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

using model chemistry: B1B95/aug-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 B1B95/aug-cc-pVTZ
 hartrees
Energy at 0K-722.912192
Energy at 298.15K 
HF Energy-722.912192
Nuclear repulsion energy90.771147
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 B1B95/aug-cc-pVTZ
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 278 266 0.00 205.43 0.08 0.15
2 Σu 425 407 111.66 0.00 0.00 0.00
3 Πu 36i 34i 69.87 0.00 0.00 0.00
3 Πu 36i 34i 69.87 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 315.8 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 302.7 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 B1B95/aug-cc-pVTZ
B
0.06340

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/aug-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 2.405
Na3 0.000 0.000 -2.405

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40482.4048
Na22.40484.8096
Na32.40484.8096

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 B1B95/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.520      
2 Na 0.260      
3 Na 0.260      


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 -30.646 0.000 0.000
y 0.000 -30.646 0.000
z 0.000 0.000 18.346
Traceless
 xyz
x -24.496 0.000 0.000
y 0.000 -24.496 0.000
z 0.000 0.000 48.992
Polar
3z2-r297.984
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 13.358 0.000 0.000
y 0.000 13.358 0.000
z 0.000 0.000 21.768


<r2> (average value of r2) Å2
<r2> 136.167
(<r2>)1/2 11.669

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B1B95/aug-cc-pVTZ
 hartrees
Energy at 0K-722.913231
Energy at 298.15K 
HF Energy-722.913231
Nuclear repulsion energy91.615453
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 B1B95/aug-cc-pVTZ
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 296 284 15.94 308.13 0.08 0.14
2 A1 46 44 40.46 5.59 0.65 0.79
3 B2 388 372 88.79 12.73 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 364.8 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 349.7 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 B1B95/aug-cc-pVTZ
ABC
0.74513 0.07834 0.07088

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.634
Na2 0.000 2.163 -0.461
Na3 0.000 -2.163 -0.461

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42492.4249
Na22.42494.3268
Na32.42494.3268

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 126.296
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.449      
2 Na 0.224      
3 Na 0.224      


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 -6.026 6.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.756 0.000 0.000
y 0.000 8.342 0.000
z 0.000 0.000 -29.711
Traceless
 xyz
x -20.072 0.000 0.000
y 0.000 38.576 0.000
z 0.000 0.000 -18.504
Polar
3z2-r2-37.008
x2-y2-39.099
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.484 0.000 0.000
y 0.000 22.072 0.000
z 0.000 0.000 15.301


<r2> (average value of r2) Å2
<r2> 124.931
(<r2>)1/2 11.177