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

using model chemistry: HF/SDD

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 HF/SDD
 hartrees
Energy at 0K-1589.827313
Energy at 298.15K 
HF Energy-1589.827313
Nuclear repulsion energy319.905488
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 HF/SDD
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 474 427 0.00 100.18 0.08 0.15
2 A1 131 118 0.00 8.67 0.73 0.84
3 B1 445 401 0.00 48.95 0.75 0.86
4 B2 300 270 0.50 16.49 0.75 0.86
5 E 417 375 1.64 12.25 0.75 0.86
5 E 417 375 1.64 12.25 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1091.6 cm-1
Scaled (by 0.9004) Zero Point Vibrational Energy (zpe) 982.9 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 HF/SDD
ABC
0.09850 0.09850 0.05275

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.581 0.298
S2 0.000 -1.581 0.298
S3 -1.581 0.000 -0.298
S4 1.581 0.000 -0.298

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S13.16172.31362.3136
S23.16172.31362.3136
S32.31362.31363.1617
S42.31362.31363.1617

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 46.900 S1 S3 S4 46.900
S2 S1 S3 46.900 S2 S4 S3 46.900
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/SDD 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 -52.900 0.000 0.000
y 0.000 -52.900 0.000
z 0.000 0.000 -57.369
Traceless
 xyz
x 2.235 0.000 0.000
y 0.000 2.235 0.000
z 0.000 0.000 -4.469
Polar
3z2-r2-8.939
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 13.550 0.000 0.000
y 0.000 13.550 0.000
z 0.000 0.000 3.502


<r2> (average value of r2) Å2
<r2> 199.587
(<r2>)1/2 14.128

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at HF/SDD
 hartrees
Energy at 0K-1589.773349
Energy at 298.15K 
HF Energy-1589.773349
Nuclear repulsion energy310.402010
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 HF/SDD
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 512 461 1.66 114.95 0.70 0.82
2 A1 442 398 4.62 1690.03 0.30 0.46
3 A1 126 113 0.70 77.01 0.41 0.58
4 A2 159 143 0.00 2.73 0.75 0.86
5 B2 409 368 528.45 10.83 0.75 0.86
6 B2 285 256 1.63 13.58 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 965.9 cm-1
Scaled (by 0.9004) Zero Point Vibrational Energy (zpe) 869.7 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 HF/SDD
ABC
0.13246 0.06408 0.04319

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.080 0.998
S2 0.000 -1.080 0.998
S3 0.000 1.717 -0.998
S4 0.000 -1.717 -0.998

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.15942.09453.4355
S22.15943.43552.0945
S32.09453.43553.4343
S43.43552.09453.4343

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 107.719 S1 S3 S4 72.281
S2 S1 S3 107.719 S2 S4 S3 72.281
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.061      
2 S 0.061      
3 S -0.061      
4 S -0.061      


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 1.464 1.464
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.486 0.000 0.000
y 0.000 -57.393 0.000
z 0.000 0.000 -53.856
Traceless
 xyz
x 2.139 0.000 0.000
y 0.000 -3.722 0.000
z 0.000 0.000 1.584
Polar
3z2-r23.167
x2-y23.907
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.552 0.000 0.000
y 0.000 29.302 0.000
z 0.000 0.000 12.237


<r2> (average value of r2) Å2
<r2> 229.646
(<r2>)1/2 15.154

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at HF/SDD
 hartrees
Energy at 0K-1589.752505
Energy at 298.15K 
HF Energy-1589.752505
Nuclear repulsion energy317.639251
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 HF/SDD
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 644 579 0.00 44.85 0.63 0.77
2 Ag 338 305 0.00 3923.05 0.33 0.49
3 Au 226 204 0.00 0.00 0.00 0.00
4 B1u 607 546 52.56 0.00 0.00 0.00
5 B2u 307i 276i 24.52 0.00 0.00 0.00
6 B3g 299 269 0.00 39.41 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 903.6 cm-1
Scaled (by 0.9004) Zero Point Vibrational Energy (zpe) 813.6 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 HF/SDD
ABC
0.12939 0.07493 0.04745

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.009 1.326
S2 0.000 1.009 -1.326
S3 0.000 -1.009 1.326
S4 0.000 -1.009 -1.326

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.65272.01863.3334
S22.65273.33342.0186
S32.01863.33342.6527
S43.33342.01862.6527

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 HF/SDD 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 -53.606 0.000 0.000
y 0.000 -53.910 0.000
z 0.000 0.000 -56.432
Traceless
 xyz
x 1.564 0.000 0.000
y 0.000 1.109 0.000
z 0.000 0.000 -2.674
Polar
3z2-r2-5.347
x2-y20.303
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.514 0.000 0.000
y 0.000 12.784 0.000
z 0.000 0.000 11.494


<r2> (average value of r2) Å2
<r2> 211.915
(<r2>)1/2 14.557