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

using model chemistry: wB97X-D/Def2TZVPP

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 wB97X-D/Def2TZVPP
 hartrees
Energy at 0K-722.820097
Energy at 298.15K 
HF Energy-722.820097
Nuclear repulsion energy90.604918
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 wB97X-D/Def2TZVPP
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 280 268 0.00 126.11 0.09 0.17
2 Σu 425 406 137.97 0.00 0.00 0.00
3 Πu 29i 27i 74.36 0.00 0.00 0.00
3 Πu 29i 27i 74.36 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 324.0 cm-1
Scaled (by 0.9552) Zero Point Vibrational Energy (zpe) 309.5 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 wB97X-D/Def2TZVPP
B
0.06317

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/Def2TZVPP

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 2.409
Na3 0.000 0.000 -2.409

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40922.4092
Na22.40924.8184
Na32.40924.8184

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 wB97X-D/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.030      
2 Na 0.515      
3 Na 0.515      


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 -30.480 0.000 0.000
y 0.000 -30.480 0.000
z 0.000 0.000 19.249
Traceless
 xyz
x -24.864 0.000 0.000
y 0.000 -24.864 0.000
z 0.000 0.000 49.729
Polar
3z2-r299.458
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 11.033 0.000 0.000
y 0.000 11.033 0.000
z 0.000 0.000 18.851


<r2> (average value of r2) Å2
<r2> 136.378
(<r2>)1/2 11.678

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/Def2TZVPP
 hartrees
Energy at 0K-722.820577
Energy at 298.15K 
HF Energy-722.820577
Nuclear repulsion energy91.284532
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 wB97X-D/Def2TZVPP
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 297 284 14.66 151.77 0.06 0.11
2 A1 39 38 51.75 4.12 0.59 0.75
3 B2 402 384 117.33 1.97 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 369.3 cm-1
Scaled (by 0.9552) Zero Point Vibrational Energy (zpe) 352.7 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 wB97X-D/Def2TZVPP
ABC
1.02010 0.07356 0.06861

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.542
Na2 0.000 2.233 -0.394
Na3 0.000 -2.233 -0.394

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42082.4208
Na22.42084.4651
Na32.42084.4651

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 134.504
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.976      
2 Na 0.488      
3 Na 0.488      


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 -5.372 5.372
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.563 0.000 0.000
y 0.000 12.177 0.000
z 0.000 0.000 -29.777
Traceless
 xyz
x -21.763 0.000 0.000
y 0.000 42.347 0.000
z 0.000 0.000 -20.583
Polar
3z2-r2-41.167
x2-y2-42.740
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.548 0.000 0.000
y 0.000 18.261 0.000
z 0.000 0.000 12.259


<r2> (average value of r2) Å2
<r2> 127.797
(<r2>)1/2 11.305