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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.915741
Energy at 298.15K 
HF Energy-722.915741
Nuclear repulsion energy90.569214
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 B3LYPultrafine/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 278 278 0.00      
2 Σu 426 426 100.46      
3 Πu 45i 45i 62.28      
3 Πu 45i 45i 62.28      

Unscaled Zero Point Vibrational Energy (zpe) 307.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 307.0 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 B3LYPultrafine/aug-cc-pCVTZ
B
0.06312

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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 2.410
Na3 0.000 0.000 -2.410

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41022.4102
Na22.41024.8203
Na32.41024.8203

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 B3LYPultrafine/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.891      
2 Na 0.446      
3 Na 0.446      


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 -30.938 0.000 0.000
y 0.000 -30.938 0.000
z 0.000 0.000 16.476
Traceless
 xyz
x -23.707 0.000 0.000
y 0.000 -23.707 0.000
z 0.000 0.000 47.414
Polar
3z2-r294.828
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 13.629 0.000 0.000
y 0.000 13.629 0.000
z 0.000 0.000 23.713


<r2> (average value of r2) Å2
<r2> 137.246
(<r2>)1/2 11.715

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYPultrafine/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.917641
Energy at 298.15K 
HF Energy-722.917641
Nuclear repulsion energy91.519161
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 B3LYPultrafine/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 B2 388 388 75.20      
2 A1 304 304 15.66      
3 A1 55 55 33.92      

Unscaled Zero Point Vibrational Energy (zpe) 373.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 373.8 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 B3LYPultrafine/aug-cc-pCVTZ
ABC
0.64307 0.08076 0.07175

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pCVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.683
Na2 0.000 2.131 -0.496
Na3 0.000 -2.131 -0.496

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.43512.4351
Na22.43514.2613
Na32.43514.2613

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 122.084
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.926      
2 Na 0.463      
3 Na 0.463      


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 -6.161 6.161
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.051 0.000 0.000
y 0.000 5.091 0.000
z 0.000 0.000 -29.884
Traceless
 xyz
x -18.654 0.000 0.000
y 0.000 35.559 0.000
z 0.000 0.000 -16.904
Polar
3z2-r2-33.809
x2-y2-36.142
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.585 0.000 0.000
y 0.000 23.719 0.000
z 0.000 0.000 15.715


<r2> (average value of r2) Å2
<r2> 124.377
(<r2>)1/2 11.152