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

using model chemistry: wB97X-D/CEP-121G

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 wB97X-D/CEP-121G
 hartrees
Energy at 0K-40.439824
Energy at 298.15K 
HF Energy-40.439824
Nuclear repulsion energy45.548506
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 wB97X-D/CEP-121G
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 478 478 0.00 71.80 0.07 0.14
2 A1 163 163 0.00 6.35 0.75 0.86
3 B1 412 412 0.00 43.68 0.75 0.86
4 B2 286 286 0.32 13.34 0.75 0.86
5 E 403 403 0.01 11.08 0.75 0.86
5 E 403 403 0.01 11.08 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1072.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1072.9 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 wB97X-D/CEP-121G
ABC
0.10051 0.10051 0.05476

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.552 0.328
S2 0.000 -1.552 0.328
S3 -1.552 0.000 -0.328
S4 1.552 0.000 -0.328

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S13.10302.29042.2904
S23.10302.29042.2904
S32.29042.29043.1030
S42.29042.29043.1030

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 47.359 S1 S3 S4 47.359
S2 S1 S3 47.359 S2 S4 S3 47.359
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-121G 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 -48.570 0.000 0.000
y 0.000 -48.570 0.000
z 0.000 0.000 -53.338
Traceless
 xyz
x 2.384 0.000 0.000
y 0.000 2.384 0.000
z 0.000 0.000 -4.767
Polar
3z2-r2-9.535
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 12.720 0.000 0.000
y 0.000 12.720 0.000
z 0.000 0.000 5.088


<r2> (average value of r2) Å2
<r2> 91.691
(<r2>)1/2 9.576

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at wB97X-D/CEP-121G
 hartrees
Energy at 0K-40.441630
Energy at 298.15K 
HF Energy-40.441630
Nuclear repulsion energy43.826128
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 wB97X-D/CEP-121G
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 602 602 0.06 45.67 0.21 0.34
2 A1 318 318 5.15 41.29 0.25 0.40
3 A1 125 125 4.98 9.60 0.52 0.69
4 A2 189 189 0.00 0.17 0.75 0.86
5 B2 586 586 109.69 1.56 0.75 0.86
6 B2 282 282 0.00 21.33 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1051.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1051.2 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 wB97X-D/CEP-121G
ABC
0.12926 0.06821 0.04465

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.169 1.010
S2 0.000 -1.169 1.010
S3 0.000 1.581 -1.010
S4 0.000 -1.581 -1.010

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.33792.06123.4117
S22.33793.41172.0612
S32.06123.41173.1614
S43.41172.06123.1614

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 101.523 S1 S3 S4 78.477
S2 S1 S3 101.523 S2 S4 S3 78.477
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.059      
2 S 0.059      
3 S -0.059      
4 S -0.059      


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 1.325 1.325
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.676 0.000 0.000
y 0.000 -53.142 0.000
z 0.000 0.000 -49.191
Traceless
 xyz
x 1.490 0.000 0.000
y 0.000 -3.708 0.000
z 0.000 0.000 2.218
Polar
3z2-r24.435
x2-y23.465
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.840 0.000 0.000
y 0.000 19.923 0.000
z 0.000 0.000 13.190


<r2> (average value of r2) Å2
<r2> 102.504
(<r2>)1/2 10.124

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at wB97X-D/CEP-121G
 hartrees
Energy at 0K-40.440222
Energy at 298.15K 
HF Energy-40.440222
Nuclear repulsion energy44.193099
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 wB97X-D/CEP-121G
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 656 656 0.00 48.39 0.25 0.40
2 Ag 291 291 0.00 44.04 0.29 0.45
3 Au 211 211 0.00 0.00 0.00 0.00
4 B1u 622 622 121.47 0.00 0.00 0.00
5 B2u 69i 69i 19.04 0.00 0.00 0.00
6 B3g 284 284 0.00 22.73 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 997.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 997.7 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 wB97X-D/CEP-121G
ABC
0.12631 0.07356 0.04649

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.022 1.339
S2 0.000 1.022 -1.339
S3 0.000 -1.022 1.339
S4 0.000 -1.022 -1.339

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.67722.04323.3678
S22.67723.36782.0432
S32.04323.36782.6772
S43.36782.04322.6772

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 wB97X-D/CEP-121G 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 -49.833 0.000 0.000
y 0.000 -48.948 0.000
z 0.000 0.000 -52.738
Traceless
 xyz
x 1.010 0.000 0.000
y 0.000 2.337 0.000
z 0.000 0.000 -3.348
Polar
3z2-r2-6.695
x2-y2-0.885
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 13.545 0.000
z 0.000 0.000 19.028


<r2> (average value of r2) Å2
<r2> 99.596
(<r2>)1/2 9.980