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

using model chemistry: B3LYPultrafine/daug-cc-pVDZ

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 B3LYPultrafine/daug-cc-pVDZ
 hartrees
Energy at 0K-1592.809737
Energy at 298.15K 
HF Energy-1592.809737
Nuclear repulsion energy342.829409
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 B3LYPultrafine/daug-cc-pVDZ
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 498 498 0.00 47.48 0.05 0.09
2 A1 191 191 0.00 1.16 0.73 0.85
3 B1 428 428 0.00 20.35 0.75 0.86
4 B2 299 299 0.04 8.10 0.75 0.86
5 E 407 407 0.06 3.53 0.75 0.86
5 E 407 407 0.06 3.53 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1114.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1114.5 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 B3LYPultrafine/daug-cc-pVDZ
ABC
0.11249 0.11249 0.06151

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/daug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.464 0.317
S2 0.000 -1.464 0.317
S3 -1.464 0.000 -0.317
S4 1.464 0.000 -0.317

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.92782.16502.1650
S22.92782.16502.1650
S32.16502.16502.9278
S42.16502.16502.9278

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 47.456 S1 S3 S4 47.456
S2 S1 S3 47.456 S2 S4 S3 47.456
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/daug-cc-pVDZ 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 -49.235 0.000 0.000
y 0.000 -49.235 0.000
z 0.000 0.000 -55.432
Traceless
 xyz
x 3.098 0.000 0.000
y 0.000 3.098 0.000
z 0.000 0.000 -6.197
Polar
3z2-r2-12.394
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 13.385 0.000 0.000
y 0.000 13.385 0.000
z 0.000 0.000 9.269


<r2> (average value of r2) Å2
<r2> 175.612
(<r2>)1/2 13.252

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3LYPultrafine/daug-cc-pVDZ
 hartrees
Energy at 0K-1592.838264
Energy at 298.15K 
HF Energy-1592.838264
Nuclear repulsion energy326.025408
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 B3LYPultrafine/daug-cc-pVDZ
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 663 663 3.91 34.60 0.07 0.13
2 A1 337 337 5.88 34.73 0.15 0.26
3 A1 109 109 0.93 10.17 0.39 0.56
4 A2 204 204 0.00 0.12 0.75 0.86
5 B2 637 637 116.49 3.37 0.75 0.86
6 B2 320 320 0.09 8.89 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1134.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1134.7 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 B3LYPultrafine/daug-cc-pVDZ
ABC
0.14997 0.06995 0.04770

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/daug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.096 0.938
S2 0.000 -1.096 0.938
S3 0.000 1.603 -0.938
S4 0.000 -1.603 -0.938

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.19191.94233.2859
S22.19193.28591.9423
S31.94233.28593.2050
S43.28591.94233.2050

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 105.119 S1 S3 S4 74.881
S2 S1 S3 105.119 S2 S4 S3 74.881
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.164      
2 S 0.164      
3 S -0.164      
4 S -0.164      


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 1.257 1.257
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.284 0.000 0.000
y 0.000 -53.771 0.000
z 0.000 0.000 -48.817
Traceless
 xyz
x -0.990 0.000 0.000
y 0.000 -3.220 0.000
z 0.000 0.000 4.210
Polar
3z2-r28.421
x2-y21.487
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.461 0.000 0.000
y 0.000 20.749 0.000
z 0.000 0.000 13.734


<r2> (average value of r2) Å2
<r2> 209.105
(<r2>)1/2 14.460

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3LYPultrafine/daug-cc-pVDZ
 hartrees
Energy at 0K-1592.834653
Energy at 298.15K 
HF Energy-1592.834653
Nuclear repulsion energy328.922743
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 B3LYPultrafine/daug-cc-pVDZ
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 707 707 0.00 38.01 0.10 0.18
2 Ag 278 278 0.00 33.78 0.18 0.30
3 Au 233 233 0.00 0.00 0.00 0.00
4 B1u 655 655 121.23 0.00 0.00 0.00
5 B2u 123i 123i 13.31 0.00 0.00 0.00
6 B3g 323 323 0.00 9.50 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1036.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1036.3 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 B3LYPultrafine/daug-cc-pVDZ
ABC
0.14202 0.07837 0.05050

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/daug-cc-pVDZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.963 1.297
S2 0.000 0.963 -1.297
S3 0.000 -0.963 1.297
S4 0.000 -0.963 -1.297

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.59381.92683.2312
S22.59383.23121.9268
S31.92683.23122.5938
S43.23121.92682.5938

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 B3LYPultrafine/daug-cc-pVDZ 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 -52.509 0.000 0.000
y 0.000 -48.219 0.000
z 0.000 0.000 -53.303
Traceless
 xyz
x -1.748 0.000 0.000
y 0.000 4.687 0.000
z 0.000 0.000 -2.939
Polar
3z2-r2-5.878
x2-y2-4.290
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.436 0.000 0.000
y 0.000 14.088 0.000
z 0.000 0.000 19.782


<r2> (average value of r2) Å2
<r2> 199.117
(<r2>)1/2 14.111