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

using model chemistry: B1B95/3-21G*

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 B1B95/3-21G*
 hartrees
Energy at 0K-1585.424362
Energy at 298.15K 
HF Energy-1585.424362
Nuclear repulsion energy349.795749
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 B1B95/3-21G*
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 496 473 0.00 47.13 0.06 0.12
2 A1 203 193 0.00 3.61 0.75 0.86
3 B1 422 403 0.00 31.51 0.75 0.86
4 B2 316 301 0.55 12.28 0.75 0.86
5 E 403 385 0.10 7.35 0.75 0.86
5 E 403 385 0.10 7.35 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1120.7 cm-1
Scaled (by 0.9549) Zero Point Vibrational Energy (zpe) 1070.1 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 B1B95/3-21G*
ABC
0.11686 0.11686 0.06440

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.431 0.323
S2 0.000 -1.431 0.323
S3 -1.431 0.000 -0.323
S4 1.431 0.000 -0.323

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86142.12412.1241
S22.86142.12412.1241
S32.12412.12412.8614
S42.12412.12412.8614

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 47.657 S1 S3 S4 47.657
S2 S1 S3 47.657 S2 S4 S3 47.657
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G* 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 -50.018 0.000 0.000
y 0.000 -50.018 0.000
z 0.000 0.000 -55.097
Traceless
 xyz
x 2.539 0.000 0.000
y 0.000 2.539 0.000
z 0.000 0.000 -5.079
Polar
3z2-r2-10.158
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 9.978 0.000 0.000
y 0.000 9.978 0.000
z 0.000 0.000 4.850


<r2> (average value of r2) Å2
<r2> 169.989
(<r2>)1/2 13.038

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B1B95/3-21G*
 hartrees
Energy at 0K-1585.460012
Energy at 298.15K 
HF Energy-1585.460012
Nuclear repulsion energy334.098321
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 B1B95/3-21G*
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 716 684 2.05 29.19 0.25 0.39
2 A1 302 289 6.17 36.17 0.25 0.40
3 A1 102 97 4.12 3.84 0.64 0.78
4 A2 230 220 0.00 0.10 0.75 0.86
5 B2 683 652 132.08 1.69 0.75 0.86
6 B2 346 330 0.01 15.79 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1189.7 cm-1
Scaled (by 0.9549) Zero Point Vibrational Energy (zpe) 1136.0 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 B1B95/3-21G*
ABC
0.15462 0.07513 0.05056

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.091 0.923
S2 0.000 -1.091 0.923
S3 0.000 1.523 -0.923
S4 0.000 -1.523 -0.923

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.18171.89653.2002
S22.18173.20021.8965
S31.89653.20023.0457
S43.20021.89653.0457

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 103.167 S1 S3 S4 76.833
S2 S1 S3 103.167 S2 S4 S3 76.833
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.074      
2 S 0.074      
3 S -0.074      
4 S -0.074      


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 1.274 1.274
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.611 0.000 0.000
y 0.000 -53.952 0.000
z 0.000 0.000 -49.804
Traceless
 xyz
x 0.267 0.000 0.000
y 0.000 -3.244 0.000
z 0.000 0.000 2.977
Polar
3z2-r25.955
x2-y22.341
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.878 0.000 0.000
y 0.000 16.324 0.000
z 0.000 0.000 10.738


<r2> (average value of r2) Å2
<r2> 199.195
(<r2>)1/2 14.114

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B1B95/3-21G*
 hartrees
Energy at 0K-1585.459105
Energy at 298.15K 
HF Energy-1585.459105
Nuclear repulsion energy334.072164
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 B1B95/3-21G*
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 757 723 0.00 33.74 0.29 0.45
2 Ag 295 282 0.00 33.32 0.28 0.44
3 Au 250 239 0.00 0.00 0.00 0.00
4 B1u 705 673 146.41 0.00 0.00 0.00
5 B2u 39i 37i 14.94 0.00 0.00 0.00
6 B3g 341 326 0.00 17.36 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1154.7 cm-1
Scaled (by 0.9549) Zero Point Vibrational Energy (zpe) 1102.6 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 B1B95/3-21G*
ABC
0.14839 0.07973 0.05187

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.942 1.286
S2 0.000 0.942 -1.286
S3 0.000 -0.942 1.286
S4 0.000 -0.942 -1.286

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.57151.88503.1884
S22.57153.18841.8850
S31.88503.18842.5715
S43.18841.88502.5715

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 B1B95/3-21G* 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 -51.898 0.000 0.000
y 0.000 -49.423 0.000
z 0.000 0.000 -53.505
Traceless
 xyz
x -0.434 0.000 0.000
y 0.000 3.279 0.000
z 0.000 0.000 -2.845
Polar
3z2-r2-5.690
x2-y2-2.475
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.837 0.000 0.000
y 0.000 11.173 0.000
z 0.000 0.000 16.004


<r2> (average value of r2) Å2
<r2> 194.888
(<r2>)1/2 13.960