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

using model chemistry: B3LYP/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 B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.881447
Energy at 298.15K 
HF Energy-722.881447
Nuclear repulsion energy90.681367
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/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 280 270 0.00 238.21 0.10 0.18
2 Σu 427 413 100.56 0.00 0.00 0.00
3 Πu 41i 39i 59.94 0.00 0.00 0.00
3 Πu 41i 39i 59.94 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 312.9 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 302.6 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 B3LYP/6-311+G(3df,2p)
B
0.06327

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 2.407
Na3 0.000 0.000 -2.407

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40722.4072
Na22.40724.8143
Na32.40724.8143

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.036      
2 Na 0.018      
3 Na 0.018      


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 -30.941 0.000 0.000
y 0.000 -30.941 0.000
z 0.000 0.000 16.250
Traceless
 xyz
x -23.596 0.000 0.000
y 0.000 -23.596 0.000
z 0.000 0.000 47.192
Polar
3z2-r294.383
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 13.166 0.000 0.000
y 0.000 13.166 0.000
z 0.000 0.000 23.691


<r2> (average value of r2) Å2
<r2> 136.979
(<r2>)1/2 11.704

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.882873
Energy at 298.15K 
HF Energy-722.882873
Nuclear repulsion energy91.563512
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/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 304 294 14.50 327.15 0.09 0.17
2 A1 50 49 35.97 7.99 0.75 0.86
3 B2 393 380 77.70 17.83 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 373.4 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 361.1 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 B3LYP/6-311+G(3df,2p)
ABC
0.69465 0.07941 0.07127

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.657
Na2 0.000 2.149 -0.478
Na3 0.000 -2.149 -0.478

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42972.4297
Na22.42974.2973
Na32.42974.2973

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 124.336
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.326      
2 Na 0.163      
3 Na 0.163      


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 -5.903 5.903
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.143 0.000 0.000
y 0.000 5.735 0.000
z 0.000 0.000 -29.839
Traceless
 xyz
x -19.091 0.000 0.000
y 0.000 36.226 0.000
z 0.000 0.000 -17.134
Polar
3z2-r2-34.269
x2-y2-36.878
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.335 0.000 0.000
y 0.000 23.779 0.000
z 0.000 0.000 15.254


<r2> (average value of r2) Å2
<r2> 124.990
(<r2>)1/2 11.180