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

using model chemistry: PBEPBE/6-311+G(3df,2p)

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 PBEPBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.433367
Energy at 298.15K 
HF Energy-722.433367
Nuclear repulsion energy90.514588
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 PBEPBE/6-311+G(3df,2p)
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 275 273 0.00 341.05 0.08 0.15
2 Σu 420 417 85.70 0.00 0.00 0.00
3 Πu 49i 49i 50.49 0.00 0.00 0.00
3 Πu 49i 49i 50.49 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 298.5 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 296.1 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 PBEPBE/6-311+G(3df,2p)
B
0.06304

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

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 2.412
Na3 0.000 0.000 -2.412

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41162.4116
Na22.41164.8232
Na32.41164.8232

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 PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.034      
2 Na -0.017      
3 Na -0.017      


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 -31.186 0.000 0.000
y 0.000 -31.186 0.000
z 0.000 0.000 15.136
Traceless
 xyz
x -23.161 0.000 0.000
y 0.000 -23.161 0.000
z 0.000 0.000 46.322
Polar
3z2-r292.644
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 14.673 0.000 0.000
y 0.000 14.673 0.000
z 0.000 0.000 27.035


<r2> (average value of r2) Å2
<r2> 137.783
(<r2>)1/2 11.738

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.435806
Energy at 298.15K 
HF Energy-722.435806
Nuclear repulsion energy91.629999
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 PBEPBE/6-311+G(3df,2p)
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 303 300 13.89 348.21 0.08 0.15
2 A1 56 55 28.01 17.55 0.64 0.78
3 B2 376 373 64.21 20.43 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 367.2 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 364.2 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 PBEPBE/6-311+G(3df,2p)
ABC
0.56120 0.08398 0.07305

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.731
Na2 0.000 2.089 -0.531
Na3 0.000 -2.089 -0.531

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44102.4410
Na22.44104.1789
Na32.44104.1789

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 117.735
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.300      
2 Na 0.150      
3 Na 0.150      


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 -6.154 6.154
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.434 0.000 0.000
y 0.000 2.465 0.000
z 0.000 0.000 -29.795
Traceless
 xyz
x -17.768 0.000 0.000
y 0.000 33.079 0.000
z 0.000 0.000 -15.310
Polar
3z2-r2-30.621
x2-y2-33.898
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.541 0.000 0.000
y 0.000 25.874 0.000
z 0.000 0.000 16.789


<r2> (average value of r2) Å2
<r2> 123.038
(<r2>)1/2 11.092