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

using model chemistry: HSEh1PBE/aug-cc-pVTZ

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 HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.249445
Energy at 298.15K-1194.249895
HF Energy-1194.249445
Nuclear repulsion energy182.538788
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 HSEh1PBE/aug-cc-pVTZ
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 713 686 134.70      
2 A1 619 595 1.79      
3 A1 265 255 0.77      

Unscaled Zero Point Vibrational Energy (zpe) 798.6 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 768.1 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 HSEh1PBE/aug-cc-pVTZ
ABC
0.80725 0.09774 0.08719

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.660
S2 0.000 1.642 -0.330
S3 0.000 -1.642 -0.330

Atom - Atom Distances (Å)
  S1 S2 S3
S11.91751.9175
S21.91753.2846
S31.91753.2846

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 117.845
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.325      
2 S -0.163      
3 S -0.163      


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 0.509 0.509
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.421 0.000 0.000
y 0.000 -38.925 0.000
z 0.000 0.000 -39.132
Traceless
 xyz
x 1.608 0.000 0.000
y 0.000 -0.648 0.000
z 0.000 0.000 -0.960
Polar
3z2-r2-1.920
x2-y21.504
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.317 0.000 0.000
y 0.000 16.109 0.000
z 0.000 0.000 7.713


<r2> (average value of r2) Å2
<r2> 120.803
(<r2>)1/2 10.991

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.243644
Energy at 298.15K-1194.244191
HF Energy-1194.243644
Nuclear repulsion energy195.735370
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 HSEh1PBE/aug-cc-pVTZ
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' 633 609 0.00      
2 E' 484 465 0.36      
2 E' 484 465 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 800.3 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 769.7 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 HSEh1PBE/aug-cc-pVTZ
ABC
0.24461 0.24461 0.12230

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.199 0.000
S2 1.038 -0.599 0.000
S3 -1.038 -0.599 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07632.0763
S22.07632.0763
S32.07632.0763

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 HSEh1PBE/aug-cc-pVTZ 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 -35.577 0.000 0.000
y 0.000 -35.577 0.000
z 0.000 0.000 -41.859
Traceless
 xyz
x 3.141 0.000 0.000
y 0.000 3.141 0.000
z 0.000 0.000 -6.282
Polar
3z2-r2-12.563
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 9.478 0.000 0.000
y 0.000 9.478 0.000
z 0.000 0.000 6.690


<r2> (average value of r2) Å2
<r2> 92.506
(<r2>)1/2 9.618