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

using model chemistry: B3PW91/cc-pV(T+d)Z

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 B3PW91/cc-pV(T+d)Z
 hartrees
Energy at 0K-1592.674540
Energy at 298.15K 
HF Energy-1592.674540
Nuclear repulsion energy352.267465
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 B3PW91/cc-pV(T+d)Z
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 531 512 0.00      
2 A1 206 199 0.00      
3 B1 469 452 0.00      
4 B2 298 288 0.00      
5 E 439 424 0.00      
5 E 439 424 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1191.4 cm-1
Scaled (by 0.964) Zero Point Vibrational Energy (zpe) 1148.5 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 B3PW91/cc-pV(T+d)Z
ABC
0.11869 0.11869 0.06505

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pV(T+d)Z

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.423 0.312
S2 0.000 -1.423 0.312
S3 -1.423 0.000 -0.312
S4 1.423 0.000 -0.312

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.84702.10762.1076
S22.84702.10762.1076
S32.10762.10762.8470
S42.10762.10762.8470

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 47.515 S1 S3 S4 47.515
S2 S1 S3 47.515 S2 S4 S3 47.515
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pV(T+d)Z 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 -48.529 0.000 0.000
y 0.000 -48.529 0.000
z 0.000 0.000 -53.974
Traceless
 xyz
x 2.723 0.000 0.000
y 0.000 2.723 0.000
z 0.000 0.000 -5.445
Polar
3z2-r2-10.891
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 11.324 0.000 0.000
y 0.000 11.324 0.000
z 0.000 0.000 6.639


<r2> (average value of r2) Å2
<r2> 167.362
(<r2>)1/2 12.937

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3PW91/cc-pV(T+d)Z
 hartrees
Energy at 0K-1592.702645
Energy at 298.15K 
HF Energy-1592.702645
Nuclear repulsion energy333.902121
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 B3PW91/cc-pV(T+d)Z
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 700 675 6.97      
2 A1 397 382 4.97      
3 A1 111 107 0.30      
4 A2 219 211 0.00      
5 B2 671 647 118.75      
6 B2 342 329 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 1219.9 cm-1
Scaled (by 0.964) Zero Point Vibrational Energy (zpe) 1175.9 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 B3PW91/cc-pV(T+d)Z
ABC
0.15952 0.07202 0.04962

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.046 0.909
S2 0.000 -1.046 0.909
S3 0.000 1.602 -0.909
S4 0.000 -1.602 -0.909

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.09211.90113.2120
S22.09213.21201.9011
S31.90113.21203.2039
S43.21201.90113.2039

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 107.001 S1 S3 S4 72.999
S2 S1 S3 107.001 S2 S4 S3 72.999
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pV(T+d)Z Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.134      
2 S 0.134      
3 S -0.134      
4 S -0.134      


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 1.391 1.391
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.890 0.000 0.000
y 0.000 -52.860 0.000
z 0.000 0.000 -48.262
Traceless
 xyz
x -0.329 0.000 0.000
y 0.000 -3.284 0.000
z 0.000 0.000 3.614
Polar
3z2-r27.227
x2-y21.970
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.806 0.000 0.000
y 0.000 18.197 0.000
z 0.000 0.000 11.810


<r2> (average value of r2) Å2
<r2> 201.666
(<r2>)1/2 14.201

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3PW91/cc-pV(T+d)Z
 hartrees
Energy at 0K-1592.696352
Energy at 298.15K 
HF Energy-1592.696352
Nuclear repulsion energy338.206711
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 B3PW91/cc-pV(T+d)Z
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 749 722 0.00      
2 Ag 300 289 0.00      
3 Au 257 247 0.00      
4 B1u 690 665 120.75      
5 B2u 155i 149i 16.59      
6 B3g 347 335 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1094.2 cm-1
Scaled (by 0.964) Zero Point Vibrational Energy (zpe) 1054.9 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 B3PW91/cc-pV(T+d)Z
ABC
0.14859 0.08379 0.05358

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pV(T+d)Z

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.942 1.254
S2 0.000 0.942 -1.254
S3 0.000 -0.942 1.254
S4 0.000 -0.942 -1.254

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.50851.88373.1370
S22.50853.13701.8837
S31.88373.13702.5085
S43.13701.88372.5085

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 B3PW91/cc-pV(T+d)Z 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 -51.234 0.000 0.000
y 0.000 -47.533 0.000
z 0.000 0.000 -52.501
Traceless
 xyz
x -1.216 0.000 0.000
y 0.000 4.334 0.000
z 0.000 0.000 -3.118
Polar
3z2-r2-6.236
x2-y2-3.701
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.784 0.000 0.000
y 0.000 12.333 0.000
z 0.000 0.000 17.161


<r2> (average value of r2) Å2
<r2> 188.950
(<r2>)1/2 13.746