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

using model chemistry: PBE1PBE/TZVP

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 PBE1PBE/TZVP
 hartrees
Energy at 0K-1194.149866
Energy at 298.15K-1194.150300
HF Energy-1194.149866
Nuclear repulsion energy181.042752
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 PBE1PBE/TZVP
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 695 666 131.72      
2 A1 609 584 2.42      
3 A1 266 255 2.26      

Unscaled Zero Point Vibrational Energy (zpe) 784.3 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 752.6 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 PBE1PBE/TZVP
ABC
0.78853 0.09632 0.08584

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.668
S2 0.000 1.654 -0.334
S3 0.000 -1.654 -0.334

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93391.9339
S21.93393.3088
S31.93393.3088

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 117.622
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.240      
2 S -0.120      
3 S -0.120      


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 0.712 0.712
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.232 0.000 0.000
y 0.000 -40.079 0.000
z 0.000 0.000 -39.420
Traceless
 xyz
x 2.518 0.000 0.000
y 0.000 -1.753 0.000
z 0.000 0.000 -0.764
Polar
3z2-r2-1.529
x2-y22.847
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.283 0.000 0.000
y 0.000 14.853 0.000
z 0.000 0.000 5.111


<r2> (average value of r2) Å2
<r2> 122.584
(<r2>)1/2 11.072

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBE1PBE/TZVP
 hartrees
Energy at 0K-1194.144556
Energy at 298.15K-1194.145089
HF Energy-1194.144556
Nuclear repulsion energy194.229162
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 PBE1PBE/TZVP
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' 628 603 0.00      
2 E' 478 459 0.90      
2 E' 478 459 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 792.3 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 760.3 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 PBE1PBE/TZVP
ABC
0.24086 0.24086 0.12043

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/TZVP

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.208 0.000
S2 1.046 -0.604 0.000
S3 -1.046 -0.604 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09242.0924
S22.09242.0924
S32.09242.0924

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 PBE1PBE/TZVP 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 -35.650 0.000 0.000
y 0.000 -35.650 0.000
z 0.000 0.000 -42.172
Traceless
 xyz
x 3.261 0.000 0.000
y 0.000 3.261 0.000
z 0.000 0.000 -6.523
Polar
3z2-r2-13.046
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 7.724 0.000 0.000
y 0.000 7.724 0.000
z 0.000 0.000 3.274


<r2> (average value of r2) Å2
<r2> 93.675
(<r2>)1/2 9.679