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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-692.691481
Energy at 298.15K-692.690856
HF Energy-692.691481
Nuclear repulsion energy60.907191
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 2272 2159 0.07      
2 Σ 307 292 56.17      
3 Π 69 66 10.40      
3 Π 69 66 10.40      

Unscaled Zero Point Vibrational Energy (zpe) 1358.4 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 1291.0 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
0.09834

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 1.312
C2 0.000 0.000 -1.288
N3 0.000 0.000 -2.456

Atom - Atom Distances (Å)
  K1 C2 N3
K12.60013.7681
C22.60011.1681
N33.76811.1681

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 0.697      
2 C -0.244      
3 N -0.452      


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 12.230 12.230
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.890 0.000 0.000
y 0.000 -22.890 0.000
z 0.000 0.000 -30.218
Traceless
 xyz
x 3.664 0.000 0.000
y 0.000 3.664 0.000
z 0.000 0.000 -7.328
Polar
3z2-r2-14.656
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 2.961 0.000 0.000
y 0.000 2.962 0.001
z 0.000 0.001 5.925


<r2> (average value of r2) Å2
<r2> 100.711
(<r2>)1/2 10.035

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-692.692856
Energy at 298.15K 
HF Energy-692.692856
Nuclear repulsion energy64.291298
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 2206 2097 106.57      
2 Σ 336 319 69.93      
3 Π 49i 47i 3.22      
3 Π 49i 47i 3.22      

Unscaled Zero Point Vibrational Energy (zpe) 1221.7 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 1161.1 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
0.11364

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 1.215
C2 0.000 0.000 -2.409
N3 0.000 0.000 -1.232

Atom - Atom Distances (Å)
  K1 C2 N3
K13.62382.4461
C23.62381.1778
N32.44611.1778

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 0.742      
2 C -0.124      
3 N -0.618      


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 11.992 11.992
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.874 0.000 0.000
y 0.000 -22.874 0.000
z 0.000 0.000 -31.899
Traceless
 xyz
x 4.513 0.000 0.000
y 0.000 4.513 0.000
z 0.000 0.000 -9.025
Polar
3z2-r2-18.051
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 2.924 0.000 0.000
y 0.000 2.924 0.000
z 0.000 0.000 5.787


<r2> (average value of r2) Å2
<r2> 89.637
(<r2>)1/2 9.468

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-692.700574
Energy at 298.15K-692.700551
HF Energy-692.700574
Nuclear repulsion energy68.844556
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' 2193 2084 23.72      
2 A' 332 316 65.22      
3 A' 213 202 2.78      

Unscaled Zero Point Vibrational Energy (zpe) 1368.9 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 1301.0 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**
ABC
1.90022 0.16589 0.15257

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 1.037 0.000
C2 0.631 -1.574 0.000
N3 -0.541 -1.464 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.68592.5587
C22.68591.1773
N32.55871.1773

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 71.055 K1 N3 C2 83.148
C2 K1 N3 25.797
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 0.667      
2 C -0.153      
3 N -0.514      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.357 10.016 0.000 10.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.121 0.525 0.000
y 0.525 -25.813 0.000
z 0.000 0.000 -23.128
Traceless
 xyz
x -2.651 0.525 0.000
y 0.525 -0.688 0.000
z 0.000 0.000 3.339
Polar
3z2-r26.678
x2-y2-1.308
xy0.525
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.261 -0.077 0.000
y -0.077 4.028 0.000
z 0.000 0.000 3.073


<r2> (average value of r2) Å2
<r2> 70.567
(<r2>)1/2 8.400