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

using model chemistry: mPW1PW91/STO-3G

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 mPW1PW91/STO-3G
 hartrees
Energy at 0K-1575.192478
Energy at 298.15K 
HF Energy-1575.192478
Nuclear repulsion energy344.663725
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/STO-3G
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 642 565 0.00 24.84 0.09 0.16
2 A1 161 142 0.00 1.76 0.73 0.84
3 B1 587 516 0.00 15.41 0.75 0.86
4 B2 346 304 0.99 6.08 0.75 0.86
5 E 575 505 1.61 3.45 0.75 0.86
5 E 575 505 1.61 3.45 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1443.1 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 1268.4 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 mPW1PW91/STO-3G
ABC
0.11464 0.11464 0.06079

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.473 0.256
S2 0.000 -1.473 0.256
S3 -1.473 0.000 -0.256
S4 1.473 0.000 -0.256

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.94522.14462.1446
S22.94522.14462.1446
S32.14462.14462.9452
S42.14462.14462.9452

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 46.635 S1 S3 S4 46.635
S2 S1 S3 46.635 S2 S4 S3 46.635
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G 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 -43.857 0.000 0.000
y 0.000 -43.857 0.000
z 0.000 0.000 -45.793
Traceless
 xyz
x 0.968 0.000 0.000
y 0.000 0.968 0.000
z 0.000 0.000 -1.935
Polar
3z2-r2-3.870
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 5.838 0.000 0.000
y 0.000 5.838 0.000
z 0.000 0.000 0.895


<r2> (average value of r2) Å2
<r2> 170.777
(<r2>)1/2 13.068

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-1575.156402
Energy at 298.15K 
HF Energy-1575.156402
Nuclear repulsion energy329.389731
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/STO-3G
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 766 673 0.01 15.32 0.20 0.33
2 A1 405 356 6.36 13.51 0.23 0.37
3 A1 141 124 4.06 3.89 0.51 0.68
4 A2 203 179 0.00 0.03 0.75 0.86
5 B2 771 678 30.40 0.65 0.75 0.86
6 B2 339 298 0.54 8.72 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1312.7 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 1153.7 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 mPW1PW91/STO-3G
ABC
0.14218 0.07767 0.05023

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.121 0.963
S2 0.000 -1.121 0.963
S3 0.000 1.462 -0.963
S4 0.000 -1.462 -0.963

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.24161.95573.2218
S22.24163.22181.9557
S31.95573.22182.9243
S43.22181.95572.9243

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 100.052 S1 S3 S4 79.948
S2 S1 S3 100.052 S2 S4 S3 79.948
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.058      
2 S 0.058      
3 S -0.058      
4 S -0.058      


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 1.121 1.121
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.421 0.000 0.000
y 0.000 -45.167 0.000
z 0.000 0.000 -44.755
Traceless
 xyz
x 2.540 0.000 0.000
y 0.000 -1.580 0.000
z 0.000 0.000 -0.961
Polar
3z2-r2-1.922
x2-y22.747
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.211 0.000 0.000
y 0.000 9.448 0.000
z 0.000 0.000 6.311


<r2> (average value of r2) Å2
<r2> 195.499
(<r2>)1/2 13.982

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-1575.154442
Energy at 298.15K 
HF Energy-1575.154442
Nuclear repulsion energy331.753015
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/STO-3G
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 818 719 0.00 15.64 0.23 0.37
2 Ag 379 333 0.00 16.54 0.26 0.41
3 Au 231 203 0.00 0.00 0.00 0.00
4 B1u 801 704 37.23 0.00 0.00 0.00
5 B2u 131i 115i 20.47 0.00 0.00 0.00
6 B3g 347 305 0.00 9.08 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1222.4 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 1074.4 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 mPW1PW91/STO-3G
ABC
0.14014 0.08236 0.05188

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.970 1.265
S2 0.000 0.970 -1.265
S3 0.000 -0.970 1.265
S4 0.000 -0.970 -1.265

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.53011.93973.1881
S22.53013.18811.9397
S31.93973.18812.5301
S43.18811.93972.5301

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 mPW1PW91/STO-3G 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 -42.427 0.000 0.000
y 0.000 -44.657 0.000
z 0.000 0.000 -44.284
Traceless
 xyz
x 2.044 0.000 0.000
y 0.000 -1.301 0.000
z 0.000 0.000 -0.743
Polar
3z2-r2-1.485
x2-y22.230
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.192 0.000 0.000
y 0.000 6.528 0.000
z 0.000 0.000 9.033


<r2> (average value of r2) Å2
<r2> 189.972
(<r2>)1/2 13.783