' : join('ccecp-basis', 'ccECP', 'ccECP_cc-pVDZ.dat'),
'ccecpccpvtz' : join('ccecp-basis', 'ccECP', 'ccECP_cc-pVTZ.dat'),
@@ -309,7 +314,7 @@
'ccecpaugccpvqz': join('ccecp-basis', 'ccECP', 'ccECP_aug-cc-pVQZ.dat'),
'ccecpaugccpv5z': join('ccecp-basis', 'ccECP', 'ccECP_aug-cc-pV5Z.dat'),
'ccecpaugccpv6z': join('ccecp-basis', 'ccECP', 'ccECP_aug-cc-pV6Z.dat'),
-# ccECP_He_core
+# ccECP_He_core
'ccecphe' : join('ccecp-basis', 'ccECP_He_core', 'ccECP.dat' ),
'ccecpheccpvdz' : join('ccecp-basis', 'ccECP_He_core', 'ccECP_cc-pVDZ.dat'),
'ccecpheccpvtz' : join('ccecp-basis', 'ccECP_He_core', 'ccECP_cc-pVTZ.dat'),
diff --git a/pyscf/gto/basis/grasp_large.dat b/pyscf/gto/basis/grasp_large.dat
new file mode 100644
index 0000000000..f91698cf79
--- /dev/null
+++ b/pyscf/gto/basis/grasp_large.dat
@@ -0,0 +1,2425 @@
+BASIS "ao basis" PRINT
+#BASIS SET: (5s) -> [1s]
+H s
+2.177953337809369e-02 -2.768309573178840e-01
+4.268788542106363e-02 3.603426650181518e-02
+8.366825542528468e-02 -1.170237636019692e+00
+1.639897806335580e-01 1.421506092626373e+00
+3.214199700417737e-01 -1.010471765790612e+00
+#BASIS SET: (7s) -> [1s]
+He s
+2.177953337809369e-02 -7.946572421811879e-01
+4.268788542106363e-02 1.057401714033404e+00
+8.366825542528468e-02 -2.067227582014311e+00
+1.639897806335580e-01 2.350132028455846e+00
+3.214199700417737e-01 -2.821161023517561e+00
+6.299831412818762e-01 1.817563953477475e+00
+1.234766956912478e+00 -1.542051848253664e+00
+#BASIS SET: (10s) -> [1s]
+Li s
+1.111200682555800e-02 -1.142912642170813e+00
+2.177953337809369e-02 6.779797381495882e-01
+4.268788542106363e-02 -1.114682458472089e+00
+8.366825542528468e-02 1.583269444454345e+00
+1.639897806335580e-01 -2.026625398721080e+00
+3.214199700417737e-01 2.208779125241563e+00
+6.299831412818762e-01 -2.531087076204130e+00
+1.234766956912478e+00 -5.551791401376249e-01
+2.420143235548455e+00 1.600681391442777e+00
+4.743480741674971e+00 -1.700222983582535e+00
+#BASIS SET: (11s) -> [1s]
+Be s
+1.111200682555800e-02 -2.089845539685484e-01
+2.177953337809369e-02 -7.079296918163891e-01
+4.268788542106363e-02 -2.938019882567460e-01
+8.366825542528468e-02 1.719007336068898e-01
+1.639897806335580e-01 -5.651463516987860e-01
+3.214199700417737e-01 -5.575692522688769e-01
+6.299831412818762e-01 1.596627478720620e-01
+1.234766956912478e+00 3.612347596790642e-01
+2.420143235548455e+00 -3.368447790562641e+00
+4.743480741674971e+00 2.975433851563139e+00
+9.297222253682943e+00 -1.966352464149168e+00
+#BASIS SET: (11s) -> [1s]
+B s
+2.177953337809369e-02 -9.909523547503341e-01
+4.268788542106363e-02 6.457223838006030e-01
+8.366825542528468e-02 -1.744925827340921e+00
+1.639897806335580e-01 1.465530636371113e+00
+3.214199700417737e-01 -2.617183194553945e+00
+6.299831412818762e-01 5.470780713949353e-01
+1.234766956912478e+00 -4.861265923827887e-01
+2.420143235548455e+00 1.194761440856382e-01
+4.743480741674971e+00 -2.448889164195862e+00
+9.297222253682943e+00 1.985059531638399e+00
+1.822255561721856e+01 -1.474789634066838e+00
+#BASIS SET: (11s) -> [1s]
+C s
+2.177953337809369e-02 -4.911950206951587e-01
+4.268788542106363e-02 -1.525496856047539e-01
+8.366825542528468e-02 -9.510323930007871e-01
+1.639897806335580e-01 7.960835311096162e-01
+3.214199700417737e-01 -2.402418208133895e+00
+6.299831412818762e-01 8.525783139048144e-01
+1.234766956912478e+00 -3.835775153362192e+00
+2.420143235548455e+00 4.979334663134068e+00
+4.743480741674971e+00 -6.642109658161644e+00
+9.297222253682943e+00 4.198028417740716e+00
+1.822255561721856e+01 -2.350944806930784e+00
+#BASIS SET: (12s) -> [1s]
+N s
+2.177953337809369e-02 -2.154240264353575e-01
+4.268788542106363e-02 -5.016366942145396e-01
+8.366825542528468e-02 -4.063227226724848e-01
+1.639897806335580e-01 -2.445303262211382e-01
+3.214199700417737e-01 -5.711201090598479e-01
+6.299831412818762e-01 -1.823233554256149e+00
+1.234766956912478e+00 -1.018871675361879e+00
+2.420143235548455e+00 -7.917657488724217e-01
+4.743480741674971e+00 1.331092550768517e+00
+9.297222253682943e+00 -3.504642125801183e+00
+1.822255561721856e+01 2.247895632986911e+00
+3.571620900974838e+01 -1.501441200860427e+00
+#BASIS SET: (11s) -> [1s]
+O s
+4.268788542106363e-02 -8.921893237093173e-01
+8.366825542528468e-02 4.487607834598748e-01
+1.639897806335580e-01 -1.673815478483448e+00
+3.214199700417737e-01 1.362985288491473e+00
+6.299831412818762e-01 -3.799508979427628e+00
+1.234766956912478e+00 7.842019144445658e-01
+2.420143235548455e+00 -4.465802781749517e+00
+4.743480741674971e+00 4.730469031259418e+00
+9.297222253682943e+00 -5.814122536685318e+00
+1.822255561721856e+01 3.336630565900123e+00
+3.571620900974838e+01 -2.017608483500226e+00
+#BASIS SET: (11s) -> [1s]
+F s
+4.268788542106363e-02 -5.511644882062683e-01
+8.366825542528468e-02 -1.009193374193273e-01
+1.639897806335580e-01 -1.079144646530040e+00
+3.214199700417737e-01 8.478087456314825e-01
+6.299831412818762e-01 -3.132045363076031e+00
+1.234766956912478e+00 3.347945808200166e-01
+2.420143235548455e+00 -5.552967020776123e+00
+4.743480741674971e+00 4.898728610016406e+00
+9.297222253682943e+00 -5.737331046257168e+00
+1.822255561721856e+01 3.441122951102443e+00
+3.571620900974838e+01 -2.368882985305390e+00
+#BASIS SET: (12s) -> [1s]
+Ne s
+4.268788542106363e-02 -3.170178640539234e-01
+8.366825542528468e-02 -4.659958068514243e-01
+1.639897806335580e-01 -4.608879213337786e-01
+3.214199700417737e-01 -2.828736323863268e-01
+6.299831412818762e-01 -9.315848803380504e-01
+1.234766956912478e+00 -2.814362858422101e+00
+2.420143235548455e+00 -1.625287881586701e+00
+4.743480741674971e+00 -2.270305056357756e+00
+9.297222253682943e+00 2.482153296237811e+00
+1.822255561721856e+01 -3.934427793137729e+00
+3.571620900974838e+01 2.081985464785248e+00
+7.000376965910681e+01 -1.461395066555269e+00
+#BASIS SET: (15s) -> [1s]
+Na s
+5.669391237529597e-03 -1.769279767650005e-01
+1.111200682555800e-02 -7.138972315733554e-01
+2.177953337809369e-02 -3.027671867166646e-01
+4.268788542106363e-02 6.564738443121314e-01
+8.366825542528468e-02 -8.353433851152658e-01
+1.639897806335580e-01 1.028619469143450e+00
+3.214199700417737e-01 -1.881800230592489e+00
+6.299831412818762e-01 -2.433894799789414e+00
+1.234766956912478e+00 1.727077492512763e+00
+2.420143235548455e+00 -5.248922590631992e+00
+4.743480741674971e+00 -1.322833830490708e+00
+9.297222253682943e+00 1.643391803372651e+00
+1.822255561721856e+01 -3.416073082247749e+00
+3.571620900974838e+01 1.936791898217052e+00
+7.000376965910681e+01 -1.659894193635409e+00
+#BASIS SET: (14s) -> [1s]
+Mg s
+1.111200682555800e-02 -5.521919361963228e-01
+2.177953337809369e-02 -5.564820160507225e-01
+4.268788542106363e-02 -3.160671383375302e-01
+8.366825542528468e-02 5.370550211519003e-01
+1.639897806335580e-01 -1.789895566646010e+00
+3.214199700417737e-01 1.493119615595788e+00
+6.299831412818762e-01 -2.963496670592576e+00
+1.234766956912478e+00 -2.343356286641210e+00
+2.420143235548455e+00 2.201683716848493e+00
+4.743480741674971e+00 -8.735154144465923e+00
+9.297222253682943e+00 5.943739824695513e+00
+1.822255561721856e+01 -5.897860797354952e+00
+3.571620900974838e+01 3.183307196013629e+00
+7.000376965910681e+01 -2.204400818020076e+00
+#BASIS SET: (14s) -> [1s]
+Al s
+1.111200682555800e-02 -7.432550235389499e-01
+2.177953337809369e-02 1.534258693573065e-02
+4.268788542106363e-02 -7.544919502688572e-01
+8.366825542528468e-02 8.569206704851240e-02
+1.639897806335580e-01 -1.079404093557969e+00
+3.214199700417737e-01 -1.467690132558346e+00
+6.299831412818762e-01 2.478537113871425e+00
+1.234766956912478e+00 -7.946175728458911e+00
+2.420143235548455e+00 5.894520180299878e+00
+4.743480741674971e+00 -9.508662286214530e+00
+9.297222253682943e+00 4.421859344234690e+00
+1.822255561721856e+01 -5.030064429622144e+00
+3.571620900974838e+01 3.135182342492044e+00
+7.000376965910681e+01 -2.501389990662574e+00
+#BASIS SET: (15s) -> [1s]
+Si s
+1.111200682555800e-02 -2.910631037557323e-01
+2.177953337809369e-02 -6.888436131412163e-01
+4.268788542106363e-02 -2.459698810707778e-01
+8.366825542528468e-02 -4.301672542933375e-01
+1.639897806335580e-01 -5.955227508675307e-01
+3.214199700417737e-01 -2.641483187675476e+00
+6.299831412818762e-01 1.663417544215918e+00
+1.234766956912478e+00 -3.077666556928307e+00
+2.420143235548455e+00 -2.981770044658333e+00
+4.743480741674971e+00 2.199941333848983e+00
+9.297222253682943e+00 -8.314617643132806e+00
+1.822255561721856e+01 6.060391250532120e+00
+3.571620900974838e+01 -5.646762868622318e+00
+7.000376965910681e+01 2.564631203422323e+00
+1.372073885318493e+02 -1.574514427873510e+00
+#BASIS SET: (14s) -> [1s]
+P s
+2.177953337809369e-02 -1.103411071511800e+00
+4.268788542106363e-02 3.793128442484885e-01
+8.366825542528468e-02 -1.493704216554761e+00
+1.639897806335580e-01 5.876534041017294e-01
+3.214199700417737e-01 -3.462250145385042e+00
+6.299831412818762e-01 -5.707822274416685e-01
+1.234766956912478e+00 1.481800239067525e+00
+2.420143235548455e+00 -7.816365325357765e+00
+4.743480741674971e+00 5.752276333980262e+00
+9.297222253682943e+00 -9.896630123723298e+00
+1.822255561721856e+01 5.529011890292168e+00
+3.571620900974838e+01 -5.020686508854851e+00
+7.000376965910681e+01 2.338500435231254e+00
+1.372073885318493e+02 -1.704725528092240e+00
+#BASIS SET: (14s) -> [1s]
+S s
+2.177953337809369e-02 -5.995984979599598e-01
+4.268788542106363e-02 -5.267266356968321e-01
