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

using model chemistry: B3LYP/daug-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 B3LYP/daug-cc-pVDZ
 hartrees
Energy at 0K-722.878341
Energy at 298.15K 
HF Energy-722.878341
Nuclear repulsion energy90.314193
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 B3LYP/daug-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 276 276 0.00 287.98 0.08 0.16
2 Σu 419 419 101.90 0.00 0.00 0.00
3 Πu 75i 75i 61.17 0.00 0.00 0.00
3 Πu 75i 75i 61.17 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 272.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 272.2 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 B3LYP/daug-cc-pVDZ
B
0.06276

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/daug-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 2.417
Na3 0.000 0.000 -2.417

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41702.4170
Na22.41704.8339
Na32.41704.8339

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 B3LYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.813      
2 Na 0.906      
3 Na 0.906      


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 -31.364 0.000 0.000
y 0.000 -31.364 0.000
z 0.000 0.000 17.453
Traceless
 xyz
x -24.408 0.000 0.000
y 0.000 -24.408 0.000
z 0.000 0.000 48.817
Polar
3z2-r297.634
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 14.189 0.000 0.000
y 0.000 14.189 0.000
z 0.000 0.000 24.595


<r2> (average value of r2) Å2
<r2> 137.943
(<r2>)1/2 11.745

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/daug-cc-pVDZ
 hartrees
Energy at 0K-722.881712
Energy at 298.15K 
HF Energy-722.881712
Nuclear repulsion energy91.431842
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 B3LYP/daug-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 307 307 16.74 363.11 0.09 0.16
2 A1 55 55 32.38 10.50 0.72 0.83
3 B2 385 385 71.55 25.28 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 372.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 372.9 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 B3LYP/daug-cc-pVDZ
ABC
0.59907 0.08203 0.07215

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/daug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.707
Na2 0.000 2.114 -0.514
Na3 0.000 -2.114 -0.514

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44172.4417
Na22.44174.2283
Na32.44174.2283

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 119.962
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.450      
2 Na 0.725      
3 Na 0.725      


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 -6.385 6.385
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.384 0.000 0.000
y 0.000 4.876 0.000
z 0.000 0.000 -30.013
Traceless
 xyz
x -18.816 0.000 0.000
y 0.000 35.574 0.000
z 0.000 0.000 -16.759
Polar
3z2-r2-33.517
x2-y2-36.260
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.898 0.000 0.000
y 0.000 24.509 0.000
z 0.000 0.000 16.275


<r2> (average value of r2) Å2
<r2> 123.920
(<r2>)1/2 11.132