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All results from a given calculation for KCN (Potassium cyanide)

using model chemistry: M06-2X/6-31G

19 10 17 12 22

States and conformations

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

Conformer 1 (C*V)

Jump to S1C2 S1C3
Energy calculated at M06-2X/6-31G
 hartrees
Energy at 0K-692.651681
Energy at 298.15K-692.651245
HF Energy-692.651681
Nuclear repulsion energy60.709313
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 M06-2X/6-31G
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 2209 2209 0.01      
2 Σ 308 308 54.72      
3 Π 122 122 15.10      
3 Π 122 122 15.10      

Unscaled Zero Point Vibrational Energy (zpe) 1380.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1380.5 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 M06-2X/6-31G
B
0.09810

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.313
C2 0.000 0.000 -1.283
N3 0.000 0.000 -2.463

Atom - Atom Distances (Å)
  K1 C2 N3
K12.59583.7761
C22.59581.1803
N33.77611.1803

picture of Potassium cyanide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
K1 C2 N3 180.000 K1 N3 C2 0.000
C2 K1 N3 0.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.728      
2 C -0.299      
3 N -0.429      


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 12.794 12.794
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.154 0.000 0.000
y 0.000 -23.154 0.000
z 0.000 0.000 -30.209
Traceless
 xyz
x 3.528 0.000 0.000
y 0.000 3.528 0.000
z 0.000 0.000 -7.055
Polar
3z2-r2-14.110
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 2.483 0.000 -0.002
y 0.000 2.483 -0.001
z -0.002 -0.001 5.215


<r2> (average value of r2) Å2
<r2> 101.025
(<r2>)1/2 10.051

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at M06-2X/6-31G
 hartrees
Energy at 0K-692.654126
Energy at 298.15K-692.653630
HF Energy-692.654126
Nuclear repulsion energy63.945170
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 M06-2X/6-31G
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 2153 2153 86.75      
2 Σ 335 335 62.11      
3 Π 96 96 7.16      
3 Π 96 96 7.16      

Unscaled Zero Point Vibrational Energy (zpe) 1340.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1340.0 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 M06-2X/6-31G
B
0.11265

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.219
C2 0.000 0.000 -2.423
N3 0.000 0.000 -1.233

Atom - Atom Distances (Å)
  K1 C2 N3
K13.64212.4528
C23.64211.1893
N32.45281.1893

picture of Potassium cyanide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
K1 C2 N3 0.000 K1 N3 C2 180.000
C2 K1 N3 0.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.778      
2 C -0.138      
3 N -0.640      


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 12.569 12.569
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.106 0.000 0.000
y 0.000 -23.106 0.000
z 0.000 0.000 -31.600
Traceless
 xyz
x 4.247 0.000 0.000
y 0.000 4.247 0.000
z 0.000 0.000 -8.494
Polar
3z2-r2-16.987
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 2.312 0.000 0.000
y 0.000 2.312 0.000
z 0.000 0.000 4.875


<r2> (average value of r2) Å2
<r2> 90.317
(<r2>)1/2 9.504

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at M06-2X/6-31G
 hartrees
Energy at 0K-692.654726
Energy at 298.15K-692.654570
HF Energy-692.654726
Nuclear repulsion energy67.564989
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 M06-2X/6-31G
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' 2123 2123 27.13      
2 A' 321 321 49.19      
3 A' 135 135 8.15      

Unscaled Zero Point Vibrational Energy (zpe) 1289.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1289.6 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 M06-2X/6-31G
ABC
1.91991 0.15747 0.14554

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.063 0.000
C2 0.629 -1.676 0.000
N3 -0.539 -1.447 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.80982.5672
C22.80981.1898
N32.56721.1898

picture of Potassium cyanide state 1 conformation 3
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
K1 C2 N3 65.996 K1 N3 C2 88.956
C2 K1 N3 25.048
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.708      
2 C -0.180      
3 N -0.528      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.197 11.042 0.000 11.044
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.895 0.776 0.000
y 0.776 -26.171 0.000
z 0.000 0.000 -23.437
Traceless
 xyz
x -3.091 0.776 0.000
y 0.776 -0.505 0.000
z 0.000 0.000 3.596
Polar
3z2-r27.191
x2-y2-1.724
xy0.776
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.921 -0.158 0.000
y -0.158 3.081 0.000
z 0.000 0.000 2.557


<r2> (average value of r2) Å2
<r2> 73.512
(<r2>)1/2 8.574