+8.366825542528468e-02 -4.689805259695277e-01
+1.639897806335580e-01 -6.231725895777345e-01
+3.214199700417737e-01 -1.612423906568438e+00
+6.299831412818762e-01 -4.290996685624123e+00
+1.234766956912478e+00 4.259796158876270e+00
+2.420143235548455e+00 -8.025827186182141e+00
+4.743480741674971e+00 3.440367821604013e+00
+9.297222253682943e+00 -6.066921482328326e+00
+1.822255561721856e+01 1.345461548771709e+00
+3.571620900974838e+01 -2.596731221070513e+00
+7.000376965910681e+01 1.496958128409460e+00
+1.372073885318493e+02 -1.731204926683859e+00
+#BASIS SET: (14s) -> [1s]
+Cl s
+2.177953337809369e-02 -3.197155128655140e-01
+4.268788542106363e-02 -7.903950966428965e-01
+8.366825542528468e-02 -3.601270940853283e-01
+1.639897806335580e-01 -7.117530729155988e-01
+3.214199700417737e-01 -1.165603655623272e+00
+6.299831412818762e-01 -5.122228428721428e+00
+1.234766956912478e+00 2.197850521653891e+00
+2.420143235548455e+00 -3.231426318176091e+00
+4.743480741674971e+00 -2.592058638110757e+00
+9.297222253682943e+00 -3.290199218317866e-01
+1.822255561721856e+01 -3.099952175281942e+00
+3.571620900974838e+01 -6.451195054687560e-01
+7.000376965910681e+01 1.043737615807913e+00
+1.372073885318493e+02 -1.874188717738434e+00
+#BASIS SET: (14s) -> [1s]
+Ar s
+2.177953337809369e-02 -1.702398215056746e-01
+4.268788542106363e-02 -7.508997903496493e-01
+8.366825542528468e-02 -5.937206776579842e-01
+1.639897806335580e-01 -4.106102900113910e-01
+3.214199700417737e-01 -1.330345778027549e+00
+6.299831412818762e-01 -4.415322274900973e+00
+1.234766956912478e+00 -1.681533179245889e+00
+2.420143235548455e+00 1.791267566382885e+00
+4.743480741674971e+00 -6.908718566875905e+00
+9.297222253682943e+00 2.422187507618219e+00
+1.822255561721856e+01 -4.278048428706825e+00
+3.571620900974838e+01 -1.133343189023435e+00
+7.000376965910681e+01 1.749649413861334e+00
+1.372073885318493e+02 -2.290322491557163e+00
+#BASIS SET: (16s) -> [1s]
+K s
+5.669391237529597e-03 -5.061010302088107e-01
+1.111200682555800e-02 -7.795268360350747e-01
+2.177953337809369e-02 4.353433569194749e-01
+4.268788542106363e-02 -2.620899158064276e-01
+8.366825542528468e-02 6.880661167670041e-01
+1.639897806335580e-01 -1.999276339076459e+00
+3.214199700417737e-01 -3.875400672666728e+00
+6.299831412818762e-01 3.044102978892624e+00
+1.234766956912478e+00 -1.082011095806956e+01
+2.420143235548455e+00 8.500346262007952e+00
+4.743480741674971e+00 -1.052987603656948e+01
+9.297222253682943e+00 3.397104149684310e+00
+1.822255561721856e+01 -3.568734836764634e+00
+3.571620900974838e+01 -2.894819325767457e+00
+7.000376965910681e+01 2.999483692925423e+00
+1.372073885318493e+02 -2.828510606232157e+00
+#BASIS SET: (16s) -> [1s]
+Ca s
+5.669391237529597e-03 -1.616400569764664e-01
+1.111200682555800e-02 -8.141986197151709e-01
+2.177953337809369e-02 -7.288931412622333e-01
+4.268788542106363e-02 1.066557366400957e+00
+8.366825542528468e-02 -2.309982050443068e+00
+1.639897806335580e-01 2.599878834560513e+00
+3.214199700417737e-01 -6.796977892518044e+00
+6.299831412818762e-01 1.786680406890810e+00
+1.234766956912478e+00 -5.479682439006865e+00
+2.420143235548455e+00 -1.333406362682581e-01
+4.743480741674971e+00 -7.511672899127007e-01
+9.297222253682943e+00 -6.116116886958480e+00
+1.822255561721856e+01 4.433692207094282e+00
+3.571620900974838e+01 -8.800070063676685e+00
+7.000376965910681e+01 5.933970549609512e+00
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+2.689264815224247e+02 -4.373009741306305e+00
+5.270959037839524e+02 8.430342748761177e-01
+1.033107971416546e+03 -6.242642581462860e+00
+2.024891623976431e+03 3.943401880562305e+00
+3.968787582993804e+03 -6.492352679371834e+00
+7.778823662667854e+03 4.401135925203562e+00
+1.524649437882899e+04 -3.019347121939063e+00
+#BASIS SET: (23s) -> [1s]
+Cn s
+1.111200682555800e-02 -1.059570336656179e-01
+2.177953337809369e-02 -4.592923193704337e-01
+4.268788542106363e-02 -8.516599470749497e-01
+8.366825542528468e-02 -5.456040157005191e-01
+1.639897806335580e-01 -7.881340775638819e-01
+3.214199700417737e-01 -4.963086962699890e+00
+6.299831412818762e-01 -7.277985539287329e+00
+1.234766956912478e+00 -1.052677243947983e+01
+2.420143235548455e+00 -8.518683023750782e+00
+4.743480741674971e+00 -2.276467013359070e+01
+9.297222253682943e+00 -5.476132631301880e+00
+1.822255561721856e+01 -5.247318945825100e+00
+3.571620900974838e+01 -2.848588374257088e+01
+7.000376965910681e+01 6.839964538812637e+00
+1.372073885318493e+02 -1.209961232542992e+01
+2.689264815224247e+02 -3.084438309073448e+00
+5.270959037839524e+02 -1.826912224292755e+00
+1.033107971416546e+03 -2.015772208571434e+00
+2.024891623976431e+03 -2.040910355746746e+00
+3.968787582993804e+03 7.169900834560394e-01
+7.778823662667854e+03 -2.542841114103794e+00
+1.524649437882899e+04 1.428605254739523e+00
+2.988312898250482e+04 -1.363892527908320e+00
+#BASIS SET: (25s) -> [1s]
+Nh s
+2.892546549759998e-03 -1.405957267998019e-01
+5.669391237529597e-03 -2.663000557804480e-01
+1.111200682555800e-02 -3.171698760706931e-01
+2.177953337809369e-02 -9.335404634475708e-02
+4.268788542106363e-02 1.591010019183159e-01
+8.366825542528468e-02 -1.379127761349082e+00
+1.639897806335580e-01 -2.135509831830859e+00
+3.214199700417737e-01 -2.738474797457457e+00
+6.299831412818762e-01 -8.558581717312336e+00
+1.234766956912478e+00 -1.022353810817003e+01
+2.420143235548455e+00 -8.761396057903767e+00
+4.743480741674971e+00 -2.185213998705149e+01
+9.297222253682943e+00 -7.855398841202259e+00
+1.822255561721856e+01 -2.814966946840286e+00
+3.571620900974838e+01 -2.986094777286053e+01
+7.000376965910681e+01 6.633702680468559e+00
+1.372073885318493e+02 -1.156701187789440e+01
+2.689264815224247e+02 -3.613168016076088e+00
+5.270959037839524e+02 -1.678209900856018e+00
+1.033107971416546e+03 -1.997388839721680e+00
+2.024891623976431e+03 -2.211445450782776e+00
+3.968787582993804e+03 9.105392247438431e-01
+7.778823662667854e+03 -2.787097755819559e+00
+1.524649437882899e+04 1.623091967776418e+00
+2.988312898250482e+04 -1.474611506782821e+00
+#BASIS SET: (25s) -> [1s]
+Fl s
+2.892546549759998e-03 -3.748540421656799e-02
+5.669391237529597e-03 -2.673735170392320e-01
+1.111200682555800e-02 -4.764449631329626e-01
+2.177953337809369e-02 -2.628495059907436e-01
+4.268788542106363e-02 -4.448868334293365e-02
+8.366825542528468e-02 -6.424764785915613e-01
+1.639897806335580e-01 -2.671887794509530e+00
+3.214199700417737e-01 -3.355524387210608e+00
+6.299831412818762e-01 -7.061743471771479e+00
+1.234766956912478e+00 -1.177526802942157e+01
+2.420143235548455e+00 -7.741591490805149e+00
+4.743480741674971e+00 -2.195555992424488e+01
+9.297222253682943e+00 -9.242203012108803e+00
+1.822255561721856e+01 -1.431701682507992e+00
+3.571620900974838e+01 -3.021223977208138e+01
+7.000376965910681e+01 5.557557255029678e+00
+1.372073885318493e+02 -1.035419473052025e+01
+2.689264815224247e+02 -4.668149232864380e+00
+5.270959037839524e+02 -1.115047231316566e+00
+1.033107971416546e+03 -2.309611454606056e+00
+2.024891623976431e+03 -2.127569019794464e+00
+3.968787582993804e+03 9.288666769862175e-01
+7.778823662667854e+03 -2.934448607265949e+00
+1.524649437882899e+04 1.782229809090495e+00
+2.988312898250482e+04 -1.580795347763342e+00
+#BASIS SET: (24s) -> [1s]
+Mc s
+5.669391237529597e-03 -2.230956765124574e-01
+1.111200682555800e-02 -4.275332367978990e-01
+2.177953337809369e-02 -6.120174406096339e-01
+4.268788542106363e-02 7.849087286740541e-02
+8.366825542528468e-02 -7.850486896932125e-01
+1.639897806335580e-01 -2.209176387637854e+00
+3.214199700417737e-01 -4.454601831734180e+00
+6.299831412818762e-01 -5.957179173827171e+00
+1.234766956912478e+00 -1.241698449477553e+01
+2.420143235548455e+00 -7.649506077170372e+00
+4.743480741674971e+00 -2.128970930725336e+01
+9.297222253682943e+00 -1.114714700728655e+01
+1.822255561721856e+01 2.134333774447441e-01
+3.571620900974838e+01 -3.069167381525040e+01
+7.000376965910681e+01 4.621503040194511e+00
+1.372073885318493e+02 -9.336670845746994e+00
+2.689264815224247e+02 -5.500473782420158e+00
+5.270959037839524e+02 -7.673402428627014e-01
+1.033107971416546e+03 -2.436516121029854e+00
+2.024891623976431e+03 -2.191989220678806e+00
+3.968787582993804e+03 1.059284240007401e+00
+7.778823662667854e+03 -3.158235449343920e+00
+1.524649437882899e+04 1.982557207345963e+00
+2.988312898250482e+04 -1.700369937228970e+00
+#BASIS SET: (24s) -> [1s]
+Lv s
+5.669391237529597e-03 -1.199206945020705e-01
+1.111200682555800e-02 -4.613271784037352e-01
+2.177953337809369e-02 -6.855832785367966e-01
+4.268788542106363e-02 -1.027895240113139e-01
+8.366825542528468e-02 -6.522260811179876e-01
+1.639897806335580e-01 -2.209658794105053e+00
+3.214199700417737e-01 -4.815421182662249e+00
+6.299831412818762e-01 -5.885591249912977e+00
+1.234766956912478e+00 -1.204549064487219e+01
+2.420143235548455e+00 -8.326946698129177e+00
+4.743480741674971e+00 -2.007405796647072e+01
+9.297222253682943e+00 -1.336442005634308e+01
+1.822255561721856e+01 1.951918564736843e+00
+3.571620900974838e+01 -3.117068122327328e+01
+7.000376965910681e+01 3.726417347788811e+00
+1.372073885318493e+02 -8.432810276746750e+00
+2.689264815224247e+02 -6.181099355220795e+00
+5.270959037839524e+02 -5.725564509630203e-01
+1.033107971416546e+03 -2.432108327746391e+00
+2.024891623976431e+03 -2.360715553164482e+00
+3.968787582993804e+03 1.269260756671429e+00
+7.778823662667854e+03 -3.437745671719313e+00
