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

using model chemistry: B97D3/aug-cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-722.790993
Energy at 298.15K 
HF Energy-722.790993
Nuclear repulsion energy88.979354
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-pVDZ
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 259 259 0.00 484.55 0.07 0.13
2 Σu 398 398 93.14 0.00 0.00 0.00
3 Πu 60i 60i 52.70 0.00 0.00 0.00
3 Πu 60i 60i 52.70 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 267.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 267.6 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/aug-cc-pVDZ
B
0.06092

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

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 2.453
Na3 0.000 0.000 -2.453

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.45322.4532
Na22.45324.9064
Na32.45324.9064

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-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.241      
2 Na 0.621      
3 Na 0.621      


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 -31.713 0.000 0.000
y 0.000 -31.713 0.000
z 0.000 0.000 18.174
Traceless
 xyz
x -24.944 0.000 0.000
y 0.000 -24.944 0.000
z 0.000 0.000 49.887
Polar
3z2-r299.774
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 16.524 0.000 0.000
y 0.000 16.524 0.000
z 0.000 0.000 29.101


<r2> (average value of r2) Å2
<r2> 141.823
(<r2>)1/2 11.909

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B97D3/aug-cc-pVDZ
 hartrees
Energy at 0K-722.794582
Energy at 298.15K 
HF Energy-722.794582
Nuclear repulsion energy90.127163
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-pVDZ
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 288 288 15.71 557.54 0.09 0.16
2 A1 62 62 28.74 22.32 0.61 0.76
3 B2 355 355 62.12 41.07 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 352.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 352.5 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-pVDZ
ABC
0.51812 0.08237 0.07107

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.760
Na2 0.000 2.110 -0.553
Na3 0.000 -2.110 -0.553

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.48522.4852
Na22.48524.2194
Na32.48524.2194

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 116.188
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.180      
2 Na 0.590      
3 Na 0.590      


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 -6.570 6.570
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.962 0.000 0.000
y 0.000 4.032 0.000
z 0.000 0.000 -30.256
Traceless
 xyz
x -18.850 0.000 0.000
y 0.000 35.141 0.000
z 0.000 0.000 -16.290
Polar
3z2-r2-32.581
x2-y2-35.994
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.251 0.000 0.000
y 0.000 28.794 0.000
z 0.000 0.000 18.905


<r2> (average value of r2) Å2
<r2> 126.016
(<r2>)1/2 11.226