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

using model chemistry: BLYP/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 BLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.842467
Energy at 298.15K 
HF Energy-722.842467
Nuclear repulsion energy90.064677
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 BLYP/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 269 268 0.00 2121.25 0.20 0.34
2 Σu 412 410 78.19 0.00 0.32 0.48
3 Πu 54i 53i 45.74 0.00 0.00 0.00
3 Πu 54i 53i 45.74 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 287.0 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 285.4 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 BLYP/6-311+G(3df,2p)
B
0.06242

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/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 2.424
Na3 0.000 0.000 -2.424

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42372.4237
Na22.42374.8473
Na32.42374.8473

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 BLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.182      
2 Na -0.091      
3 Na -0.091      


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 -31.498 0.000 0.000
y 0.000 -31.498 0.000
z 0.000 0.000 14.160
Traceless
 xyz
x -22.829 0.000 0.000
y 0.000 -22.829 0.000
z 0.000 0.000 45.658
Polar
3z2-r291.315
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 15.285 0.000 0.000
y 0.000 15.285 0.000
z 0.000 0.000 29.821


<r2> (average value of r2) Å2
<r2> 139.397
(<r2>)1/2 11.807

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at BLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.845238
Energy at 298.15K 
HF Energy-722.845238
Nuclear repulsion energy91.083622
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 BLYP/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 295 294 12.52 403.70 0.10 0.19
2 A1 57 57 27.13 23.84 0.58 0.73
3 B2 368 366 57.53 28.04 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 359.8 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 357.8 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 BLYP/6-311+G(3df,2p)
ABC
0.55510 0.08295 0.07217

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.735
Na2 0.000 2.102 -0.534
Na3 0.000 -2.102 -0.534

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.45562.4556
Na22.45564.2046
Na32.45564.2046

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 117.768
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.232      
2 Na 0.116      
3 Na 0.116      


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 -6.000 6.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.708 0.000 0.000
y 0.000 1.335 0.000
z 0.000 0.000 -30.131
Traceless
 xyz
x -17.310 0.000 0.000
y 0.000 32.255 0.000
z 0.000 0.000 -14.945
Polar
3z2-r2-29.889
x2-y2-33.043
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.798 0.000 0.000
y 0.000 28.670 0.000
z 0.000 0.000 17.217


<r2> (average value of r2) Å2
<r2> 124.747
(<r2>)1/2 11.169