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All results from a given calculation for NaCN (Sodium Cyanide)

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C*V 1Σ
1 2 yes CS 1A
1 3 no C*V 1Σ

Conformer 1 (C*V)

Jump to S1C2 S1C3
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-253.578390
Energy at 298.15K-253.577994
HF Energy-253.578390
Nuclear repulsion energy47.143375
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 mPW1PW91/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σ 2213 2102 5.95      
2 Σ 411 390 48.29      
3 Π 174 165 22.50      
3 Π 174 165 22.50      

Unscaled Zero Point Vibrational Energy (zpe) 1485.7 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 1410.8 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 mPW1PW91/3-21G*
B
0.16042

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.654
N2 0.000 0.000 -1.829
Na3 0.000 0.000 1.521

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.17482.1746
N21.17483.3495
Na32.17463.3495

picture of Sodium Cyanide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 Na3 0.000 C1 Na3 N2 0.000
N2 C1 Na3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.151      
2 N -0.457      
3 Na 0.608      


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 9.966 9.966
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.286 0.000 0.000
y 0.000 -17.286 0.000
z 0.000 0.000 -13.181
Traceless
 xyz
x -2.053 0.000 0.000
y 0.000 -2.053 0.000
z 0.000 0.000 4.106
Polar
3z2-r28.211
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 2.604 0.000 -0.000
y 0.000 2.605 0.000
z -0.000 0.000 4.997


<r2> (average value of r2) Å2
<r2> 61.356
(<r2>)1/2 7.833

Conformer 2 (CS)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-253.582398
Energy at 298.15K-253.582098
HF Energy-253.582398
Nuclear repulsion energy51.759600
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 mPW1PW91/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 2069 1964 31.22      
2 A' 462 439 44.57      
3 A' 107 102 15.29      

Unscaled Zero Point Vibrational Energy (zpe) 1318.9 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 1252.5 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 mPW1PW91/3-21G*
ABC
2.20611 0.26788 0.23888

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.175 0.769 0.000
N2 0.000 0.964 0.000
Na3 -0.641 -1.033 0.000

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.19062.5574
N21.19062.0965
Na32.55742.0965

picture of Sodium Cyanide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 Na3 98.379 C1 Na3 N2 27.426
N2 C1 Na3 54.195
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.024      
2 N -0.519      
3 Na 0.495      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.657 -7.245 0.000 8.613
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.273 2.961 0.000
y 2.961 -13.890 0.000
z 0.000 0.000 -17.565
Traceless
 xyz
x -4.546 2.961 0.000
y 2.961 5.030 0.000
z 0.000 0.000 -0.484
Polar
3z2-r2-0.968
x2-y2-6.384
xy2.961
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.857 0.110 0.000
y 0.110 3.087 0.000
z 0.000 0.000 2.665


<r2> (average value of r2) Å2
<r2> 45.337
(<r2>)1/2 6.733

Conformer 3 (C*V)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-253.581531
Energy at 298.15K-253.580761
HF Energy-253.581531
Nuclear repulsion energy49.549473
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 mPW1PW91/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σ 2132 2025 96.85      
2 Σ 471 447 55.87      
3 Π 50 48 8.34      
3 Π 50 48 8.34      

Unscaled Zero Point Vibrational Energy (zpe) 1351.5 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 1283.4 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 mPW1PW91/3-21G*
B
0.18580

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.824
N2 0.000 0.000 -0.638
Na3 0.000 0.000 1.401

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.18593.2253
N21.18592.0394
Na33.22532.0394

picture of Sodium Cyanide state 1 conformation 3
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 Na3 180.000 C1 Na3 N2 0.000
N2 C1 Na3 0.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.042      
2 N -0.615      
3 Na 0.573      


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 10.011 10.011
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.187 0.000 0.000
y 0.000 -17.187 0.000
z 0.000 0.000 -15.582
Traceless
 xyz
x -0.803 0.000 0.000
y 0.000 -0.803 0.000
z 0.000 0.000 1.605
Polar
3z2-r23.210
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 2.461 0.000 0.000
y 0.000 2.461 0.000
z 0.000 0.000 5.015


<r2> (average value of r2) Å2
<r2> 54.812
(<r2>)1/2 7.404