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

using model chemistry: B3LYPultrafine/daug-cc-pVTZ

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 B3LYPultrafine/daug-cc-pVTZ
 hartrees
Energy at 0K-722.903137
Energy at 298.15K 
HF Energy-722.903137
Nuclear repulsion energy90.504471
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 B3LYPultrafine/daug-cc-pVTZ
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 278 278 0.00 260.41 0.09 0.16
2 Σu 427 427 98.79 0.00 0.00 0.00
3 Πu 46i 46i 62.14 0.00 0.00 0.00
3 Πu 46i 46i 62.14 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 306.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 306.3 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 B3LYPultrafine/daug-cc-pVTZ
B
0.06303

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/daug-cc-pVTZ

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 2.412
Na3 0.000 0.000 -2.412

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41192.4119
Na22.41194.8238
Na32.41194.8238

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 B3LYPultrafine/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.401      
2 Na 0.200      
3 Na 0.200      


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 -30.998 0.000 0.000
y 0.000 -30.998 0.000
z 0.000 0.000 16.848
Traceless
 xyz
x -23.923 0.000 0.000
y 0.000 -23.923 0.000
z 0.000 0.000 47.846
Polar
3z2-r295.692
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 13.868 0.000 0.000
y 0.000 13.868 0.000
z 0.000 0.000 24.322


<r2> (average value of r2) Å2
<r2> 137.377
(<r2>)1/2 11.721

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYPultrafine/daug-cc-pVTZ
 hartrees
Energy at 0K-722.904989
Energy at 298.15K 
HF Energy-722.904989
Nuclear repulsion energy91.440014
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 B3LYPultrafine/daug-cc-pVTZ
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 303 303 15.50 345.67 0.09 0.17
2 A1 55 55 34.29 9.32 0.74 0.85
3 B2 388 388 74.48 20.74 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 373.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 373.2 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 B3LYPultrafine/daug-cc-pVTZ
ABC
0.64477 0.08054 0.07159

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.682
Na2 0.000 2.134 -0.496
Na3 0.000 -2.134 -0.496

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.43702.4370
Na22.43704.2673
Na32.43704.2673

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 122.216
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.274      
2 Na 0.137      
3 Na 0.137      


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 -6.171 6.171
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.133 0.000 0.000
y 0.000 5.362 0.000
z 0.000 0.000 -29.900
Traceless
 xyz
x -18.864 0.000 0.000
y 0.000 35.879 0.000
z 0.000 0.000 -17.014
Polar
3z2-r2-34.029
x2-y2-36.495
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.774 0.000 0.000
y 0.000 24.388 0.000
z 0.000 0.000 15.915


<r2> (average value of r2) Å2
<r2> 124.587
(<r2>)1/2 11.162