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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-1592.721986
Energy at 298.15K 
HF Energy-1592.721986
Nuclear repulsion energy323.897032
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 461 440 0.00 55.77 0.07 0.12
2 A1 164 156 0.00 7.67 0.75 0.86
3 B1 372 355 0.00 35.44 0.75 0.86
4 B2 273 261 0.38 15.13 0.75 0.86
5 E 370 353 0.10 10.15 0.75 0.86
5 E 370 353 0.10 10.15 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1005.1 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 958.6 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 B1B95/6-31G
ABC
0.10013 0.10013 0.05531

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 1.544 0.353
S2 0.000 -1.544 0.353
S3 -1.544 0.000 -0.353
S4 1.544 0.000 -0.353

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S13.08762.29472.2947
S23.08762.29472.2947
S32.29472.29473.0876
S42.29472.29473.0876

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 47.719 S1 S3 S4 47.719
S2 S1 S3 47.719 S2 S4 S3 47.719
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 -51.439 0.000 0.000
y 0.000 -51.439 0.000
z 0.000 0.000 -55.968
Traceless
 xyz
x 2.265 0.000 0.000
y 0.000 2.265 0.000
z 0.000 0.000 -4.529
Polar
3z2-r2-9.059
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 12.311 0.000 0.000
y 0.000 12.311 0.000
z 0.000 0.000 4.721


<r2> (average value of r2) Å2
<r2> 193.584
(<r2>)1/2 13.913

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B1B95/6-31G
 hartrees
Energy at 0K-1592.736640
Energy at 298.15K 
HF Energy-1592.736640
Nuclear repulsion energy313.180424
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 616 587 0.01 38.59 0.27 0.42
2 A1 283 270 1.78 33.23 0.27 0.42
3 A1 56 53 8.25 1.97 0.57 0.73
4 A2 195 186 0.00 0.02 0.75 0.86
5 B2 588 561 95.25 0.42 0.75 0.86
6 B2 271 258 0.03 21.03 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1003.9 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 957.4 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 B1B95/6-31G
ABC
0.12827 0.07098 0.04570

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 1.249 1.014
S2 0.000 -1.249 1.014
S3 0.000 1.468 -1.014
S4 0.000 -1.468 -1.014

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.49702.03933.3897
S22.49703.38972.0393
S32.03933.38972.9361
S43.38972.03932.9361

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 96.180 S1 S3 S4 83.820
S2 S1 S3 96.180 S2 S4 S3 83.820
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 0.022      
2 S 0.022      
3 S -0.022      
4 S -0.022      


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 0.621 0.621
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.574 0.000 0.000
y 0.000 -54.988 0.000
z 0.000 0.000 -51.940
Traceless
 xyz
x 0.890 0.000 0.000
y 0.000 -2.731 0.000
z 0.000 0.000 1.841
Polar
3z2-r23.683
x2-y22.414
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.325 0.000 0.000
y 0.000 17.905 0.000
z 0.000 0.000 12.978


<r2> (average value of r2) Å2
<r2> 217.824
(<r2>)1/2 14.759

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B1B95/6-31G
 hartrees
Energy at 0K-1592.736611
Energy at 298.15K 
HF Energy-1592.736611
Nuclear repulsion energy313.984438
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 627 598 0.00 39.63 0.28 0.44
2 Ag 282 269 0.00 33.69 0.28 0.43
3 Au 201 192 0.00 0.00 0.00 0.00
4 B1u 593 565 98.97 0.00 0.00 0.00
5 B2u 29 28 11.71 0.00 0.00 0.00
6 B3g 270 258 0.00 21.35 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1001.1 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 954.7 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
0.12735 0.07266 0.04626

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 1.017 1.347
S2 0.000 1.017 -1.347
S3 0.000 -1.017 1.347
S4 0.000 -1.017 -1.347

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.69392.03483.3760
S22.69393.37602.0348
S32.03483.37602.6939
S43.37602.03482.6939

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 -52.619 0.000 0.000
y 0.000 -51.880 0.000
z 0.000 0.000 -54.878
Traceless
 xyz
x 0.760 0.000 0.000
y 0.000 1.868 0.000
z 0.000 0.000 -2.628
Polar
3z2-r2-5.257
x2-y2-0.739
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.322 0.000 0.000
y 0.000 13.081 0.000
z 0.000 0.000 17.680


<r2> (average value of r2) Å2
<r2> 215.538
(<r2>)1/2 14.681