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

using model chemistry: B3LYP/STO-3G

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 B3LYP/STO-3G
 hartrees
Energy at 0K-1575.096933
Energy at 298.15K 
HF Energy-1575.096933
Nuclear repulsion energy341.528969
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 B3LYP/STO-3G
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 619 552 0.00 24.64 0.09 0.16
2 A1 157 140 0.00 1.84 0.73 0.84
3 B1 563 502 0.00 15.30 0.75 0.86
4 B2 337 300 0.84 6.23 0.75 0.86
5 E 551 492 1.29 3.37 0.75 0.86
5 E 551 492 1.29 3.37 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1388.7 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 1239.3 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 B3LYP/STO-3G
ABC
0.11258 0.11258 0.05967

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.486 0.257
S2 0.000 -1.486 0.257
S3 -1.486 0.000 -0.257
S4 1.486 0.000 -0.257

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.97272.16422.1642
S22.97272.16422.1642
S32.16422.16422.9727
S42.16422.16422.9727

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 46.623 S1 S3 S4 46.623
S2 S1 S3 46.623 S2 S4 S3 46.623
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/STO-3G 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 -43.675 0.000 0.000
y 0.000 -43.675 0.000
z 0.000 0.000 -45.778
Traceless
 xyz
x 1.052 0.000 0.000
y 0.000 1.052 0.000
z 0.000 0.000 -2.103
Polar
3z2-r2-4.207
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 6.003 0.000 0.000
y 0.000 6.003 0.000
z 0.000 0.000 0.901


<r2> (average value of r2) Å2
<r2> 173.349
(<r2>)1/2 13.166

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3LYP/STO-3G
 hartrees
Energy at 0K-1575.068728
Energy at 298.15K 
HF Energy-1575.068728
Nuclear repulsion energy327.105771
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 B3LYP/STO-3G
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 758 676 0.02 15.36 0.21 0.34
2 A1 371 331 4.75 14.45 0.24 0.39
3 A1 117 105 7.09 2.06 0.56 0.72
4 A2 205 183 0.00 0.01 0.75 0.86
5 B2 756 675 30.13 0.38 0.75 0.86
6 B2 332 296 0.30 8.92 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1269.4 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 1132.8 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 B3LYP/STO-3G
ABC
0.13933 0.07748 0.04979

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.158 0.973
S2 0.000 -1.158 0.973
S3 0.000 1.436 -0.973
S4 0.000 -1.436 -0.973

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.31651.96503.2423
S22.31653.24231.9650
S31.96503.24232.8714
S43.24231.96502.8714

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 98.117 S1 S3 S4 81.883
S2 S1 S3 98.117 S2 S4 S3 81.883
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.046      
2 S 0.046      
3 S -0.046      
4 S -0.046      


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 0.901 0.901
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.434 0.000 0.000
y 0.000 -44.741 0.000
z 0.000 0.000 -44.548
Traceless
 xyz
x 2.210 0.000 0.000
y 0.000 -1.249 0.000
z 0.000 0.000 -0.961
Polar
3z2-r2-1.922
x2-y22.306
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.212 0.000 0.000
y 0.000 9.396 0.000
z 0.000 0.000 6.481


<r2> (average value of r2) Å2
<r2> 196.859
(<r2>)1/2 14.031

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3LYP/STO-3G
 hartrees
Energy at 0K-1575.068003
Energy at 298.15K 
HF Energy-1575.068003
Nuclear repulsion energy328.568231
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 B3LYP/STO-3G
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 792 706 0.00 15.59 0.23 0.37
2 Ag 364 325 0.00 15.89 0.26 0.41
3 Au 222 198 0.00 0.00 0.00 0.00
4 B1u 776 692 34.21 0.00 0.00 0.00
5 B2u 97i 86i 17.44 0.00 0.00 0.00
6 B3g 336 300 0.00 9.12 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1195.9 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 1067.3 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 B3LYP/STO-3G
ABC
0.13803 0.08044 0.05082

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.977 1.280
S2 0.000 0.977 -1.280
S3 0.000 -0.977 1.280
S4 0.000 -0.977 -1.280

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.56031.95453.2210
S22.56033.22101.9545
S31.95453.22102.5603
S43.22101.95452.5603

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 B3LYP/STO-3G 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 -42.437 0.000 0.000
y 0.000 -44.482 0.000
z 0.000 0.000 -44.164
Traceless
 xyz
x 1.886 0.000 0.000
y 0.000 -1.182 0.000
z 0.000 0.000 -0.704
Polar
3z2-r2-1.409
x2-y22.045
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.199 0.000 0.000
y 0.000 6.621 0.000
z 0.000 0.000 9.139


<r2> (average value of r2) Å2
<r2> 193.287
(<r2>)1/2 13.903