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

using model chemistry: HF/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-1590.151523
Energy at 298.15K 
HF Energy-1590.151523
Nuclear repulsion energy352.626020
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/aug-cc-pVTZ
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 573 521 0.00 57.30 0.05 0.10
2 A1 202 184 0.00 1.21 0.75 0.86
3 B1 541 493 0.00 21.35 0.75 0.86
4 B2 355 323 0.03 5.94 0.75 0.86
5 E 516 469 0.27 4.07 0.75 0.86
5 E 516 469 0.27 4.07 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1350.9 cm-1
Scaled (by 0.9104) Zero Point Vibrational Energy (zpe) 1229.9 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 HF/aug-cc-pVTZ
ABC
0.11942 0.11942 0.06447

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.430 0.285
S2 0.000 -1.430 0.285
S3 -1.430 0.000 -0.285
S4 1.430 0.000 -0.285

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.85992.10122.1012
S22.85992.10122.1012
S32.10122.10122.8599
S42.10122.10122.8599

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 47.115 S1 S3 S4 47.115
S2 S1 S3 47.115 S2 S4 S3 47.115
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVTZ 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 -49.644 0.000 0.000
y 0.000 -49.644 0.000
z 0.000 0.000 -55.491
Traceless
 xyz
x 2.924 0.000 0.000
y 0.000 2.924 0.000
z 0.000 0.000 -5.847
Polar
3z2-r2-11.694
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 12.399 0.000 0.000
y 0.000 12.399 0.000
z 0.000 0.000 8.464


<r2> (average value of r2) Å2
<r2> 168.296
(<r2>)1/2 12.973

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at HF/aug-cc-pVTZ
 hartrees
Energy at 0K-1590.129882
Energy at 298.15K 
HF Energy-1590.129882
Nuclear repulsion energy334.755377
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/aug-cc-pVTZ
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 730 664 21.10 18.41 0.68 0.81
2 A1 570 519 1.08 432.27 0.22 0.37
3 A1 138 126 0.05 22.85 0.40 0.57
4 A2 224 204 0.00 0.96 0.75 0.86
5 B2 634 577 473.85 1.07 0.75 0.86
6 B2 367 334 1.44 8.58 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1331.4 cm-1
Scaled (by 0.9104) Zero Point Vibrational Energy (zpe) 1212.1 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 HF/aug-cc-pVTZ
ABC
0.17029 0.06755 0.04837

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.985 0.880
S2 0.000 -0.985 0.880
S3 0.000 1.713 -0.880
S4 0.000 -1.713 -0.880

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S11.96911.90433.2204
S21.96913.22041.9043
S31.90433.22043.4253
S43.22041.90433.4253

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 112.480 S1 S3 S4 67.520
S2 S1 S3 112.480 S2 S4 S3 67.520
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.246      
2 S 0.246      
3 S -0.246      
4 S -0.246      


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 2.074 2.074
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.249 0.000 0.000
y 0.000 -55.062 0.000
z 0.000 0.000 -49.994
Traceless
 xyz
x 0.279 0.000 0.000
y 0.000 -3.941 0.000
z 0.000 0.000 3.661
Polar
3z2-r27.323
x2-y22.814
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.214 0.000 0.000
y 0.000 24.669 0.000
z 0.000 0.000 12.487


<r2> (average value of r2) Å2
<r2> 207.171
(<r2>)1/2 14.393

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at HF/aug-cc-pVTZ
 hartrees
Energy at 0K-1590.092077
Energy at 298.15K 
HF Energy-1590.092077
Nuclear repulsion energy342.449273
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/aug-cc-pVTZ
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 826 752 0.00 38.87 0.12 0.22
2 Ag 342 311 0.00 1341.04 0.30 0.47
3 Au 284 258 0.00 0.00 0.00 0.00
4 B1u 678 617 660.86 0.00 0.00 0.00
5 B2u 353i 322i 44.92 0.00 0.00 0.00
6 B3g 381 347 0.00 13.30 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1078.2 cm-1
Scaled (by 0.9104) Zero Point Vibrational Energy (zpe) 981.6 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/aug-cc-pVTZ
ABC
0.15223 0.08597 0.05494

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.931 1.238
S2 0.000 0.931 -1.238
S3 0.000 -0.931 1.238
S4 0.000 -0.931 -1.238

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.47651.86113.0978
S22.47653.09781.8611
S31.86113.09782.4765
S43.09781.86112.4765

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/aug-cc-pVTZ 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 -52.714 0.000 0.000
y 0.000 -48.897 0.000
z 0.000 0.000 -53.885
Traceless
 xyz
x -1.323 0.000 0.000
y 0.000 4.402 0.000
z 0.000 0.000 -3.080
Polar
3z2-r2-6.159
x2-y2-3.817
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.216 0.000 0.000
y 0.000 13.336 0.000
z 0.000 0.000 24.700


<r2> (average value of r2) Å2
<r2> 185.917
(<r2>)1/2 13.635