return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: HSEh1PBE/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 HSEh1PBE/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.563572
Energy at 298.15K 
HF Energy-722.563572
Nuclear repulsion energy90.824574
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 HSEh1PBE/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 281 281 0.00      
2 Σu 431 431 108.27      
3 Πu 39i 39i 67.20      
3 Πu 39i 39i 67.20      

Unscaled Zero Point Vibrational Energy (zpe) 316.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 316.8 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 HSEh1PBE/aug-cc-pCVTZ
B
0.06347

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 2.403
Na3 0.000 0.000 -2.403

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40342.4034
Na22.40344.8068
Na32.40344.8068

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 HSEh1PBE/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.926      
2 Na 0.463      
3 Na 0.463      


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 -30.629 0.000 0.000
y 0.000 -30.629 0.000
z 0.000 0.000 17.555
Traceless
 xyz
x -24.092 0.000 0.000
y 0.000 -24.092 0.000
z 0.000 0.000 48.184
Polar
3z2-r296.368
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 13.139 0.000 0.000
y 0.000 13.139 0.000
z 0.000 0.000 21.417


<r2> (average value of r2) Å2
<r2> 136.176
(<r2>)1/2 11.669

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at HSEh1PBE/aug-cc-pCVTZ
 hartrees
Energy at 0K-722.565033
Energy at 298.15K 
HF Energy-722.565033
Nuclear repulsion energy91.768813
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 HSEh1PBE/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 395 395 82.95      
2 A1 307 307 16.79      
3 A1 53 53 37.17      

Unscaled Zero Point Vibrational Energy (zpe) 377.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 377.4 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 HSEh1PBE/aug-cc-pCVTZ
ABC
0.68438 0.08012 0.07172

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pCVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.662
Na2 0.000 2.139 -0.481
Na3 0.000 -2.139 -0.481

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42532.4253
Na22.42534.2783
Na32.42534.2783

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 123.772
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pCVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.910      
2 Na 0.455      
3 Na 0.455      


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 -30.758 0.000 0.000
y 0.000 6.816 0.000
z 0.000 0.000 -29.617
Traceless
 xyz
x -19.357 0.000 0.000
y 0.000 37.003 0.000
z 0.000 0.000 -17.646
Polar
3z2-r2-35.291
x2-y2-37.574
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.241 0.000 0.000
y 0.000 21.363 0.000
z 0.000 0.000 15.104


<r2> (average value of r2) Å2
<r2> 123.922
(<r2>)1/2 11.132