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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/cc-pCVTZ
 hartrees
Energy at 0K-1592.886562
Energy at 298.15K 
HF Energy-1592.886562
Nuclear repulsion energy348.327620
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 B3LYPultrafine/cc-pCVTZ
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 508 508 0.00      
2 A1 197 197 0.00      
3 B1 445 445 0.00      
4 B2 299 299 0.00      
5 E 417 417 0.03      
5 E 417 417 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 1141.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1141.5 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 B3LYPultrafine/cc-pCVTZ
ABC
0.11615 0.11615 0.06346

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pCVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.441 0.310
S2 0.000 -1.441 0.310
S3 -1.441 0.000 -0.310
S4 1.441 0.000 -0.310

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.88262.13062.1306
S22.88262.13062.1306
S32.13062.13062.8826
S42.13062.13062.8826

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 47.431 S1 S3 S4 47.431
S2 S1 S3 47.431 S2 S4 S3 47.431
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/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 -48.817 0.000 0.000
y 0.000 -48.817 0.000
z 0.000 0.000 -54.321
Traceless
 xyz
x 2.752 0.000 0.000
y 0.000 2.752 0.000
z 0.000 0.000 -5.503
Polar
3z2-r2-11.007
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 11.584 0.000 0.000
y 0.000 11.584 0.000
z 0.000 0.000 6.763


<r2> (average value of r2) Å2
<r2> 170.738
(<r2>)1/2 13.067

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3LYPultrafine/cc-pCVTZ
 hartrees
Energy at 0K-1592.916833
Energy at 298.15K 
HF Energy-1592.916833
Nuclear repulsion energy330.028723
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 B3LYPultrafine/cc-pCVTZ
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 675 675 6.21      
2 A1 372 372 4.89      
3 A1 107 107 0.24      
4 A2 210 210 0.00      
5 B2 648 648 118.62      
6 B2 333 333 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 1172.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1172.6 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 B3LYPultrafine/cc-pCVTZ
ABC
0.15840 0.06925 0.04819

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pCVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.058 0.912
S2 0.000 -1.058 0.912
S3 0.000 1.639 -0.912
S4 0.000 -1.639 -0.912

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.11701.91463.2566
S22.11703.25661.9146
S31.91463.25663.2780
S43.25661.91463.2780

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 107.650 S1 S3 S4 72.350
S2 S1 S3 107.650 S2 S4 S3 72.350
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.129      
2 S 0.129      
3 S -0.129      
4 S -0.129      


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 1.397 1.397
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.196 0.000 0.000
y 0.000 -53.185 0.000
z 0.000 0.000 -48.667
Traceless
 xyz
x -0.270 0.000 0.000
y 0.000 -3.254 0.000
z 0.000 0.000 3.524
Polar
3z2-r27.047
x2-y21.989
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.940 0.000 0.000
y 0.000 18.757 0.000
z 0.000 0.000 11.932


<r2> (average value of r2) Å2
<r2> 206.938
(<r2>)1/2 14.385

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3LYPultrafine/cc-pCVTZ
 hartrees
Energy at 0K-1592.910657
Energy at 298.15K 
HF Energy-1592.910657
Nuclear repulsion energy333.985122
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 B3LYPultrafine/cc-pCVTZ
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 725 725 0.00      
2 Ag 283 283 0.00      
3 Au 246 246 0.00      
4 B1u 668 668 122.71      
5 B2u 146i 146i 15.29      
6 B3g 336 336 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1055.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1055.9 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 B3LYPultrafine/cc-pCVTZ
ABC
0.14657 0.08071 0.05205

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pCVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.948 1.278
S2 0.000 0.948 -1.278
S3 0.000 -0.948 1.278
S4 0.000 -0.948 -1.278

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.55591.89663.1827
S22.55593.18271.8966
S31.89663.18272.5559
S43.18271.89662.5559

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 B3LYPultrafine/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 -51.543 0.000 0.000
y 0.000 -47.897 0.000
z 0.000 0.000 -52.754
Traceless
 xyz
x -1.218 0.000 0.000
y 0.000 4.251 0.000
z 0.000 0.000 -3.034
Polar
3z2-r2-6.067
x2-y2-3.646
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.926 0.000 0.000
y 0.000 12.496 0.000
z 0.000 0.000 17.625


<r2> (average value of r2) Å2
<r2> 193.763
(<r2>)1/2 13.920