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

using model chemistry: B1B95/6-311G*

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 B1B95/6-311G*
 hartrees
Energy at 0K-1592.935520
Energy at 298.15K 
HF Energy-1592.935520
Nuclear repulsion energy349.461478
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 B1B95/6-311G*
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 517 496 0.00 51.86 0.07 0.14
2 A1 204 196 0.00 3.47 0.69 0.82
3 B1 443 424 0.00 36.85 0.75 0.86
4 B2 304 292 0.09 9.61 0.75 0.86
5 E 430 412 0.10 7.95 0.75 0.86
5 E 430 412 0.10 7.95 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1163.6 cm-1
Scaled (by 0.9586) Zero Point Vibrational Energy (zpe) 1115.4 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 B1B95/6-311G*
ABC
0.11650 0.11650 0.06448

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.430 0.331
S2 0.000 -1.430 0.331
S3 -1.430 0.000 -0.331
S4 1.430 0.000 -0.331

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.85962.12742.1274
S22.85962.12742.1274
S32.12742.12742.8596
S42.12742.12742.8596

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 47.771 S1 S3 S4 47.771
S2 S1 S3 47.771 S2 S4 S3 47.771
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-311G* 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 -50.238 0.000 0.000
y 0.000 -50.238 0.000
z 0.000 0.000 -55.293
Traceless
 xyz
x 2.528 0.000 0.000
y 0.000 2.528 0.000
z 0.000 0.000 -5.056
Polar
3z2-r2-10.111
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 10.590 0.000 0.000
y 0.000 10.590 0.000
z 0.000 0.000 5.657


<r2> (average value of r2) Å2
<r2> 170.262
(<r2>)1/2 13.048

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B1B95/6-311G*
 hartrees
Energy at 0K-1592.959473
Energy at 298.15K 
HF Energy-1592.959473
Nuclear repulsion energy331.655231
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 B1B95/6-311G*
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 682 654 3.11 33.39 0.23 0.37
2 A1 341 327 8.54 39.68 0.24 0.39
3 A1 88 85 1.86 9.01 0.48 0.64
4 A2 218 209 0.00 0.19 0.75 0.86
5 B2 653 626 160.03 3.83 0.75 0.86
6 B2 333 319 0.01 13.61 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1157.6 cm-1
Scaled (by 0.9586) Zero Point Vibrational Energy (zpe) 1109.7 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 B1B95/6-311G*
ABC
0.15465 0.07266 0.04943

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.079 0.923
S2 0.000 -1.079 0.923
S3 0.000 1.570 -0.923
S4 0.000 -1.570 -0.923

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.15761.91063.2287
S22.15763.22871.9106
S31.91063.22873.1397
S43.22871.91063.1397

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 104.893 S1 S3 S4 75.107
S2 S1 S3 104.893 S2 S4 S3 75.107
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.120      
2 S 0.120      
3 S -0.120      
4 S -0.120      


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 1.671 1.671
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.101 0.000 0.000
y 0.000 -55.160 0.000
z 0.000 0.000 -50.268
Traceless
 xyz
x 0.613 0.000 0.000
y 0.000 -3.975 0.000
z 0.000 0.000 3.362
Polar
3z2-r26.725
x2-y23.059
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.503 0.000 0.000
y 0.000 18.908 0.000
z 0.000 0.000 11.618


<r2> (average value of r2) Å2
<r2> 203.452
(<r2>)1/2 14.264

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B1B95/6-311G*
 hartrees
Energy at 0K-1592.957010
Energy at 298.15K 
HF Energy-1592.957010
Nuclear repulsion energy334.767887
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 B1B95/6-311G*
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 735 704 0.00 40.95 0.27 0.42
2 Ag 295 282 0.00 37.22 0.29 0.45
3 Au 249 239 0.00 0.00 0.00 0.00
4 B1u 684 655 168.76 0.00 0.00 0.00
5 B2u 95i 92i 25.67 0.00 0.00 0.00
6 B3g 333 319 0.00 15.01 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1099.6 cm-1
Scaled (by 0.9586) Zero Point Vibrational Energy (zpe) 1054.1 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 B1B95/6-311G*
ABC
0.14711 0.08118 0.05231

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.947 1.274
S2 0.000 0.947 -1.274
S3 0.000 -0.947 1.274
S4 0.000 -0.947 -1.274

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.54851.89323.1747
S22.54853.17471.8932
S31.89323.17472.5485
S43.17471.89322.5485

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 B1B95/6-311G* 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 -52.423 0.000 0.000
y 0.000 -49.671 0.000
z 0.000 0.000 -54.534
Traceless
 xyz
x -0.321 0.000 0.000
y 0.000 3.807 0.000
z 0.000 0.000 -3.487
Polar
3z2-r2-6.974
x2-y2-2.752
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.484 0.000 0.000
y 0.000 12.085 0.000
z 0.000 0.000 18.121


<r2> (average value of r2) Å2
<r2> 193.872
(<r2>)1/2 13.924