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

using model chemistry: B97D3/6-31G

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 B97D3/6-31G
 hartrees
Energy at 0K-1194.466580
Energy at 298.15K-1194.466683
HF Energy-1194.466580
Nuclear repulsion energy165.053480
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 B97D3/6-31G
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 488 488 51.47      
2 A1 458 458 0.36      
3 A1 199 199 1.42      

Unscaled Zero Point Vibrational Energy (zpe) 572.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 572.7 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 B97D3/6-31G
ABC
0.62881 0.08095 0.07172

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.748
S2 0.000 1.805 -0.374
S3 0.000 -1.805 -0.374

Atom - Atom Distances (Å)
  S1 S2 S3
S12.12472.1247
S22.12473.6092
S32.12473.6092

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 116.281
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.092      
2 S -0.046      
3 S -0.046      


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 0.665 0.665
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.766 0.000 0.000
y 0.000 -41.433 0.000
z 0.000 0.000 -40.544
Traceless
 xyz
x 3.222 0.000 0.000
y 0.000 -2.278 0.000
z 0.000 0.000 -0.945
Polar
3z2-r2-1.889
x2-y23.667
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.639 0.000 0.000
y 0.000 16.656 0.000
z 0.000 0.000 4.971


<r2> (average value of r2) Å2
<r2> 142.556
(<r2>)1/2 11.940

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B97D3/6-31G
 hartrees
Energy at 0K-1194.448501
Energy at 298.15K-1194.448695
HF Energy-1194.448501
Nuclear repulsion energy175.248672
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 B97D3/6-31G
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' 478 478 0.00      
2 E' 355 355 0.75      
2 E' 355 355 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 594.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 594.1 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 B97D3/6-31G
ABC
0.19608 0.19608 0.09804

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.339 0.000
S2 1.160 -0.669 0.000
S3 -1.160 -0.669 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.31902.3190
S22.31902.3190
S32.31902.3190

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 B97D3/6-31G 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 -36.653 0.000 0.000
y 0.000 -36.653 0.000
z 0.000 0.000 -42.953
Traceless
 xyz
x 3.150 0.000 0.000
y 0.000 3.150 0.000
z 0.000 0.000 -6.301
Polar
3z2-r2-12.601
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 9.072 0.000 0.000
y 0.000 9.072 0.000
z 0.000 0.000 2.182


<r2> (average value of r2) Å2
<r2> 110.251
(<r2>)1/2 10.500