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

using model chemistry: B3LYPultrafine/cc-pV(T+d)Z

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/cc-pV(T+d)Z
 hartrees
Energy at 0K-1592.873633
Energy at 298.15K 
HF Energy-1592.873633
Nuclear repulsion energy348.603962
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/cc-pV(T+d)Z
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 507 507 0.00      
2 A1 198 198 0.00      
3 B1 445 445 0.00      
4 B2 299 299 0.00      
5 E 416 416 0.03      
5 E 416 416 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 1140.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1140.8 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 B3LYPultrafine/cc-pV(T+d)Z
ABC
0.11633 0.11633 0.06357

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pV(T+d)Z

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.440 0.310
S2 0.000 -1.440 0.310
S3 -1.440 0.000 -0.310
S4 1.440 0.000 -0.310

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.88002.12902.1290
S22.88002.12902.1290
S32.12902.12902.8800
S42.12902.12902.8800

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 47.438 S1 S3 S4 47.438
S2 S1 S3 47.438 S2 S4 S3 47.438
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pV(T+d)Z 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 -48.869 0.000 0.000
y 0.000 -48.869 0.000
z 0.000 0.000 -54.380
Traceless
 xyz
x 2.755 0.000 0.000
y 0.000 2.755 0.000
z 0.000 0.000 -5.511
Polar
3z2-r2-11.022
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 11.552 0.000 0.000
y 0.000 11.552 0.000
z 0.000 0.000 6.652


<r2> (average value of r2) Å2
<r2> 170.544
(<r2>)1/2 13.059

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at B3LYPultrafine/cc-pV(T+d)Z
 hartrees
Energy at 0K-1592.904615
Energy at 298.15K 
HF Energy-1592.904615
Nuclear repulsion energy330.349457
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/cc-pV(T+d)Z
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 676 676 6.35      
2 A1 372 372 4.92      
3 A1 107 107 0.23      
4 A2 211 211 0.00      
5 B2 649 649 120.13      
6 B2 334 334 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 1174.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1174.4 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 B3LYPultrafine/cc-pV(T+d)Z
ABC
0.15880 0.06935 0.04827

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.057 0.911
S2 0.000 -1.057 0.911
S3 0.000 1.638 -0.911
S4 0.000 -1.638 -0.911

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.11471.91253.2536
S22.11473.25361.9125
S31.91253.25363.2764
S43.25361.91253.2764

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 107.681 S1 S3 S4 72.319
S2 S1 S3 107.681 S2 S4 S3 72.319
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pV(T+d)Z Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.130      
2 S 0.130      
3 S -0.130      
4 S -0.130      


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 1.399 1.399
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.241 0.000 0.000
y 0.000 -53.244 0.000
z 0.000 0.000 -48.688
Traceless
 xyz
x -0.275 0.000 0.000
y 0.000 -3.279 0.000
z 0.000 0.000 3.554
Polar
3z2-r27.108
x2-y22.003
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.809 0.000 0.000
y 0.000 18.684 0.000
z 0.000 0.000 11.903


<r2> (average value of r2) Å2
<r2> 206.666
(<r2>)1/2 14.376

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at B3LYPultrafine/cc-pV(T+d)Z
 hartrees
Energy at 0K-1592.898410
Energy at 298.15K 
HF Energy-1592.898410
Nuclear repulsion energy334.204322
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/cc-pV(T+d)Z
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 726 726 0.00      
2 Ag 283 283 0.00      
3 Au 247 247 0.00      
4 B1u 669 669 124.26      
5 B2u 146i 146i 15.27      
6 B3g 336 336 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 1057.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1057.3 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/cc-pV(T+d)Z
ABC
0.14689 0.08075 0.05210

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pV(T+d)Z

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.947 1.278
S2 0.000 0.947 -1.278
S3 0.000 -0.947 1.278
S4 0.000 -0.947 -1.278

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.55531.89463.1811
S22.55533.18111.8946
S31.89463.18112.5553
S43.18111.89462.5553

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/cc-pV(T+d)Z 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 -51.600 0.000 0.000
y 0.000 -47.918 0.000
z 0.000 0.000 -52.802
Traceless
 xyz
x -1.240 0.000 0.000
y 0.000 4.282 0.000
z 0.000 0.000 -3.043
Polar
3z2-r2-6.085
x2-y2-3.681
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.793 0.000 0.000
y 0.000 12.476 0.000
z 0.000 0.000 17.589


<r2> (average value of r2) Å2
<r2> 193.622
(<r2>)1/2 13.915