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

using model chemistry: G4

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 G4
 hartrees
Energy at 0K-46586.749696
Energy at 298.15K-46586.743841
HF Energy-1592.742416
Nuclear repulsion energy347.585855
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 B3LYP/6-31G(2df,p)
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 512 494 0.00 41.36 0.05 0.09
2 A1 195 188 0.00 1.83 0.75 0.86
3 B1 450 434 0.00 20.74 0.75 0.86
4 B2 298 288 0.00 9.73 0.75 0.86
5 E 422 407 0.07 4.34 0.75 0.86
5 E 422 407 0.07 4.34 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1149.3 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1109.1 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 B3LYP/6-31G(2df,p)
ABC
0.11562 0.11562 0.06310

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.445 0.309
S2 0.000 -1.445 0.309
S3 -1.445 0.000 -0.309
S4 1.445 0.000 -0.309

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89072.13552.1355
S22.89072.13552.1355
S32.13552.13552.8907
S42.13552.13552.8907

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 47.404 S1 S3 S4 47.404
S2 S1 S3 47.404 S2 S4 S3 47.404
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) 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


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


<r2> (average value of r2) Å2
<r2> 171.334
(<r2>)1/2 13.089

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at G4
 hartrees
Energy at 0K-14455.319386
Energy at 298.15K-14455.313336
HF Energy-1592.770648
Nuclear repulsion energy329.032277
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 B3LYP/6-31G(2df,p)
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 675 651 5.46 27.26 0.16 0.27
2 A1 375 362 5.50 35.25 0.18 0.31
3 A1 107 103 0.31 11.59 0.46 0.63
4 A2 208 201 0.00 0.20 0.75 0.86
5 B2 650 628 114.56 3.19 0.75 0.86
6 B2 331 319 0.27 12.18 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1172.8 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1131.8 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 B3LYP/6-31G(2df,p)
ABC
0.15662 0.06924 0.04801

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.063 0.917
S2 0.000 -1.063 0.917
S3 0.000 1.636 -0.917
S4 0.000 -1.636 -0.917

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.12631.92223.2639
S22.12633.26391.9222
S31.92223.26393.2724
S43.26391.92223.2724

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 107.340 S1 S3 S4 72.660
S2 S1 S3 107.340 S2 S4 S3 72.660
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.131      
2 S 0.131      
3 S -0.131      
4 S -0.131      


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 1.427 1.427
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


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


<r2> (average value of r2) Å2
<r2> 207.417
(<r2>)1/2 14.402

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at G4
 hartrees
Energy at 0K-24291.533163
Energy at 298.15K-24291.527818
HF Energy-1592.764641
Nuclear repulsion energy333.058336
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 B3LYP/6-31G(2df,p)
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 724 699 0.00 34.19 0.21 0.34
2 Ag 284 274 0.00 34.31 0.25 0.40
3 Au 245 236 0.00 0.00 0.00 0.00
4 B1u 670 647 121.45 0.00 0.00 0.00
5 B2u 146i 140i 15.89 0.00 0.00 0.00
6 B3g 334 322 0.00 14.37 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1055.5 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1018.5 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 B3LYP/6-31G(2df,p)
ABC
0.14543 0.08050 0.05182

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.952 1.280
S2 0.000 0.952 -1.280
S3 0.000 -0.952 1.280
S4 0.000 -0.952 -1.280

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.55931.90413.1899
S22.55933.18991.9041
S31.90413.18992.5593
S43.18991.90412.5593

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 B3LYP/6-31G(2df,p) 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


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


<r2> (average value of r2) Å2
<r2> 194.348
(<r2>)1/2 13.941