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: B2PLYP/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D2D 1A1
1 2 no C2V 1A1
1 3 yes D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at B2PLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-1592.310431
Energy at 298.15K 
HF Energy-1592.075341
Nuclear repulsion energy348.508367
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 B2PLYP/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 514 493 0.00 43.02 0.04 0.08
2 A1 202 194 0.00 1.14 0.72 0.84
3 B1 452 435 0.00 17.28 0.75 0.86
4 B2 301 289 0.03 6.98 0.75 0.86
5 E 425 409 0.00 3.27 0.75 0.86
5 E 425 409 0.00 3.27 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1159.1 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 1113.9 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 B2PLYP/aug-cc-pVTZ
ABC
0.11615 0.11615 0.06371

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/aug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.438 0.317
S2 0.000 -1.438 0.317
S3 -1.438 0.000 -0.317
S4 1.438 0.000 -0.317

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87682.13062.1306
S22.87682.13062.1306
S32.13062.13062.8768
S42.13062.13062.8768

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 47.538 S1 S3 S4 47.538
S2 S1 S3 47.538 S2 S4 S3 47.538
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/aug-cc-pVTZ 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 -49.466 0.000 0.000
y 0.000 -49.437 0.000
z 0.000 0.000 -55.037
Traceless
 xyz
x 2.772 0.000 0.000
y 0.000 2.814 0.000
z 0.000 0.000 -5.586
Polar
3z2-r2-11.172
x2-y2-0.028
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.997 0.000 0.000
y 0.000 12.995 0.000
z 0.000 0.000 9.146


<r2> (average value of r2) Å2
<r2> 170.890
(<r2>)1/2 13.072

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-1592.348120
Energy at 298.15K 
HF Energy-1592.062925
Nuclear repulsion energy329.435543
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 B2PLYP/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 689 662 0.00 41.78 0.08 0.14
2 A1 247 237 0.00 7.76 0.70 0.82
3 A1 110 106 7.40 0.00 0.46 0.63
4 A2 230 221 0.00 0.00 0.75 0.86
5 B2 671 645 38.68 0.00 0.75 0.86
6 B2 315 303 0.00 7.66 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1131.1 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 1087.0 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 B2PLYP/aug-cc-pVTZ
ABC
0.14368 0.07790 0.05051

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.300 0.958
S2 0.000 -1.300 0.958
S3 0.000 1.301 -0.958
S4 0.000 -1.301 -0.958

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.60061.91563.2309
S22.60063.23091.9156
S31.91563.23092.6028
S43.23091.91562.6028

picture of Sulfur tetramer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 S2 S4 90.033 S1 S3 S4 89.967
S2 S1 S3 90.033 S2 S4 S3 89.967
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/aug-cc-pVTZ 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 0.003 0.003
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.261 0.000 0.000
y 0.000 -53.326 0.000
z 0.000 0.000 -48.452
Traceless
 xyz
x -1.372 0.000 0.000
y 0.000 -2.970 0.000
z 0.000 0.000 4.341
Polar
3z2-r28.683
x2-y21.065
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.366 0.000 0.000
y 0.000 17.497 0.000
z 0.000 0.000 14.014


<r2> (average value of r2) Å2
<r2> 199.085
(<r2>)1/2 14.110

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-1592.348120
Energy at 298.15K 
HF Energy-1592.062880
Nuclear repulsion energy329.354586
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 B2PLYP/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 688 662 0.00 41.79 0.08 0.14
2 Ag 247 237 0.00 8.03 0.70 0.82
3 Au 230 221 0.00 0.00 0.00 0.00
4 B1u 671 645 38.51 0.00 0.00 0.00
5 B2u 110 106 7.38 0.00 0.49 0.66
6 B3g 315 303 0.00 7.67 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1130.4 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 1086.3 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 B2PLYP/aug-cc-pVTZ
ABC
0.14366 0.07783 0.05048

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/aug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.958 1.301
S2 0.000 0.958 -1.301
S3 0.000 -0.958 1.301
S4 0.000 -0.958 -1.301

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.60281.91583.2318
S22.60283.23181.9158
S31.91583.23182.6028
S43.23181.91582.6028

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 B2PLYP/aug-cc-pVTZ 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 -52.263 0.000 0.000
y 0.000 -48.453 0.000
z 0.000 0.000 -53.322
Traceless
 xyz
x -1.375 0.000 0.000
y 0.000 4.340 0.000
z 0.000 0.000 -2.965
Polar
3z2-r2-5.930
x2-y2-3.810
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.367 0.000 0.000
y 0.000 14.017 0.000
z 0.000 0.000 17.494


<r2> (average value of r2) Å2
<r2> 199.184
(<r2>)1/2 14.113