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

using model chemistry: mPW1PW91/STO-3G

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 mPW1PW91/STO-3G
 hartrees
Energy at 0K-1181.341838
Energy at 298.15K-1181.342206
HF Energy-1181.341838
Nuclear repulsion energy177.182808
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 mPW1PW91/STO-3G
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 745 655 11.87      
2 A1 664 584 0.00      
3 A1 256 225 3.69      

Unscaled Zero Point Vibrational Energy (zpe) 832.8 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 732.0 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 mPW1PW91/STO-3G
ABC
0.65141 0.09623 0.08384

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.735
S2 0.000 1.655 -0.367
S3 0.000 -1.655 -0.367

Atom - Atom Distances (Å)
  S1 S2 S3
S11.98841.9884
S21.98843.3103
S31.98843.3103

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 112.695
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.146      
2 S -0.073      
3 S -0.073      


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 0.661 0.661
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.898 0.000 0.000
y 0.000 -35.646 0.000
z 0.000 0.000 -33.757
Traceless
 xyz
x 3.804 0.000 0.000
y 0.000 -3.319 0.000
z 0.000 0.000 -0.485
Polar
3z2-r2-0.969
x2-y24.748
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.126 0.000 0.000
y 0.000 8.558 0.000
z 0.000 0.000 1.746


<r2> (average value of r2) Å2
<r2> 121.500
(<r2>)1/2 11.023

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-1181.378077
Energy at 298.15K-1181.378675
HF Energy-1181.378077
Nuclear repulsion energy191.612128
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 mPW1PW91/STO-3G
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' 754 662 0.00      
2 E' 560 493 0.00      
2 E' 560 493 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 937.2 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 823.7 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 mPW1PW91/STO-3G
ABC
0.23441 0.23441 0.11721

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.225 0.000
S2 1.060 -0.612 0.000
S3 -1.060 -0.612 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12102.1210
S22.12102.1210
S32.12102.1210

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 mPW1PW91/STO-3G 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 -31.913 0.000 0.000
y 0.000 -31.913 0.000
z 0.000 0.000 -34.547
Traceless
 xyz
x 1.317 0.000 0.000
y 0.000 1.317 0.000
z 0.000 0.000 -2.634
Polar
3z2-r2-5.268
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 4.194 0.000 0.000
y 0.000 4.194 0.000
z 0.000 0.000 0.188


<r2> (average value of r2) Å2
<r2> 92.458
(<r2>)1/2 9.616