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

using model chemistry: B3LYP/aug-cc-pVDZ

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 B3LYP/aug-cc-pVDZ
 hartrees
Energy at 0K-1194.617559
Energy at 298.15K-1194.617941
HF Energy-1194.617559
Nuclear repulsion energy178.780659
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 B3LYP/aug-cc-pVDZ
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 657 638 118.65      
2 A1 580 563 1.01      
3 A1 251 244 0.69      

Unscaled Zero Point Vibrational Energy (zpe) 744.1 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 722.1 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 B3LYP/aug-cc-pVDZ
ABC
0.76372 0.09410 0.08378

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.678
S2 0.000 1.674 -0.339
S3 0.000 -1.674 -0.339

Atom - Atom Distances (Å)
  S1 S2 S3
S11.95891.9589
S21.95893.3476
S31.95893.3476

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 117.403
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.193      
2 S -0.096      
3 S -0.096      


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 0.565 0.565
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.929 0.000 0.000
y 0.000 -39.437 0.000
z 0.000 0.000 -39.582
Traceless
 xyz
x 1.581 0.000 0.000
y 0.000 -0.682 0.000
z 0.000 0.000 -0.899
Polar
3z2-r2-1.798
x2-y21.509
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.174 0.000 0.000
y 0.000 16.670 0.000
z 0.000 0.000 7.672


<r2> (average value of r2) Å2
<r2> 125.046
(<r2>)1/2 11.182

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYP/aug-cc-pVDZ
 hartrees
Energy at 0K-1194.604627
Energy at 298.15K-1194.605082
HF Energy-1194.604627
Nuclear repulsion energy191.096823
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 B3LYP/aug-cc-pVDZ
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' 589 572 0.00      
2 E' 444 431 0.47      
2 E' 444 431 0.47      

Unscaled Zero Point Vibrational Energy (zpe) 738.4 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 716.5 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 B3LYP/aug-cc-pVDZ
ABC
0.23315 0.23315 0.11658

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.228 0.000
S2 1.063 -0.614 0.000
S3 -1.063 -0.614 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12672.1267
S22.12672.1267
S32.12672.1267

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 B3LYP/aug-cc-pVDZ 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 -35.646 0.000 0.000
y 0.000 -35.646 0.000
z 0.000 0.000 -42.875
Traceless
 xyz
x 3.614 0.000 0.000
y 0.000 3.614 0.000
z 0.000 0.000 -7.229
Polar
3z2-r2-14.457
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 9.529 0.000 0.000
y 0.000 9.530 0.000
z 0.000 0.000 6.601


<r2> (average value of r2) Å2
<r2> 96.135
(<r2>)1/2 9.805