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/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-1592.175548
Energy at 298.15K 
HF Energy-1592.001212
Nuclear repulsion energy343.775843
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/cc-pVDZ
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 499 478 0.00 41.69 0.06 0.10
2 A1 190 182 0.00 3.68 0.75 0.86
3 B1 435 417 0.00 23.84 0.75 0.86
4 B2 303 291 0.04 11.35 0.75 0.86
5 E 411 394 0.12 5.81 0.75 0.86
5 E 411 394 0.12 5.81 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1124.9 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 1077.3 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/cc-pVDZ
ABC
0.11309 0.11309 0.06187

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.460 0.317
S2 0.000 -1.460 0.317
S3 -1.460 0.000 -0.317
S4 1.460 0.000 -0.317

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.91922.15922.1592
S22.91922.15922.1592
S32.15922.15922.9192
S42.15922.15922.9192

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 47.470 S1 S3 S4 47.470
S2 S1 S3 47.470 S2 S4 S3 47.470
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVDZ 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 -49.170 0.000 0.000
y 0.000 -49.126 0.000
z 0.000 0.000 -54.810
Traceless
 xyz
x 2.798 0.000 0.000
y 0.000 2.863 0.000
z 0.000 0.000 -5.662
Polar
3z2-r2-11.323
x2-y2-0.043
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.413 0.000 0.000
y 0.000 10.412 0.000
z 0.000 0.000 4.992


<r2> (average value of r2) Å2
<r2> 174.642
(<r2>)1/2 13.215

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP/cc-pVDZ
 hartrees
Energy at 0K-1592.219074
Energy at 298.15K 
HF Energy-1591.992442
Nuclear repulsion energy323.736307
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/cc-pVDZ
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 678 649 0.00 33.71 0.20 0.33
2 A1 229 219 0.00 15.00 0.50 0.67
3 A1 123 117 6.50 0.00 0.31 0.47
4 A2 218 209 0.00 0.00 0.75 0.86
5 B2 665 637 37.11 0.00 0.75 0.86
6 B2 304 291 0.00 16.54 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1108.0 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 1061.1 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 B2PLYP/cc-pVDZ
ABC
0.14045 0.07424 0.04857

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.332 0.969
S2 0.000 -1.332 0.969
S3 0.000 1.333 -0.969
S4 0.000 -1.333 -0.969

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.66491.93753.2948
S22.66493.29481.9375
S31.93753.29482.6650
S43.29481.93752.6650

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 90.002 S1 S3 S4 89.998
S2 S1 S3 90.002 S2 S4 S3 89.998
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVDZ 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 -51.703 0.000 0.000
y 0.000 -52.922 0.000
z 0.000 0.000 -48.235
Traceless
 xyz
x -1.125 0.000 0.000
y 0.000 -2.953 0.000
z 0.000 0.000 4.078
Polar
3z2-r28.155
x2-y21.219
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.101 0.000 0.000
y 0.000 13.966 0.000
z 0.000 0.000 11.785


<r2> (average value of r2) Å2
<r2> 205.520
(<r2>)1/2 14.336

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP/cc-pVDZ
 hartrees
Energy at 0K-1592.219074
Energy at 298.15K 
HF Energy-1591.992427
Nuclear repulsion energy323.723581
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/cc-pVDZ
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 678 649 0.00 33.70 0.20 0.33
2 Ag 229 220 0.00 14.90 0.50 0.67
3 Au 218 209 0.00 0.00 0.00 0.00
4 B1u 664 636 37.09 0.00 0.00 0.00
5 B2u 123 118 6.51 0.00 0.33 0.50
6 B3g 304 291 0.00 16.54 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1107.8 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 1060.9 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/cc-pVDZ
ABC
0.14041 0.07425 0.04857

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.969 1.332
S2 0.000 0.969 -1.332
S3 0.000 -0.969 1.332
S4 0.000 -0.969 -1.332

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.66481.93783.2949
S22.66483.29491.9378
S31.93783.29492.6648
S43.29491.93782.6648

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/cc-pVDZ 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 -51.704 0.000 0.000
y 0.000 -48.233 0.000
z 0.000 0.000 -52.924
Traceless
 xyz
x -1.126 0.000 0.000
y 0.000 4.081 0.000
z 0.000 0.000 -2.955
Polar
3z2-r2-5.911
x2-y2-3.471
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.101 0.000 0.000
y 0.000 11.787 0.000
z 0.000 0.000 13.969


<r2> (average value of r2) Å2
<r2> 205.521
(<r2>)1/2 14.336