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

using model chemistry: B3PW91/cc-pCVTZ

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/cc-pCVTZ
 hartrees
Energy at 0K-1592.685776
Energy at 298.15K 
HF Energy-1592.685776
Nuclear repulsion energy351.981667
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/cc-pCVTZ
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 531 531 0.00      
2 A1 205 205 0.00      
3 B1 470 470 0.00      
4 B2 298 298 0.00      
5 E 440 440 0.00      
5 E 440 440 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1192.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1192.0 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 B3PW91/cc-pCVTZ
ABC
0.11851 0.11851 0.06493

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.425 0.312
S2 0.000 -1.425 0.312
S3 -1.425 0.000 -0.312
S4 1.425 0.000 -0.312

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.84962.10932.1093
S22.84962.10932.1093
S32.10932.10932.8496
S42.10932.10932.8496

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 47.507 S1 S3 S4 47.507
S2 S1 S3 47.507 S2 S4 S3 47.507
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pCVTZ 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 -48.468 0.000 0.000
y 0.000 -48.468 0.000
z 0.000 0.000 -53.905
Traceless
 xyz
x 2.718 0.000 0.000
y 0.000 2.718 0.000
z 0.000 0.000 -5.437
Polar
3z2-r2-10.873
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 11.352 0.000 0.000
y 0.000 11.352 0.000
z 0.000 0.000 6.755


<r2> (average value of r2) Å2
<r2> 167.551
(<r2>)1/2 12.944

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3PW91/cc-pCVTZ
 hartrees
Energy at 0K-1592.713136
Energy at 298.15K 
HF Energy-1592.713136
Nuclear repulsion energy333.587115
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/cc-pCVTZ
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 6.83      
2 A1 397 397 4.94      
3 A1 111 111 0.31      
4 A2 218 218 0.00      
5 B2 670 670 117.20      
6 B2 341 341 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 1218.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1218.0 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 B3PW91/cc-pCVTZ
ABC
0.15913 0.07193 0.04954

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

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 1.603 -0.910
S4 0.000 -1.603 -0.910

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.09431.90323.2148
S22.09433.21481.9032
S31.90323.21483.2053
S43.21481.90323.2053

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 106.971 S1 S3 S4 73.029
S2 S1 S3 106.971 S2 S4 S3 73.029
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.132      
2 S 0.132      
3 S -0.132      
4 S -0.132      


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 1.392 1.392
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.833 0.000 0.000
y 0.000 -52.788 0.000
z 0.000 0.000 -48.232
Traceless
 xyz
x -0.324 0.000 0.000
y 0.000 -3.255 0.000
z 0.000 0.000 3.579
Polar
3z2-r27.158
x2-y21.954
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.942 0.000 0.000
y 0.000 18.267 0.000
z 0.000 0.000 11.833


<r2> (average value of r2) Å2
<r2> 201.914
(<r2>)1/2 14.210

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3PW91/cc-pCVTZ
 hartrees
Energy at 0K-1592.706891
Energy at 298.15K 
HF Energy-1592.706891
Nuclear repulsion energy337.986429
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/cc-pCVTZ
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 748 748 0.00      
2 Ag 300 300 0.00      
3 Au 256 256 0.00      
4 B1u 689 689 119.20      
5 B2u 155i 155i 16.63      
6 B3g 347 347 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1092.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1092.9 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 B3PW91/cc-pCVTZ
ABC
0.14828 0.08375 0.05352

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.943 1.255
S2 0.000 0.943 -1.255
S3 0.000 -0.943 1.255
S4 0.000 -0.943 -1.255

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.50911.88573.1387
S22.50913.13871.8857
S31.88573.13872.5091
S43.13871.88572.5091

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/cc-pCVTZ 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 -51.165 0.000 0.000
y 0.000 -47.503 0.000
z 0.000 0.000 -52.443
Traceless
 xyz
x -1.191 0.000 0.000
y 0.000 4.301 0.000
z 0.000 0.000 -3.110
Polar
3z2-r2-6.219
x2-y2-3.662
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.923 0.000 0.000
y 0.000 12.347 0.000
z 0.000 0.000 17.196


<r2> (average value of r2) Å2
<r2> 189.082
(<r2>)1/2 13.751