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

using model chemistry: MP2=FULL/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 no C2V 1A1
1 3 yes D2H 1AG

Conformer 1 (D2D)

Jump to S1C2 S1C3
Energy calculated at MP2=FULL/cc-pV(T+d)Z
 hartrees
Energy at 0K-1591.240665
Energy at 298.15K 
HF Energy-1590.156103
Nuclear repulsion energy354.783272
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 MP2=FULL/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 547 519 0.00      
2 A1 217 206 0.00      
3 B1 489 463 0.00      
4 B2 305 289 0.00      
5 E 459 435 0.01      
5 E 459 435 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 1237.9 cm-1
Scaled (by 0.9481) Zero Point Vibrational Energy (zpe) 1173.6 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 MP2=FULL/cc-pV(T+d)Z
ABC
0.12012 0.12012 0.06640

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/cc-pV(T+d)Z

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.409 0.324
S2 0.000 -1.409 0.324
S3 -1.409 0.000 -0.324
S4 1.409 0.000 -0.324

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.81792.09512.0951
S22.81792.09512.0951
S32.09512.09512.8179
S42.09512.09512.8179

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 47.741 S1 S3 S4 47.741
S2 S1 S3 47.741 S2 S4 S3 47.741
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2V)

Jump to S1C1 S1C3
Energy calculated at MP2=FULL/cc-pV(T+d)Z
 hartrees
Energy at 0K-1591.307667
Energy at 298.15K 
HF Energy-1590.091776
Nuclear repulsion energy331.798374
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 MP2=FULL/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 676 641 0.00      
2 A1 437 414 0.12      
3 A1 240 227 0.00      
4 A2 238 226 0.00      
5 B2 2671 2532 1232279.00      
6 B2 321 305 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2291.3 cm-1
Scaled (by 0.9481) Zero Point Vibrational Energy (zpe) 2172.4 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 MP2=FULL/cc-pV(T+d)Z
ABC
0.14394 0.08009 0.05146

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 1.283 0.957
S2 0.000 -1.283 0.957
S3 0.000 1.283 -0.957
S4 0.000 -1.283 -0.957

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.56591.91393.2010
S22.56593.20101.9139
S31.91393.20102.5657
S43.20101.91392.5657

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 89.997 S1 S3 S4 90.003
S2 S1 S3 89.997 S2 S4 S3 90.003
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 3 (D2H)

Jump to S1C1 S1C2
Energy calculated at MP2=FULL/cc-pV(T+d)Z
 hartrees
Energy at 0K-1591.307667
Energy at 298.15K 
HF Energy-1590.091775
Nuclear repulsion energy331.817755
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 MP2=FULL/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 676 640 0.00      
2 Ag 240 228 0.00      
3 Au 238 226 0.00      
4 B1u 2624 2488 1140936.00      
5 B2u 438 415 0.12      
6 B3g 322 305 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2268.4 cm-1
Scaled (by 0.9481) Zero Point Vibrational Energy (zpe) 2150.7 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 MP2=FULL/cc-pV(T+d)Z
ABC
0.14392 0.08012 0.05147

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/cc-pV(T+d)Z

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.957 1.283
S2 0.000 0.957 -1.283
S3 0.000 -0.957 1.283
S4 0.000 -0.957 -1.283

Atom - Atom Distances (Å)
  S1 S2 S3 S4
S12.56531.91413.2007
S22.56533.20071.9141
S31.91413.20072.5653
S43.20071.91412.5653

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