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

using model chemistry: B2PLYP=FULLultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
1 2 no C2V 1A1
1 3 no D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-1592.356214
Energy at 298.15K 
HF Energy-1592.075412
Nuclear repulsion energy349.057970
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 B2PLYP=FULLultrafine/aug-cc-pVTZ
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 516 495 0.00 42.66 0.04 0.08
2 A1 203 195 0.00 1.13 0.72 0.83
3 B1 454 436 0.00 17.17 0.75 0.86
4 B2 302 289 0.03 6.91 0.75 0.86
5 E 427 410 0.00 3.25 0.75 0.86
5 E 427 410 0.00 3.25 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1164.6 cm-1
Scaled (by 0.9591) Zero Point Vibrational Energy (zpe) 1117.0 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 B2PLYP=FULLultrafine/aug-cc-pVTZ
ABC
0.11650 0.11650 0.06393

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.436 0.317
S2 0.000 -1.436 0.317
S3 -1.436 0.000 -0.317
S4 1.436 0.000 -0.317

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87182.12742.1274
S22.87182.12742.1274
S32.12742.12742.8718
S42.12742.12742.8718

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 47.549 S1 S3 S4 47.549
S2 S1 S3 47.549 S2 S4 S3 47.549
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/aug-cc-pVTZ 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 -49.473 0.000 0.000
y 0.000 -49.445 0.000
z 0.000 0.000 -55.025
Traceless
 xyz
x 2.762 0.000 0.000
y 0.000 2.805 0.000
z 0.000 0.000 -5.567
Polar
3z2-r2-11.133
x2-y2-0.028
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.970 0.000 0.000
y 0.000 12.969 0.000
z 0.000 0.000 9.144


<r2> (average value of r2) Å2
<r2> 170.441
(<r2>)1/2 13.055

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-1592.393695
Energy at 298.15K 
HF Energy-1592.063222
Nuclear repulsion energy329.944997
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 B2PLYP=FULLultrafine/aug-cc-pVTZ
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 692 663 0.00 41.65 0.08 0.14
2 A1 249 239 0.00 6.52 0.72 0.84
3 A1 109 105 7.49 0.00 0.49 0.66
4 A2 231 222 0.00 0.00 0.75 0.86
5 B2 674 646 39.58 0.00 0.75 0.86
6 B2 317 304 0.00 7.62 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1135.3 cm-1
Scaled (by 0.9591) Zero Point Vibrational Energy (zpe) 1088.9 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 B2PLYP=FULLultrafine/aug-cc-pVTZ
ABC
0.14395 0.07824 0.05069

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.298 0.957
S2 0.000 -1.298 0.957
S3 0.000 1.298 -0.957
S4 0.000 -1.298 -0.957

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59541.91383.2252
S22.59543.22521.9138
S31.91383.22522.5966
S43.22521.91382.5966

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 90.018 S1 S3 S4 89.982
S2 S1 S3 90.018 S2 S4 S3 89.982
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/aug-cc-pVTZ 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 0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.252 0.000 0.000
y 0.000 -53.343 0.000
z 0.000 0.000 -48.450
Traceless
 xyz
x -1.356 0.000 0.000
y 0.000 -2.992 0.000
z 0.000 0.000 4.348
Polar
3z2-r28.696
x2-y21.091
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.360 0.000 0.000
y 0.000 17.512 0.000
z 0.000 0.000 13.990


<r2> (average value of r2) Å2
<r2> 198.500
(<r2>)1/2 14.089

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-1592.393695
Energy at 298.15K 
HF Energy-1592.063215
Nuclear repulsion energy329.935608
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 B2PLYP=FULLultrafine/aug-cc-pVTZ
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 692 663 0.00 41.65 0.08 0.14
2 Ag 249 239 0.00 6.53 0.72 0.84
3 Au 231 222 0.00 0.00 0.00 0.00
4 B1u 674 646 39.56 0.00 0.52 0.69
5 B2u 109 105 7.49 0.00 0.49 0.66
6 B3g 317 304 0.00 7.62 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1135.2 cm-1
Scaled (by 0.9591) Zero Point Vibrational Energy (zpe) 1088.8 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 B2PLYP=FULLultrafine/aug-cc-pVTZ
ABC
0.14394 0.07824 0.05069

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.957 1.298
S2 0.000 0.957 -1.298
S3 0.000 -0.957 1.298
S4 0.000 -0.957 -1.298

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59601.91393.2253
S22.59603.22531.9139
S31.91393.22532.5960
S43.22531.91392.5960

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