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

using model chemistry: M06-2X/6-311G**

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/6-311G**
 hartrees
Energy at 0K-692.766852
Energy at 298.15K-692.766238
HF Energy-692.766852
Nuclear repulsion energy61.286497
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/6-311G**
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 2254 2254 1.07      
2 Σ 299 299 64.61      
3 Π 74 74 11.09      
3 Π 74 74 11.09      

Unscaled Zero Point Vibrational Energy (zpe) 1350.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1350.3 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 M06-2X/6-311G**
B
0.09956

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.304
C2 0.000 0.000 -1.280
N3 0.000 0.000 -2.441

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58423.7449
C22.58421.1607
N33.74491.1607

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.774      
2 C -0.423      
3 N -0.351      


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 12.145 12.145
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.959 0.000 0.000
y 0.000 -22.959 0.000
z 0.000 0.000 -30.505
Traceless
 xyz
x 3.773 0.000 0.000
y 0.000 3.773 0.000
z 0.000 0.000 -7.546
Polar
3z2-r2-15.091
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 2.977 -0.000 -0.000
y -0.000 2.977 0.000
z -0.000 0.000 5.921


<r2> (average value of r2) Å2
<r2> 99.758
(<r2>)1/2 9.988

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at M06-2X/6-311G**
 hartrees
Energy at 0K-692.770617
Energy at 298.15K 
HF Energy-692.770617
Nuclear repulsion energy64.754753
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/6-311G**
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 2186 2186 130.87      
2 Σ 329 329 81.77      
3 Π 27i 27i 2.75      
3 Π 27i 27i 2.74      

Unscaled Zero Point Vibrational Energy (zpe) 1230.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1230.7 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 M06-2X/6-311G**
B
0.11533

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.206
C2 0.000 0.000 -2.392
N3 0.000 0.000 -1.222

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59762.4272
C23.59761.1704
N32.42721.1704

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.784      
2 C -0.194      
3 N -0.589      


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 12.005 12.005
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.840 0.000 0.000
y 0.000 -22.840 0.000
z 0.000 0.000 -32.605
Traceless
 xyz
x 4.882 0.000 0.000
y 0.000 4.882 0.000
z 0.000 0.000 -9.765
Polar
3z2-r2-19.529
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 2.918 0.000 0.000
y 0.000 2.918 0.000
z 0.000 0.000 5.780


<r2> (average value of r2) Å2
<r2> 88.691
(<r2>)1/2 9.418

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at M06-2X/6-311G**
 hartrees
Energy at 0K-692.775355
Energy at 298.15K-692.775288
HF Energy-692.775355
Nuclear repulsion energy69.110349
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/6-311G**
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' 2177 2177 26.98      
2 A' 333 333 68.59      
3 A' 179 179 7.83      

Unscaled Zero Point Vibrational Energy (zpe) 1344.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1344.8 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 M06-2X/6-311G**
ABC
1.94935 0.16629 0.15322

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.035 0.000
C2 0.623 -1.602 0.000
N3 -0.534 -1.436 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.70952.5275
C22.70951.1698
N32.52751.1698

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 68.517 K1 N3 C2 85.972
C2 K1 N3 25.511
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.723      
2 C -0.255      
3 N -0.468      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.399 10.063 0.000 10.071
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.137 0.887 0.000
y 0.887 -26.299 0.000
z 0.000 0.000 -23.069
Traceless
 xyz
x -2.453 0.887 0.000
y 0.887 -1.196 0.000
z 0.000 0.000 3.649
Polar
3z2-r27.298
x2-y2-0.837
xy0.887
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.290 -0.215 0.000
y -0.215 4.211 0.000
z 0.000 0.000 3.080


<r2> (average value of r2) Å2
<r2> 70.427
(<r2>)1/2 8.392