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

using model chemistry: wB97X-D/6-31G(2df,p)

19 10 17 12 22

States and conformations

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

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-722.771920
Energy at 298.15K 
HF Energy-722.771920
Nuclear repulsion energy90.768751
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(2df,p)
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 281 281 0.00 148.26 0.09 0.16
2 Σu 426 426 137.39 0.00 0.00 0.00
3 Πu 32i 32i 69.33 0.00 0.00 0.00
3 Πu 32i 32i 69.33 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 321.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 321.6 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 wB97X-D/6-31G(2df,p)
B
0.06339

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

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 2.405
Na3 0.000 0.000 -2.405

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40492.4049
Na22.40494.8097
Na32.40494.8097

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.744      
2 Na 0.372      
3 Na 0.372      


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 -30.625 0.000 0.000
y 0.000 -30.625 0.000
z 0.000 0.000 19.144
Traceless
 xyz
x -24.884 0.000 0.000
y 0.000 -24.884 0.000
z 0.000 0.000 49.769
Polar
3z2-r299.538
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 11.516 0.000 0.000
y 0.000 11.516 0.000
z 0.000 0.000 19.001


<r2> (average value of r2) Å2
<r2> 136.000
(<r2>)1/2 11.662

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-722.772368
Energy at 298.15K 
HF Energy-722.772368
Nuclear repulsion energy91.318818
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(2df,p)
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 297 297 11.98 167.95 0.07 0.13
2 A1 38 38 53.29 2.42 0.66 0.79
3 B2 406 406 120.26 2.67 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 370.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 370.6 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 wB97X-D/6-31G(2df,p)
ABC
1.15290 0.07241 0.06814

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.510
Na2 0.000 2.250 -0.371
Na3 0.000 -2.250 -0.371

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41632.4163
Na22.41634.5002
Na32.41634.5002

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 137.256
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.719      
2 Na 0.359      
3 Na 0.359      


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 -4.937 4.937
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.686 0.000 0.000
y 0.000 12.924 0.000
z 0.000 0.000 -29.864
Traceless
 xyz
x -22.216 0.000 0.000
y 0.000 43.199 0.000
z 0.000 0.000 -20.983
Polar
3z2-r2-41.966
x2-y2-43.610
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.846 0.000 0.000
y 0.000 18.648 0.000
z 0.000 0.000 12.321


<r2> (average value of r2) Å2
<r2> 128.482
(<r2>)1/2 11.335