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: PBEPBE/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 PBEPBE/6-311G*
 hartrees
Energy at 0K-692.472567
Energy at 298.15K-692.471939
HF Energy-692.472567
Nuclear repulsion energy61.143914
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 PBEPBE/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 2129 2107 5.93      
2 Σ 283 280 60.07      
3 Π 76 75 11.19      
3 Π 76 75 11.19      

Unscaled Zero Point Vibrational Energy (zpe) 1281.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1268.5 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 PBEPBE/6-311G*
B
0.09974

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.301
C2 0.000 0.000 -1.268
N3 0.000 0.000 -2.445

Atom - Atom Distances (Å)
  K1 C2 N3
K12.56993.7468
C22.56991.1769
N33.74681.1769

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 PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.708      
2 C -0.411      
3 N -0.296      


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 11.489 11.489
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.283 0.000 0.000
y 0.000 -23.283 0.000
z 0.000 0.000 -30.250
Traceless
 xyz
x 3.484 0.000 0.000
y 0.000 3.484 0.000
z 0.000 0.000 -6.967
Polar
3z2-r2-13.934
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 3.596 0.000 0.000
y 0.000 3.596 0.000
z 0.000 0.000 8.003


<r2> (average value of r2) Å2
<r2> 99.684
(<r2>)1/2 9.984

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-692.473797
Energy at 298.15K 
HF Energy-692.473797
Nuclear repulsion energy64.539829
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 PBEPBE/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 2069 2048 107.41      
2 Σ 316 312 72.04      
3 Π 66i 65i 1.66      
3 Π 66i 65i 1.66      

Unscaled Zero Point Vibrational Energy (zpe) 1126.7 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1115.0 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 PBEPBE/6-311G*
B
0.11507

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.206
C2 0.000 0.000 -2.401
N3 0.000 0.000 -1.215

Atom - Atom Distances (Å)
  K1 C2 N3
K13.60692.4214
C23.60691.1855
N32.42141.1855

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 PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.712      
2 C -0.220      
3 N -0.491      


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 11.621 11.621
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.219 0.000 0.000
y 0.000 -23.219 0.000
z 0.000 0.000 -32.900
Traceless
 xyz
x 4.841 0.000 0.000
y 0.000 4.841 0.000
z 0.000 0.000 -9.681
Polar
3z2-r2-19.363
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 3.581 0.000 0.000
y 0.000 3.581 0.000
z 0.000 0.000 8.104


<r2> (average value of r2) Å2
<r2> 89.077
(<r2>)1/2 9.438

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-692.478987
Energy at 298.15K-692.478859
HF Energy-692.478987
Nuclear repulsion energy68.816938
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 PBEPBE/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' 2054 2033 17.82      
2 A' 305 302 67.56      
3 A' 163 162 6.22      

Unscaled Zero Point Vibrational Energy (zpe) 1261.1 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1248.0 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 PBEPBE/6-311G*
ABC
1.89015 0.16639 0.15293

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.035 0.000
C2 0.633 -1.595 0.000
N3 -0.543 -1.441 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.70462.5346
C22.70461.1858
N32.53461.1858

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 69.017 K1 N3 C2 85.083
C2 K1 N3 25.900
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.647      
2 C -0.254      
3 N -0.393      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.500 9.652 0.000 9.665
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.526 0.973 0.000
y 0.973 -26.160 0.000
z 0.000 0.000 -23.462
Traceless
 xyz
x -2.715 0.973 0.000
y 0.973 -0.666 0.000
z 0.000 0.000 3.381
Polar
3z2-r26.763
x2-y2-1.366
xy0.973
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.880 -0.232 0.000
y -0.232 5.395 0.000
z 0.000 0.000 3.735


<r2> (average value of r2) Å2
<r2> 70.666
(<r2>)1/2 8.406