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

using model chemistry: wB97X-D/aug-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 wB97X-D/aug-cc-pVQZ
 hartrees
Energy at 0K-722.842669
Energy at 298.15K 
HF Energy-722.842669
Nuclear repulsion energy90.265153
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/aug-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 280 280 0.00 102.21 0.03 0.06
2 Σu 424 424 132.27 0.00 0.00 0.00
3 Πu 19i 19i 80.59 0.00 0.00 0.00
3 Πu 19i 19i 80.59 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 332.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 332.9 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 wB97X-D/aug-cc-pVQZ
B
0.06269

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-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 2.418
Na3 0.000 0.000 -2.418

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41832.4183
Na22.41834.8365
Na32.41834.8365

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/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.449      
2 Na -0.224      
3 Na -0.224      


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 -30.819 0.000 0.000
y 0.000 -30.819 0.000
z 0.000 0.000 21.069
Traceless
 xyz
x -25.944 0.000 0.000
y 0.000 -25.944 0.000
z 0.000 0.000 51.889
Polar
3z2-r2103.778
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 13.423 0.000 0.000
y 0.000 13.423 0.000
z 0.000 0.000 17.248


<r2> (average value of r2) Å2
<r2> 137.103
(<r2>)1/2 11.709

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/aug-cc-pVQZ
 hartrees
Energy at 0K-722.842911
Energy at 298.15K 
HF Energy-722.842911
Nuclear repulsion energy90.759342
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/aug-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 296 296 13.63 134.96 0.03 0.06
2 A1 34 34 61.87 1.38 0.36 0.53
3 B2 415 415 118.71 1.45 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 372.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 372.4 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/aug-cc-pVQZ
ABC
1.41379 0.06981 0.06652

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.460
Na2 0.000 2.292 -0.335
Na3 0.000 -2.292 -0.335

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42572.4257
Na22.42574.5834
Na32.42574.5834

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 141.730
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.454      
2 Na 0.227      
3 Na 0.227      


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 -4.756 4.756
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.905 0.000 0.000
y 0.000 15.654 0.000
z 0.000 0.000 -30.269
Traceless
 xyz
x -23.598 0.000 0.000
y 0.000 46.241 0.000
z 0.000 0.000 -22.643
Polar
3z2-r2-45.286
x2-y2-46.559
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.541 0.000 0.000
y 0.000 17.297 0.000
z 0.000 0.000 14.099


<r2> (average value of r2) Å2
<r2> 130.876
(<r2>)1/2 11.440