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

using model chemistry: HF/CEP-31G*

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 HF/CEP-31G*
 hartrees
Energy at 0K-39.703083
Energy at 298.15K 
HF Energy-39.703083
Nuclear repulsion energy49.333581
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 HF/CEP-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 587 527 0.00 77.39 0.07 0.14
2 A1 197 177 0.00 4.46 0.72 0.83
3 B1 558 501 0.00 42.87 0.75 0.86
4 B2 361 324 0.47 9.38 0.75 0.86
5 E 536 482 0.10 10.44 0.75 0.86
5 E 536 482 0.10 10.44 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1387.8 cm-1
Scaled (by 0.898) Zero Point Vibrational Energy (zpe) 1246.2 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 HF/CEP-31G*
ABC
0.11824 0.11824 0.06375

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.438 0.285
S2 0.000 -1.438 0.285
S3 -1.438 0.000 -0.285
S4 1.438 0.000 -0.285

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87582.11172.1117
S22.87582.11172.1117
S32.11172.11172.8758
S42.11172.11172.8758

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 47.084 S1 S3 S4 47.084
S2 S1 S3 47.084 S2 S4 S3 47.084
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G* 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 -47.011 0.000 0.000
y 0.000 -47.011 0.000
z 0.000 0.000 -52.673
Traceless
 xyz
x 2.831 0.000 0.000
y 0.000 2.831 0.000
z 0.000 0.000 -5.662
Polar
3z2-r2-11.324
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 10.449 0.000 0.000
y 0.000 10.449 0.000
z 0.000 0.000 4.198


<r2> (average value of r2) Å2
<r2> 82.109
(<r2>)1/2 9.061

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at HF/CEP-31G*
 hartrees
Energy at 0K-39.674851
Energy at 298.15K 
HF Energy-39.674851
Nuclear repulsion energy46.630489
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 HF/CEP-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 712 639 10.14 29.01 0.60 0.75
2 A1 557 500 5.56 387.03 0.26 0.41
3 A1 138 124 0.00 29.05 0.45 0.62
4 A2 215 194 0.00 0.60 0.75 0.86
5 B2 636 571 504.23 0.49 0.75 0.86
6 B2 360 323 2.00 14.69 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1309.2 cm-1
Scaled (by 0.898) Zero Point Vibrational Energy (zpe) 1175.7 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 HF/CEP-31G*
ABC
0.16302 0.06792 0.04795

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.004 0.899
S2 0.000 -1.004 0.899
S3 0.000 1.695 -0.899
S4 0.000 -1.695 -0.899

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.00721.92693.2432
S22.00723.24321.9269
S31.92693.24323.3907
S43.24321.92693.3907

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 111.039 S1 S3 S4 68.961
S2 S1 S3 111.039 S2 S4 S3 68.961
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.185      
2 S 0.185      
3 S -0.185      
4 S -0.185      


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 2.469 2.469
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.105 0.000 0.000
y 0.000 -53.065 0.000
z 0.000 0.000 -47.626
Traceless
 xyz
x 1.241 0.000 0.000
y 0.000 -4.700 0.000
z 0.000 0.000 3.459
Polar
3z2-r26.918
x2-y23.961
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.537 0.000 0.000
y 0.000 23.610 0.000
z 0.000 0.000 10.780


<r2> (average value of r2) Å2
<r2> 97.170
(<r2>)1/2 9.857

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at HF/CEP-31G*
 hartrees
Energy at 0K-39.643310
Energy at 298.15K 
HF Energy-39.643310
Nuclear repulsion energy47.645000
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 HF/CEP-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 821 737 0.00 48.26 0.35 0.52
2 Ag 332 299 0.00 970.75 0.33 0.49
3 Au 281 252 0.00 0.00 0.00 0.00
4 B1u 709 637 631.42 0.00 0.00 0.00
5 B2u 326i 293i 59.50 0.00 0.00 0.00
6 B3g 376 338 0.00 18.68 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1096.4 cm-1
Scaled (by 0.898) Zero Point Vibrational Energy (zpe) 984.6 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 HF/CEP-31G*
ABC
0.14894 0.08420 0.05379

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.941 1.251
S2 0.000 0.941 -1.251
S3 0.000 -0.941 1.251
S4 0.000 -0.941 -1.251

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.50241.88153.1308
S22.50243.13081.8815
S31.88153.13082.5024
S43.13081.88152.5024

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 HF/CEP-31G* 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 -49.645 0.000 0.000
y 0.000 -46.471 0.000
z 0.000 0.000 -52.603
Traceless
 xyz
x -0.108 0.000 0.000
y 0.000 4.653 0.000
z 0.000 0.000 -4.545
Polar
3z2-r2-9.090
x2-y2-3.174
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.539 0.000 0.000
y 0.000 11.744 0.000
z 0.000 0.000 22.706


<r2> (average value of r2) Å2
<r2> 89.776
(<r2>)1/2 9.475