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

using model chemistry: PBEPBEultrafine/cc-pV(T+d)Z

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes D3H 1A1'

Conformer 1 (C2V)

Jump to S1C2
Vibrational Frequencies calculated at PBEPBEultrafine/cc-pV(T+d)Z
Rotational Constants (cm-1) from geometry optimized at PBEPBEultrafine/cc-pV(T+d)Z
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pV(T+d)Z
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at PBEPBEultrafine/cc-pV(T+d)Z
 hartrees
Energy at 0K-1194.110015
Energy at 298.15K-1194.110510
HF Energy-1194.110015
Nuclear repulsion energy194.655511
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 PBEPBEultrafine/cc-pV(T+d)Z
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' 602 602 0.00      
2 E' 463 463 0.25      
2 E' 463 463 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 763.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 763.9 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 PBEPBEultrafine/cc-pV(T+d)Z
ABC
0.24192 0.24192 0.12096

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pV(T+d)Z

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.205 0.000
S2 1.044 -0.603 0.000
S3 -1.044 -0.603 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.08782.0878
S22.08782.0878
S32.08782.0878

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 PBEPBEultrafine/cc-pV(T+d)Z 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 -35.265 0.000 0.000
y 0.000 -35.265 0.000
z 0.000 0.000 -41.722
Traceless
 xyz
x 3.228 0.000 0.000
y 0.000 3.228 0.000
z 0.000 0.000 -6.457
Polar
3z2-r2-12.913
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 8.485 0.000 0.000
y 0.000 8.485 0.000
z 0.000 0.000 4.649


<r2> (average value of r2) Å2
<r2> 93.115
(<r2>)1/2 9.650