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SymbolMeaning
energyelectronic energy calculations only
gradanalytic algorithm of computing gradients
num gradnumerical differentiation for computing gradients
freqanalytic algorithm of computing vibrational frequencies
num freqnumerical differentiation for computing vibrational frequencies
RIResolution of Identity/Density Fitting algorithm available
CDCholeski Decomposition algorithm available

Self-consistent ab initio and DFT methods (in vacuum)

MethodGaussianTurbomoleMolproGAMESSNWChemORCATerachemADF
RHFfreqfreqRIgradRIfreqfreqfreqgrad 
UHFfreqfreqRIgradRIgradfreqfreqgrad 
ROHFfreqfreqRIgradRIfreqgradfreqgrad 
DFTfreqRIfreqRIgradRIgradfreqfreqRIgradfreq

Available DFT functionals

...

   
FunctionalGaussianTurbomoleMolproGAMESSNWChemORCATerachemADF
Sxxxxx x  
XAx     x  
Bxxxxx x  
BR  x     

PW86

  x x   
PW91x xxx x  
mPWx     x  
G96x xxxx  
PBExxxxxx  
PBE96    x   
Ox  xxx  
TPSSx     x  
RevTPSSx  x    
BRxx       
PKZBx       
PBEhx       

LHF

 xx x   
OEP x      

CS1

  x     
CS2  x     

...

   
FunctionalGaussianTurbomoleMolproGAMESSNWChemORCATerachemADF
VWNxxxxx x  
VWN5xxxxx x  
LYPxxxxx x  
PLx       
P86xx xx   
PW91x xxxx  
PW92  x     
PZ81   x    
OP   xx   
B88  x x   
B95x x x   
PBE

x

xxxxx  
TPSSxx xxx  
RevTPSSx  x    
KCISx       
BRCx       
PKZBx       

...

FunctionalGaussianTurbomoleMolproGAMESSNWChemORCATerachemADF
VSXCx   x   
HCTH/*x xxx   
tHCTHx       
M06Lx x     
M08  x     
B97Dx       

BW

  x     
SOGGA  xxx   
SOGGA11x xxx   
M11Lx  x    
MN12Lx       
N12x       

THGFL

  x     

THGFCO

  x     

TH1

  x     

TH2

  x     

TH3

  x     

TH4

  x     

...

   
FunctionalGaussianTurbomoleMolproGAMESSNWChemORCATerachemADF
B3LYPxx xx x  
B3P86x  x    
B3PW91x  x    
B1LYPx     x  
B1B95x     x  
B97  xxxx  
B98x  xx   
B971x       
B972x       
PBE1PBEx       
PBE0 x xxx  
HSEH1PBE (HSE06)x       
PBEh1PBEx       
O3LYPx     x  

TPSSh

xx x x  
TPSS0     x  
BMKx  x    
M05x xxx   
M052Xx  xx   
M06x xxx   
M06L  xxx   
M06HFx xxx   
M062Xx xxx   
M08  xxx   
X3LYPx  x  x  
BHandHx   x   
BHandHLYPx   xx  
APFDx       
HISSbPBEx       
M11x xx    
SOGGA11Xx  xx   
N12SXx       
MN12SXx       

...

FunctionalGaussianTurbomoleMolproGAMESSNWChemORCATerachemADF
APFDx       
B97Dxx x  x  
B97D3x     x  
wB97xDx       
DFT-D2, DFT-D3 correcionxx xx   

...

 
FunctionalGaussianTurbomoleMolproGAMESSNWChemORCATerachemADF
LC-wPBEx  xx   
CAM-B3LYPx  xx x  
wB97XDx  x  x  
wB97Xx  x  x  
wB97x  x  x  
LC-BLYPx  xxx  
LC-PBE0x   x   
LC-PBE    x   
BNL    x   
LC-wPBEh    x   
HSE03x   x   
HSE06x   x   

...