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

using model chemistry: M06-2X/TZVP

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 M06-2X/TZVP
 hartrees
Energy at 0K-1194.504094
Energy at 298.15K-1194.504544
HF Energy-1194.504094
Nuclear repulsion energy182.085890
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 M06-2X/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 714 676 152.54      
2 A1 625 591 2.40      
3 A1 264 250 2.61      

Unscaled Zero Point Vibrational Energy (zpe) 801.6 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 758.5 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 M06-2X/TZVP
ABC
0.77722 0.09811 0.08711

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.673
S2 0.000 1.639 -0.336
S3 0.000 -1.639 -0.336

Atom - Atom Distances (Å)
  S1 S2 S3
S11.92481.9248
S21.92483.2785
S31.92483.2785

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 116.785
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.253      
2 S -0.127      
3 S -0.127      


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 0.810 0.810
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.453 0.000 0.000
y 0.000 -40.486 0.000
z 0.000 0.000 -39.524
Traceless
 xyz
x 2.552 0.000 0.000
y 0.000 -1.998 0.000
z 0.000 0.000 -0.555
Polar
3z2-r2-1.109
x2-y23.033
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.291 0.000 0.000
y 0.000 15.264 0.000
z 0.000 0.000 5.148


<r2> (average value of r2) Å2
<r2> 121.297
(<r2>)1/2 11.013

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at M06-2X/TZVP
 hartrees
Energy at 0K-1194.508099
Energy at 298.15K-1194.508629
HF Energy-1194.508099
Nuclear repulsion energy194.449235
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 M06-2X/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' 625 591 0.00      
2 E' 478 452 1.07      
2 E' 478 452 1.05      

Unscaled Zero Point Vibrational Energy (zpe) 790.0 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 747.5 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 M06-2X/TZVP
ABC
0.24140 0.24140 0.12070

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/TZVP

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.207 0.000
S2 1.045 -0.603 0.000
S3 -1.045 -0.603 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09002.0900
S22.09002.0900
S32.09002.0900

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 M06-2X/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 -35.860 0.000 0.000
y 0.000 -35.860 0.000
z 0.000 0.000 -42.294
Traceless
 xyz
x 3.217 0.000 0.000
y 0.000 3.217 0.000
z 0.000 0.000 -6.435
Polar
3z2-r2-12.869
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 7.829 0.000 0.000
y 0.000 7.833 0.000
z 0.000 0.000 3.297


<r2> (average value of r2) Å2
<r2> 93.630
(<r2>)1/2 9.676