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

using model chemistry: B97D3/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 B97D3/cc-pVQZ
 hartrees
Energy at 0K-722.821361
Energy at 298.15K 
HF Energy-722.821361
Nuclear repulsion energy89.361525
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/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 257 257 0.00 418.99 0.07 0.14
2 Σu 395 395 88.74 0.00 0.00 0.00
3 Πu 50i 50i 53.23 0.00 0.00 0.00
3 Πu 50i 50i 53.23 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 276.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 276.3 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/cc-pVQZ
B
0.06144

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/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 2.443
Na3 0.000 0.000 -2.443

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44272.4427
Na22.44274.8855
Na32.44274.8855

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/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.235      
2 Na 0.118      
3 Na 0.118      


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 -31.395 0.000 0.000
y 0.000 -31.395 0.000
z 0.000 0.000 17.369
Traceless
 xyz
x -24.382 0.000 0.000
y 0.000 -24.382 0.000
z 0.000 0.000 48.764
Polar
3z2-r297.527
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 16.212 0.000 0.000
y 0.000 16.212 0.000
z 0.000 0.000 28.149


<r2> (average value of r2) Å2
<r2> 140.728
(<r2>)1/2 11.863

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B97D3/cc-pVQZ
 hartrees
Energy at 0K-722.823904
Energy at 298.15K 
HF Energy-722.823904
Nuclear repulsion energy90.288444
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/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 285 285 12.67 506.78 0.10 0.17
2 A1 58 58 30.09 14.48 0.65 0.79
3 B2 357 357 65.16 29.26 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 349.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 349.6 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/cc-pVQZ
ABC
0.56402 0.08075 0.07064

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVQZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.729
Na2 0.000 2.131 -0.530
Na3 0.000 -2.131 -0.530

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.47492.4749
Na22.47494.2616
Na32.47494.2616

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 118.849
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.408      
2 Na 0.204      
3 Na 0.204      


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 -6.245 6.245
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.625 0.000 0.000
y 0.000 4.524 0.000
z 0.000 0.000 -30.070
Traceless
 xyz
x -18.852 0.000 0.000
y 0.000 35.371 0.000
z 0.000 0.000 -16.519
Polar
3z2-r2-33.038
x2-y2-36.149
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.057 0.000 0.000
y 0.000 28.108 0.000
z 0.000 0.000 18.047


<r2> (average value of r2) Å2
<r2> 126.471
(<r2>)1/2 11.246