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

using model chemistry: wB97X-D/CEP-31G*

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/CEP-31G*
 hartrees
Energy at 0K-10.605109
Energy at 298.15K 
HF Energy-10.605109
Nuclear repulsion energy2.710530
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/CEP-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 270 270 0.00 14.09 0.06 0.11
2 Σu 418 418 141.32 0.00 0.00 0.00
3 Πu 20i 20i 75.35 0.00 0.00 0.00
3 Πu 20i 20i 75.35 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 323.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 323.8 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 wB97X-D/CEP-31G*
B
0.06156

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-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 2.440
Na3 0.000 0.000 -2.440

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44042.4404
Na22.44044.8808
Na32.44044.8808

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/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.760      
2 Na 0.380      
3 Na 0.380      


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 -24.516 0.000 0.000
y 0.000 -24.516 0.000
z 0.000 0.000 26.085
Traceless
 xyz
x -25.301 0.000 0.000
y 0.000 -25.301 0.000
z 0.000 0.000 50.601
Polar
3z2-r2101.202
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 10.586 0.000 0.000
y 0.000 10.586 0.000
z 0.000 0.000 22.068


<r2> (average value of r2) Å2
<r2> 16.688
(<r2>)1/2 4.085

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/CEP-31G*
 hartrees
Energy at 0K-10.605451
Energy at 298.15K 
HF Energy-10.605451
Nuclear repulsion energy2.699729
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/CEP-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 283 283 11.11 183.94 0.11 0.21
2 A1 41 41 54.56 5.62 0.59 0.74
3 B2 397 397 127.47 0.81 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 360.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 360.4 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 wB97X-D/CEP-31G*
ABC
1.15659 0.06964 0.06569

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.509
Na2 0.000 2.294 -0.370
Na3 0.000 -2.294 -0.370

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.45712.4571
Na22.45714.5889
Na32.45714.5889

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 138.071
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.725      
2 Na 0.363      
3 Na 0.363      


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 -5.029 5.029
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.834 0.000 0.000
y 0.000 20.071 0.000
z 0.000 0.000 -24.116
Traceless
 xyz
x -22.812 0.000 0.000
y 0.000 44.547 0.000
z 0.000 0.000 -21.734
Polar
3z2-r2-43.469
x2-y2-44.906
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.037 0.000 0.000
y 0.000 21.466 0.000
z 0.000 0.000 11.972


<r2> (average value of r2) Å2
<r2> 18.370
(<r2>)1/2 4.286