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

using model chemistry: B3LYP/CEP-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 yes C*V 1Σ
1 3 no CS 1A'

Conformer 1 (C*V)

Jump to S1C2 S1C3
Energy calculated at B3LYP/CEP-31G
 hartrees
Energy at 0K-15.680206
Energy at 298.15K-15.679583
HF Energy-15.680206
Nuclear repulsion energy10.207916
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 B3LYP/CEP-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 2054 1989 0.60      
2 Σ 240 233 48.16      
3 Π 94 91 14.49      
3 Π 94 91 14.49      

Unscaled Zero Point Vibrational Energy (zpe) 1240.4 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 1201.2 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 B3LYP/CEP-31G
B
0.09024

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.370
C2 0.000 0.000 -1.352
N3 0.000 0.000 -2.560

Atom - Atom Distances (Å)
  K1 C2 N3
K12.72153.9301
C22.72151.2086
N33.93011.2086

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 B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.801      
2 C -0.888      
3 N 0.087      


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 13.818 13.818
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.713 0.000 0.000
y 0.000 -14.713 0.000
z 0.000 0.000 -22.553
Traceless
 xyz
x 3.920 0.000 0.000
y 0.000 3.920 0.000
z 0.000 0.000 -7.840
Polar
3z2-r2-15.680
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 2.808 0.000 0.000
y 0.000 2.808 0.000
z 0.000 0.000 5.974


<r2> (average value of r2) Å2
<r2> 52.776
(<r2>)1/2 7.265

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3LYP/CEP-31G
 hartrees
Energy at 0K-15.684899
Energy at 298.15K-15.684236
HF Energy-15.684899
Nuclear repulsion energy10.291039
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 B3LYP/CEP-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 2001 1938 85.41      
2 Σ 272 263 57.57      
3 Π 71 69 6.07      
3 Π 71 69 6.07      

Unscaled Zero Point Vibrational Energy (zpe) 1207.5 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 1169.3 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 B3LYP/CEP-31G
B
0.10478

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.265
C2 0.000 0.000 -2.505
N3 0.000 0.000 -1.288

Atom - Atom Distances (Å)
  K1 C2 N3
K13.77052.5531
C23.77051.2174
N32.55311.2174

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 B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.841      
2 C -0.593      
3 N -0.249      


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 13.606 13.606
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.461 0.000 0.000
y 0.000 -14.461 0.000
z 0.000 0.000 -24.527
Traceless
 xyz
x 5.033 0.000 0.000
y 0.000 5.033 0.000
z 0.000 0.000 -10.065
Polar
3z2-r2-20.131
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 2.526 0.000 0.000
y 0.000 2.526 0.000
z 0.000 0.000 5.598


<r2> (average value of r2) Å2
<r2> 46.120
(<r2>)1/2 6.791

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3LYP/CEP-31G
 hartrees
Energy at 0K-15.683742
Energy at 298.15K-15.683435
HF Energy-15.683742
Nuclear repulsion energy10.390236
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 B3LYP/CEP-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' 1976 1914 33.42      
2 A' 276 267 43.10      
3 A' 81 78 12.81      

Unscaled Zero Point Vibrational Energy (zpe) 1166.5 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 1129.6 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 B3LYP/CEP-31G
ABC
1.97735 0.13952 0.13032

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.126 0.000
C2 0.621 -1.855 0.000
N3 -0.532 -1.466 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K13.04452.6463
C23.04451.2172
N32.64631.2172

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 59.627 K1 N3 C2 96.993
C2 K1 N3 23.380
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.787      
2 C -0.641      
3 N -0.146      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.192 12.144 0.000 12.145
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.310 1.668 0.000
y 1.668 -18.899 0.000
z 0.000 0.000 -14.847
Traceless
 xyz
x -2.437 1.668 0.000
y 1.668 -1.820 0.000
z 0.000 0.000 4.257
Polar
3z2-r28.514
x2-y2-0.411
xy1.668
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.260 -0.442 0.000
y -0.442 3.628 0.000
z 0.000 0.000 2.931


<r2> (average value of r2) Å2
<r2> 39.783
(<r2>)1/2 6.307