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

using model chemistry: B3PW91/aug-cc-pCVTZ

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 B3PW91/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.768600
Energy at 298.15K 
HF Energy-722.768600
Nuclear repulsion energy90.606819
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 B3PW91/aug-cc-pCVTZ
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 279 279 0.00      
2 Σu 427 427 111.91      
3 Πu 37i 37i 68.65      
3 Πu 37i 37i 68.65      

Unscaled Zero Point Vibrational Energy (zpe) 316.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 316.2 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 B3PW91/aug-cc-pCVTZ
B
0.06317

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pCVTZ

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
Na22.40924.8183
Na32.40924.8183

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 B3PW91/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.943      
2 Na 0.471      
3 Na 0.471      


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 -30.577 0.000 0.000
y 0.000 -30.577 0.000
z 0.000 0.000 18.279
Traceless
 xyz
x -24.428 0.000 0.000
y 0.000 -24.428 0.000
z 0.000 0.000 48.855
Polar
3z2-r297.711
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 13.387 0.000 0.000
y 0.000 13.387 0.000
z 0.000 0.000 21.104


<r2> (average value of r2) Å2
<r2> 136.614
(<r2>)1/2 11.688

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3PW91/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.769828
Energy at 298.15K 
HF Energy-722.769828
Nuclear repulsion energy91.487980
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 B3PW91/aug-cc-pCVTZ
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 304 304 16.53      
2 A1 50 50 39.15      
3 B2 394 394 87.32      

Unscaled Zero Point Vibrational Energy (zpe) 374.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 374.0 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 B3PW91/aug-cc-pCVTZ
ABC
0.71972 0.07864 0.07090

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pCVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.645
Na2 0.000 2.159 -0.469
Na3 0.000 -2.159 -0.469

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42982.4298
Na22.42984.3183
Na32.42984.3183

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 125.399
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.932      
2 Na 0.466      
3 Na 0.466      


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 -6.087 6.087
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.704 0.000 0.000
y 0.000 8.033 0.000
z 0.000 0.000 -29.619
Traceless
 xyz
x -19.911 0.000 0.000
y 0.000 38.194 0.000
z 0.000 0.000 -18.283
Polar
3z2-r2-36.567
x2-y2-38.737
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.544 0.000 0.000
y 0.000 21.302 0.000
z 0.000 0.000 15.334


<r2> (average value of r2) Å2
<r2> 124.955
(<r2>)1/2 11.178