+1.524649437882899e+04 2.213923193514347e+00
+2.988312898250482e+04 -1.830369654810056e+00
+#BASIS SET: (24s) -> [1s]
+Ts s
+5.669391237529597e-03 -6.535409932257608e-02
+1.111200682555800e-02 -4.144175292458385e-01
+2.177953337809369e-02 -7.596182110719383e-01
+4.268788542106363e-02 -2.718570847064257e-01
+8.366825542528468e-02 -5.134430509060621e-01
+1.639897806335580e-01 -2.298780752345920e+00
+3.214199700417737e-01 -5.017770498991013e+00
+6.299831412818762e-01 -6.074840996414423e+00
+1.234766956912478e+00 -1.152272845804691e+01
+2.420143235548455e+00 -8.972777687013149e+00
+4.743480741674971e+00 -1.898746820539236e+01
+9.297222253682943e+00 -1.533041706681252e+01
+1.822255561721856e+01 3.320881694555283e+00
+3.571620900974838e+01 -3.127121196687222e+01
+7.000376965910681e+01 2.558905228972435e+00
+1.372073885318493e+02 -7.376126974821091e+00
+2.689264815224247e+02 -6.938956975936890e+00
+5.270959037839524e+02 -3.360605239868164e-01
+1.033107971416546e+03 -2.456331998109818e+00
+2.024891623976431e+03 -2.510406054556370e+00
+3.968787582993804e+03 1.473719872534275e+00
+7.778823662667854e+03 -3.724990546703339e+00
+1.524649437882899e+04 2.458101103082299e+00
+2.988312898250482e+04 -1.968049217888620e+00
+#BASIS SET: (24s) -> [1s]
+Og s
+5.669391237529597e-03 -3.538035970996134e-02
+1.111200682555800e-02 -3.474737472133711e-01
+2.177953337809369e-02 -7.940282211638987e-01
+4.268788542106363e-02 -4.510640408843756e-01
+8.366825542528468e-02 -3.773445468395948e-01
+1.639897806335580e-01 -2.362233161926270e+00
+3.214199700417737e-01 -5.257983461022377e+00
+6.299831412818762e-01 -6.281871207058430e+00
+1.234766956912478e+00 -1.109199995920062e+01
+2.420143235548455e+00 -9.411058798432350e+00
+4.743480741674971e+00 -1.813348460197449e+01
+9.297222253682943e+00 -1.698943168669939e+01
+1.822255561721856e+01 4.298737734556198e+00
+3.571620900974838e+01 -3.099616803228855e+01
+7.000376965910681e+01 1.133232668042183e+00
+1.372073885318493e+02 -6.181470900774002e+00
+2.689264815224247e+02 -7.763397455215454e+00
+5.270959037839524e+02 -6.366993486881256e-02
+1.033107971416546e+03 -2.507139965891838e+00
+2.024891623976431e+03 -2.640993684530258e+00
+3.968787582993804e+03 1.671558074653149e+00
+7.778823662667854e+03 -4.018248077481985e+00
+1.524649437882899e+04 2.713361747562885e+00
+2.988312898250482e+04 -2.112448381638387e+00
diff --git a/pyscf/gto/basis/grasp_small.dat b/pyscf/gto/basis/grasp_small.dat
new file mode 100644
index 0000000000..d97e99aebc
--- /dev/null
+++ b/pyscf/gto/basis/grasp_small.dat
@@ -0,0 +1,1421 @@
+BASIS "ao basis" PRINT
+#BASIS SET: (3s) -> [1s]
+H s
+3.570467226624002e-02 -7.093443812209541e-01
+1.156831381426176e-01 1.773478345767412e-01
+3.748133675820811e-01 -4.680034533557871e-01
+#BASIS SET: (4s) -> [1s]
+He s
+3.570467226624002e-02 -9.105023689038774e-01
+1.156831381426176e-01 3.936408429904326e-01
+3.748133675820811e-01 -6.503314997020482e-01
+1.214395310965943e+00 -8.328069743845070e-01
+#BASIS SET: (6s) -> [1s]
+Li s
+1.101996057600000e-02 -9.514244576392343e-01
+3.570467226624002e-02 1.219872602820260e-02
+1.156831381426176e-01 2.488540117468858e-01
+3.748133675820811e-01 -1.041564639314430e+00
+1.214395310965943e+00 -1.890949461023013e-01
+3.934640807529656e+00 -1.078968694719123e+00
+#BASIS SET: (6s) -> [1s]
+Be s
+1.101996057600000e-02 -3.733117104118833e-01
+3.570467226624002e-02 -9.552914830540544e-01
+1.156831381426176e-01 9.464046666860781e-02
+3.748133675820811e-01 -1.194926861090494e+00
+1.214395310965943e+00 2.762798723086632e-01
+3.934640807529656e+00 -1.847390284420840e+00
+#BASIS SET: (7s) -> [1s]
+B s
+1.101996057600000e-02 -2.225364389478202e-01
+3.570467226624002e-02 -8.680072493465048e-01
+1.156831381426176e-01 -3.916046580580996e-01
+3.748133675820811e-01 -1.358679346916347e+00
+1.214395310965943e+00 -5.207065535896618e-01
+3.934640807529656e+00 -6.897883534468292e-01
+1.274823621639609e+01 -9.486773996947377e-01
+#BASIS SET: (6s) -> [1s]
+C s
+3.570467226624002e-02 -1.136519665493665e+00
+1.156831381426176e-01 -2.498467930820425e-04
+3.748133675820811e-01 -2.115532181039043e+00
+1.214395310965943e+00 -9.884645655383792e-01
+3.934640807529656e+00 -2.930740295577721e-01
+1.274823621639609e+01 -1.466159711578058e+00
+#BASIS SET: (6s) -> [1s]
+N s
+3.570467226624002e-02 -8.172296733672226e-01
+1.156831381426176e-01 -4.364148178255789e-01
+3.748133675820811e-01 -1.571092605786532e+00
+1.214395310965943e+00 -2.619424389221194e+00
+3.934640807529656e+00 5.436660176948749e-01
+1.274823621639609e+01 -2.099504531494347e+00
+#BASIS SET: (6s) -> [1s]
+O s
+3.570467226624002e-02 -5.685287409965696e-01
+1.156831381426176e-01 -7.824877752034922e-01
+3.748133675820811e-01 -9.162166955451880e-01
+1.214395310965943e+00 -4.088082206519402e+00
+3.934640807529656e+00 9.583332513352047e-01
+1.274823621639609e+01 -2.603017833070552e+00
+#BASIS SET: (6s) -> [1s]
+F s
+3.570467226624002e-02 -3.778938280743489e-01
+1.156831381426176e-01 -1.034335108290691e+00
+3.748133675820811e-01 -3.398496196311385e-01
+1.214395310965943e+00 -5.125165526360092e+00
+3.934640807529656e+00 8.654114436591840e-01
+1.274823621639609e+01 -2.988167361302914e+00
+#BASIS SET: (7s) -> [1s]
+Ne s
+3.570467226624002e-02 -2.799594912757186e-01
+1.156831381426176e-01 -9.595871515351178e-01
+3.748133675820811e-01 -6.081152180975096e-01
+1.214395310965943e+00 -4.135569196524784e+00
+3.934640807529656e+00 -2.424450744689011e+00
+1.274823621639609e+01 -7.252242575282253e-02
+4.130428534112331e+01 -1.519795772125036e+00
+#BASIS SET: (8s) -> [1s]
+Na s
+1.101996057600000e-02 -1.144525656480667e+00
+3.570467226624002e-02 3.837959776928983e-01
+1.156831381426176e-01 -1.822449459532436e-01
+3.748133675820811e-01 -2.052472214945055e+00
+1.214395310965943e+00 -2.316725936702824e+00
+3.934640807529656e+00 -4.231067858845108e+00
+1.274823621639609e+01 4.492876015874572e-01
+4.130428534112331e+01 -1.906046966353458e+00
+#BASIS SET: (8s) -> [1s]
+Mg s
+1.101996057600000e-02 -6.752333411997995e-01
+3.570467226624002e-02 -7.835971573521192e-01
+1.156831381426176e-01 4.667277652652047e-02
+3.748133675820811e-01 -1.834346020889825e+00
+1.214395310965943e+00 -2.391664376000335e+00
+3.934640807529656e+00 -4.329223515783724e+00
+1.274823621639609e+01 1.760177278129049e-03
+4.130428534112331e+01 -2.034368542578846e+00
+#BASIS SET: (8s) -> [1s]
+Al s
+1.101996057600000e-02 -7.224300859792265e-01
+3.570467226624002e-02 -5.246892804584604e-01
+1.156831381426176e-01 -1.036818945974119e+00
+3.748133675820811e-01 -1.270008360156226e+00
+1.214395310965943e+00 -2.447762761802551e+00
+3.934640807529656e+00 -4.392597658229533e+00
+1.274823621639609e+01 -3.898569378138745e-01
+4.130428534112331e+01 -2.215835969586010e+00
+#BASIS SET: (8s) -> [1s]
+Si s
+1.101996057600000e-02 -4.576370652653452e-01
+3.570467226624002e-02 -9.019714201739362e-01
+1.156831381426176e-01 -9.594175020386047e-01
+3.748133675820811e-01 -2.179835267374528e+00
+1.214395310965943e+00 -1.541216993835405e+00
+3.934640807529656e+00 -5.034144400921832e+00
+1.274823621639609e+01 -3.738103597529516e-01
+4.130428534112331e+01 -2.551966990637396e+00
+#BASIS SET: (8s) -> [1s]
+P s
+1.101996057600000e-02 -2.544080181411630e-01
+3.570467226624002e-02 -1.107280811365627e+00
+1.156831381426176e-01 -7.770619578961941e-01
+3.748133675820811e-01 -3.227164057482241e+00
+1.214395310965943e+00 -9.212211202429899e-01
+3.934640807529656e+00 -5.376555094846481e+00
+1.274823621639609e+01 -4.466294275730434e-01
+4.130428534112331e+01 -2.889679512452261e+00
+#BASIS SET: (7s) -> [1s]
+S s
+3.570467226624002e-02 -1.538168291572646e+00
+1.156831381426176e-01 -7.837927175660298e-02
+3.748133675820811e-01 -4.566363361131835e+00
+1.214395310965943e+00 -4.810702192148710e-01
+3.934640807529656e+00 -5.562410536977495e+00
+1.274823621639609e+01 -5.245663785694887e-01
+4.130428534112331e+01 -3.249041940777062e+00
+#BASIS SET: (7s) -> [1s]
+Cl s
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+#BASIS SET: (8s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (8s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+4.335958657969762e+02 -8.282479740002600e+00
+1.404850605182203e+03 1.162037536843854e+00
+4.551715960790338e+03 -3.329579027462614e+00
+#BASIS SET: (12s) -> [1s]
+Fm s
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+3.570467226624002e-02 1.066793517275073e-01
+1.156831381426176e-01 -2.122687811497599e+00
+3.748133675820811e-01 -5.937219051844295e+00
+1.214395310965943e+00 -1.908188527008315e+01
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+4.130428534112331e+01 -1.935647304497252e+01
+1.338258845052396e+02 -3.689919505035505e+00
+4.335958657969762e+02 -8.762171308953839e+00
+1.404850605182203e+03 1.396882752997044e+00
+4.551715960790338e+03 -3.477216138189078e+00
+#BASIS SET: (12s) -> [1s]
+Md s
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+3.570467226624002e-02 5.757406645443552e-02
+1.156831381426176e-01 -2.011991700799626e+00
+3.748133675820811e-01 -5.766253448495263e+00
+1.214395310965943e+00 -1.926949030889955e+01
+3.934640807529656e+00 -1.970176823600195e+01
+1.274823621639609e+01 -1.821080947403243e+01
+4.130428534112331e+01 -2.042094155185623e+01
+1.338258845052396e+02 -3.230304226206499e+00
+4.335958657969762e+02 -9.215605103039707e+00
+1.404850605182203e+03 1.618007778924948e+00
+4.551715960790338e+03 -3.622439980555555e+00
