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All results from a given calculation for S3 (Sulfur trimer)

using model chemistry: BLYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
1 2 no D3H 1A1'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at BLYP/6-31G(2df,p)
 hartrees
Energy at 0K-1194.532111
Energy at 298.15K-1194.532445
HF Energy-1194.532111
Nuclear repulsion energy178.024741
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at BLYP/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 B2 628 624 103.41      
2 A1 551 548 1.54      
3 A1 244 243 0.86      

Unscaled Zero Point Vibrational Energy (zpe) 711.6 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 707.7 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at BLYP/6-31G(2df,p)
ABC
0.78744 0.09237 0.08267

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.668
S2 0.000 1.689 -0.334
S3 0.000 -1.689 -0.334

Atom - Atom Distances (Å)
  S1 S2 S3
S11.96431.9643
S21.96433.3788
S31.96433.3788

picture of Sulfur trimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S2 S1 S3 118.645
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.219      
2 S -0.109      
3 S -0.109      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.579 0.579
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.119 0.000 0.000
y 0.000 -38.753 0.000
z 0.000 0.000 -38.885
Traceless
 xyz
x 1.700 0.000 0.000
y 0.000 -0.751 0.000
z 0.000 0.000 -0.948
Polar
3z2-r2-1.897
x2-y21.634
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.515 0.000 0.000
y 0.000 15.114 0.000
z 0.000 0.000 6.044


<r2> (average value of r2) Å2
<r2> 125.937
(<r2>)1/2 11.222

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at BLYP/6-31G(2df,p)
 hartrees
Energy at 0K-1194.511731
Energy at 298.15K-1194.512142
HF Energy-1194.511731
Nuclear repulsion energy190.966863
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at BLYP/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 567 563 0.00      
2 E' 430 428 0.34      
2 E' 430 428 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 713.6 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 709.7 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at BLYP/6-31G(2df,p)
ABC
0.23283 0.23283 0.11642

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.229 0.000
S2 1.064 -0.614 0.000
S3 -1.064 -0.614 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12822.1282
S22.12822.1282
S32.12822.1282

picture of Sulfur trimer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S2 S1 S3 60.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.000      
2 S 0.000      
3 S 0.000      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.272 0.000 0.000
y 0.000 -35.272 0.000
z 0.000 0.000 -41.649
Traceless
 xyz
x 3.189 0.000 0.000
y 0.000 3.189 0.000
z 0.000 0.000 -6.377
Polar
3z2-r2-12.754
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.424 0.000 0.000
y 0.000 8.424 0.000
z 0.000 0.000 4.761


<r2> (average value of r2) Å2
<r2> 95.823
(<r2>)1/2 9.789