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

using model chemistry: PBEPBE/Def2TZVPP

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 PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-1592.124665
Energy at 298.15K 
HF Energy-1592.124665
Nuclear repulsion energy349.437915
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 PBEPBE/Def2TZVPP
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 508 502 0.00 34.93 0.04 0.08
2 A1 205 202 0.00 2.56 0.74 0.85
3 B1 426 421 0.00 16.55 0.75 0.86
4 B2 278 275 0.01 9.77 0.75 0.86
5 E 400 396 0.16 3.72 0.75 0.86
5 E 400 396 0.16 3.72 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1108.6 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 1095.2 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 PBEPBE/Def2TZVPP
ABC
0.11661 0.11661 0.06428

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.432 0.324
S2 0.000 -1.432 0.324
S3 -1.432 0.000 -0.324
S4 1.432 0.000 -0.324

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.86402.12642.1264
S22.86402.12642.1264
S32.12642.12642.8640
S42.12642.12642.8640

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 47.667 S1 S3 S4 47.667
S2 S1 S3 47.667 S2 S4 S3 47.667
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP 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 -48.625 0.000 0.000
y 0.000 -48.625 0.000
z 0.000 0.000 -53.921
Traceless
 xyz
x 2.648 0.000 0.000
y 0.000 2.648 0.000
z 0.000 0.000 -5.296
Polar
3z2-r2-10.591
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 11.520 0.000 0.000
y 0.000 11.520 0.000
z 0.000 0.000 6.756


<r2> (average value of r2) Å2
<r2> 169.436
(<r2>)1/2 13.017

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-1592.166920
Energy at 298.15K 
HF Energy-1592.166920
Nuclear repulsion energy331.443329
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 PBEPBE/Def2TZVPP
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 685 677 3.75 26.58 0.17 0.30
2 A1 321 317 4.98 30.94 0.20 0.33
3 A1 95 93 1.70 5.72 0.48 0.65
4 A2 219 216 0.00 0.04 0.75 0.86
5 B2 656 648 88.75 2.20 0.75 0.86
6 B2 326 322 0.00 12.03 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1150.7 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 1136.8 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 PBEPBE/Def2TZVPP
ABC
0.15207 0.07395 0.04976

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.097 0.931
S2 0.000 -1.097 0.931
S3 0.000 1.537 -0.931
S4 0.000 -1.537 -0.931

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.19321.91343.2253
S22.19323.22531.9134
S31.91343.22533.0739
S43.22531.91343.0739

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 103.306 S1 S3 S4 76.694
S2 S1 S3 103.306 S2 S4 S3 76.694
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.098      
2 S 0.098      
3 S -0.098      
4 S -0.098      


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 1.082 1.082
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.091 0.000 0.000
y 0.000 -52.683 0.000
z 0.000 0.000 -47.919
Traceless
 xyz
x -0.790 0.000 0.000
y 0.000 -3.178 0.000
z 0.000 0.000 3.968
Polar
3z2-r27.936
x2-y21.592
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.783 0.000 0.000
y 0.000 17.683 0.000
z 0.000 0.000 12.222


<r2> (average value of r2) Å2
<r2> 201.129
(<r2>)1/2 14.182

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-1592.165117
Energy at 298.15K 
HF Energy-1592.165117
Nuclear repulsion energy334.121446
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 PBEPBE/Def2TZVPP
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 712 704 0.00 31.09 0.20 0.33
2 Ag 280 277 0.00 29.53 0.23 0.38
3 Au 243 240 0.00 0.00 0.00 0.00
4 B1u 665 657 87.72 0.00 0.00 0.00
5 B2u 99i 98i 11.99 0.00 0.00 0.00
6 B3g 330 326 0.00 12.53 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1065.8 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 1052.9 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 PBEPBE/Def2TZVPP
ABC
0.14547 0.08151 0.05224

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.952 1.272
S2 0.000 0.952 -1.272
S3 0.000 -0.952 1.272
S4 0.000 -0.952 -1.272

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.54341.90383.1770
S22.54343.17701.9038
S31.90383.17702.5434
S43.17701.90382.5434

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 PBEPBE/Def2TZVPP 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 -51.311 0.000 0.000
y 0.000 -47.467 0.000
z 0.000 0.000 -52.477
Traceless
 xyz
x -1.339 0.000 0.000
y 0.000 4.427 0.000
z 0.000 0.000 -3.088
Polar
3z2-r2-6.176
x2-y2-3.844
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.769 0.000 0.000
y 0.000 12.547 0.000
z 0.000 0.000 17.041


<r2> (average value of r2) Å2
<r2> 192.985
(<r2>)1/2 13.892