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

using model chemistry: PBE1PBE/Def2TZVPP

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 PBE1PBE/Def2TZVPP
 hartrees
Energy at 0K-1592.239181
Energy at 298.15K 
HF Energy-1592.239181
Nuclear repulsion energy353.850516
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 PBE1PBE/Def2TZVPP
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 544 544 0.00 36.37 0.04 0.09
2 A1 211 211 0.00 2.35 0.74 0.85
3 B1 483 483 0.00 15.89 0.75 0.86
4 B2 303 303 0.00 7.94 0.75 0.86
5 E 454 454 0.00 4.06 0.75 0.86
5 E 454 454 0.00 4.06 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1224.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1224.0 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 PBE1PBE/Def2TZVPP
ABC
0.11970 0.11970 0.06573

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/Def2TZVPP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.416 0.314
S2 0.000 -1.416 0.314
S3 -1.416 0.000 -0.314
S4 1.416 0.000 -0.314

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.83222.09882.0988
S22.83222.09882.0988
S32.09882.09882.8322
S42.09882.09882.8322

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 47.567 S1 S3 S4 47.567
S2 S1 S3 47.567 S2 S4 S3 47.567
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/Def2TZVPP 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 -53.975
Traceless
 xyz
x 2.702 0.000 0.000
y 0.000 2.702 0.000
z 0.000 0.000 -5.405
Polar
3z2-r2-10.810
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 11.180 0.000 0.000
y 0.000 11.180 0.000
z 0.000 0.000 6.574


<r2> (average value of r2) Å2
<r2> 166.110
(<r2>)1/2 12.888

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/Def2TZVPP
 hartrees
Energy at 0K-1592.262663
Energy at 298.15K 
HF Energy-1592.262663
Nuclear repulsion energy335.732644
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 PBE1PBE/Def2TZVPP
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 711 711 7.73 24.32 0.16 0.27
2 A1 420 420 4.91 40.97 0.19 0.32
3 A1 118 118 0.33 10.26 0.45 0.62
4 A2 224 224 0.00 0.12 0.75 0.86
5 B2 680 680 123.19 3.88 0.75 0.86
6 B2 347 347 0.21 11.05 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1249.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1249.8 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 PBE1PBE/Def2TZVPP
ABC
0.16002 0.07332 0.05028

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.037 0.908
S2 0.000 -1.037 0.908
S3 0.000 1.588 -0.908
S4 0.000 -1.588 -0.908

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.07331.89703.1910
S22.07333.19101.8970
S31.89703.19103.1755
S43.19101.89703.1755

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 106.888 S1 S3 S4 73.112
S2 S1 S3 106.888 S2 S4 S3 73.112
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.139      
2 S 0.139      
3 S -0.139      
4 S -0.139      


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 1.441 1.441
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.934 0.000 0.000
y 0.000 -52.992 0.000
z 0.000 0.000 -48.198
Traceless
 xyz
x -0.339 0.000 0.000
y 0.000 -3.425 0.000
z 0.000 0.000 3.764
Polar
3z2-r27.529
x2-y22.058
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.723 0.000 0.000
y 0.000 18.003 0.000
z 0.000 0.000 11.693


<r2> (average value of r2) Å2
<r2> 199.447
(<r2>)1/2 14.123

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/Def2TZVPP
 hartrees
Energy at 0K-1592.255447
Energy at 298.15K 
HF Energy-1592.255447
Nuclear repulsion energy340.245657
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 PBE1PBE/Def2TZVPP
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 764 764 0.00 32.17 0.20 0.34
2 Ag 312 312 0.00 36.39 0.24 0.39
3 Au 263 263 0.00 0.00 0.00 0.00
4 B1u 701 701 125.29 0.00 0.00 0.00
5 B2u 169i 169i 18.44 0.00 0.00 0.00
6 B3g 355 355 0.00 12.76 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1113.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1113.1 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 PBE1PBE/Def2TZVPP
ABC
0.14942 0.08539 0.05434

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/Def2TZVPP

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.939 1.242
S2 0.000 0.939 -1.242
S3 0.000 -0.939 1.242
S4 0.000 -0.939 -1.242

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.48491.87853.1150
S22.48493.11501.8785
S31.87853.11502.4849
S43.11501.87852.4849

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 PBE1PBE/Def2TZVPP 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 -51.284 0.000 0.000
y 0.000 -47.468 0.000
z 0.000 0.000 -52.592
Traceless
 xyz
x -1.253 0.000 0.000
y 0.000 4.470 0.000
z 0.000 0.000 -3.216
Polar
3z2-r2-6.432
x2-y2-3.815
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.698 0.000 0.000
y 0.000 12.204 0.000
z 0.000 0.000 16.978


<r2> (average value of r2) Å2
<r2> 186.763
(<r2>)1/2 13.666