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

using model chemistry: wB97X-D/CEP-121G*

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-121G*
 hartrees
Energy at 0K-10.608169
Energy at 298.15K 
HF Energy-10.608169
Nuclear repulsion energy2.725570
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-121G*
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 274 274 0.00 164.24 0.09 0.17
2 Σu 416 416 130.30 0.00 0.00 0.00
3 Πu 31i 31i 75.42 0.00 0.00 0.00
3 Πu 31i 31i 75.42 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 313.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 313.8 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-121G*
B
0.06225

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G*

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 2.427
Na3 0.000 0.000 -2.427

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42692.4269
Na22.42694.8538
Na32.42694.8538

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-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.075      
2 Na 0.538      
3 Na 0.538      


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 -24.282 0.000 0.000
y 0.000 -24.282 0.000
z 0.000 0.000 26.568
Traceless
 xyz
x -25.425 0.000 0.000
y 0.000 -25.425 0.000
z 0.000 0.000 50.850
Polar
3z2-r2101.700
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 10.746 0.000 0.000
y 0.000 10.746 0.000
z 0.000 0.000 22.464


<r2> (average value of r2) Å2
<r2> 16.359
(<r2>)1/2 4.045

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/CEP-121G*
 hartrees
Energy at 0K-10.609013
Energy at 298.15K 
HF Energy-10.609013
Nuclear repulsion energy2.719285
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-121G*
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 292 292 15.27 182.38 0.07 0.14
2 A1 45 45 48.91 7.43 0.72 0.84
3 B2 388 388 109.28 1.79 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 362.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 362.3 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/CEP-121G*
ABC
0.84997 0.07461 0.06859

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.594
Na2 0.000 2.217 -0.432
Na3 0.000 -2.217 -0.432

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44242.4424
Na22.44244.4334
Na32.44244.4334

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 130.347
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.999      
2 Na 0.500      
3 Na 0.500      


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 -5.923 5.923
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.516 0.000 0.000
y 0.000 17.948 0.000
z 0.000 0.000 -23.750
Traceless
 xyz
x -21.615 0.000 0.000
y 0.000 42.081 0.000
z 0.000 0.000 -20.466
Polar
3z2-r2-40.932
x2-y2-42.464
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.285 0.000 0.000
y 0.000 21.297 0.000
z 0.000 0.000 12.525


<r2> (average value of r2) Å2
<r2> 18.628
(<r2>)1/2 4.316