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

using model chemistry: B3PW91/6-31G(2df,p)

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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-1194.417596
Energy at 298.15K-1194.418037
HF Energy-1194.417596
Nuclear repulsion energy182.201480
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 B3PW91/6-31G(2df,p)
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 712 684 127.54      
2 A1 615 591 2.29      
3 A1 265 254 1.26      

Unscaled Zero Point Vibrational Energy (zpe) 795.5 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 764.8 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 B3PW91/6-31G(2df,p)
ABC
0.81063 0.09718 0.08678

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.658
S2 0.000 1.647 -0.329
S3 0.000 -1.647 -0.329

Atom - Atom Distances (Å)
  S1 S2 S3
S11.92051.9205
S21.92053.2941
S31.92053.2941

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 118.097
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.239      
2 S -0.119      
3 S -0.119      


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 0.577 0.577
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.920 0.000 0.000
y 0.000 -38.601 0.000
z 0.000 0.000 -38.701
Traceless
 xyz
x 1.731 0.000 0.000
y 0.000 -0.791 0.000
z 0.000 0.000 -0.940
Polar
3z2-r2-1.880
x2-y21.682
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.491 0.000 0.000
y 0.000 14.708 0.000
z 0.000 0.000 5.928


<r2> (average value of r2) Å2
<r2> 120.994
(<r2>)1/2 11.000

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-1194.409610
Energy at 298.15K-1194.410146
HF Energy-1194.409610
Nuclear repulsion energy195.480423
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 B3PW91/6-31G(2df,p)
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' 631 607 0.00      
2 E' 481 463 0.34      
2 E' 481 463 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 796.7 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 765.9 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 B3PW91/6-31G(2df,p)
ABC
0.24397 0.24397 0.12199

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.200 0.000
S2 1.040 -0.600 0.000
S3 -1.040 -0.600 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.07902.0790
S22.07902.0790
S32.07902.0790

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 B3PW91/6-31G(2df,p) 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 -35.164 0.000 0.000
y 0.000 -35.164 0.000
z 0.000 0.000 -41.425
Traceless
 xyz
x 3.131 0.000 0.000
y 0.000 3.131 0.000
z 0.000 0.000 -6.262
Polar
3z2-r2-12.523
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 8.161 0.000 0.000
y 0.000 8.160 0.000
z 0.000 0.000 4.716


<r2> (average value of r2) Å2
<r2> 92.424
(<r2>)1/2 9.614