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

using model chemistry: B1B95/cc-pVTZ

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 B1B95/cc-pVTZ
 hartrees
Energy at 0K-1593.004215
Energy at 298.15K 
HF Energy-1593.004215
Nuclear repulsion energy353.301623
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 B1B95/cc-pVTZ
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 543 520 0.00 39.31 0.04 0.08
2 A1 211 202 0.00 2.41 0.74 0.85
3 B1 479 458 0.00 17.05 0.75 0.86
4 B2 301 288 0.00 8.35 0.75 0.86
5 E 455 436 0.01 4.50 0.75 0.86
5 E 455 436 0.01 4.50 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1222.0 cm-1
Scaled (by 0.9571) Zero Point Vibrational Energy (zpe) 1169.5 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 B1B95/cc-pVTZ
ABC
0.11916 0.11916 0.06578

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.416 0.323
S2 0.000 -1.416 0.323
S3 -1.416 0.000 -0.323
S4 1.416 0.000 -0.323

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.83112.10352.1035
S22.83112.10352.1035
S32.10352.10352.8311
S42.10352.10352.8311

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 47.705 S1 S3 S4 47.705
S2 S1 S3 47.705 S2 S4 S3 47.705
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/cc-pVTZ 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 -48.477 0.000 0.000
y 0.000 -48.477 0.000
z 0.000 0.000 -53.743
Traceless
 xyz
x 2.633 0.000 0.000
y 0.000 2.633 0.000
z 0.000 0.000 -5.266
Polar
3z2-r2-10.532
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 11.207 0.000 0.000
y 0.000 11.207 0.000
z 0.000 0.000 6.641


<r2> (average value of r2) Å2
<r2> 166.295
(<r2>)1/2 12.896

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B1B95/cc-pVTZ
 hartrees
Energy at 0K-1593.024757
Energy at 298.15K 
HF Energy-1593.024757
Nuclear repulsion energy335.200026
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 B1B95/cc-pVTZ
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 705 675 6.03 26.36 0.15 0.26
2 A1 406 388 6.01 39.51 0.19 0.32
3 A1 119 114 0.59 10.40 0.44 0.61
4 A2 221 211 0.00 0.12 0.75 0.86
5 B2 675 646 122.23 3.33 0.75 0.86
6 B2 340 326 0.19 11.42 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1232.7 cm-1
Scaled (by 0.9571) Zero Point Vibrational Energy (zpe) 1179.8 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 B1B95/cc-pVTZ
ABC
0.15763 0.07407 0.05039

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.046 0.914
S2 0.000 -1.046 0.914
S3 0.000 1.570 -0.914
S4 0.000 -1.570 -0.914

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.09101.90273.1918
S22.09103.19181.9027
S31.90273.19183.1407
S43.19181.90273.1407

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 106.011 S1 S3 S4 73.989
S2 S1 S3 106.011 S2 S4 S3 73.989
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.134      
2 S 0.134      
3 S -0.134      
4 S -0.134      


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 1.447 1.447
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.844 0.000 0.000
y 0.000 -52.826 0.000
z 0.000 0.000 -48.081
Traceless
 xyz
x -0.391 0.000 0.000
y 0.000 -3.363 0.000
z 0.000 0.000 3.754
Polar
3z2-r27.508
x2-y21.981
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.774 0.000 0.000
y 0.000 17.991 0.000
z 0.000 0.000 11.765


<r2> (average value of r2) Å2
<r2> 199.003
(<r2>)1/2 14.107

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B1B95/cc-pVTZ
 hartrees
Energy at 0K-1593.018446
Energy at 298.15K 
HF Energy-1593.018446
Nuclear repulsion energy338.924991
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 B1B95/cc-pVTZ
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 761 728 0.00 33.09 0.20 0.33
2 Ag 308 295 0.00 37.22 0.24 0.39
3 Au 257 246 0.00 0.00 0.00 0.00
4 B1u 701 671 129.97 0.00 0.00 0.00
5 B2u 160i 153i 18.70 0.00 0.00 0.00
6 B3g 345 330 0.00 13.06 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1106.1 cm-1
Scaled (by 0.9571) Zero Point Vibrational Energy (zpe) 1058.6 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 B1B95/cc-pVTZ
ABC
0.14863 0.08450 0.05387

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.942 1.249
S2 0.000 0.942 -1.249
S3 0.000 -0.942 1.249
S4 0.000 -0.942 -1.249

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.49791.88343.1284
S22.49793.12841.8834
S31.88343.12842.4979
S43.12841.88342.4979

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 B1B95/cc-pVTZ 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 -51.169 0.000 0.000
y 0.000 -47.465 0.000
z 0.000 0.000 -52.363
Traceless
 xyz
x -1.255 0.000 0.000
y 0.000 4.301 0.000
z 0.000 0.000 -3.046
Polar
3z2-r2-6.092
x2-y2-3.704
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.755 0.000 0.000
y 0.000 12.247 0.000
z 0.000 0.000 17.097


<r2> (average value of r2) Å2
<r2> 188.027
(<r2>)1/2 13.712