return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for S4 (Sulfur tetramer)

using model chemistry: wB97X-D/LANL2DZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D2D 1A1
1 3 yes D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at wB97X-D/LANL2DZ
 hartrees
Energy at 0K-40.326607
Energy at 298.15K 
HF Energy-40.326607
Nuclear repulsion energy44.691648
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 wB97X-D/LANL2DZ
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 445 445 0.00 53.97 0.06 0.12
2 A1 151 151 0.00 13.75 0.72 0.84
3 B1 378 378 0.00 32.17 0.75 0.86
4 B2 280 280 0.29 16.45 0.75 0.86
5 E 361 361 0.12 10.42 0.75 0.86
5 E 361 361 0.12 10.42 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 988.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 988.6 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 wB97X-D/LANL2DZ
ABC
0.09684 0.09684 0.05261

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/LANL2DZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.583 0.329
S2 0.000 -1.583 0.329
S3 -1.583 0.000 -0.329
S4 1.583 0.000 -0.329

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S13.16592.33342.3334
S23.16592.33342.3334
S32.33342.33343.1659
S42.33342.33343.1659

picture of Sulfur tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S2 S4 47.282 S1 S3 S4 47.282
S2 S1 S3 47.282 S2 S4 S3 47.282
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.000      
2 S 0.000      
3 S 0.000      
4 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 -49.765 0.000 0.000
y 0.000 -49.765 0.000
z 0.000 0.000 -53.995
Traceless
 xyz
x 2.115 0.000 0.000
y 0.000 2.115 0.000
z 0.000 0.000 -4.229
Polar
3z2-r2-8.459
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 12.739 0.000 0.000
y 0.000 12.739 0.000
z 0.000 0.000 2.565


<r2> (average value of r2) Å2
<r2> 94.700
(<r2>)1/2 9.731

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at wB97X-D/LANL2DZ
 hartrees
Energy at 0K-40.332836
Energy at 298.15K 
HF Energy-40.332836
Nuclear repulsion energy43.566366
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 wB97X-D/LANL2DZ
Rotational Constants (cm-1) from geometry optimized at wB97X-D/LANL2DZ
ABC
0.09684 0.09684 0.05261

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/LANL2DZ

Point Group is D2d

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at wB97X-D/LANL2DZ
 hartrees
Energy at 0K-40.334207
Energy at 298.15K 
HF Energy-40.334207
Nuclear repulsion energy43.836929
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 wB97X-D/LANL2DZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 614 614 0.00 35.26 0.27 0.43
2 Ag 311 311 0.00 36.24 0.27 0.43
3 Au 205 205 0.00 0.00 0.00 0.00
4 B1u 578 578 107.03 0.00 0.00 0.00
5 B2u 113 113 9.76 0.00 0.00 0.00
6 B3g 289 289 0.00 23.68 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1055.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1055.5 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 wB97X-D/LANL2DZ
ABC
0.12496 0.07196 0.04566

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/LANL2DZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.027 1.353
S2 0.000 1.027 -1.353
S3 0.000 -1.027 1.353
S4 0.000 -1.027 -1.353

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.70692.05413.3980
S22.70693.39802.0541
S32.05413.39802.7069
S43.39802.05412.7069

picture of Sulfur tetramer state 1 conformation 3
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S2 S4 90.000 S1 S3 S4 90.000
S2 S1 S3 90.000 S2 S4 S3 90.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.000      
2 S 0.000      
3 S 0.000      
4 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 -50.184 0.000 0.000
y 0.000 -49.565 0.000
z 0.000 0.000 -53.525
Traceless
 xyz
x 1.361 0.000 0.000
y 0.000 2.289 0.000
z 0.000 0.000 -3.650
Polar
3z2-r2-7.300
x2-y2-0.619
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.639 0.000 0.000
y 0.000 12.931 0.000
z 0.000 0.000 17.151


<r2> (average value of r2) Å2
<r2> 101.190
(<r2>)1/2 10.059