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/daug-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/daug-cc-pVTZ
 hartrees
Energy at 0K-1592.311484
Energy at 298.15K 
HF Energy-1592.075753
Nuclear repulsion energy348.539010
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/daug-cc-pVTZ
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 514 514 0.00 42.96 0.04 0.08
2 A1 202 202 0.00 1.19 0.72 0.84
3 B1 453 453 0.00 16.80 0.75 0.86
4 B2 301 301 0.03 6.90 0.75 0.86
5 E 425 425 0.00 3.20 0.75 0.86
5 E 425 425 0.00 3.20 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1159.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1159.8 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 B2PLYP/daug-cc-pVTZ
ABC
0.11617 0.11617 0.06372

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/daug-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
S12.87652.13052.1305
S22.87652.13052.1305
S32.13052.13052.8765
S42.13052.13052.8765

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 47.539 S1 S3 S4 47.539
S2 S1 S3 47.539 S2 S4 S3 47.539
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/daug-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 -49.490 0.000 0.000
y 0.000 -49.462 0.000
z 0.000 0.000 -54.973
Traceless
 xyz
x 2.727 0.000 0.000
y 0.000 2.770 0.000
z 0.000 0.000 -5.497
Polar
3z2-r2-10.993
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 13.085 0.000 0.000
y 0.000 13.084 0.000
z 0.000 0.000 9.235


<r2> (average value of r2) Å2
<r2> 170.861
(<r2>)1/2 13.071

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP/daug-cc-pVTZ
 hartrees
Energy at 0K-1592.348938
Energy at 298.15K 
HF Energy-1592.063198
Nuclear repulsion energy329.479678
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/daug-cc-pVTZ
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 688 688 0.00 41.37 0.08 0.14
2 A1 248 248 0.00 7.76 0.71 0.83
3 A1 109 109 7.39 0.00 0.52 0.68
4 A2 230 230 0.00 0.00 0.75 0.86
5 B2 671 671 38.72 0.00 0.75 0.86
6 B2 315 315 0.00 7.53 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1130.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1130.4 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/daug-cc-pVTZ
ABC
0.14365 0.07796 0.05053

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/daug-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
S12.60031.91583.2302
S22.60033.23021.9158
S31.91583.23022.6011
S43.23021.91582.6011

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 90.013 S1 S3 S4 89.987
S2 S1 S3 90.013 S2 S4 S3 89.987
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/daug-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 0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.204 0.000 0.000
y 0.000 -53.353 0.000
z 0.000 0.000 -48.477
Traceless
 xyz
x -1.289 0.000 0.000
y 0.000 -3.012 0.000
z 0.000 0.000 4.301
Polar
3z2-r28.603
x2-y21.149
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.444 0.000 0.000
y 0.000 17.542 0.000
z 0.000 0.000 14.115


<r2> (average value of r2) Å2
<r2> 199.011
(<r2>)1/2 14.107

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP/daug-cc-pVTZ
 hartrees
Energy at 0K-1592.348938
Energy at 298.15K 
HF Energy-1592.063155
Nuclear repulsion energy329.389416
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/daug-cc-pVTZ
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 688 688 0.00 41.37 0.08 0.14
2 Ag 247 247 0.00 8.12 0.70 0.83
3 Au 229 229 0.00 0.00 0.75 0.86
4 B1u 671 671 38.52 0.00 0.60 0.75
5 B2u 109 109 7.36 0.00 0.46 0.63
6 B3g 315 315 0.00 7.53 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1129.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1129.6 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 B2PLYP/daug-cc-pVTZ
ABC
0.14366 0.07787 0.05050

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/daug-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
S12.60221.91583.2314
S22.60223.23141.9158
S31.91583.23142.6022
S43.23141.91582.6022

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/daug-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 -52.205 0.000 0.000
y 0.000 -48.479 0.000
z 0.000 0.000 -53.345
Traceless
 xyz
x -1.293 0.000 0.000
y 0.000 4.296 0.000
z 0.000 0.000 -3.003
Polar
3z2-r2-6.006
x2-y2-3.726
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.445 0.000 0.000
y 0.000 14.118 0.000
z 0.000 0.000 17.536


<r2> (average value of r2) Å2
<r2> 199.134
(<r2>)1/2 14.111