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

using model chemistry: B2PLYP/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 B2PLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.470562
Energy at 298.15K 
HF Energy-722.403383
Nuclear repulsion energy90.362638
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 B2PLYP/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 280 280 0.00 231.49 0.09 0.17
2 Σu 428 428 109.33 0.00 0.00 0.00
3 Πu 36i 36i 64.55 0.00 0.00 0.00
3 Πu 36i 36i 64.55 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 317.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 317.9 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 B2PLYP/6-311+G(3df,2p)
B
0.06283

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/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 2.416
Na3 0.000 0.000 -2.416

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41572.4157
Na22.41574.8313
Na32.41574.8313

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 B2PLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.291      
2 Na 0.145      
3 Na 0.145      


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 -31.110 0.000 0.000
y 0.000 -31.110 0.000
z 0.000 0.000 17.687
Traceless
 xyz
x -24.398 0.000 0.000
y 0.000 -24.398 0.000
z 0.000 0.000 48.797
Polar
3z2-r297.593
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 13.234 0.000 0.000
y 0.000 13.234 0.000
z 0.000 0.000 22.428


<r2> (average value of r2) Å2
<r2> 137.650
(<r2>)1/2 11.732

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B2PLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.471638
Energy at 298.15K 
HF Energy-722.403626
Nuclear repulsion energy91.187629
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 B2PLYP/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 302 302 13.41 369.26 0.08 0.14
2 A1 47 47 38.30 7.34 0.58 0.74
3 B2 396 396 85.25 15.72 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 372.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 372.0 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 B2PLYP/6-311+G(3df,2p)
ABC
0.73738 0.07762 0.07023

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.637
Na2 0.000 2.173 -0.464
Na3 0.000 -2.173 -0.464

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.43632.4363
Na22.43634.3466
Na32.43634.3466

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 126.265
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.481      
2 Na 0.241      
3 Na 0.241      


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 -5.882 5.882
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.365 0.000 0.000
y 0.000 7.582 0.000
z 0.000 0.000 -30.106
Traceless
 xyz
x -20.103 0.000 0.000
y 0.000 38.318 0.000
z 0.000 0.000 -18.215
Polar
3z2-r2-36.430
x2-y2-38.947
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.738 0.000 0.000
y 0.000 23.057 0.000
z 0.000 0.000 15.869


<r2> (average value of r2) Å2
<r2> 126.343
(<r2>)1/2 11.240