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

using model chemistry: TPSSh/TZVP

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 TPSSh/TZVP
 hartrees
Energy at 0K-1592.814462
Energy at 298.15K 
HF Energy-1592.814462
Nuclear repulsion energy345.934090
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 TPSSh/TZVP
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 501 483 0.00 47.33 0.06 0.12
2 A1 196 189 0.00 3.78 0.74 0.85
3 B1 429 414 0.00 30.79 0.75 0.86
4 B2 289 278 0.07 11.60 0.75 0.86
5 E 412 397 0.24 6.66 0.75 0.86
5 E 412 397 0.24 6.66 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1119.1 cm-1
Scaled (by 0.9637) Zero Point Vibrational Energy (zpe) 1078.5 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 TPSSh/TZVP
ABC
0.11431 0.11431 0.06296

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/TZVP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.447 0.326
S2 0.000 -1.447 0.326
S3 -1.447 0.000 -0.326
S4 1.447 0.000 -0.326

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.89392.14772.1477
S22.89392.14772.1477
S32.14772.14772.8939
S42.14772.14772.8939

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 47.645 S1 S3 S4 47.645
S2 S1 S3 47.645 S2 S4 S3 47.645
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/TZVP 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 10.650 0.000 0.000
y 0.000 10.650 0.000
z 0.000 0.000 5.338


<r2> (average value of r2) Å2
<r2> 172.700
(<r2>)1/2 13.142

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at TPSSh/TZVP
 hartrees
Energy at 0K-1592.846571
Energy at 298.15K 
HF Energy-1592.846571
Nuclear repulsion energy328.560254
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 TPSSh/TZVP
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 681 657 2.23 32.37 0.25 0.39
2 A1 299 288 7.36 34.56 0.24 0.39
3 A1 87 84 4.03 4.37 0.57 0.72
4 A2 218 210 0.00 0.07 0.75 0.86
5 B2 651 628 126.51 2.04 0.75 0.86
6 B2 323 312 0.00 15.50 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1129.8 cm-1
Scaled (by 0.9637) Zero Point Vibrational Energy (zpe) 1088.8 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 TPSSh/TZVP
ABC
0.14873 0.07319 0.04905

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.120 0.941
S2 0.000 -1.120 0.941
S3 0.000 1.532 -0.941
S4 0.000 -1.532 -0.941

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.23951.92753.2525
S22.23953.25251.9275
S31.92753.25253.0648
S43.25251.92753.0648

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 102.362 S1 S3 S4 77.638
S2 S1 S3 102.362 S2 S4 S3 77.638
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.085      
2 S 0.085      
3 S -0.085      
4 S -0.085      


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 1.295 1.295
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 4.260 0.000 0.000
y 0.000 17.663 0.000
z 0.000 0.000 11.705


<r2> (average value of r2) Å2
<r2> 204.083
(<r2>)1/2 14.286

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at TPSSh/TZVP
 hartrees
Energy at 0K-1592.845559
Energy at 298.15K 
HF Energy-1592.845559
Nuclear repulsion energy330.022926
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 TPSSh/TZVP
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 714 688 0.00 37.41 0.27 0.42
2 Ag 280 269 0.00 31.42 0.28 0.44
3 Au 237 229 0.00 0.00 0.00 0.00
4 B1u 667 643 133.15 0.00 0.00 0.00
5 B2u 76i 73i 17.85 0.00 0.00 0.00
6 B3g 323 311 0.00 16.05 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1072.0 cm-1
Scaled (by 0.9637) Zero Point Vibrational Energy (zpe) 1033.1 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 TPSSh/TZVP
ABC
0.14356 0.07855 0.05077

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/TZVP

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.958 1.295
S2 0.000 0.958 -1.295
S3 0.000 -0.958 1.295
S4 0.000 -0.958 -1.295

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59091.91653.2226
S22.59093.22261.9165
S31.91653.22262.5909
S43.22261.91652.5909

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 TPSSh/TZVP 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 4.238 0.000 0.000
y 0.000 12.064 0.000
z 0.000 0.000 17.274


<r2> (average value of r2) Å2
<r2> 198.171
(<r2>)1/2 14.077