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

using model chemistry: PBEPBE/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 PBEPBE/daug-cc-pVTZ
 hartrees
Energy at 0K-722.453867
Energy at 298.15K 
HF Energy-722.453867
Nuclear repulsion energy90.319281
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 PBEPBE/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 273 273 0.00 365.74 0.07 0.13
2 Σu 419 419 83.86 0.00 0.00 0.00
3 Πu 54i 54i 52.58 0.00 0.00 0.00
3 Πu 54i 54i 52.58 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 291.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 291.6 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 PBEPBE/daug-cc-pVTZ
B
0.06277

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 2.417
Na3 0.000 0.000 -2.417

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41682.4168
Na22.41684.8336
Na32.41684.8336

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 PBEPBE/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.430      
2 Na 0.215      
3 Na 0.215      


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 -31.252 0.000 0.000
y 0.000 -31.252 0.000
z 0.000 0.000 15.747
Traceless
 xyz
x -23.499 0.000 0.000
y 0.000 -23.499 0.000
z 0.000 0.000 46.999
Polar
3z2-r293.998
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 15.447 0.000 0.000
y 0.000 15.447 0.000
z 0.000 0.000 27.692


<r2> (average value of r2) Å2
<r2> 138.237
(<r2>)1/2 11.757

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/daug-cc-pVTZ
 hartrees
Energy at 0K-722.456804
Energy at 298.15K 
HF Energy-722.456804
Nuclear repulsion energy91.424869
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 PBEPBE/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 302 302 14.37 363.95 0.08 0.15
2 A1 61 61 27.42 18.97 0.62 0.76
3 B2 373 373 62.05 22.64 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 367.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 367.5 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 PBEPBE/daug-cc-pVTZ
ABC
0.54382 0.08426 0.07296

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.742
Na2 0.000 2.086 -0.540
Na3 0.000 -2.086 -0.540

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.44852.4485
Na22.44854.1719
Na32.44854.1719

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 116.848
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.392      
2 Na 0.196      
3 Na 0.196      


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 -6.305 6.305
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.412 0.000 0.000
y 0.000 2.476 0.000
z 0.000 0.000 -29.914
Traceless
 xyz
x -17.693 0.000 0.000
y 0.000 33.139 0.000
z 0.000 0.000 -15.446
Polar
3z2-r2-30.892
x2-y2-33.888
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.979 0.000 0.000
y 0.000 26.517 0.000
z 0.000 0.000 17.441


<r2> (average value of r2) Å2
<r2> 123.204
(<r2>)1/2 11.100