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

using model chemistry: B3PW91/6-311G*

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 B3PW91/6-311G*
 hartrees
Energy at 0K-1592.599429
Energy at 298.15K 
HF Energy-1592.599429
Nuclear repulsion energy346.460963
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 B3PW91/6-311G*
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 503 485 0.00      
2 A1 196 189 0.00      
3 B1 430 414 0.00      
4 B2 300 289 0.07      
5 E 413 398 0.15      
5 E 413 398 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 1127.9 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 1085.8 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 B3PW91/6-311G*
ABC
0.11475 0.11475 0.06302

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.446 0.321
S2 0.000 -1.446 0.321
S3 -1.446 0.000 -0.321
S4 1.446 0.000 -0.321

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89242.14362.1436
S22.89242.14362.1436
S32.14362.14362.8924
S42.14362.14362.8924

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 47.571 S1 S3 S4 47.571
S2 S1 S3 47.571 S2 S4 S3 47.571
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* 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 -50.290 0.000 0.000
y 0.000 -50.290 0.000
z 0.000 0.000 -55.544
Traceless
 xyz
x 2.627 0.000 0.000
y 0.000 2.627 0.000
z 0.000 0.000 -5.253
Polar
3z2-r2-10.507
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 10.781 0.000 0.000
y 0.000 10.781 0.000
z 0.000 0.000 5.597


<r2> (average value of r2) Å2
<r2> 172.954
(<r2>)1/2 13.151

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-1592.628144
Energy at 298.15K 
HF Energy-1592.628144
Nuclear repulsion energy329.155949
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 B3PW91/6-311G*
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 673 648 2.65      
2 A1 322 310 8.21      
3 A1 87 84 2.36      
4 A2 216 207 0.00      
5 B2 645 621 149.68      
6 B2 329 316 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1135.3 cm-1
Scaled (by 0.9627) 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 B3PW91/6-311G*
ABC
0.15230 0.07172 0.04876

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.098 0.930
S2 0.000 -1.098 0.930
S3 0.000 1.572 -0.930
S4 0.000 -1.572 -0.930

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.19631.91993.2542
S22.19633.25421.9199
S31.91993.25423.1433
S43.25421.91993.1433

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 104.277 S1 S3 S4 75.723
S2 S1 S3 104.277 S2 S4 S3 75.723
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.113      
2 S 0.113      
3 S -0.113      
4 S -0.113      


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 1.576 1.576
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.234 0.000 0.000
y 0.000 -55.164 0.000
z 0.000 0.000 -50.307
Traceless
 xyz
x 0.501 0.000 0.000
y 0.000 -3.893 0.000
z 0.000 0.000 3.392
Polar
3z2-r26.785
x2-y22.929
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.493 0.000 0.000
y 0.000 18.984 0.000
z 0.000 0.000 11.812


<r2> (average value of r2) Å2
<r2> 205.856
(<r2>)1/2 14.348

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-1592.626468
Energy at 298.15K 
HF Energy-1592.626468
Nuclear repulsion energy332.263439
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 B3PW91/6-311G*
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 717 691 0.00      
2 Ag 287 276 0.00      
3 Au 244 235 0.00      
4 B1u 669 644 155.10      
5 B2u 88i 84i 23.56      
6 B3g 331 319 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1079.9 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 1039.7 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 B3PW91/6-311G*
ABC
0.14532 0.07973 0.05148

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.952 1.286
S2 0.000 0.952 -1.286
S3 0.000 -0.952 1.286
S4 0.000 -0.952 -1.286

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.57161.90483.2002
S22.57163.20021.9048
S31.90483.20022.5716
S43.20021.90482.5716

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 B3PW91/6-311G* 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 -52.521 0.000 0.000
y 0.000 -49.731 0.000
z 0.000 0.000 -54.617
Traceless
 xyz
x -0.347 0.000 0.000
y 0.000 3.837 0.000
z 0.000 0.000 -3.490
Polar
3z2-r2-6.981
x2-y2-2.790
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.471 0.000 0.000
y 0.000 12.241 0.000
z 0.000 0.000 18.220


<r2> (average value of r2) Å2
<r2> 196.519
(<r2>)1/2 14.019