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All results from a given calculation for S3 (Sulfur trimer)

using model chemistry: B2PLYP/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
1 2 no D3H 1A1'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at B2PLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.245369
Energy at 298.15K-1194.245762
HF Energy-1194.057026
Nuclear repulsion energy180.510461
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/aug-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 B2 670 644 89.02      
2 A1 577 555 1.01      
3 A1 256 246 0.62      

Unscaled Zero Point Vibrational Energy (zpe) 751.6 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 722.3 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/aug-cc-pVTZ
ABC
0.78749 0.09564 0.08528

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.668
S2 0.000 1.660 -0.334
S3 0.000 -1.660 -0.334

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93931.9393
S21.93933.3205
S31.93933.3205

picture of Sulfur trimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S2 S1 S3 117.768
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.280      
2 S -0.140      
3 S -0.140      


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 0.493 0.493
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.823 0.000 0.000
y 0.000 -39.247 0.000
z 0.000 0.000 -39.615
Traceless
 xyz
x 1.608 0.000 0.000
y 0.000 -0.528 0.000
z 0.000 0.000 -1.080
Polar
3z2-r2-2.160
x2-y21.424
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.422 0.000 0.000
y 0.000 16.257 0.000
z 0.000 0.000 7.906


<r2> (average value of r2) Å2
<r2> 123.211
(<r2>)1/2 11.100

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B2PLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-1194.233400
Energy at 298.15K-1194.233885
HF Energy-1194.056712
Nuclear repulsion energy193.821412
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/aug-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' 603 580 0.00      
2 E' 457 439 0.43      
2 E' 457 439 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 758.0 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 728.4 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/aug-cc-pVTZ
ABC
0.23985 0.23985 0.11992

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.211 0.000
S2 1.048 -0.605 0.000
S3 -1.048 -0.605 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.09682.0968
S22.09682.0968
S32.09682.0968

picture of Sulfur trimer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S2 S1 S3 60.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.000      
2 S 0.000      
3 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 -35.910 0.000 0.000
y 0.000 -35.910 0.000
z 0.000 0.000 -42.327
Traceless
 xyz
x 3.209 0.000 0.000
y 0.000 3.209 0.000
z 0.000 0.000 -6.417
Polar
3z2-r2-12.834
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 9.677 0.000 0.000
y 0.000 9.677 0.000
z 0.000 0.000 6.802


<r2> (average value of r2) Å2
<r2> 94.111
(<r2>)1/2 9.701