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

using model chemistry: HF/cc-pV(T+d)Z

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/cc-pV(T+d)Z
 hartrees
Energy at 0K-1192.608462
Energy at 298.15K-1192.609016
HF Energy-1192.608462
Nuclear repulsion energy186.264390
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/cc-pV(T+d)Z
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 686 625 4.99      
2 A1 298 271 2.22      
3 B2 790 719 289.70      

Unscaled Zero Point Vibrational Energy (zpe) 886.8 cm-1
Scaled (by 0.9103) Zero Point Vibrational Energy (zpe) 807.3 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/cc-pV(T+d)Z
ABC
0.84193 0.10173 0.09076

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.646
S2 0.000 1.610 -0.323
S3 0.000 -1.610 -0.323

Atom - Atom Distances (Å)
  S1 S2 S3
S11.87911.8791
S21.87913.2196
S31.87913.2196

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 117.898
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/cc-pV(T+d)Z Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.339      
2 S -0.169      
3 S -0.169      


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 0.703 0.703
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.536 0.000 0.000
y 0.000 -39.773 0.000
z 0.000 0.000 -39.499
Traceless
 xyz
x 2.100 0.000 0.000
y 0.000 -1.255 0.000
z 0.000 0.000 -0.845
Polar
3z2-r2-1.690
x2-y22.237
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.461 0.000 0.000
y 0.000 15.687 0.000
z 0.000 0.000 5.824


<r2> (average value of r2) Å2
<r2> 117.267
(<r2>)1/2 10.829

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HF/cc-pV(T+d)Z
 hartrees
Energy at 0K-1192.617779
Energy at 298.15K-1192.618391
HF Energy-1192.617779
Nuclear repulsion energy197.570427
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/cc-pV(T+d)Z
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' 679 618 0.00      
2 E' 511 465 1.07      
2 E' 511 465 1.07      

Unscaled Zero Point Vibrational Energy (zpe) 850.6 cm-1
Scaled (by 0.9103) Zero Point Vibrational Energy (zpe) 774.3 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/cc-pV(T+d)Z
ABC
0.24922 0.24922 0.12461

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/cc-pV(T+d)Z

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.188 0.000
S2 1.029 -0.594 0.000
S3 -1.029 -0.594 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.05702.0570
S22.05702.0570
S32.05702.0570

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/cc-pV(T+d)Z 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 -35.793 0.000 0.000
y 0.000 -35.793 0.000
z 0.000 0.000 -42.256
Traceless
 xyz
x 3.232 0.000 0.000
y 0.000 3.232 0.000
z 0.000 0.000 -6.464
Polar
3z2-r2-12.927
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 8.324 0.000 0.000
y 0.000 8.324 0.000
z 0.000 0.000 4.411


<r2> (average value of r2) Å2
<r2> 91.403
(<r2>)1/2 9.560