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

using model chemistry: TPSSh/cc-pVQZ

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 TPSSh/cc-pVQZ
 hartrees
Energy at 0K-722.893899
Energy at 298.15K 
HF Energy-722.893899
Nuclear repulsion energy90.407440
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 TPSSh/cc-pVQZ
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 277 277 0.00 229.71 0.08 0.15
2 Σu 422 422 99.42 0.00 0.00 0.00
3 Πu 45i 45i 63.11 0.00 0.00 0.00
3 Πu 45i 45i 63.11 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 304.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 304.9 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 TPSSh/cc-pVQZ
B
0.06289

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVQZ

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
S12.41452.4145
Na22.41454.8289
Na32.41454.8289

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 TPSSh/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.155      
2 Na 0.078      
3 Na 0.078      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.525 0.000 0.000
y 0.000 13.525 0.000
z 0.000 0.000 23.008


<r2> (average value of r2) Å2
<r2> 137.352
(<r2>)1/2 11.720

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at TPSSh/cc-pVQZ
 hartrees
Energy at 0K-722.895664
Energy at 298.15K 
HF Energy-722.895664
Nuclear repulsion energy91.368701
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 TPSSh/cc-pVQZ
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 302 302 14.72 289.24 0.07 0.14
2 A1 53 53 35.15 8.73 0.75 0.86
3 B2 387 387 77.38 15.46 0.75 0.86
4 A1 302 302 14.72      

Unscaled Zero Point Vibrational Energy (zpe) 522.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 522.5 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 TPSSh/cc-pVQZ
ABC
0.65508 0.08007 0.07135

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVQZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.676
Na2 0.000 2.140 -0.492
Na3 0.000 -2.140 -0.492

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.43792.4379
Na22.43794.2796
Na32.43794.2796

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 122.738
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.256      
2 Na 0.128      
3 Na 0.128      


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 -6.166 6.166
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.662 0.000 0.000
y 0.000 22.658 0.000
z 0.000 0.000 15.444


<r2> (average value of r2) Å2
<r2> 124.603
(<r2>)1/2 11.163