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

using model chemistry: B3LYP/6-31+G**

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 B3LYP/6-31+G**
 hartrees
Energy at 0K-692.763234
Energy at 298.15K-692.762652
HF Energy-692.763234
Nuclear repulsion energy60.244079
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/6-31+G**
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 2194 2116 0.04      
2 Σ 273 264 60.78      
3 Π 92 89 10.50      
3 Π 92 89 10.50      

Unscaled Zero Point Vibrational Energy (zpe) 1325.8 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 1278.4 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/6-31+G**
B
0.09594

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.329
C2 0.000 0.000 -1.309
N3 0.000 0.000 -2.484

Atom - Atom Distances (Å)
  K1 C2 N3
K12.63733.8126
C22.63731.1753
N33.81261.1753

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.995      
2 C -0.613      
3 N -0.382      


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 12.786 12.786
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.557 0.000 0.000
y 0.000 -23.557 0.000
z 0.000 0.000 -32.203
Traceless
 xyz
x 4.323 0.000 0.000
y 0.000 4.323 0.000
z 0.000 0.000 -8.646
Polar
3z2-r2-17.293
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 3.485 0.000 0.000
y 0.000 3.485 0.000
z 0.000 0.000 7.474


<r2> (average value of r2) Å2
<r2> 103.522
(<r2>)1/2 10.175

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-692.766329
Energy at 298.15K-692.765678
HF Energy-692.766329
Nuclear repulsion energy63.595418
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/6-31+G**
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 2135 2058 106.35      
2 Σ 308 297 72.61      
3 Π 61 59 3.76      
3 Π 61 59 3.76      

Unscaled Zero Point Vibrational Energy (zpe) 1282.9 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 1237.0 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 B3LYP/6-31+G**
B
0.11088

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.230
C2 0.000 0.000 -2.435
N3 0.000 0.000 -1.252

Atom - Atom Distances (Å)
  K1 C2 N3
K13.66542.4818
C23.66541.1836
N32.48181.1836

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.920      
2 C -0.270      
3 N -0.650      


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 12.566 12.566
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.494 0.000 0.000
y 0.000 -23.494 0.000
z 0.000 0.000 -33.820
Traceless
 xyz
x 5.163 0.000 0.000
y 0.000 5.163 0.000
z 0.000 0.000 -10.326
Polar
3z2-r2-20.652
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 3.498 0.000 -0.000
y 0.000 3.498 0.000
z -0.000 0.000 7.204


<r2> (average value of r2) Å2
<r2> 92.124
(<r2>)1/2 9.598

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-692.767811
Energy at 298.15K-692.767647
HF Energy-692.767811
Nuclear repulsion energy67.651739
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/6-31+G**
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' 2127 2051 28.83      
2 A' 294 284 64.18      
3 A' 149 143 7.96      

Unscaled Zero Point Vibrational Energy (zpe) 1285.1 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 1239.1 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 B3LYP/6-31+G**
ABC
1.91800 0.15767 0.14569

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.062 0.000
C2 0.629 -1.654 0.000
N3 -0.539 -1.466 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.78812.5856
C22.78811.1825
N32.58561.1825

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 67.845 K1 N3 C2 87.094
C2 K1 N3 25.061
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.910      
2 C -0.439      
3 N -0.471      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.341 10.679 0.000 10.684
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.858 0.928 0.000
y 0.928 -27.389 0.000
z 0.000 0.000 -23.540
Traceless
 xyz
x -2.394 0.928 0.000
y 0.928 -1.690 0.000
z 0.000 0.000 4.084
Polar
3z2-r28.168
x2-y2-0.470
xy0.928
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.233 -0.296 -0.000
y -0.296 5.147 0.000
z -0.000 0.000 3.781


<r2> (average value of r2) Å2
<r2> 73.718
(<r2>)1/2 8.586