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

using model chemistry: B1B95/6-31G*

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 B1B95/6-31G*
 hartrees
Energy at 0K-1592.834163
Energy at 298.15K 
HF Energy-1592.834163
Nuclear repulsion energy350.213979
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 B1B95/6-31G*
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 518 492 0.00 51.11 0.07 0.12
2 A1 204 194 0.00 2.84 0.75 0.86
3 B1 452 429 0.00 34.98 0.75 0.86
4 B2 310 294 0.45 11.21 0.75 0.86
5 E 436 414 0.09 7.43 0.75 0.86
5 E 436 414 0.09 7.43 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1177.5 cm-1
Scaled (by 0.9493) Zero Point Vibrational Energy (zpe) 1117.8 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 B1B95/6-31G*
ABC
0.11717 0.11717 0.06451

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.429 0.321
S2 0.000 -1.429 0.321
S3 -1.429 0.000 -0.321
S4 1.429 0.000 -0.321

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.85892.12132.1213
S22.85892.12132.1213
S32.12132.12132.8589
S42.12132.12132.8589

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 47.634 S1 S3 S4 47.634
S2 S1 S3 47.634 S2 S4 S3 47.634
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G* 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 -49.594 0.000 0.000
y 0.000 -49.594 0.000
z 0.000 0.000 -54.696
Traceless
 xyz
x 2.551 0.000 0.000
y 0.000 2.551 0.000
z 0.000 0.000 -5.102
Polar
3z2-r2-10.203
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 10.260 0.000 0.000
y 0.000 10.260 0.000
z 0.000 0.000 5.369


<r2> (average value of r2) Å2
<r2> 169.425
(<r2>)1/2 13.016

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B1B95/6-31G*
 hartrees
Energy at 0K-1592.862681
Energy at 298.15K 
HF Energy-1592.862681
Nuclear repulsion energy331.301460
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 B1B95/6-31G*
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 693 658 2.79 30.45 0.23 0.37
2 A1 361 343 7.43 35.32 0.23 0.37
3 A1 109 103 0.90 10.36 0.49 0.66
4 A2 215 204 0.00 0.22 0.75 0.86
5 B2 668 634 135.55 2.78 0.75 0.86
6 B2 335 318 0.05 15.10 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1190.8 cm-1
Scaled (by 0.9493) Zero Point Vibrational Energy (zpe) 1130.5 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 B1B95/6-31G*
ABC
0.15604 0.07152 0.04904

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.066 0.919
S2 0.000 -1.066 0.919
S3 0.000 1.597 -0.919
S4 0.000 -1.597 -0.919

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.13251.91323.2357
S22.13253.23571.9132
S31.91323.23573.1931
S43.23571.91323.1931

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 106.092 S1 S3 S4 73.908
S2 S1 S3 106.092 S2 S4 S3 73.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.101      
2 S 0.101      
3 S -0.101      
4 S -0.101      


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 1.553 1.553
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.261 0.000 0.000
y 0.000 -53.964 0.000
z 0.000 0.000 -49.676
Traceless
 xyz
x 0.559 0.000 0.000
y 0.000 -3.495 0.000
z 0.000 0.000 2.936
Polar
3z2-r25.872
x2-y22.703
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.335 0.000 0.000
y 0.000 17.648 0.000
z 0.000 0.000 11.048


<r2> (average value of r2) Å2
<r2> 204.264
(<r2>)1/2 14.292

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B1B95/6-31G*
 hartrees
Energy at 0K-1592.859272
Energy at 298.15K 
HF Energy-1592.859272
Nuclear repulsion energy334.170858
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 B1B95/6-31G*
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 746 708 0.00 38.07 0.28 0.44
2 Ag 290 276 0.00 34.38 0.29 0.44
3 Au 248 236 0.00 0.00 0.00 0.00
4 B1u 695 660 149.60 0.00 0.00 0.00
5 B2u 100i 95i 19.43 0.00 0.00 0.00
6 B3g 335 318 0.00 17.29 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1107.0 cm-1
Scaled (by 0.9493) Zero Point Vibrational Energy (zpe) 1050.9 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 B1B95/6-31G*
ABC
0.14669 0.08083 0.05211

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.948 1.277
S2 0.000 0.948 -1.277
S3 0.000 -0.948 1.277
S4 0.000 -0.948 -1.277

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.55401.89593.1808
S22.55403.18081.8959
S31.89593.18082.5540
S43.18081.89592.5540

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 B1B95/6-31G* 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 -51.639 0.000 0.000
y 0.000 -49.052 0.000
z 0.000 0.000 -53.579
Traceless
 xyz
x -0.324 0.000 0.000
y 0.000 3.557 0.000
z 0.000 0.000 -3.234
Polar
3z2-r2-6.467
x2-y2-2.587
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.295 0.000 0.000
y 0.000 11.616 0.000
z 0.000 0.000 16.738


<r2> (average value of r2) Å2
<r2> 193.998
(<r2>)1/2 13.928