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

using model chemistry: HF/6-31G*

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 HF/6-31G*
 hartrees
Energy at 0K-1192.472717
Energy at 298.15K-1192.473240
HF Energy-1192.472717
Nuclear repulsion energy184.412278
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 HF/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 670 602 3.05      
2 A1 294 265 4.74      
3 B2 769 691 279.69      

Unscaled Zero Point Vibrational Energy (zpe) 866.7 cm-1
Scaled (by 0.8985) Zero Point Vibrational Energy (zpe) 778.7 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 HF/6-31G*
ABC
0.81186 0.10014 0.08915

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.658
S2 0.000 1.622 -0.329
S3 0.000 -1.622 -0.329

Atom - Atom Distances (Å)
  S1 S2 S3
S11.89911.8991
S21.89913.2450
S31.89913.2450

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 117.374
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.318      
2 S -0.159      
3 S -0.159      


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 1.028 1.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.997 0.000 0.000
y 0.000 -41.931 0.004
z 0.000 0.004 -40.359
Traceless
 xyz
x 3.149 0.000 0.000
y 0.000 -2.753 0.004
z 0.000 0.004 -0.395
Polar
3z2-r2-0.791
x2-y23.935
xy0.000
xz0.000
yz0.004


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.285 0.000 0.000
y 0.000 16.623 -0.008
z 0.000 -0.008 4.804


<r2> (average value of r2) Å2
<r2> 119.674
(<r2>)1/2 10.940

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HF/6-31G*
 hartrees
Energy at 0K-1192.484644
Energy at 298.15K-1192.485250
HF Energy-1192.484644
Nuclear repulsion energy197.021352
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 HF/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' 681 612 0.00      
2 E' 516 464 2.75      
2 E' 516 464 2.75      

Unscaled Zero Point Vibrational Energy (zpe) 856.5 cm-1
Scaled (by 0.8985) Zero Point Vibrational Energy (zpe) 769.6 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 HF/6-31G*
ABC
0.24783 0.24783 0.12392

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.191 0.000
S2 1.031 -0.595 0.000
S3 -1.031 -0.595 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.06282.0628
S22.06282.0628
S32.06282.0628

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 HF/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 -36.777 0.000 0.000
y 0.000 -36.777 0.000
z 0.000 0.000 -42.702
Traceless
 xyz
x 2.962 0.000 0.000
y 0.000 2.962 0.000
z 0.000 0.000 -5.925
Polar
3z2-r2-11.850
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 7.748 0.000 0.000
y 0.000 7.748 0.000
z 0.000 0.000 3.271


<r2> (average value of r2) Å2
<r2> 92.284
(<r2>)1/2 9.606