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

using model chemistry: PBE1PBE/daug-cc-pVTZ

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 PBE1PBE/daug-cc-pVTZ
 hartrees
Energy at 0K-722.513620
Energy at 298.15K 
HF Energy-722.513620
Nuclear repulsion energy90.762800
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 PBE1PBE/daug-cc-pVTZ
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 282 282 0.00 189.20 0.08 0.14
2 Σu 432 432 108.54 0.00 0.00 0.00
3 Πu 41i 41i 68.33 0.00 0.00 0.00
3 Πu 41i 41i 68.33 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 315.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 315.7 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 PBE1PBE/daug-cc-pVTZ
B
0.06339

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/daug-cc-pVTZ

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 2.405
Na3 0.000 0.000 -2.405

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40502.4050
Na22.40504.8100
Na32.40504.8100

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 PBE1PBE/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.785      
2 Na 0.393      
3 Na 0.393      


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 -30.657 0.000 0.000
y 0.000 -30.657 0.000
z 0.000 0.000 18.160
Traceless
 xyz
x -24.409 0.000 0.000
y 0.000 -24.409 0.000
z 0.000 0.000 48.818
Polar
3z2-r297.635
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 13.216 0.000 0.000
y 0.000 13.216 0.000
z 0.000 0.000 21.293


<r2> (average value of r2) Å2
<r2> 136.234
(<r2>)1/2 11.672

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/daug-cc-pVTZ
 hartrees
Energy at 0K-722.514968
Energy at 298.15K 
HF Energy-722.514968
Nuclear repulsion energy91.693805
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 PBE1PBE/daug-cc-pVTZ
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 308 308 16.98 268.97 0.07 0.13
2 A1 52 52 38.32 6.32 0.72 0.84
3 B2 397 397 84.42 12.92 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 378.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 378.1 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 PBE1PBE/daug-cc-pVTZ
ABC
0.69558 0.07967 0.07148

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.656
Na2 0.000 2.145 -0.477
Na3 0.000 -2.145 -0.477

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42632.4263
Na22.42634.2905
Na32.42634.2905

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 124.293
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.610      
2 Na 0.305      
3 Na 0.305      


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 -6.193 6.193
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.808 0.000 0.000
y 0.000 7.470 0.000
z 0.000 0.000 -29.606
Traceless
 xyz
x -19.740 0.000 0.000
y 0.000 37.678 0.000
z 0.000 0.000 -17.937
Polar
3z2-r2-35.875
x2-y2-38.279
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.308 0.000 0.000
y 0.000 21.327 0.000
z 0.000 0.000 15.132


<r2> (average value of r2) Å2
<r2> 124.172
(<r2>)1/2 11.143