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

using model chemistry: mPW1PW91/aug-cc-pVDZ

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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-1194.621215
Energy at 298.15K-1194.621646
HF Energy-1194.621215
Nuclear repulsion energy180.708650
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 mPW1PW91/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 B2 697 668 127.19      
2 A1 611 585 1.23      
3 A1 259 248 0.77      

Unscaled Zero Point Vibrational Energy (zpe) 783.3 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 750.6 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 mPW1PW91/aug-cc-pVDZ
ABC
0.77543 0.09630 0.08566

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.673
S2 0.000 1.655 -0.337
S3 0.000 -1.655 -0.337

Atom - Atom Distances (Å)
  S1 S2 S3
S11.93841.9384
S21.93843.3092
S31.93843.3092

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 117.202
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.180      
2 S -0.090      
3 S -0.090      


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 0.535 0.535
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.704 0.000 0.000
y 0.000 -38.951 0.000
z 0.000 0.000 -39.237
Traceless
 xyz
x 1.390 0.000 0.000
y 0.000 -0.481 0.000
z 0.000 0.000 -0.909
Polar
3z2-r2-1.818
x2-y21.247
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.127 0.000 0.000
y 0.000 16.245 0.000
z 0.000 0.000 7.542


<r2> (average value of r2) Å2
<r2> 122.612
(<r2>)1/2 11.073

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-1194.613651
Energy at 298.15K-1194.614175
HF Energy-1194.613651
Nuclear repulsion energy193.508666
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 mPW1PW91/aug-cc-pVDZ
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' 623 597 0.00      
2 E' 472 453 0.41      
2 E' 472 453 0.41      

Unscaled Zero Point Vibrational Energy (zpe) 784.0 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 751.3 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 mPW1PW91/aug-cc-pVDZ
ABC
0.23907 0.23907 0.11954

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.213 0.000
S2 1.050 -0.606 0.000
S3 -1.050 -0.606 0.000

Atom - Atom Distances (Å)
  S1 S2 S3
S12.10022.1002
S22.10022.1002
S32.10022.1002

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 mPW1PW91/aug-cc-pVDZ 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 -35.304 0.000 0.000
y 0.000 -35.304 0.000
z 0.000 0.000 -42.644
Traceless
 xyz
x 3.670 0.000 0.000
y 0.000 3.670 0.000
z 0.000 0.000 -7.341
Polar
3z2-r2-14.681
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 9.305 0.000 0.000
y 0.000 9.305 0.000
z 0.000 0.000 6.525


<r2> (average value of r2) Å2
<r2> 94.152
(<r2>)1/2 9.703