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

using model chemistry: PBEPBEultrafine/aug-cc-pCVTZ

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 PBEPBEultrafine/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.466851
Energy at 298.15K 
HF Energy-722.466851
Nuclear repulsion energy90.398801
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 PBEPBEultrafine/aug-cc-pCVTZ
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 273 273 0.00      
2 Σu 418 418 85.55      
3 Πu 52i 52i 53.02      
3 Πu 52i 52i 53.02      

Unscaled Zero Point Vibrational Energy (zpe) 293.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 293.0 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 PBEPBEultrafine/aug-cc-pCVTZ
B
0.06288

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pCVTZ

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 2.415
Na3 0.000 0.000 -2.415

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41472.4147
Na22.41474.8294
Na32.41474.8294

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 PBEPBEultrafine/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.757      
2 Na 0.378      
3 Na 0.378      


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 -31.183 0.000 0.000
y 0.000 -31.183 0.000
z 0.000 0.000 15.392
Traceless
 xyz
x -23.288 0.000 0.000
y 0.000 -23.288 0.000
z 0.000 0.000 46.575
Polar
3z2-r293.151
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 15.166 0.000 0.000
y 0.000 15.166 0.000
z 0.000 0.000 26.994


<r2> (average value of r2) Å2
<r2> 138.056
(<r2>)1/2 11.750

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBEultrafine/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.469814
Energy at 298.15K 
HF Energy-722.469814
Nuclear repulsion energy91.540044
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 PBEPBEultrafine/aug-cc-pCVTZ
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 14.61      
2 A1 60 60 26.95      
3 B2 372 372 62.57      

Unscaled Zero Point Vibrational Energy (zpe) 367.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 367.0 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 PBEPBEultrafine/aug-cc-pCVTZ
ABC
0.53995 0.08472 0.07323

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pCVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.745
Na2 0.000 2.080 -0.542
Na3 0.000 -2.080 -0.542

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44612.4461
Na22.44614.1607
Na32.44614.1607

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 116.527
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.827      
2 Na 0.414      
3 Na 0.414      


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 -6.313 6.313
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.327 0.000 0.000
y 0.000 2.179 0.000
z 0.000 0.000 -29.876
Traceless
 xyz
x -17.479 0.000 0.000
y 0.000 32.781 0.000
z 0.000 0.000 -15.302
Polar
3z2-r2-30.603
x2-y2-33.507
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.776 0.000 0.000
y 0.000 25.763 0.000
z 0.000 0.000 17.216


<r2> (average value of r2) Å2
<r2> 122.835
(<r2>)1/2 11.083