+#BASIS SET: (12s) -> [1s]
+No s
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+3.570467226624002e-02 8.694190717505990e-03
+1.156831381426176e-01 -1.906251845104634e+00
+3.748133675820811e-01 -5.600957235328679e+00
+1.214395310965943e+00 -1.938244025582389e+01
+3.934640807529656e+00 -2.079685662240809e+01
+1.274823621639609e+01 -1.728726925477531e+01
+4.130428534112331e+01 -2.145298588830337e+01
+1.338258845052396e+02 -2.812455201157718e+00
+4.335958657969762e+02 -9.637776504612702e+00
+1.404850605182203e+03 1.822738552349620e+00
+4.551715960790338e+03 -3.764458819095353e+00
+#BASIS SET: (13s) -> [1s]
+Lr s
+3.401222400000001e-03 -3.112419954163670e-02
+1.101996057600000e-02 -9.863077271429574e-01
+3.570467226624002e-02 -4.148078133275703e-01
+1.156831381426176e-01 -1.875786506428994e+00
+3.748133675820811e-01 -5.641049600515544e+00
+1.214395310965943e+00 -1.879124839480210e+01
+3.934640807529656e+00 -2.204164513160504e+01
+1.274823621639609e+01 -1.647751648398116e+01
+4.130428534112331e+01 -2.233275691942254e+01
+1.338258845052396e+02 -2.517900763370562e+00
+4.335958657969762e+02 -9.977223017660435e+00
+1.404850605182203e+03 1.982254175512935e+00
+4.551715960790338e+03 -3.894887617714403e+00
+#BASIS SET: (12s) -> [1s]
+Rf s
+1.101996057600000e-02 -8.421483470551721e-01
+3.570467226624002e-02 -7.402039800690545e-01
+1.156831381426176e-01 -1.759147022723482e+00
+3.748133675820811e-01 -6.020276717001252e+00
+1.214395310965943e+00 -1.806040074857447e+01
+3.934640807529656e+00 -2.320638688928011e+01
+1.274823621639609e+01 -1.580942145170411e+01
+4.130428534112331e+01 -2.307064744165109e+01
+1.338258845052396e+02 -2.338458961850847e+00
+4.335958657969762e+02 -1.023743107123300e+01
+1.404850605182203e+03 2.099016923937597e+00
+4.551715960790338e+03 -4.014494292795007e+00
+#BASIS SET: (12s) -> [1s]
+Db s
+1.101996057600000e-02 -6.672934580749370e-01
+3.570467226624002e-02 -1.002995069453391e+00
+1.156831381426176e-01 -1.630386069704400e+00
+3.748133675820811e-01 -6.503354578719154e+00
+1.214395310965943e+00 -1.737355796629708e+01
+3.934640807529656e+00 -2.419994176441833e+01
+1.274823621639609e+01 -1.533122725573776e+01
+4.130428534112331e+01 -2.363605328155973e+01
+1.338258845052396e+02 -2.295607726293383e+00
+4.335958657969762e+02 -1.040358353569900e+01
+1.404850605182203e+03 2.164802535051422e+00
+4.551715960790338e+03 -4.120801829094262e+00
+#BASIS SET: (12s) -> [1s]
+Sg s
+1.101996057600000e-02 -5.326529740100341e-01
+3.570467226624002e-02 -1.164283178692131e+00
+1.156831381426176e-01 -1.524121127260514e+00
+3.748133675820811e-01 -7.004284920276405e+00
+1.214395310965943e+00 -1.680677333487984e+01
+3.934640807529656e+00 -2.498669052222249e+01
+1.274823621639609e+01 -1.505713267475221e+01
+4.130428534112331e+01 -2.402302865991078e+01
+1.338258845052396e+02 -2.392069934780011e+00
+4.335958657969762e+02 -1.047424651443725e+01
+1.404850605182203e+03 2.179011313499359e+00
+4.551715960790338e+03 -4.213727472277697e+00
+#BASIS SET: (12s) -> [1s]
+Bh s
+1.101996057600000e-02 -4.248805971180900e-01
+3.570467226624002e-02 -1.269117640344120e+00
+1.156831381426176e-01 -1.408569823295693e+00
+3.748133675820811e-01 -7.508653212498757e+00
+1.214395310965943e+00 -1.637357244967279e+01
+3.934640807529656e+00 -2.557698784546665e+01
+1.274823621639609e+01 -1.496692615307984e+01
+4.130428534112331e+01 -2.425220745816478e+01
+1.338258845052396e+02 -2.610235796455527e+00
+4.335958657969762e+02 -1.046236436154140e+01
+1.404850605182203e+03 2.149102794617647e+00
+4.551715960790338e+03 -4.295587456980002e+00
+#BASIS SET: (12s) -> [1s]
+Hs s
+1.101996057600000e-02 -3.362756147828350e-01
+3.570467226624002e-02 -1.339817124416186e+00
+1.156831381426176e-01 -1.278594125671589e+00
+3.748133675820811e-01 -7.990510809304396e+00
+1.214395310965943e+00 -1.609170869966329e+01
+3.934640807529656e+00 -2.597600865505956e+01
+1.274823621639609e+01 -1.504626775603538e+01
+4.130428534112331e+01 -2.433888148058031e+01
+1.338258845052396e+02 -2.936934038225445e+00
+4.335958657969762e+02 -1.037757113947737e+01
+1.404850605182203e+03 2.080442271784705e+00
+4.551715960790338e+03 -4.367872828568352e+00
+#BASIS SET: (12s) -> [1s]
+Mt s
+1.101996057600000e-02 -2.620548037950812e-01
+3.570467226624002e-02 -1.387821610239371e+00
+1.156831381426176e-01 -1.139070805642405e+00
+3.748133675820811e-01 -8.424897136912477e+00
+1.214395310965943e+00 -1.597358052858181e+01
+3.934640807529656e+00 -2.619216654280171e+01
+1.274823621639609e+01 -1.527937823790126e+01
+4.130428534112331e+01 -2.429896760045085e+01
+1.338258845052396e+02 -3.358529122720938e+00
+4.335958657969762e+02 -1.022995612399973e+01
+1.404850605182203e+03 1.978978328719677e+00
+4.551715960790338e+03 -4.432555815674050e+00
+#BASIS SET: (12s) -> [1s]
+Ds s
+1.101996057600000e-02 -2.809441938331929e-01
+3.570467226624002e-02 -1.266608664957857e+00
+1.156831381426176e-01 -1.261690719813487e+00
+3.748133675820811e-01 -8.629800246733794e+00
+1.214395310965943e+00 -1.601875416991970e+01
+3.934640807529656e+00 -2.615627064156433e+01
+1.274823621639609e+01 -1.577199277106411e+01
+4.130428534112331e+01 -2.402554514615622e+01
+1.338258845052396e+02 -3.943868631220539e+00
+4.335958657969762e+02 -9.983140559583262e+00
+1.404850605182203e+03 1.826022659173759e+00
+4.551715960790338e+03 -4.487406914327266e+00
+#BASIS SET: (12s) -> [1s]
+Rg s
+1.101996057600000e-02 -2.211121510274552e-01
+3.570467226624002e-02 -1.309489126168955e+00
+1.156831381426176e-01 -1.093877900042571e+00
+3.748133675820811e-01 -8.965056291777728e+00
+1.214395310965943e+00 -1.615006218112103e+01
+3.934640807529656e+00 -2.614239732013812e+01
+1.274823621639609e+01 -1.618002956824057e+01
+4.130428534112331e+01 -2.384702319055214e+01
+1.338258845052396e+02 -4.463146929585491e+00
+4.335958657969762e+02 -9.776042977377074e+00
+1.404850605182203e+03 1.696583706674573e+00
+4.551715960790338e+03 -4.548346070643447e+00
+#BASIS SET: (11s) -> [1s]
+Cn s
+3.570467226624002e-02 -1.860774658848186e+00
+1.156831381426176e-01 -1.864809821981908e-01
+3.748133675820811e-01 -9.983270998825901e+00
+1.214395310965943e+00 -1.575685131854698e+01
+3.934640807529656e+00 -2.656444470918359e+01
+1.274823621639609e+01 -1.621960929292254e+01
+4.130428534112331e+01 -2.396651119551098e+01
+1.338258845052396e+02 -4.746294793993002e+00
+4.335958657969762e+02 -9.741345037182327e+00
+1.404850605182203e+03 1.666206935711671e+00
+4.551715960790338e+03 -4.640623948499979e+00
+#BASIS SET: (13s) -> [1s]
+Nh s
+3.401222400000001e-03 -2.852269585271188e-01
+1.101996057600000e-02 -4.682300618169393e-01
+3.570467226624002e-02 -1.691469308789237e-01
+1.156831381426176e-01 -2.361139775584888e+00
+3.748133675820811e-01 -8.144721728480363e+00
+1.214395310965943e+00 -1.710489609801880e+01
+3.934640807529656e+00 -2.573009298352554e+01
+1.274823621639609e+01 -1.727157860083389e+01
+4.130428534112331e+01 -2.326947401172947e+01
+1.338258845052396e+02 -5.658957716106670e+00
+4.335958657969762e+02 -9.264505412007566e+00
+1.404850605182203e+03 1.391058577326476e+00
+4.551715960790338e+03 -4.663088299816309e+00
+#BASIS SET: (13s) -> [1s]
+Fl s
+3.401222400000001e-03 -1.404727042951208e-01
+1.101996057600000e-02 -7.910254256744338e-01
+3.570467226624002e-02 -1.759674444747361e-01
+1.156831381426176e-01 -2.260723272298492e+00
+3.748133675820811e-01 -8.457037430707715e+00
+1.214395310965943e+00 -1.669656726998073e+01
+3.934640807529656e+00 -2.624269413138973e+01
+1.274823621639609e+01 -1.726821790047688e+01
+4.130428534112331e+01 -2.340329355298309e+01
+1.338258845052396e+02 -5.927532134170178e+00
+4.335958657969762e+02 -9.248078889882891e+00
+1.404850605182203e+03 1.376387385280395e+00
+4.551715960790338e+03 -4.764777228946400e+00
+#BASIS SET: (12s) -> [1s]
+Mc s
+1.101996057600000e-02 -1.040835557367927e+00
+3.570467226624002e-02 -1.352001964096416e-01
+1.156831381426176e-01 -2.378683568531414e+00
+3.748133675820811e-01 -8.585486922627751e+00
+1.214395310965943e+00 -1.649180072970194e+01
+3.934640807529656e+00 -2.651665369318653e+01
+1.274823621639609e+01 -1.748080153236515e+01
+4.130428534112331e+01 -2.335741389592295e+01
+1.338258845052396e+02 -6.331466639618156e+00
+4.335958657969762e+02 -9.140415006171679e+00
+1.404850605182203e+03 1.313743036742380e+00
+4.551715960790338e+03 -4.854985294839253e+00
+#BASIS SET: (12s) -> [1s]
+Lv s
+1.101996057600000e-02 -8.720738999163586e-01
+3.570467226624002e-02 -5.676552100994741e-01
+1.156831381426176e-01 -2.071939943343750e+00
+3.748133675820811e-01 -9.141255994822131e+00
+1.214395310965943e+00 -1.597463203020015e+01
+3.934640807529656e+00 -2.698712953124050e+01
+1.274823621639609e+01 -1.754808365895587e+01
+4.130428534112331e+01 -2.342415048621478e+01
+1.338258845052396e+02 -6.643657834269106e+00
+4.335958657969762e+02 -9.102501860412303e+00
+1.404850605182203e+03 1.292854795494350e+00
+4.551715960790338e+03 -4.959774346019913e+00
+#BASIS SET: (12s) -> [1s]
+Ts s
+1.101996057600000e-02 -7.264269470363161e-01
+3.570467226624002e-02 -8.804863645136720e-01
+1.156831381426176e-01 -1.884952882683137e+00
+3.748133675820811e-01 -9.644189020269550e+00
+1.214395310965943e+00 -1.555781824042788e+01
+3.934640807529656e+00 -2.732132845970773e+01
+1.274823621639609e+01 -1.773418111281353e+01
+4.130428534112331e+01 -2.339483552519232e+01
+1.338258845052396e+02 -7.024277561096824e+00
+4.335958657969762e+02 -9.021400868325145e+00
