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

using model chemistry: wB97X-D/SDD

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/SDD
 hartrees
Energy at 0K-722.757271
Energy at 298.15K-722.757973
HF Energy-722.757271
Nuclear repulsion energy90.438475
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/SDD
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 282 282 0.00 312.52 0.08 0.15
2 Σu 434 434 141.76 0.00 0.00 0.00
3 Πu 23 23 73.11 0.00 0.00 0.00
3 Πu 23 23 73.11 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 381.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 381.1 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/SDD
B
0.06293

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

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 2.414
Na3 0.000 0.000 -2.414

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41362.4136
Na22.41364.8273
Na32.41364.8273

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/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.030      
2 Na 0.515      
3 Na 0.515      


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 -31.121 0.000 0.000
y 0.000 -31.121 0.000
z 0.000 0.000 17.244
Traceless
 xyz
x -24.183 0.000 0.000
y 0.000 -24.183 0.000
z 0.000 0.000 48.365
Polar
3z2-r296.730
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 10.565 0.000 0.000
y 0.000 10.565 0.000
z 0.000 0.000 24.612


<r2> (average value of r2) Å2
<r2> 137.533
(<r2>)1/2 11.727

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/SDD
 hartrees
Energy at 0K-722.757271
Energy at 298.15K 
HF Energy-722.757271
Nuclear repulsion energy90.438853
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/SDD
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 282 282 0.00 312.52 0.08 0.15
2 Σu 434 434 141.75 0.00 0.00 0.00
3 Πu 23 23 73.11 0.00 0.00 0.00
3 Πu 23 23 73.11 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 381.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 381.1 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/SDD
B
0.06293

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

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 -2.414
Na3 0.000 0.000 2.414

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41362.4136
Na22.41364.8273
Na32.41364.8273

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 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.030      
2 Na 0.515      
3 Na 0.515      


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 -31.121 0.000 0.000
y 0.000 -31.121 0.000
z 0.000 0.000 17.244
Traceless
 xyz
x -24.182 0.000 0.000
y 0.000 -24.182 0.000
z 0.000 0.000 48.365
Polar
3z2-r296.730
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 10.565 0.000 0.000
y 0.000 10.565 0.000
z 0.000 0.000 24.611


<r2> (average value of r2) Å2
<r2> 137.532
(<r2>)1/2 11.727