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: B3PW91/6-311G**

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 B3PW91/6-311G**
 hartrees
Energy at 0K-692.716489
Energy at 298.15K-692.715872
HF Energy-692.716489
Nuclear repulsion energy61.252602
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 B3PW91/6-311G**
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 2212 2130 2.65      
2 Σ 284 273 66.13      
3 Π 78 75 10.76      
3 Π 78 75 10.76      

Unscaled Zero Point Vibrational Energy (zpe) 1325.4 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 1276.5 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 B3PW91/6-311G**
B
0.09966

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.303
C2 0.000 0.000 -1.276
N3 0.000 0.000 -2.442

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57893.7446
C22.57891.1658
N33.74461.1658

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 B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.763      
2 C -0.433      
3 N -0.330      


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 11.970 11.970
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.878 0.000 0.000
y 0.000 -22.878 0.000
z 0.000 0.000 -30.430
Traceless
 xyz
x 3.776 0.000 0.000
y 0.000 3.776 0.000
z 0.000 0.000 -7.552
Polar
3z2-r2-15.103
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 3.091 0.000 0.000
y 0.000 3.091 0.000
z 0.000 0.000 6.374


<r2> (average value of r2) Å2
<r2> 99.619
(<r2>)1/2 9.981

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-692.719076
Energy at 298.15K 
HF Energy-692.719076
Nuclear repulsion energy64.745376
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 B3PW91/6-311G**
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 2148 2068 121.15      
2 Σ 319 308 82.28      
3 Π 57i 55i 2.07      
3 Π 57i 55i 2.07      

Unscaled Zero Point Vibrational Energy (zpe) 1176.5 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 1133.0 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 B3PW91/6-311G**
B
0.11549

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.204
C2 0.000 0.000 -2.393
N3 0.000 0.000 -1.218

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59712.4223
C23.59711.1747
N32.42231.1747

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 B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.769      
2 C -0.222      
3 N -0.547      


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 11.926 11.926
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.772 0.000 0.000
y 0.000 -22.772 0.000
z 0.000 0.000 -32.785
Traceless
 xyz
x 5.007 0.000 0.000
y 0.000 5.007 0.000
z 0.000 0.000 -10.014
Polar
3z2-r2-20.028
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 3.047 0.000 0.000
y 0.000 3.047 0.000
z 0.000 0.000 6.234


<r2> (average value of r2) Å2
<r2> 88.602
(<r2>)1/2 9.413

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-692.722968
Energy at 298.15K-692.722826
HF Energy-692.722968
Nuclear repulsion energy68.844083
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 B3PW91/6-311G**
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' 2136 2057 24.58      
2 A' 308 297 69.61      
3 A' 150 144 8.01      

Unscaled Zero Point Vibrational Energy (zpe) 1296.6 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 1248.8 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 B3PW91/6-311G**
ABC
1.95075 0.16471 0.15188

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.039 0.000
C2 0.624 -1.625 0.000
N3 -0.534 -1.428 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.73662.5245
C22.73661.1746
N32.52451.1746

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 67.160 K1 N3 C2 87.448
C2 K1 N3 25.392
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.711      
2 C -0.270      
3 N -0.441      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.435 10.028 0.000 10.037
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.114 1.076 0.000
y 1.076 -26.300 0.000
z 0.000 0.000 -23.011
Traceless
 xyz
x -2.459 1.076 0.000
y 1.076 -1.238 0.000
z 0.000 0.000 3.696
Polar
3z2-r27.393
x2-y2-0.814
xy1.076
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.394 -0.248 0.000
y -0.248 4.550 0.000
z 0.000 0.000 3.232


<r2> (average value of r2) Å2
<r2> 70.890
(<r2>)1/2 8.420