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

using model chemistry: mPW1PW91/6-31G(2df,p)

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 mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-255.095427
Energy at 298.15K-255.094734
HF Energy-255.095427
Nuclear repulsion energy46.767117
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 mPW1PW91/6-31G(2df,p)
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 2248 2146 3.12      
2 Σ 372 355 54.84      
3 Π 95 91 13.65      
3 Π 95 91 13.65      

Unscaled Zero Point Vibrational Energy (zpe) 1405.2 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 1341.5 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 mPW1PW91/6-31G(2df,p)
B
0.15579

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.681
N2 0.000 0.000 -1.846
Na3 0.000 0.000 1.546

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.16522.2272
N21.16523.3924
Na32.22723.3924

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 mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.174      
2 N -0.287      
3 Na 0.461      


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 10.274 10.274
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.951 0.000 0.000
y 0.000 -16.951 0.000
z 0.000 0.000 -12.756
Traceless
 xyz
x -2.097 0.000 0.000
y 0.000 -2.097 0.000
z 0.000 0.000 4.194
Polar
3z2-r28.389
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 3.039 0.000 0.000
y 0.000 3.039 0.000
z 0.000 0.000 5.410


<r2> (average value of r2) Å2
<r2> 62.653
(<r2>)1/2 7.915

Conformer 2 (CS)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-255.103173
Energy at 298.15K-255.102965
HF Energy-255.103173
Nuclear repulsion energy52.096447
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 mPW1PW91/6-31G(2df,p)
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' 2141 2044 30.55      
2 A' 397 379 57.66      
3 A' 200 191 7.24      

Unscaled Zero Point Vibrational Energy (zpe) 1368.8 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 1306.8 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 mPW1PW91/6-31G(2df,p)
ABC
1.91462 0.28329 0.24678

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.085 0.632 0.000
N2 0.000 1.089 0.000
Na3 -0.592 -1.038 0.000

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.17722.3665
N21.17722.2076
Na32.36652.2076

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 82.716 C1 Na3 N2 29.565
N2 C1 Na3 67.719
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.188      
2 N -0.223      
3 Na 0.411      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.451 -7.028 0.000 8.319
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.290 3.576 0.000
y 3.576 -13.807 0.000
z 0.000 0.000 -17.226
Traceless
 xyz
x -3.773 3.576 0.000
y 3.576 4.451 0.000
z 0.000 0.000 -0.677
Polar
3z2-r2-1.355
x2-y2-5.483
xy3.576
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.053 -0.097 0.000
y -0.097 3.624 0.000
z 0.000 0.000 3.053


<r2> (average value of r2) Å2
<r2> 43.939
(<r2>)1/2 6.629

Conformer 3 (C*V)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-255.097591
Energy at 298.15K 
HF Energy-255.097591
Nuclear repulsion energy49.059342
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 mPW1PW91/6-31G(2df,p)
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 2167 2069 116.41      
2 Σ 426 407 61.80      
3 Π 52i 50i 4.58      
3 Π 52i 50i 4.58      

Unscaled Zero Point Vibrational Energy (zpe) 1244.7 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 1188.3 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 mPW1PW91/6-31G(2df,p)
B
0.17996

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.841
N2 0.000 0.000 -0.665
Na3 0.000 0.000 1.427

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.17583.2685
N21.17582.0927
Na33.26852.0927

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 mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.342      
2 N -0.207      
3 Na 0.549      


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 10.352 10.352
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.978 0.000 0.000
y 0.000 -16.978 0.000
z 0.000 0.000 -15.107
Traceless
 xyz
x -0.935 0.000 0.000
y 0.000 -0.935 0.000
z 0.000 0.000 1.871
Polar
3z2-r23.741
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 2.944 0.000 0.000
y 0.000 2.944 0.000
z 0.000 0.000 5.259


<r2> (average value of r2) Å2
<r2> 56.063
(<r2>)1/2 7.488