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

using model chemistry: B2PLYP=FULLultrafine/6-31G*

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 B2PLYP=FULLultrafine/6-31G*
 hartrees
Energy at 0K-722.412377
Energy at 298.15K 
HF Energy-722.359917
Nuclear repulsion energy90.684051
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 B2PLYP=FULLultrafine/6-31G*
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 281 266 0.00 442.13 0.10 0.18
2 Σu 428 406 111.47 0.00 0.00 0.00
3 Πu 47i 45i 54.09 0.00 0.00 0.00
3 Πu 47i 45i 54.09 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 307.2 cm-1
Scaled (by 0.9487) Zero Point Vibrational Energy (zpe) 291.5 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 B2PLYP=FULLultrafine/6-31G*
B
0.06328

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/6-31G*

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 2.407
Na3 0.000 0.000 -2.407

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40712.4071
Na22.40714.8142
Na32.40714.8142

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 B2PLYP=FULLultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.821      
2 Na 0.410      
3 Na 0.410      


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 -31.258 0.000 0.000
y 0.000 -31.258 0.000
z 0.000 0.000 15.019
Traceless
 xyz
x -23.139 0.000 0.000
y 0.000 -23.139 0.000
z 0.000 0.000 46.277
Polar
3z2-r292.554
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 11.794 0.000 0.000
y 0.000 11.794 0.000
z 0.000 0.000 28.074


<r2> (average value of r2) Å2
<r2> 137.358
(<r2>)1/2 11.720

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B2PLYP=FULLultrafine/6-31G*
 hartrees
Energy at 0K-722.415724
Energy at 298.15K 
HF Energy-722.360707
Nuclear repulsion energy91.907665
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 B2PLYP=FULLultrafine/6-31G*
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 316 300 9.68 497.31 0.07 0.13
2 A1 70 66 24.55 21.83 0.72 0.84
3 B2 384 364 76.02 20.91 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 384.8 cm-1
Scaled (by 0.9487) Zero Point Vibrational Energy (zpe) 365.1 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 B2PLYP=FULLultrafine/6-31G*
ABC
0.51096 0.08709 0.07441

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.766
Na2 0.000 2.052 -0.557
Na3 0.000 -2.052 -0.557

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44122.4412
Na22.44124.1036
Na32.44124.1036

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 114.385
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.696      
2 Na 0.348      
3 Na 0.348      


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 -6.460 6.460
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.432 0.000 0.000
y 0.000 1.749 0.000
z 0.000 0.000 -30.105
Traceless
 xyz
x -17.254 0.000 0.000
y 0.000 32.518 0.000
z 0.000 0.000 -15.264
Polar
3z2-r2-30.528
x2-y2-33.181
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.801 0.000 0.000
y 0.000 26.379 0.000
z 0.000 0.000 15.314


<r2> (average value of r2) Å2
<r2> 121.237
(<r2>)1/2 11.011