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

using model chemistry: B2PLYP=FULLultrafine/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 B2PLYP=FULLultrafine/cc-pVTZ
 hartrees
Energy at 0K-1592.345477
Energy at 298.15K 
HF Energy-1592.072691
Nuclear repulsion energy348.922360
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 B2PLYP=FULLultrafine/cc-pVTZ
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 517 494 0.00 40.74 0.04 0.08
2 A1 201 192 0.00 2.52 0.75 0.86
3 B1 456 436 0.00 18.00 0.75 0.86
4 B2 301 288 0.00 8.70 0.75 0.86
5 E 428 409 0.02 4.54 0.75 0.86
5 E 428 409 0.02 4.54 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1166.0 cm-1
Scaled (by 0.9554) Zero Point Vibrational Energy (zpe) 1114.0 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 B2PLYP=FULLultrafine/cc-pVTZ
ABC
0.11643 0.11643 0.06386

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.437 0.316
S2 0.000 -1.437 0.316
S3 -1.437 0.000 -0.316
S4 1.437 0.000 -0.316

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.87352.12812.1281
S22.87352.12812.1281
S32.12812.12812.8735
S42.12812.12812.8735

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 47.535 S1 S3 S4 47.535
S2 S1 S3 47.535 S2 S4 S3 47.535
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/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 -49.105 0.000 0.000
y 0.000 -49.067 0.000
z 0.000 0.000 -54.547
Traceless
 xyz
x 2.702 0.000 0.000
y 0.000 2.759 0.000
z 0.000 0.000 -5.461
Polar
3z2-r2-10.922
x2-y2-0.038
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.447 0.000 0.000
y 0.000 11.443 0.000
z 0.000 0.000 6.618


<r2> (average value of r2) Å2
<r2> 170.310
(<r2>)1/2 13.050

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP=FULLultrafine/cc-pVTZ
 hartrees
Energy at 0K-1592.382936
Energy at 298.15K 
HF Energy-1592.060919
Nuclear repulsion energy329.898774
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 B2PLYP=FULLultrafine/cc-pVTZ
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 693 662 0.00 35.17 0.16 0.28
2 A1 249 238 0.00 3.27 0.73 0.84
3 A1 108 103 8.42 0.00 0.68 0.81
4 A2 232 222 0.00 0.00 0.75 0.86
5 B2 675 645 41.14 0.00 0.75 0.86
6 B2 318 304 0.00 12.42 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1137.4 cm-1
Scaled (by 0.9554) Zero Point Vibrational Energy (zpe) 1086.7 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 B2PLYP=FULLultrafine/cc-pVTZ
ABC
0.14389 0.07823 0.05068

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.298 0.957
S2 0.000 -1.298 0.957
S3 0.000 1.298 -0.957
S4 0.000 -1.298 -0.957

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59631.91423.2256
S22.59633.22561.9142
S31.91423.22562.5960
S43.22561.91422.5960

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 89.996 S1 S3 S4 90.004
S2 S1 S3 89.996 S2 S4 S3 90.004
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/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 -51.805 0.000 0.000
y 0.000 -52.956 0.000
z 0.000 0.000 -48.124
Traceless
 xyz
x -1.265 0.000 0.000
y 0.000 -2.992 0.000
z 0.000 0.000 4.256
Polar
3z2-r28.512
x2-y21.151
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.773 0.000 0.000
y 0.000 15.651 0.000
z 0.000 0.000 12.672


<r2> (average value of r2) Å2
<r2> 198.298
(<r2>)1/2 14.082

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B2PLYP=FULLultrafine/cc-pVTZ
 hartrees
Energy at 0K-1592.382936
Energy at 298.15K 
HF Energy-1592.060914
Nuclear repulsion energy329.886335
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 B2PLYP=FULLultrafine/cc-pVTZ
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 693 662 0.00 35.18 0.16 0.28
2 Ag 249 238 0.00 3.30 0.73 0.84
3 Au 232 222 0.00 0.00 0.00 0.00
4 B1u 675 645 41.11 0.00 0.00 0.00
5 B2u 108 103 8.41 0.00 0.00 0.00
6 B3g 318 304 0.00 12.42 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1137.3 cm-1
Scaled (by 0.9554) Zero Point Vibrational Energy (zpe) 1086.6 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 B2PLYP=FULLultrafine/cc-pVTZ
ABC
0.14389 0.07822 0.05067

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.957 1.298
S2 0.000 0.957 -1.298
S3 0.000 -0.957 1.298
S4 0.000 -0.957 -1.298

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59641.91423.2257
S22.59643.22571.9142
S31.91423.22572.5964
S43.22571.91422.5964

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