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

using model chemistry: mPW1PW91/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 mPW1PW91/daug-cc-pVTZ
 hartrees
Energy at 0K-722.860680
Energy at 298.15K 
HF Energy-722.860680
Nuclear repulsion energy90.645651
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 mPW1PW91/daug-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 281 281 0.00 170.81 0.07 0.13
2 Σu 430 430 111.05 0.00 0.00 0.00
3 Πu 39i 39i 70.26 0.00 0.00 0.00
3 Πu 39i 39i 70.26 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 316.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 316.7 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 mPW1PW91/daug-cc-pVTZ
B
0.06322

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/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 2.408
Na3 0.000 0.000 -2.408

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40812.4081
Na22.40814.8162
Na32.40814.8162

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 mPW1PW91/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.761      
2 Na 0.380      
3 Na 0.380      


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 -30.596 0.000 0.000
y 0.000 -30.596 0.000
z 0.000 0.000 18.679
Traceless
 xyz
x -24.637 0.000 0.000
y 0.000 -24.637 0.000
z 0.000 0.000 49.275
Polar
3z2-r298.549
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 13.153 0.000 0.000
y 0.000 13.153 0.000
z 0.000 0.000 20.346


<r2> (average value of r2) Å2
<r2> 136.430
(<r2>)1/2 11.680

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/daug-cc-pVTZ
 hartrees
Energy at 0K-722.861786
Energy at 298.15K 
HF Energy-722.861786
Nuclear repulsion energy91.508486
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 mPW1PW91/daug-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 305 305 16.77 255.40 0.06 0.12
2 A1 48 48 41.26 5.48 0.64 0.78
3 B2 399 399 88.01 10.92 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 375.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 375.7 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 mPW1PW91/daug-cc-pVTZ
ABC
0.74592 0.07810 0.07070

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/daug-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 2.167 -0.461
Na3 0.000 -2.167 -0.461

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42752.4275
Na22.42754.3334
Na32.42754.3334

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 126.390
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.636      
2 Na 0.318      
3 Na 0.318      


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 -6.071 6.071
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.745 0.000 0.000
y 0.000 8.701 0.000
z 0.000 0.000 -29.631
Traceless
 xyz
x -20.280 0.000 0.000
y 0.000 38.888 0.000
z 0.000 0.000 -18.608
Polar
3z2-r2-37.217
x2-y2-39.445
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.308 0.000 0.000
y 0.000 20.518 0.000
z 0.000 0.000 14.985


<r2> (average value of r2) Å2
<r2> 125.139
(<r2>)1/2 11.187