+1.404850605182203e+03 1.251227996719535e+00
+4.551715960790338e+03 -5.061331014653433e+00
+#BASIS SET: (12s) -> [1s]
+Og s
+1.101996057600000e-02 -6.025705524507430e-01
+3.570467226624002e-02 -1.107341991329122e+00
+1.156831381426176e-01 -1.756183689067257e+00
+3.748133675820811e-01 -1.013447759480550e+01
+1.214395310965943e+00 -1.521952780432912e+01
+3.934640807529656e+00 -2.754242302652710e+01
+1.274823621639609e+01 -1.801561821352516e+01
+4.130428534112331e+01 -2.329024785797810e+01
+1.338258845052396e+02 -7.456744394017733e+00
+4.335958657969762e+02 -8.908772473208955e+00
+1.404850605182203e+03 1.194957494662958e+00
+4.551715960790338e+03 -5.161049897424164e+00
diff --git a/pyscf/gto/basis/helfem_large.dat b/pyscf/gto/basis/helfem_large.dat
new file mode 100644
index 0000000000..e483be0673
--- /dev/null
+++ b/pyscf/gto/basis/helfem_large.dat
@@ -0,0 +1,2102 @@
+BASIS "ao basis" PRINT
+#BASIS SET: (4s) -> [1s]
+H s
+4.268788542106363e-02 -4.185582672035864e-01
+8.366825542528471e-02 -5.962131922279497e-01
+1.639897806335580e-01 1.524537907893517e+00
+3.214199700417737e-01 -1.509766448461981e+00
+#BASIS SET: (5s) -> [1s]
+He s
+8.366825542528471e-02 -1.355205479616188e+00
+1.639897806335580e-01 2.055414703345832e+00
+3.214199700417737e-01 -3.585641909762671e+00
+6.299831412818762e-01 3.577647758042076e+00
+1.234766956912478e+00 -2.692215072009049e+00
+#BASIS SET: (9s) -> [1s]
+Li s
+1.111200682555800e-02 -7.812202443437855e-01
+2.177953337809369e-02 7.878101197566139e-01
+4.268788542106363e-02 -1.834061208952335e+00
+8.366825542528471e-02 3.144340503349667e+00
+1.639897806335580e-01 -5.862783425312955e+00
+3.214199700417737e-01 7.556086712982506e+00
+6.299831412818762e-01 -9.186191175249405e+00
+1.234766956912478e+00 7.028106110417866e+00
+2.420143235548455e+00 -3.852087392648173e+00
+#BASIS SET: (9s) -> [1s]
+Be s
+2.177953337809369e-02 -1.684101067949086e+00
+4.268788542106363e-02 2.010666946873243e+00
+8.366825542528471e-02 -3.766492405644385e+00
+1.639897806335580e-01 5.218894453777466e+00
+3.214199700417737e-01 -8.457585407944862e+00
+6.299831412818762e-01 1.028838749043643e+01
+1.234766956912478e+00 -1.126269935470191e+01
+2.420143235548455e+00 7.400723657789058e+00
+4.743480741674971e+00 -3.747794312635961e+00
+#BASIS SET: (11s) -> [1s]
+B s
+1.111200682555800e-02 -1.000032957054088e+00
+2.177953337809369e-02 1.724570476113513e+00
+4.268788542106363e-02 -3.396693199352740e+00
+8.366825542528471e-02 3.536343834137369e+00
+1.639897806335580e-01 -5.306160429419833e+00
+3.214199700417737e-01 5.143829342290701e+00
+6.299831412818762e-01 -7.905614915624028e+00
+1.234766956912478e+00 9.050180592370452e+00
+2.420143235548455e+00 -9.910984211092000e+00
+4.743480741674971e+00 6.274732118628890e+00
+9.297222253682943e+00 -3.210170650998236e+00
+#BASIS SET: (9s) -> [1s]
+C s
+4.268788542106363e-02 -1.261992879455647e+00
+8.366825542528471e-02 1.856334428972332e+00
+1.639897806335580e-01 -3.633981649269117e+00
+3.214199700417737e-01 3.953077307669446e+00
+6.299831412818762e-01 -8.253920026065316e+00
+1.234766956912478e+00 7.178058194345795e+00
+2.420143235548455e+00 -8.611687745898962e+00
+4.743480741674971e+00 6.945998759241775e+00
+9.297222253682943e+00 -4.171886389540305e+00
+#BASIS SET: (9s) -> [1s]
+N s
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+#BASIS SET: (11s) -> [1s]
+O s
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
+Mg s
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (13s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (15s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (16s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (14s) -> [1s]
+Ni s
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+#BASIS SET: (14s) -> [1s]
+Cu s
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+#BASIS SET: (14s) -> [1s]
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+#BASIS SET: (15s) -> [1s]
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+#BASIS SET: (21s) -> [1s]
+Ho s
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+#BASIS SET: (19s) -> [1s]
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+#BASIS SET: (17s) -> [1s]
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+#BASIS SET: (17s) -> [1s]
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+#BASIS SET: (17s) -> [1s]
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+#BASIS SET: (16s) -> [1s]
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+#BASIS SET: (16s) -> [1s]
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+#BASIS SET: (17s) -> [1s]
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+#BASIS SET: (17s) -> [1s]
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+#BASIS SET: (18s) -> [1s]
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+#BASIS SET: (16s) -> [1s]
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+#BASIS SET: (16s) -> [1s]
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+1.372073885318493e+02 1.642775212973356e+01
+2.689264815224247e+02 -3.469646213203669e+01
+5.270959037839524e+02 2.526409793831408e+01
+1.033107971416546e+03 -1.548278055182891e+01
+#BASIS SET: (18s) -> [1s]
+Lv s
+1.111200682555800e-02 -9.318931638278798e-01
+2.177953337809369e-02 5.207830175164645e-01
+4.268788542106363e-02 -2.367354397235886e+00
+8.366825542528471e-02 1.371776267587848e+00
+1.639897806335580e-01 -5.066408341424903e+00
+3.214199700417737e-01 -1.842410333112639e+00
+6.299831412818762e-01 -7.916420451118029e+00
+1.234766956912478e+00 -1.213566579081089e+01
+2.420143235548455e+00 -6.306347028585151e+00
+4.743480741674971e+00 -2.358655345597072e+01
+9.297222253682943e+00 -9.851472971582552e+00
+1.822255561721856e+01 -4.863588897918817e+00
+3.571620900974838e+01 -1.937441822153050e+01
+7.000376965910681e+01 -1.477910132508259e+01
+1.372073885318493e+02 1.622196791728493e+01
+2.689264815224247e+02 -3.492878696892876e+01
+5.270959037839524e+02 2.551595815730980e+01
+1.033107971416546e+03 -1.568006401256972e+01
+#BASIS SET: (17s) -> [1s]
+Ts s
+2.177953337809369e-02 -2.112764893099666e+00
+4.268788542106363e-02 1.670027275569737e+00
+8.366825542528471e-02 -3.775026024319232e+00
+1.639897806335580e-01 4.969745390117168e-01
+3.214199700417737e-01 -8.054860129952431e+00
+6.299831412818762e-01 -2.025159336626530e+00
+1.234766956912478e+00 -1.729834204912186e+01
+2.420143235548455e+00 -1.692559435963631e+00
+4.743480741674971e+00 -2.732995729148388e+01
+9.297222253682943e+00 -7.386572480201721e+00
+1.822255561721856e+01 -7.504521444439888e+00
+3.571620900974838e+01 -1.608018721640110e+01
+7.000376965910681e+01 -1.862356871366501e+01
+1.372073885318493e+02 1.926550386846066e+01
+2.689264815224247e+02 -3.708027223497629e+01
+5.270959037839524e+02 2.659029909782112e+01
+1.033107971416546e+03 -1.605901353061199e+01
+#BASIS SET: (17s) -> [1s]
+Og s
+2.177953337809369e-02 -1.294760107470211e+00
+4.268788542106363e-02 -3.777095396071672e-01
+8.366825542528471e-02 -1.156230752356350e+00
+1.639897806335580e-01 -2.062383782118559e+00
+3.214199700417737e-01 -6.740785725414753e+00
+6.299831412818762e-01 -3.014338135719299e+00
+1.234766956912478e+00 -1.635621488094330e+01
+2.420143235548455e+00 -2.396625004708767e+00
+4.743480741674971e+00 -2.642468926310539e+01
+9.297222253682943e+00 -8.888857021927834e+00
+1.822255561721856e+01 -6.852011650800705e+00
+3.571620900974838e+01 -1.548754817247391e+01
+7.000376965910681e+01 -2.030353319644928e+01
+1.372073885318493e+02 2.072343978285789e+01
+2.689264815224247e+02 -3.826823274046183e+01
+5.270959037839524e+02 2.724661428481340e+01
+1.033107971416546e+03 -1.634613409411395e+01
diff --git a/pyscf/gto/basis/helfem_small.dat b/pyscf/gto/basis/helfem_small.dat
new file mode 100644
index 0000000000..6c870a631f
--- /dev/null
+++ b/pyscf/gto/basis/helfem_small.dat
@@ -0,0 +1,1413 @@
+BASIS "ao basis" PRINT
+#BASIS SET: (3s) -> [1s]
+H s
+3.570467226624002e-02 -4.997072916195289e-01
+1.156831381426176e-01 3.129881482718586e-01
+3.748133675820811e-01 -8.132808566523297e-01
+#BASIS SET: (3s) -> [1s]
+He s
+1.156831381426176e-01 -1.301743054355085e+00
+3.748133675820811e-01 9.778538151106044e-01
+1.214395310965943e+00 -1.676110760755519e+00
+#BASIS SET: (6s) -> [1s]
+Li s
+1.101996057600000e-02 -5.982212337930557e-01
+3.570467226624002e-02 -3.083263394988833e-02
+1.156831381426176e-01 -4.081664719827671e-01
+3.748133675820811e-01 -7.479408512645733e-01
+1.214395310965943e+00 -5.564764866879557e-02
+3.934640807529656e+00 -1.159191160340920e+00
+#BASIS SET: (6s) -> [1s]
+Be s
+1.101996057600000e-02 -3.735364484237680e-01
+3.570467226624002e-02 -9.551307250202186e-01
+1.156831381426176e-01 9.432158383648925e-02
+3.748133675820811e-01 -1.194300489236326e+00
+1.214395310965943e+00 2.751389569990579e-01
+3.934640807529656e+00 -1.846492878155234e+00
+#BASIS SET: (7s) -> [1s]
+B s
+1.101996057600000e-02 -5.777514136343527e-01
+3.570467226624002e-02 -1.248703573933483e-01
+1.156831381426176e-01 -1.285797341186708e+00
+3.748133675820811e-01 -6.448367993673401e-01
+1.214395310965943e+00 -8.703236862687618e-01
+3.934640807529656e+00 -4.961676086936109e-01
+1.274823621639609e+01 -1.000252793455878e+00
+#BASIS SET: (6s) -> [1s]
+C s
+3.570467226624002e-02 -6.540361310970759e-01
+1.156831381426176e-01 -1.770418814658399e-01
+3.748133675820811e-01 -2.065938886619904e+00
+1.214395310965943e+00 -1.962101535276133e+00
+3.934640807529656e+00 5.223264214257028e-01
