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

using model chemistry: BLYP/cc-pCVTZ

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 BLYP/cc-pCVTZ
 hartrees
Energy at 0K-1592.836174
Energy at 298.15K 
HF Energy-1592.836174
Nuclear repulsion energy343.112855
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 BLYP/cc-pCVTZ
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 472 472 0.00      
2 A1 190 190 0.00      
3 B1 390 390 0.00      
4 B2 277 277 0.02      
5 E 365 365 0.38      
5 E 365 365 0.38      

Unscaled Zero Point Vibrational Energy (zpe) 1029.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1029.1 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 BLYP/cc-pCVTZ
ABC
0.11263 0.11263 0.06168

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/cc-pCVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.462 0.319
S2 0.000 -1.462 0.319
S3 -1.462 0.000 -0.319
S4 1.462 0.000 -0.319

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.92372.16372.1637
S22.92372.16372.1637
S32.16372.16372.9237
S42.16372.16372.9237

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 47.497 S1 S3 S4 47.497
S2 S1 S3 47.497 S2 S4 S3 47.497
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pCVTZ 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 -48.902 0.000 0.000
y 0.000 -48.902 0.000
z 0.000 0.000 -54.352
Traceless
 xyz
x 2.725 0.000 0.000
y 0.000 2.725 0.000
z 0.000 0.000 -5.449
Polar
3z2-r2-10.899
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 11.975 0.000 0.000
y 0.000 11.975 0.000
z 0.000 0.000 6.934


<r2> (average value of r2) Å2
<r2> 174.966
(<r2>)1/2 13.227

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at BLYP/cc-pCVTZ
 hartrees
Energy at 0K-1592.882136
Energy at 298.15K 
HF Energy-1592.882136
Nuclear repulsion energy324.548642
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 BLYP/cc-pCVTZ
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 648 648 3.24      
2 A1 286 286 4.83      
3 A1 83 83 1.12      
4 A2 202 202 0.00      
5 B2 621 621 92.59      
6 B2 310 310 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1074.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1074.9 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 BLYP/cc-pCVTZ
ABC
0.15055 0.06862 0.04714

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/cc-pCVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.121 0.936
S2 0.000 -1.121 0.936
S3 0.000 1.608 -0.936
S4 0.000 -1.608 -0.936

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.24211.93373.3089
S22.24213.30891.9337
S31.93373.30893.2156
S43.30891.93373.2156

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 104.580 S1 S3 S4 75.420
S2 S1 S3 104.580 S2 S4 S3 75.420
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.094      
2 S 0.094      
3 S -0.094      
4 S -0.094      


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 1.091 1.091
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.403 0.000 0.000
y 0.000 -52.925 0.000
z 0.000 0.000 -48.470
Traceless
 xyz
x -0.705 0.000 0.000
y 0.000 -2.989 0.000
z 0.000 0.000 3.695
Polar
3z2-r27.389
x2-y21.523
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.009 0.000 0.000
y 0.000 18.691 0.000
z 0.000 0.000 12.479


<r2> (average value of r2) Å2
<r2> 210.782
(<r2>)1/2 14.518

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at BLYP/cc-pCVTZ
 hartrees
Energy at 0K-1592.880418
Energy at 298.15K 
HF Energy-1592.880418
Nuclear repulsion energy327.458487
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 BLYP/cc-pCVTZ
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 676 676 0.00      
2 Ag 252 252 0.00      
3 Au 226 226 0.00      
4 B1u 632 632 91.78      
5 B2u 88i 88i 10.36      
6 B3g 312 312 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1004.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1004.8 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 BLYP/cc-pCVTZ
ABC
0.14256 0.07661 0.04983

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/cc-pCVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.962 1.312
S2 0.000 0.962 -1.312
S3 0.000 -0.962 1.312
S4 0.000 -0.962 -1.312

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.62341.92313.2528
S22.62343.25281.9231
S31.92313.25282.6234
S43.25281.92312.6234

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 BLYP/cc-pCVTZ 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 -51.624 0.000 0.000
y 0.000 -47.952 0.000
z 0.000 0.000 -52.683
Traceless
 xyz
x -1.307 0.000 0.000
y 0.000 4.201 0.000
z 0.000 0.000 -2.895
Polar
3z2-r2-5.789
x2-y2-3.672
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.000 0.000 0.000
y 0.000 12.865 0.000
z 0.000 0.000 17.844


<r2> (average value of r2) Å2
<r2> 200.987
(<r2>)1/2 14.177