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

using model chemistry: B1B95/aug-cc-pCVTZ

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-pCVTZ
 hartrees
Energy at 0K-722.921197
Energy at 298.15K 
HF Energy-722.921197
Nuclear repulsion energy90.893476
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-pCVTZ
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 279 279 0.00      
2 Σu 428 428 113.42      
3 Πu 36i 36i 69.26      
3 Πu 36i 36i 69.26      

Unscaled Zero Point Vibrational Energy (zpe) 317.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 317.8 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-pCVTZ
B
0.06357

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

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 2.402
Na3 0.000 0.000 -2.402

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40162.4016
Na22.40164.8031
Na32.40164.8031

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-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.675      
2 Na 0.338      
3 Na 0.338      


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 -30.577 0.000 0.000
y 0.000 -30.577 0.000
z 0.000 0.000 17.885
Traceless
 xyz
x -24.231 0.000 0.000
y 0.000 -24.231 0.000
z 0.000 0.000 48.462
Polar
3z2-r296.923
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 13.185 0.000 0.000
y 0.000 13.185 0.000
z 0.000 0.000 21.150


<r2> (average value of r2) Å2
<r2> 135.893
(<r2>)1/2 11.657

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B1B95/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.922345
Energy at 298.15K 
HF Energy-722.922345
Nuclear repulsion energy91.767141
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-pCVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 B2 390 390 88.99      
2 A1 300 300 16.68      
3 A1 48 48 39.34      

Unscaled Zero Point Vibrational Energy (zpe) 368.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 368.7 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-pCVTZ
ABC
0.72636 0.07907 0.07131

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.642
Na2 0.000 2.153 -0.467
Na3 0.000 -2.153 -0.467

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42232.4223
Na22.42234.3066
Na32.42234.3066

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 125.486
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.682      
2 Na 0.341      
3 Na 0.341      


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 -6.077 6.077
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.691 0.000 0.000
y 0.000 7.749 0.000
z 0.000 0.000 -29.635
Traceless
 xyz
x -19.748 0.000 0.000
y 0.000 37.912 0.000
z 0.000 0.000 -18.164
Polar
3z2-r2-36.328
x2-y2-38.440
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.330 0.000 0.000
y 0.000 21.357 0.000
z 0.000 0.000 15.122


<r2> (average value of r2) Å2
<r2> 124.354
(<r2>)1/2 11.151