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

using model chemistry: TPSSh/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.863243
Energy at 298.15K 
HF Energy-722.863243
Nuclear repulsion energy90.571631
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/6-311+G(3df,2p)
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 280 280 0.00 220.06 0.08 0.15
2 Σu 426 426 101.46 0.00 0.00 0.00
3 Πu 39i 39i 61.52 0.00 0.00 0.00
3 Πu 39i 39i 61.52 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 314.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 314.3 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 TPSSh/6-311+G(3df,2p)
B
0.06312

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

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 2.410
Na3 0.000 0.000 -2.410

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41012.4101
Na22.41014.8202
Na32.41014.8202

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.252      
2 Na 0.126      
3 Na 0.126      


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 13.307 0.000 0.000
y 0.000 13.307 0.000
z 0.000 0.000 22.539


<r2> (average value of r2) Å2
<r2> 136.980
(<r2>)1/2 11.704

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.864506
Energy at 298.15K 
HF Energy-722.864506
Nuclear repulsion energy91.438509
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/6-311+G(3df,2p)
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 303 303 14.68 282.54 0.07 0.13
2 A1 49 49 37.61 8.03 0.75 0.86
3 B2 393 393 80.04 13.04 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 372.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 372.3 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 TPSSh/6-311+G(3df,2p)
ABC
0.71211 0.07872 0.07088

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.649
Na2 0.000 2.158 -0.472
Na3 0.000 -2.158 -0.472

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.43162.4316
Na22.43164.3162
Na32.43164.3162

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 125.127
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.435      
2 Na 0.217      
3 Na 0.217      


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 -5.917 5.917
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 13.611 0.000 0.000
y 0.000 22.241 0.000
z 0.000 0.000 15.296


<r2> (average value of r2) Å2
<r2> 125.235
(<r2>)1/2 11.191