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Completed calculations for S4 (Sulfur tetramer)

Methods and basis sets for which an energy has been calculated. "e" indicates just an energy has been calculated. "o" indicates an optimized geometry. "v" indicates vibrational frequencies. "s" followed by a number indicates completed calculations for different states (for example s1ov). "c" followed by a number indicates completed calculations for different conformations (for example c2ov).
See the Calculated Energies page (section III.A.1) for more calculated properties.
Methods with predefined basis sets
semi-empirical AM1 c1ov c2o c3o
PM3 c1ov c2o c3o
composite G1 c1e c2e c3e
G2MP2 c1e c2e c3e
G2 c1e c2e c3e
G3 c1e c2e c3e
G3B3 c1e c2e c3e
G4 c1e c2e c3e
CBS-Q c1e c2e c3e

Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
ROHF                                     c1ov c1ov    
density functional LSDA                                     c1ov c2ov c3o c1ov c2ov c3o    
BLYP c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
B1B95 c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
B3LYP c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
B3LYPultrafine   c1ov c2ov c3ov     c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
B3PW91 c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
mPW1PW91 c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
M06-2X c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
PBEPBE c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
PBEPBEultrafine   c1ov c2ov c3ov     c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3ov   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
PBE1PBE c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
HSEh1PBE c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
TPSSh c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
wB97X-D c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1o c2o c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
B97D3 c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1o c2o c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 c1ov c1ov c1ov c2ov c3ov c1ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c3ov c1ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov
MP2=FULL c1ov c1ov c1ov c2ov c3ov c1ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c3ov c1ov c3ov c1ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov
ROMP2                                     c1ov c1ov    
MP3         c1ov c2ov c3o   c1ov c2ov c3o       c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o         c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
MP3=FULL   c1ov c2o c3o c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
MP4   c1ov     c1ov c2ov c3ov       c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c3ov   c1ov c2o c3o c1ov c2o c3o c1ov c2ov c3ov c1ov c2ov c3ov
MP4=FULL   c1ov     c1ov c2ov c3ov       c1ov c2ov c3ov   c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2o c3o   c1ov c2ov c3ov c1ov c2o c3o   c1ov c2o c3o c1ov c2o c3o c1ov c2ov c3ov c1ov c2o c3o
B2PLYP c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov
B2PLYP=FULL c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov
B2PLYP=FULLultrafine c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov
Configuration interaction CID   c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o     c1ov c2ov c3o     c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o         c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
CISD   c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3o     c1ov c2ov c3o     c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o         c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1o c2ov c3o
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   c1ov c2o c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
QCISD(T)         c1ov c2ov c3o     c1ov c2ov c3o     c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
QCISD(T)=FULL         c1ov c2ov c3o   c1ov c2ov c3o       c1ov c2ov c3o   c1ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1o c3o c1ov c2ov c3o c1o c2o c3o c1ov c2ov c3o c1ov c2o c3o
Coupled Cluster CCD   c1ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3ov c1ov c2ov c3ov   c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3ov
CCSD         c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1o c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
CCSD=FULL         c1ov c2ov c3o         c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2o c3o c1ov c2ov c3o c1ov c2ov c3o c1o c1ov c2ov c3o c1o c2ov c3o c1ov c2ov c3o c1ov c2ov c3o
CCSD(T)         c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2o c3ov c1ov c2ov c3o c1ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c3o c1ov c2ov c3o
CCSD(T)=FULL         c1ov c2ov c3o           c1ov c2ov c3o c1ov c2ov c3o c1ov c3o c1ov c2ov c3o c1ov c2o c3o c1ov c2o c3ov c1ov c2ov c3o c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c3o c1ov c2ov c3o
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ

Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD cc-pVTZ-PP aug-cc-pVTZ-PP Def2TZVPP
hartree fock HF c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o     c1ov c2ov c3o
density functional BLYP                 c1ov c2ov c3o
B1B95                 c1ov c2ov c3o
B3LYP c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3ov c1ov c2ov c3ov     c1ov c2ov c3o
B3LYPultrafine                 c1ov c2ov c3o
B3PW91                 c1ov c2ov c3o
mPW1PW91                 c1ov c2ov c3o
M06-2X                 c1ov c2ov c3o
PBEPBE                 c1ov c2ov c3o
PBEPBEultrafine                 c1ov c2ov c3o
PBE1PBE                 c1ov c2ov c3o
HSEh1PBE                 c1ov c2ov c3o
TPSSh                 c1ov c2ov c3o
wB97X-D c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c2ov c3o c1ov c3ov c1ov c2ov c3ov     c1ov c2ov c3o
B97D3                 c1ov c2ov c3o
Moller Plesset perturbation MP2 c1ov c1ov c2ov c3ov c1ov c1ov c2ov c3ov c1ov c1ov     c1ov c2ov c3ov
MP2=FULL                 c1ov c2ov c3ov
MP3                 c1ov c2ov c3o
MP3=FULL                 c1ov c2ov c3o
MP4                 c1ov c2o c3o
MP4=FULL                 c1ov c2o c3o
B2PLYP                 c1ov c2ov c3ov
B2PLYP=FULL                 c1ov c2ov c3ov
B2PLYP=FULLultrafine                 c1ov c2ov c3ov
Configuration interaction CID                 c1ov c2ov c3o
CISD                 c1ov c2o c3o
Quadratic configuration interaction QCISD                 c1ov c2ov c3o
QCISD(T)                 c1ov c3o
QCISD(T)=FULL                 c1ov c2ov c3o
Coupled Cluster CCD                 c1ov c2ov c3o
CCSD                 c1ov c2ov c3o
CCSD=FULL                 c1ov c2ov c3o
CCSD(T)                 c1ov c3o
CCSD(T)=FULL                 c1ov c2o c3o
For descriptions of the methods (AM1, HF, MP2, ...) and basis sets (3-21G, 3-21G*, 6-31G, ...) see the glossary in section I.C. Predefined means the basis set used is determined by the method.