return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31+G**
 hartrees
Energy at 0K-692.763251
Energy at 298.15K-692.762693
HF Energy-692.763251
Nuclear repulsion energy60.217273
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 B3LYPultrafine/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 2195 2113 0.04      
2 Σ 277 266 60.79      
3 Π 98 94 10.48      
3 Π 98 94 10.48      

Unscaled Zero Point Vibrational Energy (zpe) 1333.1 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 1283.4 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 B3LYPultrafine/6-31+G**
B
0.09583

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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 -1.310
N3 0.000 0.000 -2.485

Atom - Atom Distances (Å)
  K1 C2 N3
K12.63933.8146
C22.63931.1753
N33.81461.1753

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 B3LYPultrafine/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 12.795 12.795
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.558 0.000 0.000
y 0.000 -23.558 0.000
z 0.000 0.000 -32.210
Traceless
 xyz
x 4.326 0.000 0.000
y 0.000 4.326 0.000
z 0.000 0.000 -8.652
Polar
3z2-r2-17.304
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 3.491 0.000 0.000
y 0.000 3.491 0.000
z 0.000 0.000 7.477


<r2> (average value of r2) Å2
<r2> 103.624
(<r2>)1/2 10.180

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3LYPultrafine/6-31+G**
 hartrees
Energy at 0K-692.766350
Energy at 298.15K-692.765724
HF Energy-692.766350
Nuclear repulsion energy63.619332
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 B3LYPultrafine/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 2055 106.54      
2 Σ 310 299 72.68      
3 Π 68 65 3.76      
3 Π 68 65 3.76      

Unscaled Zero Point Vibrational Energy (zpe) 1289.9 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 1241.8 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 B3LYPultrafine/6-31+G**
B
0.11098

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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 -2.434
N3 0.000 0.000 -1.251

Atom - Atom Distances (Å)
  K1 C2 N3
K13.66392.4803
C23.66391.1836
N32.48031.1836

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 B3LYPultrafine/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 12.558 12.558
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.493 0.000 0.000
y 0.000 -23.493 0.000
z 0.000 0.000 -33.813
Traceless
 xyz
x 5.160 0.000 0.000
y 0.000 5.160 0.000
z 0.000 0.000 -10.319
Polar
3z2-r2-20.639
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 7.202


<r2> (average value of r2) Å2
<r2> 92.052
(<r2>)1/2 9.594

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3LYPultrafine/6-31+G**
 hartrees
Energy at 0K-692.767795
Energy at 298.15K-692.767633
HF Energy-692.767795
Nuclear repulsion energy67.646067
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 B3LYPultrafine/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 2048 28.78      
2 A' 294 283 64.51      
3 A' 151 145 7.59      

Unscaled Zero Point Vibrational Energy (zpe) 1285.6 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 1237.7 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 B3LYPultrafine/6-31+G**
ABC
1.91687 0.15765 0.14567

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.063 0.000
C2 0.629 -1.653 0.000
N3 -0.539 -1.467 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.78742.5867
C22.78741.1826
N32.58671.1826

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 67.929 K1 N3 C2 87.004
C2 K1 N3 25.067
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/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
  -0.342 10.679 0.000 10.684
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.861 0.922 0.000
y 0.922 -27.386 0.000
z 0.000 0.000 -23.540
Traceless
 xyz
x -2.398 0.922 0.000
y 0.922 -1.685 0.000
z 0.000 0.000 4.083
Polar
3z2-r28.166
x2-y2-0.475
xy0.922
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.238 -0.295 0.000
y -0.295 5.147 0.000
z 0.000 0.000 3.781


<r2> (average value of r2) Å2
<r2> 73.726
(<r2>)1/2 8.586