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

using model chemistry: LSDA/cc-pCVTZ

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 LSDA/cc-pCVTZ
 hartrees
Energy at 0K-1588.719714
Energy at 298.15K 
HF Energy-1588.719714
Nuclear repulsion energy354.423519
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 LSDA/cc-pCVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 532 532 0.00      
2 A1 219 219 0.00      
3 B1 441 441 0.00      
4 B2 285 285 0.00      
5 E 419 419 0.12      
5 E 419 419 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 1156.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1156.8 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 LSDA/cc-pCVTZ
ABC
0.11977 0.11977 0.06641

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.409 0.329
S2 0.000 -1.409 0.329
S3 -1.409 0.000 -0.329
S4 1.409 0.000 -0.329

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.81762.09812.0981
S22.81762.09812.0981
S32.09812.09812.8176
S42.09812.09812.8176

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 47.821 S1 S3 S4 47.821
S2 S1 S3 47.821 S2 S4 S3 47.821
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pCVTZ 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 -48.766 0.000 0.000
y 0.000 -48.766 0.000
z 0.000 0.000 -53.884
Traceless
 xyz
x 2.559 0.000 0.000
y 0.000 2.559 0.000
z 0.000 0.000 -5.118
Polar
3z2-r2-10.236
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 11.350 0.000 0.000
y 0.000 11.350 0.000
z 0.000 0.000 6.888


<r2> (average value of r2) Å2
<r2> 165.471
(<r2>)1/2 12.864

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at LSDA/cc-pCVTZ
 hartrees
Energy at 0K-1588.761413
Energy at 298.15K 
HF Energy-1588.761413
Nuclear repulsion energy338.220036
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 LSDA/cc-pCVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 717 717 2.58      
2 A1 328 328 4.02      
3 A1 98 98 4.58      
4 A2 241 241 0.00      
5 B2 681 681 82.77      
6 B2 340 340 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1202.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1202.0 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 LSDA/cc-pCVTZ
ABC
0.15173 0.08097 0.05280

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.103 0.932
S2 0.000 -1.103 0.932
S3 0.000 1.428 -0.932
S4 0.000 -1.428 -0.932

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.20631.89223.1434
S22.20633.14341.8922
S31.89223.14342.8558
S43.14341.89222.8558

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 99.883 S1 S3 S4 80.117
S2 S1 S3 99.883 S2 S4 S3 80.117
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.079      
2 S 0.079      
3 S -0.079      
4 S -0.079      


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 0.886 0.886
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.167 0.000 0.000
y 0.000 -52.773 0.000
z 0.000 0.000 -47.885
Traceless
 xyz
x -0.839 0.000 0.000
y 0.000 -3.246 0.000
z 0.000 0.000 4.085
Polar
3z2-r28.169
x2-y21.605
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.911 0.000 0.000
y 0.000 16.872 0.000
z 0.000 0.000 12.218


<r2> (average value of r2) Å2
<r2> 191.393
(<r2>)1/2 13.834

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at LSDA/cc-pCVTZ
 hartrees
Energy at 0K-1588.760664
Energy at 298.15K 
HF Energy-1588.760664
Nuclear repulsion energy339.640568
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 LSDA/cc-pCVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 736 736 0.00      
2 Ag 306 306 0.00      
3 Au 256 256 0.00      
4 B1u 687 687 83.15      
5 B2u 84i 84i 12.47      
6 B3g 343 343 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1122.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1122.1 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 LSDA/cc-pCVTZ
ABC
0.14824 0.08549 0.05422

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.943 1.242
S2 0.000 0.943 -1.242
S3 0.000 -0.943 1.242
S4 0.000 -0.943 -1.242

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.48351.88593.1184
S22.48353.11841.8859
S31.88593.11842.4835
S43.11841.88592.4835

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 LSDA/cc-pCVTZ 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 -51.305 0.000 0.000
y 0.000 -47.616 0.000
z 0.000 0.000 -52.694
Traceless
 xyz
x -1.150 0.000 0.000
y 0.000 4.383 0.000
z 0.000 0.000 -3.233
Polar
3z2-r2-6.466
x2-y2-3.689
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.904 0.000 0.000
y 0.000 12.398 0.000
z 0.000 0.000 16.576


<r2> (average value of r2) Å2
<r2> 187.159
(<r2>)1/2 13.681