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

using model chemistry: mPW1PW91/Def2TZVPP

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 mPW1PW91/Def2TZVPP
 hartrees
Energy at 0K-1194.655509
Energy at 298.15K-1194.655972
HF Energy-1194.655509
Nuclear repulsion energy183.676338
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/Def2TZVPP
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 726 726 138.94      
2 A1 627 627 2.98      
3 A1 271 271 1.07      

Unscaled Zero Point Vibrational Energy (zpe) 812.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 812.1 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 mPW1PW91/Def2TZVPP
ABC
0.82293 0.09879 0.08820

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.654
S2 0.000 1.634 -0.327
S3 0.000 -1.634 -0.327

Atom - Atom Distances (Å)
  S1 S2 S3
S11.90521.9052
S21.90523.2672
S31.90523.2672

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 118.063
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.248      
2 S -0.124      
3 S -0.124      


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 0.507 0.507
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.911 0.000 0.000
y 0.000 -38.610 0.000
z 0.000 0.000 -38.711
Traceless
 xyz
x 1.749 0.000 0.000
y 0.000 -0.799 0.000
z 0.000 0.000 -0.951
Polar
3z2-r2-1.902
x2-y21.699
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.444 0.000 0.000
y 0.000 14.628 0.000
z 0.000 0.000 5.969


<r2> (average value of r2) Å2
<r2> 119.429
(<r2>)1/2 10.928

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at mPW1PW91/Def2TZVPP
 hartrees
Energy at 0K-1194.648480
Energy at 298.15K-1194.649030
HF Energy-1194.648480
Nuclear repulsion energy196.726751
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/Def2TZVPP
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' 637 637 0.00      
2 E' 487 487 0.35      
2 E' 487 487 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 805.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 805.6 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 mPW1PW91/Def2TZVPP
ABC
0.24709 0.24709 0.12355

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/Def2TZVPP

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.193 0.000
S2 1.033 -0.596 0.000
S3 -1.033 -0.596 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.06592.0659
S22.06592.0659
S32.06592.0659

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/Def2TZVPP 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 -35.131 0.000 0.000
y 0.000 -35.131 0.000
z 0.000 0.000 -41.519
Traceless
 xyz
x 3.194 0.000 0.000
y 0.000 3.194 0.000
z 0.000 0.000 -6.388
Polar
3z2-r2-12.777
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 8.304 0.000 0.000
y 0.000 8.304 0.000
z 0.000 0.000 4.486


<r2> (average value of r2) Å2
<r2> 91.556
(<r2>)1/2 9.568