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

using model chemistry: B3PW91/Def2TZVPP

19 10 17 12 22

States and conformations

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

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at B3PW91/Def2TZVPP
 hartrees
Energy at 0K-1592.650366
Energy at 298.15K 
HF Energy-1592.650366
Nuclear repulsion energy352.180858
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 B3PW91/Def2TZVPP
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 530 530 0.00 37.07 0.05 0.09
2 A1 206 206 0.00 2.41 0.74 0.85
3 B1 469 469 0.00 16.37 0.75 0.86
4 B2 298 298 0.00 8.32 0.75 0.86
5 E 439 439 0.00 4.05 0.75 0.86
5 E 439 439 0.00 4.05 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1190.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1190.3 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 B3PW91/Def2TZVPP
ABC
0.11863 0.11863 0.06503

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/Def2TZVPP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.424 0.313
S2 0.000 -1.424 0.313
S3 -1.424 0.000 -0.313
S4 1.424 0.000 -0.313

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.84742.10832.1083
S22.84742.10832.1083
S32.10832.10832.8474
S42.10832.10832.8474

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 47.524 S1 S3 S4 47.524
S2 S1 S3 47.524 S2 S4 S3 47.524
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/Def2TZVPP 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 -48.472 0.000 0.000
y 0.000 -48.472 0.000
z 0.000 0.000 -53.889
Traceless
 xyz
x 2.708 0.000 0.000
y 0.000 2.708 0.000
z 0.000 0.000 -5.417
Polar
3z2-r2-10.834
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 11.291 0.000 0.000
y 0.000 11.291 0.000
z 0.000 0.000 6.581


<r2> (average value of r2) Å2
<r2> 167.378
(<r2>)1/2 12.937

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3PW91/Def2TZVPP
 hartrees
Energy at 0K-1592.678087
Energy at 298.15K 
HF Energy-1592.678087
Nuclear repulsion energy333.985439
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 B3PW91/Def2TZVPP
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 699 699 6.98 24.80 0.16 0.27
2 A1 396 396 5.07 38.53 0.19 0.32
3 A1 112 112 0.36 9.95 0.45 0.62
4 A2 219 219 0.00 0.10 0.75 0.86
5 B2 671 671 118.15 3.77 0.75 0.86
6 B2 342 342 0.17 11.29 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1219.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1219.3 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 B3PW91/Def2TZVPP
ABC
0.15915 0.07227 0.04970

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.047 0.910
S2 0.000 -1.047 0.910
S3 0.000 1.598 -0.910
S4 0.000 -1.598 -0.910

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.09341.90173.2102
S22.09343.21021.9017
S31.90173.21023.1951
S43.21021.90173.1951

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 106.838 S1 S3 S4 73.162
S2 S1 S3 106.838 S2 S4 S3 73.162
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.134      
2 S 0.134      
3 S -0.134      
4 S -0.134      


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 1.403 1.403
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.839 0.000 0.000
y 0.000 -52.846 0.000
z 0.000 0.000 -48.131
Traceless
 xyz
x -0.350 0.000 0.000
y 0.000 -3.362 0.000
z 0.000 0.000 3.711
Polar
3z2-r27.423
x2-y22.008
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.723 0.000 0.000
y 0.000 18.132 0.000
z 0.000 0.000 11.787


<r2> (average value of r2) Å2
<r2> 201.344
(<r2>)1/2 14.190

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3PW91/Def2TZVPP
 hartrees
Energy at 0K-1592.671951
Energy at 298.15K 
HF Energy-1592.671951
Nuclear repulsion energy338.189938
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 B3PW91/Def2TZVPP
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 749 749 0.00 32.30 0.20 0.34
2 Ag 301 301 0.00 35.12 0.24 0.39
3 Au 257 257 0.00 0.00 0.00 0.00
4 B1u 690 690 119.98 0.00 0.00 0.00
5 B2u 154i 154i 16.90 0.00 0.00 0.00
6 B3g 348 348 0.00 12.86 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1094.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1094.8 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 B3PW91/Def2TZVPP
ABC
0.14850 0.08383 0.05358

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/Def2TZVPP

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.942 1.254
S2 0.000 0.942 -1.254
S3 0.000 -0.942 1.254
S4 0.000 -0.942 -1.254

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.50801.88433.1369
S22.50803.13691.8843
S31.88433.13692.5080
S43.13691.88432.5080

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 B3PW91/Def2TZVPP 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 -51.179 0.000 0.000
y 0.000 -47.421 0.000
z 0.000 0.000 -52.437
Traceless
 xyz
x -1.250 0.000 0.000
y 0.000 4.387 0.000
z 0.000 0.000 -3.137
Polar
3z2-r2-6.275
x2-y2-3.758
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.700 0.000 0.000
y 0.000 12.301 0.000
z 0.000 0.000 17.123


<r2> (average value of r2) Å2
<r2> 188.891
(<r2>)1/2 13.744