+1.274823621639609e+01 -1.663207986966750e+00
+#BASIS SET: (6s) -> [1s]
+N s
+3.570467226624002e-02 -6.487503253828031e-01
+1.156831381426176e-01 -6.862392764968348e-01
+3.748133675820811e-01 -1.291348145755762e+00
+1.214395310965943e+00 -2.871260957010747e+00
+3.934640807529656e+00 5.743512327850908e-01
+1.274823621639609e+01 -2.076752528138943e+00
+#BASIS SET: (7s) -> [1s]
+O s
+1.101996057600000e-02 -2.824456213409761e-01
+3.570467226624002e-02 -2.113502974463302e-01
+1.156831381426176e-01 -8.941112950246861e-01
+3.748133675820811e-01 -1.001582756802463e+00
+1.214395310965943e+00 -3.892512317082947e+00
+3.934640807529656e+00 8.315504596608889e-01
+1.274823621639609e+01 -2.549548171963487e+00
+#BASIS SET: (6s) -> [1s]
+F s
+3.570467226624002e-02 -5.109770636984390e-01
+1.156831381426176e-01 -7.867604594082991e-01
+3.748133675820811e-01 -6.232507957702751e-01
+1.214395310965943e+00 -4.911645732023999e+00
+3.934640807529656e+00 7.872401367002340e-01
+1.274823621639609e+01 -2.954606085799222e+00
+#BASIS SET: (6s) -> [1s]
+Ne s
+1.156831381426176e-01 -1.812689749658340e+00
+3.748133675820811e-01 5.956692210929191e-01
+1.214395310965943e+00 -5.308530166222965e+00
+3.934640807529656e+00 -1.516664890683728e+00
+1.274823621639609e+01 -5.999224255000399e-01
+4.130428534112331e+01 -1.357861989027846e+00
+#BASIS SET: (8s) -> [1s]
+Na s
+1.101996057600000e-02 -7.139520193200184e-01
+3.570467226624002e-02 1.280798386707431e-01
+1.156831381426176e-01 -9.290901075582951e-01
+3.748133675820811e-01 -1.129846398931932e+00
+1.214395310965943e+00 -2.849203742742247e+00
+3.934640807529656e+00 -3.961576865047618e+00
+1.274823621639609e+01 3.209968133327266e-01
+4.130428534112331e+01 -1.865407518403359e+00
+#BASIS SET: (8s) -> [1s]
+Mg s
+1.101996057600000e-02 -6.780748257068865e-01
+3.570467226624002e-02 -7.811796167775640e-01
+1.156831381426176e-01 4.488210759302547e-02
+3.748133675820811e-01 -1.833904645934126e+00
+1.214395310965943e+00 -2.398938147402987e+00
+3.934640807529656e+00 -4.322115459564429e+00
+1.274823621639609e+01 -5.460705217728901e-03
+4.130428534112331e+01 -2.025208706989304e+00
+#BASIS SET: (9s) -> [1s]
+Al s
+3.401222400000001e-03 -1.888407639206093e-01
+1.101996057600000e-02 -4.097757837600966e-01
+3.570467226624002e-02 -7.460467433138547e-01
+1.156831381426176e-01 -1.124958396216243e+00
+3.748133675820811e-01 -9.654591876915219e-01
+1.214395310965943e+00 -2.653478370801167e+00
+3.934640807529656e+00 -4.262623586227164e+00
+1.274823621639609e+01 -4.643522720270994e-01
+4.130428534112331e+01 -2.184464896042243e+00
+#BASIS SET: (8s) -> [1s]
+Si s
+1.101996057600000e-02 -2.051786311924957e-01
+3.570467226624002e-02 -7.012752749042761e-01
+1.156831381426176e-01 -1.081642288543549e+00
+3.748133675820811e-01 -3.478760824379151e+00
+1.214395310965943e+00 -4.319016740078041e-02
+3.934640807529656e+00 -5.785008441221635e+00
+1.274823621639609e+01 -9.683854385798440e-02
+4.130428534112331e+01 -2.608105828500129e+00
+#BASIS SET: (7s) -> [1s]
+P s
+3.570467226624002e-02 -1.511868193313006e+00
+1.156831381426176e-01 -3.391402682163402e-01
+3.748133675820811e-01 -3.789950971813255e+00
+1.214395310965943e+00 -5.005862844723197e-01
+3.934640807529656e+00 -5.612610130421217e+00
+1.274823621639609e+01 -3.403447350224269e-01
+4.130428534112331e+01 -2.905499416741435e+00
+#BASIS SET: (8s) -> [1s]
+S s
+1.101996057600000e-02 -3.740165155402622e-01
+3.570467226624002e-02 -6.975346150109090e-01
+1.156831381426176e-01 -9.787485793920041e-01
+3.748133675820811e-01 -3.843443233618473e+00
+1.214395310965943e+00 -1.045205902853922e+00
+3.934640807529656e+00 -5.115832985106408e+00
+1.274823621639609e+01 -7.946575438736545e-01
+4.130428534112331e+01 -3.150560624604367e+00
+#BASIS SET: (7s) -> [1s]
+Cl s
+3.570467226624002e-02 -1.370096374960767e+00
+1.156831381426176e-01 -1.056632987637158e-01
+3.748133675820811e-01 -4.924112401316734e+00
+1.214395310965943e+00 -1.151690073634200e+00
+3.934640807529656e+00 -4.992738173971702e+00
+1.274823621639609e+01 -9.540545040606503e-01
+4.130428534112331e+01 -3.501645173292232e+00
+#BASIS SET: (7s) -> [1s]
+Ar s
+3.570467226624002e-02 -1.009501790660877e+00
+1.156831381426176e-01 -5.532037297880379e-01
+3.748133675820811e-01 -4.432107553572337e+00
+1.214395310965943e+00 -2.790816372103563e+00
+3.934640807529656e+00 -3.920605549632455e+00
+1.274823621639609e+01 -1.554863273170668e+00
+4.130428534112331e+01 -3.738901731072062e+00
+#BASIS SET: (9s) -> [1s]
+K s
+1.101996057600000e-02 -1.082038332169873e+00
+3.570467226624002e-02 5.251267825983632e-01
+1.156831381426176e-01 -2.106584500362260e+00
+3.748133675820811e-01 -2.761050112170778e+00
+1.214395310965943e+00 -4.836744533024103e+00
+3.934640807529656e+00 -1.656062043211932e+00
+1.274823621639609e+01 -5.024572376300057e+00
+4.130428534112331e+01 -2.470099377314909e-01
+1.338258845052396e+02 -1.811064947627870e+00
+#BASIS SET: (9s) -> [1s]
+Ca s
+1.101996057600000e-02 -1.313097757945798e+00
+3.570467226624002e-02 -1.030487253046886e-03
+1.156831381426176e-01 -8.955968412656148e-01
+3.748133675820811e-01 -4.158894284386406e+00
+1.214395310965943e+00 -3.911352107472339e+00
+3.934640807529656e+00 -2.637925402834298e+00
+1.274823621639609e+01 -4.455950981326168e+00
+4.130428534112331e+01 -7.811924394227390e-01
+1.338258845052396e+02 -1.844959698093589e+00
+#BASIS SET: (10s) -> [1s]
+Sc s
+3.401222400000001e-03 -2.656622825507209e-01
+1.101996057600000e-02 -5.894311635978635e-01
+3.570467226624002e-02 -1.155276621680734e+00
+1.156831381426176e-01 -7.360477848463347e-01
+3.748133675820811e-01 -3.668514067249134e+00
+1.214395310965943e+00 -4.615150650126623e+00
+3.934640807529656e+00 -2.350987992557634e+00
+1.274823621639609e+01 -4.789023430896805e+00
+4.130428534112331e+01 -7.843921988765032e-01
+1.338258845052396e+02 -2.045513807617649e+00
+#BASIS SET: (9s) -> [1s]
+Ti s
+1.101996057600000e-02 -6.207170591409295e-01
+3.570467226624002e-02 -1.454044835149944e-01
+1.156831381426176e-01 -1.949596227424991e+00
+3.748133675820811e-01 -2.773769552281010e+00
+1.214395310965943e+00 -6.529201507231846e+00
+3.934640807529656e+00 -1.932411427733314e+00
+1.274823621639609e+01 -4.957475472016085e+00
+4.130428534112331e+01 -8.824082188002649e-01
+1.338258845052396e+02 -2.209016051856565e+00
+#BASIS SET: (9s) -> [1s]
+V s
+1.101996057600000e-02 -3.905349077323308e-01
+3.570467226624002e-02 -1.963519174132671e-01
+1.156831381426176e-01 -1.349156591709288e+00
+3.748133675820811e-01 -3.005651810190102e+00
+1.214395310965943e+00 -7.673127458234376e+00
+3.934640807529656e+00 -2.107721506508824e+00
+1.274823621639609e+01 -4.831195551054407e+00
+4.130428534112331e+01 -1.100567517774834e+00
+1.338258845052396e+02 -2.345692739382571e+00
+#BASIS SET: (9s) -> [1s]
+Cr s
+1.101996057600000e-02 -5.022865793987421e-01
+3.570467226624002e-02 -1.284198926118734e-01
+1.156831381426176e-01 -1.480653276847988e+00
+3.748133675820811e-01 -2.715735652724106e+00
+1.214395310965943e+00 -7.805037477406586e+00
+3.934640807529656e+00 -3.154132246774680e+00
+1.274823621639609e+01 -4.254228393849189e+00
+4.130428534112331e+01 -1.525511797235595e+00
+1.338258845052396e+02 -2.433994683151241e+00
+#BASIS SET: (9s) -> [1s]
+Mn s
+1.101996057600000e-02 -7.537338961155911e-01
+3.570467226624002e-02 -6.492776131954088e-01
+1.156831381426176e-01 -4.379790988277819e-01
+3.748133675820811e-01 -3.131708240623993e+00
+1.214395310965943e+00 -7.642406932400263e+00
+3.934640807529656e+00 -4.097420925958431e+00
+1.274823621639609e+01 -3.944390175758599e+00
+4.130428534112331e+01 -1.755419915261882e+00
+1.338258845052396e+02 -2.587663201858049e+00
+#BASIS SET: (10s) -> [1s]
+Fe s
+3.401222400000001e-03 -1.709688398789506e-01
+1.101996057600000e-02 -5.554575621758246e-01
+3.570467226624002e-02 -7.254127566541655e-01
+1.156831381426176e-01 -1.245837086393792e+00
+3.748133675820811e-01 -2.189970366028433e+00
+1.214395310965943e+00 -7.829466318849427e+00
+3.934640807529656e+00 -4.755999029635859e+00
+1.274823621639609e+01 -3.920585677984946e+00
+4.130428534112331e+01 -1.806947866876499e+00
+1.338258845052396e+02 -2.799354495522103e+00
+#BASIS SET: (9s) -> [1s]
+Co s
+1.101996057600000e-02 -5.983671971489457e-01
+3.570467226624002e-02 -7.499246400293487e-01
+1.156831381426176e-01 -6.351561512974513e-01
+3.748133675820811e-01 -2.691741032256687e+00
+1.214395310965943e+00 -7.772489473707537e+00
+3.934640807529656e+00 -6.187608486776298e+00
+1.274823621639609e+01 -3.236619562947453e+00
+4.130428534112331e+01 -2.238782364071085e+00
+1.338258845052396e+02 -2.889311091765194e+00
+#BASIS SET: (9s) -> [1s]
+Ni s
+1.101996057600000e-02 -2.725037086033808e-01
+3.570467226624002e-02 -6.055088794237236e-01
+1.156831381426176e-01 -5.181807597746229e-01
+3.748133675820811e-01 -2.086354915500124e+00
+1.214395310965943e+00 -9.043478541529112e+00
+3.934640807529656e+00 -7.008800435924059e+00
+1.274823621639609e+01 -3.004225645403494e+00
+4.130428534112331e+01 -2.405951975371863e+00
+1.338258845052396e+02 -3.054995138469621e+00
+#BASIS SET: (9s) -> [1s]
+Cu s
+1.101996057600000e-02 -4.136117341749923e-01
+3.570467226624002e-02 -4.924771621567743e-01
+1.156831381426176e-01 -8.419288228387813e-01
+3.748133675820811e-01 -1.860067502451784e+00
+1.214395310965943e+00 -8.360836645635572e+00
+3.934640807529656e+00 -8.516447819980385e+00
+1.274823621639609e+01 -2.731623590869276e+00
+4.130428534112331e+01 -2.537165421508689e+00
