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

using model chemistry: B97D3/aug-cc-pV(T+d)Z

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 B97D3/aug-cc-pV(T+d)Z
 hartrees
Energy at 0K-722.817847
Energy at 298.15K 
HF Energy-722.817847
Nuclear repulsion energy89.433164
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 B97D3/aug-cc-pV(T+d)Z
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 263 263 0.00      
2 Σu 404 404 89.92      
3 Πu 47i 47i 55.71      
3 Πu 47i 47i 55.71      

Unscaled Zero Point Vibrational Energy (zpe) 286.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 286.7 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 B97D3/aug-cc-pV(T+d)Z
B
0.06154

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pV(T+d)Z

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 2.441
Na3 0.000 0.000 -2.441

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44082.4408
Na22.44084.8815
Na32.44084.8815

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 B97D3/aug-cc-pV(T+d)Z Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.662      
2 Na 0.331      
3 Na 0.331      


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 -31.327 0.000 0.000
y 0.000 -31.327 0.000
z 0.000 0.000 17.218
Traceless
 xyz
x -24.272 0.000 0.000
y 0.000 -24.272 0.000
z 0.000 0.000 48.545
Polar
3z2-r297.090
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 16.305 0.000 0.000
y 0.000 16.305 0.000
z 0.000 0.000 27.262


<r2> (average value of r2) Å2
<r2> 140.521
(<r2>)1/2 11.854

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B97D3/aug-cc-pV(T+d)Z
 hartrees
Energy at 0K-722.820033
Energy at 298.15K 
HF Energy-722.820033
Nuclear repulsion energy90.321014
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 B97D3/aug-cc-pV(T+d)Z
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 287 287 13.25      
2 A1 56 56 31.46      
3 B2 364 364 66.01      

Unscaled Zero Point Vibrational Energy (zpe) 353.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 353.3 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 B97D3/aug-cc-pV(T+d)Z
ABC
0.59358 0.07973 0.07029

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pV(T+d)Z

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.710
Na2 0.000 2.144 -0.517
Na3 0.000 -2.144 -0.517

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.47072.4707
Na22.47074.2888
Na32.47074.2888

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 120.438
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pV(T+d)Z Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.883      
2 Na 0.441      
3 Na 0.441      


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
Primitive
 xyz
x -31.508 0.000 0.000
y 0.000 5.041 0.000
z 0.000 0.000 -30.231
Traceless
 xyz
x -18.913 0.000 0.000
y 0.000 35.911 0.000
z 0.000 0.000 -16.998
Polar
3z2-r2-33.996
x2-y2-36.550
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.110 0.000 0.000
y 0.000 27.426 0.000
z 0.000 0.000 18.423


<r2> (average value of r2) Å2
<r2> 126.921
(<r2>)1/2 11.266