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

using model chemistry: mPW1PW91/6-311+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 mPW1PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.836994
Energy at 298.15K 
HF Energy-722.836994
Nuclear repulsion energy90.864415
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 mPW1PW91/6-311+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 283 283 0.00 156.79 0.08 0.15
2 Σu 432 432 112.13 0.00 0.00 0.00
3 Πu 33i 33i 67.18 0.00 0.00 0.00
3 Πu 33i 33i 67.18 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 324.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 324.7 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 mPW1PW91/6-311+G(3df,2p)
B
0.06353

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311+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 2.402
Na3 0.000 0.000 -2.402

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40232.4023
Na22.40234.8046
Na32.40234.8046

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 mPW1PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.251      
2 Na 0.125      
3 Na 0.125      


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 -30.560 0.000 0.000
y 0.000 -30.560 0.000
z 0.000 0.000 17.932
Traceless
 xyz
x -24.246 0.000 0.000
y 0.000 -24.246 0.000
z 0.000 0.000 48.492
Polar
3z2-r296.983
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 12.511 0.000 0.000
y 0.000 12.511 0.000
z 0.000 0.000 19.885


<r2> (average value of r2) Å2
<r2> 135.957
(<r2>)1/2 11.660

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.837810
Energy at 298.15K 
HF Energy-722.837810
Nuclear repulsion energy91.632964
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 mPW1PW91/6-311+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 305 305 15.28      
2 A1 44 44 43.61      
3 B2 405 405 91.29      

Unscaled Zero Point Vibrational Energy (zpe) 376.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 376.7 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 mPW1PW91/6-311+G(3df,2p)
ABC
0.83569 0.07665 0.07021

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.599
Na2 0.000 2.187 -0.435
Na3 0.000 -2.187 -0.435

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41932.4193
Na22.41934.3741
Na32.41934.3741

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 129.382
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.424      
2 Na 0.212      
3 Na 0.212      


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 -5.678 5.678
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.746 0.000 0.000
y 0.000 9.162 0.000
z 0.000 0.000 -29.612
Traceless
 xyz
x -20.521 0.000 0.000
y 0.000 39.341 0.000
z 0.000 0.000 -18.820
Polar
3z2-r2-37.640
x2-y2-39.908
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.917 0.000 0.000
y 0.000 20.009 0.000
z 0.000 0.000 14.268


<r2> (average value of r2) Å2
<r2> 125.798
(<r2>)1/2 11.216