+1.338258845052396e+02 -3.245841300383745e+00
+#BASIS SET: (9s) -> [1s]
+Zn s
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+1.156831381426176e-01 -2.461922050970315e-01
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+1.338258845052396e+02 -3.481358495346285e+00
+#BASIS SET: (10s) -> [1s]
+Ga s
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+3.570467226624002e-02 -6.686853136095081e-01
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+1.338258845052396e+02 -3.837281908783318e+00
+#BASIS SET: (9s) -> [1s]
+Ge s
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+1.156831381426176e-01 -1.367456334255621e+00
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+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+1.338258845052396e+02 -4.847849133057480e+00
+#BASIS SET: (8s) -> [1s]
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+#BASIS SET: (8s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+1.338258845052396e+02 -5.943529885876082e+00
+#BASIS SET: (9s) -> [1s]
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+1.156831381426176e-01 -2.111492696070854e+00
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+1.338258845052396e+02 -6.173731713367260e+00
+#BASIS SET: (10s) -> [1s]
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+1.338258845052396e+02 -6.440904387975955e+00
+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (9s) -> [1s]
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+1.338258845052396e+02 -7.150750269610853e+00
+#BASIS SET: (9s) -> [1s]
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+1.338258845052396e+02 -7.398421823176022e+00
+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+4.335958657969762e+02 -2.719917172510272e+00
+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+4.335958657969762e+02 -3.159071569497229e+00
+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+4.335958657969762e+02 -3.657770703527227e+00
+#BASIS SET: (10s) -> [1s]
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+4.335958657969762e+02 -3.963254426190737e+00
+#BASIS SET: (10s) -> [1s]
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+4.335958657969762e+02 -4.145512367420586e+00
+#BASIS SET: (10s) -> [1s]
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+4.335958657969762e+02 -4.323408806352276e+00
+#BASIS SET: (10s) -> [1s]
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+4.335958657969762e+02 -4.519531022739812e+00
+#BASIS SET: (9s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+4.335958657969762e+02 -4.745391398443623e+00
+#BASIS SET: (11s) -> [1s]
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+4.335958657969762e+02 -4.938556355688945e+00
+#BASIS SET: (11s) -> [1s]
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+4.335958657969762e+02 -5.100575510183326e+00
+#BASIS SET: (10s) -> [1s]
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+4.335958657969762e+02 -5.131503699652598e+00
+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+4.335958657969762e+02 -5.391042353650477e+00
+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (10s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (12s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+#BASIS SET: (11s) -> [1s]
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+3.748133675820811e-01 -9.673484048706086e+00
+1.214395310965943e+00 -1.617216228456891e+01
+3.934640807529656e+00 -2.594975859917758e+01
+1.274823621639609e+01 -1.706204003081984e+01
+4.130428534112331e+01 -2.217605704904054e+01
+1.338258845052396e+02 -7.275577141583199e+00
+4.335958657969762e+02 -3.909313486918109e+00
+1.404850605182203e+03 -4.611228853902219e+00
+#BASIS SET: (10s) -> [1s]
+Ds s
+3.570467226624002e-02 -1.759346684968509e+00
+1.156831381426176e-01 1.921279512435348e-01
+3.748133675820811e-01 -1.064278890327668e+01
+1.214395310965943e+00 -1.602500609530966e+01
+3.934640807529656e+00 -2.608386155297444e+01
+1.274823621639609e+01 -1.737581113282931e+01
+4.130428534112331e+01 -2.208791991790986e+01
+1.338258845052396e+02 -7.737554881983669e+00
+4.335958657969762e+02 -3.727229519969114e+00
+1.404850605182203e+03 -4.752609262022290e+00
+#BASIS SET: (11s) -> [1s]
+Rg s
+1.101996057600000e-02 -5.930773108522516e-01
+3.570467226624002e-02 -6.536824041961040e-01
+1.156831381426176e-01 -1.324147312942216e+00
+3.748133675820811e-01 -9.129720042140889e+00
+1.214395310965943e+00 -1.725240577279601e+01
+3.934640807529656e+00 -2.535261040857677e+01
+1.274823621639609e+01 -1.834452055824659e+01
+4.130428534112331e+01 -2.149366407397611e+01
+1.338258845052396e+02 -8.556304709243705e+00
+4.335958657969762e+02 -3.346943999960786e+00
+1.404850605182203e+03 -4.952923407068582e+00
+#BASIS SET: (11s) -> [1s]
+Cn s
+1.101996057600000e-02 -8.488393951519200e-01
+3.570467226624002e-02 -6.235376551353795e-01
+1.156831381426176e-01 -1.061792794012263e+00
+3.748133675820811e-01 -9.697229248933581e+00
+1.214395310965943e+00 -1.661735556627946e+01
+3.934640807529656e+00 -2.608731612675092e+01
+1.274823621639609e+01 -1.817021107398978e+01
+4.130428534112331e+01 -2.177148402674356e+01
+1.338258845052396e+02 -8.757119528105250e+00
+4.335958657969762e+02 -3.314606521325913e+00
+1.404850605182203e+03 -5.050508063571982e+00
+#BASIS SET: (12s) -> [1s]
+Nh s
+3.401222400000001e-03 -2.270166811588439e-01
+1.101996057600000e-02 -5.448012642200979e-01
+3.570467226624002e-02 -1.037955510751203e+00
+1.156831381426176e-01 -1.332958784502125e+00
+3.748133675820811e-01 -9.031529912201222e+00
+1.214395310965943e+00 -1.704807207589147e+01
+3.934640807529656e+00 -2.596419346648509e+01
+1.274823621639609e+01 -1.867691533381003e+01
+4.130428534112331e+01 -2.152217850003581e+01
+1.338258845052396e+02 -9.328341309119423e+00
+4.335958657969762e+02 -3.077032831752149e+00
+1.404850605182203e+03 -5.209004330072545e+00
+#BASIS SET: (11s) -> [1s]
+Fl s
+1.101996057600000e-02 -4.282783777144630e-01
+3.570467226624002e-02 -1.073987975288503e+00
+1.156831381426176e-01 -2.897512872875154e+00
+3.748133675820811e-01 -7.585464587306433e+00
+1.214395310965943e+00 -1.758498812545577e+01
+3.934640807529656e+00 -2.592288622055457e+01
+1.274823621639609e+01 -1.907635702469088e+01
+4.130428534112331e+01 -2.136462941133505e+01
+1.338258845052396e+02 -9.828957184130559e+00
+4.335958657969762e+02 -2.881802308736951e+00
+1.404850605182203e+03 -5.355135911911674e+00
+#BASIS SET: (11s) -> [1s]
+Mc s
+1.101996057600000e-02 -4.611121225579780e-01
+3.570467226624002e-02 -1.565616723752754e+00
+1.156831381426176e-01 -1.802261562872502e+00
+3.748133675820811e-01 -9.111413702160917e+00
+1.214395310965943e+00 -1.640982594882962e+01
+3.934640807529656e+00 -2.679285902569791e+01
+1.274823621639609e+01 -1.889402120932755e+01
+4.130428534112331e+01 -2.161697489708604e+01
+1.338258845052396e+02 -1.004534583667555e+01
+4.335958657969762e+02 -2.846201251857565e+00
+1.404850605182203e+03 -5.454367719181619e+00
+#BASIS SET: (11s) -> [1s]
+Lv s
+1.101996057600000e-02 -7.786498218827269e-01
+3.570467226624002e-02 -9.803142396565363e-01
+1.156831381426176e-01 -2.603639927377571e+00
+3.748133675820811e-01 -8.816503868031305e+00
+1.214395310965943e+00 -1.644421890150852e+01
+3.934640807529656e+00 -2.680742861819999e+01
+1.274823621639609e+01 -1.935165221714487e+01
+4.130428534112331e+01 -2.138633722085797e+01
+1.338258845052396e+02 -1.059711474907090e+01
+4.335958657969762e+02 -2.625712105706043e+00
+1.404850605182203e+03 -5.608428330563569e+00
+#BASIS SET: (11s) -> [1s]
+Ts s
+1.101996057600000e-02 -4.850186543275612e-01
+3.570467226624002e-02 -1.556690451085473e+00
+1.156831381426176e-01 -2.262603919297135e+00
+3.748133675820811e-01 -9.581719571661097e+00
+1.214395310965943e+00 -1.569415350016425e+01
+3.934640807529656e+00 -2.738202716063915e+01
+1.274823621639609e+01 -1.937593567776457e+01
+4.130428534112331e+01 -2.148824600953958e+01
+1.338258845052396e+02 -1.090969405722717e+01
+4.335958657969762e+02 -2.541593878078857e+00
+1.404850605182203e+03 -5.722317120215152e+00
+#BASIS SET: (11s) -> [1s]
+Og s
+1.101996057600000e-02 -3.001251117118429e-01
+3.570467226624002e-02 -1.756726153222672e+00
+1.156831381426176e-01 -2.280217579260352e+00
+3.748133675820811e-01 -1.017002193887083e+01
+1.214395310965943e+00 -1.515384941699040e+01
+3.934640807529656e+00 -2.772706147183999e+01
+1.274823621639609e+01 -1.959083594921321e+01
+4.130428534112331e+01 -2.144252415005030e+01
+1.338258845052396e+02 -1.132269027725124e+01
+4.335958657969762e+02 -2.403623679816519e+00
+1.404850605182203e+03 -5.852324271772630e+00
diff --git a/pyscf/scf/dhf.py b/pyscf/scf/dhf.py
index 011b5bd0de..2b6ea2af72 100644
--- a/pyscf/scf/dhf.py
+++ b/pyscf/scf/dhf.py
@@ -149,6 +149,11 @@ def init_guess_by_1e(mol):
'''Initial guess from one electron system.'''
return UHF(mol).init_guess_by_1e(mol)
+def init_guess_by_sapfit(mol):
+ '''Initial guess from superposition of fitted atomic potentials.'''
+ dm = hf.init_guess_by_sapfit(mol)
+ return _proj_dmll(mol, dm, mol)
+
def init_guess_by_atom(mol):
'''Initial guess from atom calculation.'''
dm = hf.init_guess_by_atom(mol)
@@ -419,6 +424,11 @@ def init_guess_by_atom(self, mol=None):
if mol is None: mol = self.mol
return init_guess_by_atom(mol)
+ def init_guess_by_sapfit(self, mol=None):
+ if mol is None: mol = self.mol
+ logger.info(self, 'Initial guess from fitted SAP guess (arXiv:2002.02587, doi:10.1021/acs.jctc.8b01089).')
