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

using model chemistry: B97D3/aug-cc-pVQZ

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 B97D3/aug-cc-pVQZ
 hartrees
Energy at 0K-722.823061
Energy at 298.15K 
HF Energy-722.823061
Nuclear repulsion energy89.305350
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 B97D3/aug-cc-pVQZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σg 262 262 0.00 421.01 0.06 0.12
2 Σu 400 400 88.49 0.00 0.00 0.00
3 Πu 46i 46i 54.77 0.00 0.00 0.00
3 Πu 46i 46i 54.77 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 284.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 284.5 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 B97D3/aug-cc-pVQZ
B
0.06137

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVQZ

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 2.444
Na3 0.000 0.000 -2.444

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44432.4443
Na22.44434.8885
Na32.44434.8885

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 B97D3/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 0.946      
2 Na -0.473      
3 Na -0.473      


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 -31.416 0.000 0.000
y 0.000 -31.416 0.000
z 0.000 0.000 17.525
Traceless
 xyz
x -24.471 0.000 0.000
y 0.000 -24.471 0.000
z 0.000 0.000 48.942
Polar
3z2-r297.884
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 16.733 0.000 0.000
y 0.000 16.733 0.000
z 0.000 0.000 28.032


<r2> (average value of r2) Å2
<r2> 140.870
(<r2>)1/2 11.869

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B97D3/aug-cc-pVQZ
 hartrees
Energy at 0K-722.825323
Energy at 298.15K 
HF Energy-722.825323
Nuclear repulsion energy90.240501
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 B97D3/aug-cc-pVQZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 287 287 13.59 503.48 0.09 0.16
2 A1 53 53 31.23 13.92 0.66 0.79
3 B2 361 361 65.54 27.66 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 350.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 350.3 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 B97D3/aug-cc-pVQZ
ABC
0.58124 0.07999 0.07031

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVQZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.718
Na2 0.000 2.141 -0.522
Na3 0.000 -2.141 -0.522

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.47422.4742
Na22.47424.2818
Na32.47424.2818

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 119.837
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.189      
2 Na 0.094      
3 Na 0.094      


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 -6.227 6.227
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.606 0.000 0.000
y 0.000 4.998 0.000
z 0.000 0.000 -30.260
Traceless
 xyz
x -18.975 0.000 0.000
y 0.000 35.931 0.000
z 0.000 0.000 -16.955
Polar
3z2-r2-33.911
x2-y2-36.604
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.390 0.000 0.000
y 0.000 27.952 0.000
z 0.000 0.000 18.645


<r2> (average value of r2) Å2
<r2> 126.923
(<r2>)1/2 11.266