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

using model chemistry: BLYP/daug-cc-pVDZ

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/daug-cc-pVDZ
 hartrees
Energy at 0K-722.833733
Energy at 298.15K 
HF Energy-722.833733
Nuclear repulsion energy89.806784
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/daug-cc-pVDZ
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 266 266 0.00 527.99 0.07 0.13
2 Σu 405 405 79.78 0.00 0.00 0.00
3 Πu 90i 90i 45.24 0.00 0.00 0.00
3 Πu 90i 90i 45.24 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 246.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 246.2 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 BLYP/daug-cc-pVDZ
B
0.06206

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/daug-cc-pVDZ

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 2.431
Na3 0.000 0.000 -2.431

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.43062.4306
Na22.43064.8612
Na32.43064.8612

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/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.943      
2 Na 0.972      
3 Na 0.972      


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 -31.958 0.000 0.000
y 0.000 -31.958 0.000
z 0.000 0.000 15.246
Traceless
 xyz
x -23.602 0.000 0.000
y 0.000 -23.602 0.000
z 0.000 0.000 47.204
Polar
3z2-r294.409
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 16.622 0.000 0.000
y 0.000 16.622 0.000
z 0.000 0.000 30.915


<r2> (average value of r2) Å2
<r2> 140.106
(<r2>)1/2 11.837

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at BLYP/daug-cc-pVDZ
 hartrees
Energy at 0K-722.838663
Energy at 298.15K 
HF Energy-722.838663
Nuclear repulsion energy90.982761
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/daug-cc-pVDZ
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 298 298 13.74 434.73 0.10 0.18
2 A1 55 55 25.85 28.00 0.54 0.70
3 B2 364 364 53.37 36.04 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 358.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 358.7 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 BLYP/daug-cc-pVDZ
ABC
0.51972 0.08435 0.07257

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/daug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.759
Na2 0.000 2.085 -0.552
Na3 0.000 -2.085 -0.552

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.46302.4630
Na22.46304.1697
Na32.46304.1697

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 115.656
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.645      
2 Na 0.823      
3 Na 0.823      


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 -6.243 6.243
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.960 0.000 0.000
y 0.000 1.077 0.000
z 0.000 0.000 -30.400
Traceless
 xyz
x -17.299 0.000 0.000
y 0.000 32.257 0.000
z 0.000 0.000 -14.959
Polar
3z2-r2-29.917
x2-y2-33.038
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.421 0.000 0.000
y 0.000 29.433 0.000
z 0.000 0.000 18.143


<r2> (average value of r2) Å2
<r2> 124.315
(<r2>)1/2 11.150