return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: HF/aug-cc-pVDZ

19 10 17 12 22

States and conformations

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

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at HF/aug-cc-pVDZ
 hartrees
Energy at 0K-1192.551599
Energy at 298.15K-1192.552117
HF Energy-1192.551599
Nuclear repulsion energy183.554075
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 HF/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 667 608 2.39      
2 A1 285 260 1.79      
3 B2 757 689 278.74      

Unscaled Zero Point Vibrational Energy (zpe) 854.5 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 778.1 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 HF/aug-cc-pVDZ
ABC
0.79026 0.09968 0.08852

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.667
S2 0.000 1.626 -0.333
S3 0.000 -1.626 -0.333

Atom - Atom Distances (Å)
  S1 S2 S3
S11.90931.9093
S21.90933.2525
S31.90933.2525

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 116.804
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.229      
2 S -0.114      
3 S -0.114      


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 0.693 0.693
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.432 0.000 0.000
y 0.000 -40.054 0.000
z 0.000 0.000 -39.932
Traceless
 xyz
x 1.561 0.000 0.000
y 0.000 -0.873 0.000
z 0.000 0.000 -0.689
Polar
3z2-r2-1.377
x2-y21.623
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.064 0.000 0.000
y 0.000 17.418 0.000
z 0.000 0.000 7.231


<r2> (average value of r2) Å2
<r2> 119.960
(<r2>)1/2 10.953

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HF/aug-cc-pVDZ
 hartrees
Energy at 0K-1192.561364
Energy at 298.15K-1192.561943
HF Energy-1192.561364
Nuclear repulsion energy194.618221
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 HF/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' 660 601 0.00      
2 E' 495 450 1.15      
2 E' 495 450 1.15      

Unscaled Zero Point Vibrational Energy (zpe) 824.7 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 750.9 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 HF/aug-cc-pVDZ
ABC
0.24182 0.24182 0.12091

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.206 0.000
S2 1.044 -0.603 0.000
S3 -1.044 -0.603 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.08822.0882
S22.08822.0882
S32.08822.0882

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 HF/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 -35.899 0.000 0.000
y 0.000 -35.899 0.000
z 0.000 0.000 -43.351
Traceless
 xyz
x 3.726 0.000 0.000
y 0.000 3.726 0.000
z 0.000 0.000 -7.452
Polar
3z2-r2-14.904
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 9.241 0.000 0.000
y 0.000 9.241 0.000
z 0.000 0.000 6.165


<r2> (average value of r2) Å2
<r2> 93.745
(<r2>)1/2 9.682