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All results from a given calculation for Na2S (Sodium sulfide)

using model chemistry: wB97X-D/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 1ΣG
1 2 no C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at wB97X-D/6-31G
 hartrees
Energy at 0K-722.757369
Energy at 298.15K-722.758089
HF Energy-722.757369
Nuclear repulsion energy90.321544
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 wB97X-D/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 276 276 0.00 238.75 0.08 0.15
2 Σu 426 426 134.61 0.00 0.00 0.00
3 Πu 31 31 83.87 0.00 0.00 0.00
3 Πu 31 31 83.87 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 381.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 381.9 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 wB97X-D/6-31G
B
0.06277

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
Na2 0.000 0.000 2.417
Na3 0.000 0.000 -2.417

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41682.4168
Na22.41684.8335
Na32.41684.8335

picture of Sodium sulfide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 S1 Na3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.195      
2 Na 0.598      
3 Na 0.598      


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 -30.914 0.000 0.000
y 0.000 -30.914 0.000
z 0.000 0.000 19.025
Traceless
 xyz
x -24.969 0.000 0.000
y 0.000 -24.969 0.000
z 0.000 0.000 49.939
Polar
3z2-r299.877
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 9.886 0.000 0.000
y 0.000 9.886 0.000
z 0.000 0.000 22.136


<r2> (average value of r2) Å2
<r2> 137.408
(<r2>)1/2 11.722

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/6-31G
 hartrees
Energy at 0K-722.757369
Energy at 298.15K 
HF Energy-722.757369
Nuclear repulsion energy90.300320
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 wB97X-D/6-31G
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 276 276 0.00 239.18 0.08 0.15
2 A1 32 32 83.84 0.00 0.26 0.42
3 B2 426 426 134.68 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 366.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 366.3 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 wB97X-D/6-31G
B
0.06274

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
Na2 0.000 2.417 -0.000
Na3 0.000 -2.417 -0.000

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41732.4173
Na22.41734.8347
Na32.41734.8347

picture of Sodium sulfide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 S1 Na3 179.997
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.195      
2 Na 0.597      
3 Na 0.597      


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 -30.916 0.000 0.000
y 0.000 19.043 0.000
z 0.000 0.000 -30.916
Traceless
 xyz
x -24.979 0.000 0.000
y 0.000 49.959 0.000
z 0.000 0.000 -24.979
Polar
3z2-r2-49.959
x2-y2-49.959
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.891 0.000 0.000
y 0.000 22.151 0.000
z 0.000 0.000 9.891


<r2> (average value of r2) Å2
<r2> 137.465
(<r2>)1/2 11.725