+ return init_guess_by_sapfit(mol)
+
@lib.with_doc(hf.SCF.init_guess_by_huckel.__doc__)
def init_guess_by_huckel(self, mol=None):
if mol is None: mol = self.mol
diff --git a/pyscf/scf/hf.py b/pyscf/scf/hf.py
index bdd83e2518..159f586b2d 100644
--- a/pyscf/scf/hf.py
+++ b/pyscf/scf/hf.py
@@ -33,6 +33,7 @@
from pyscf.scf import diis
from pyscf.scf import _vhf
from pyscf.scf import chkfile
+from pyscf.scf.sapfit import sapfit_guess
from pyscf.data import nist, elements
from pyscf import __config__
@@ -593,13 +594,21 @@ def init_guess_by_chkfile(mol, chkfile_name, project=None):
dm = uhf.init_guess_by_chkfile(mol, chkfile_name, project)
return dm[0] + dm[1]
+def init_guess_by_sapfit(mol):
+ '''Generate initial guess density matrix from superposition of atomic potentials
+
+ Returns:
+ Density matrix, 2D ndarray
+ '''
+ mf = RHF(mol)
+ return mf.init_guess_by_sapfit(mol)
def get_init_guess(mol, key='minao'):
'''Generate density matrix for initial guess
Kwargs:
key : str
- One of 'minao', 'atom', 'huckel', 'hcore', '1e', 'chkfile'.
+ One of 'minao', 'atom', 'huckel', 'hcore', '1e', 'sapfit', 'chkfile'.
'''
return RHF(mol).get_init_guess(mol, key)
@@ -1550,6 +1559,18 @@ def init_guess_by_1e(self, mol=None):
mo_occ = self.get_occ(mo_energy, mo_coeff)
return self.make_rdm1(mo_coeff, mo_occ)
+ @lib.with_doc(init_guess_by_sapfit.__doc__)
+ def init_guess_by_sapfit(self, mol=None):
+ if mol is None: mol = self.mol
+ logger.info(self, 'Initial guess from fitted SAP guess (arXiv:2002.02587, doi:10.1021/acs.jctc.8b01089).')
+
+ t = mol.intor_symmetric('int1e_kin')
+ vsap = sapfit_guess(mol)
+ s1e = self.get_ovlp(mol)
+ mo_energy, mo_coeff = self.eig(t + vsap, s1e)
+ mo_occ = self.get_occ(mo_energy, mo_coeff)
+ return self.make_rdm1(mo_coeff, mo_occ)
+
@lib.with_doc(init_guess_by_chkfile.__doc__)
def init_guess_by_chkfile(self, chkfile=None, project=None):
if isinstance(chkfile, gto.Mole):
@@ -1575,6 +1596,8 @@ def get_init_guess(self, mol=None, key='minao'):
dm = self.init_guess_by_1e(mol)
elif key == 'atom':
dm = self.init_guess_by_atom(mol)
+ elif key == 'sapfit':
+ dm = self.init_guess_by_sapfit(mol)
elif key[:3] == 'chk':
try:
dm = self.init_guess_by_chkfile()
diff --git a/pyscf/scf/rohf.py b/pyscf/scf/rohf.py
index c060efd8d9..8b264730a8 100644
--- a/pyscf/scf/rohf.py
+++ b/pyscf/scf/rohf.py
@@ -43,6 +43,7 @@ def init_guess_by_atom(mol):
return numpy.array((dm*.5, dm*.5))
init_guess_by_huckel = uhf.init_guess_by_huckel
+init_guess_by_sapfit = uhf.init_guess_by_sapfit
init_guess_by_chkfile = uhf.init_guess_by_chkfile
def get_fock(mf, h1e=None, s1e=None, vhf=None, dm=None, cycle=-1, diis=None,
@@ -355,6 +356,11 @@ def init_guess_by_atom(self, mol=None):
logger.info(self, 'Initial guess from the superpostion of atomic densties.')
return init_guess_by_atom(mol)
+ def init_guess_by_sapfit(self, mol=None):
+ if mol is None: mol = self.mol
+ logger.info(self, 'Initial guess from fitted SAP guess (arXiv:2002.02587, doi:10.1021/acs.jctc.8b01089).')
+ return init_guess_by_sapfit(mol)
+
def init_guess_by_huckel(self, mol=None):
if mol is None: mol = self.mol
logger.info(self, 'Initial guess from on-the-fly Huckel, doi:10.1021/acs.jctc.8b01089.')
diff --git a/pyscf/scf/sapfit.py b/pyscf/scf/sapfit.py
new file mode 100644
index 0000000000..48289b24f3
--- /dev/null
+++ b/pyscf/scf/sapfit.py
@@ -0,0 +1,115 @@
+# Copyright (c) 2020, Susi Lehtola
+# All rights reserved.
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions are met:
+# * Redistributions of source code must retain the above copyright
+# notice, this list of conditions and the following disclaimer.
+# * Redistributions in binary form must reproduce the above copyright
+# notice, this list of conditions and the following disclaimer in the
+# documentation and/or other materials provided with the distribution.
+# * Neither the name of the nor the
+# names of its contributors may be used to endorse or promote products
+# derived from this software without specific prior written permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+# COPYRIGHT HOLDER BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF
+# USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+# ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+# OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
+# OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+# SUCH DAMAGE.
+#
+# Routines for the implementation of the fitted superposition of
+# atomic potentials guess for electronic structure calculations, see
+#
+# S. Lehtola, L. Visscher, E. Engel, Efficient implementation of the
+# superposition of atomic potentials initial guess for electronic
+# structure calculations in Gaussian basis sets, J. Chem. Phys., in
+# press (2020).
+#
+# and the original paper discussing the superposition of atomic
+# potentials
+#
+# S. Lehtola, "Assessment of Initial Guesses for Self-Consistent Field
+# Calculations. Superposition of Atomic Potentials: Simple yet
+# Efficient", J. Chem. Theory Comput. 15, 1593 (2019).
+# DOI: 10.1021/acs.jctc.8b01089
+#
+# The guess is based on the screened charges of neutral atoms, given
+# by exchange-only LDA on top of spherically symmetric unrestricted
+# Hartree-Fock calculations. The potentials have been calculated for
+# the ground-states of spherically symmetric atoms at the
+# non-relativistic level of theory as described in
+#
+# S. Lehtola, "Fully numerical calculations on atoms with fractional
+# occupations and range-separated exchange functionals", Phys. Rev. A
+# 101, 012516 (2020). DOI: 10.1103/PhysRevA.101.012516
+#
+# using accurate finite-element calculations as described in
+#
+# S. Lehtola, "Fully numerical Hartree-Fock and density functional
+# calculations. I. Atoms", Int. J. Quantum Chem. e25945 (2019).
+# DOI: 10.1002/qua.25945
+
+import numpy
+from pyscf.df.addons import make_auxmol
+from pyscf.df.incore import aux_e2
+
+def sapfit_guess(mol):
+ '''Routines for the implementation of the fitted superposition of
+ atomic potentials guess for electronic structure calculations, see
+
+ S. Lehtola, L. Visscher, E. Engel, Efficient implementation of the
+ superposition of atomic potentials initial guess for electronic
+ structure calculations in Gaussian basis sets, J. Chem. Phys., in
+ press (2020).
+
+ and the original paper discussing the superposition of atomic
+ potentials
+
+ S. Lehtola, "Assessment of Initial Guesses for Self-Consistent Field
+ Calculations. Superposition of Atomic Potentials: Simple yet
+ Efficient", J. Chem. Theory Comput. 15, 1593 (2019).
+ DOI: 10.1021/acs.jctc.8b01089
+
+ The default guess is based on the screened charges of neutral
+ atoms, given by exchange-only LDA on top of spherically symmetric
+ unrestricted Hartree-Fock calculations. The potentials have been
+ calculated for the ground-states of spherically symmetric atoms at
+ the non-relativistic level of theory as described in
+
+ S. Lehtola, "Fully numerical calculations on atoms with fractional
+ occupations and range-separated exchange functionals", Phys. Rev. A
+ 101, 012516 (2020). DOI: 10.1103/PhysRevA.101.012516
+
+ using accurate finite-element calculations as described in
+
+ S. Lehtola, "Fully numerical Hartree-Fock and density functional
+ calculations. I. Atoms", Int. J. Quantum Chem. e25945 (2019).
+ DOI: 10.1002/qua.25945
+
+ Input:
+ mol: molecule
+ Output:
+ Vsap: estimated Coulomb + exchange
+ '''
+
+ # Auxiliary basis
+ pmol = make_auxmol(mol, auxbasis='helfemlarge')
+
+ # TBD: skip ghost atoms
+
+ # TBD: convert contraction coefficients so that they correspond to
+ # normalized density primitives
+
+ # (ij|A) integrals
+ e2 = aux_e2(mol, pmol)
+
+ # SAP effective potential is (minus sign from the definition)
+ return -numpy.sum(e2, axis=2)
diff --git a/pyscf/scf/uhf.py b/pyscf/scf/uhf.py
index 51ad32fb67..b4b5cbdb18 100644
--- a/pyscf/scf/uhf.py
+++ b/pyscf/scf/uhf.py
@@ -50,6 +50,9 @@ def init_guess_by_minao(mol, breaksym=BREAKSYM):
def init_guess_by_1e(mol, breaksym=BREAKSYM):
return UHF(mol).init_guess_by_1e(mol, breaksym)
+def init_guess_by_sapfit(mol, breaksym=BREAKSYM):
+ return UHF(mol).init_guess_by_sapfit(mol, breaksym)
+
def init_guess_by_atom(mol, breaksym=BREAKSYM):
dm = hf.init_guess_by_atom(mol)
dma = dmb = dm*.5
@@ -752,6 +755,24 @@ def init_guess_by_1e(self, mol=None, breaksym=BREAKSYM):
dmb[p0:p1,p0:p1] = dma[p0:p1,p0:p1]
return numpy.array((dma,dmb))
+ def init_guess_by_sapfit(self, mol=None, breaksym=BREAKSYM):
+ if mol is None: mol = self.mol
+ logger.info(self, 'Initial guess from fitted SAP guess (arXiv:2002.02587, doi:10.1021/acs.jctc.8b01089).')
+
+ t = mol.intor_symmetric('int1e_kin')
+ vsap = sapfit_guess(mol)
+ s1e = self.get_ovlp(mol)
+ mo_energy, mo_coeff = self.eig(t + vsap, s1e)
+
+ mo_occ = self.get_occ(mo_energy, mo_coeff)
+ dma, dmb = self.make_rdm1(mo_coeff, mo_occ)
+ if mol.spin == 0 and breaksym:
+ #remove off-diagonal part of beta DM
+ dmb = numpy.zeros_like(dma)
+ for b0, b1, p0, p1 in mol.aoslice_by_atom():
+ dmb[p0:p1,p0:p1] = dma[p0:p1,p0:p1]
+ return numpy.array((dma,dmb))
+
def init_guess_by_chkfile(self, chkfile=None, project=None):
if chkfile is None: chkfile = self.chkfile
return init_guess_by_chkfile(self.mol, chkfile, project=project)
From 9e538533cc455a39246a3a6715f7ab65a7bda432 Mon Sep 17 00:00:00 2001
From: Susi Lehtola
Date: Wed, 15 Apr 2020 22:08:01 +0300
Subject: [PATCH 2/2] Update reference
---
pyscf/scf/sapfit.py | 4 ++--
1 file changed, 2 insertions(+), 2 deletions(-)
diff --git a/pyscf/scf/sapfit.py b/pyscf/scf/sapfit.py
index 48289b24f3..d594342e0b 100644
--- a/pyscf/scf/sapfit.py
+++ b/pyscf/scf/sapfit.py
@@ -30,8 +30,8 @@
#
# S. Lehtola, L. Visscher, E. Engel, Efficient implementation of the
# superposition of atomic potentials initial guess for electronic
-# structure calculations in Gaussian basis sets, J. Chem. Phys., in
-# press (2020).
+# structure calculations in Gaussian basis sets, J. Chem. Phys. 152,
+# 144105 (2020). DOI: 10.1063/5.0004046
#
# and the original paper discussing the superposition of atomic
# potentials