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: PBE1PBE/6-31G(2df,p)

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 PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-692.459366
Energy at 298.15K-692.458602
HF Energy-692.459366
Nuclear repulsion energy61.304023
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 PBE1PBE/6-31G(2df,p)
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 2229 2133 2.19      
2 Σ 292 280 58.27      
3 Π 37 35 9.23      
3 Π 37 35 9.23      

Unscaled Zero Point Vibrational Energy (zpe) 1297.3 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 1241.6 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 PBE1PBE/6-31G(2df,p)
B
0.09996

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

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 -1.272
N3 0.000 0.000 -2.440

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57273.7401
C22.57271.1675
N33.74011.1675

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 PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.647      
2 C -0.415      
3 N -0.232      


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 11.797 11.797
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.910 0.000 0.000
y 0.000 -22.910 0.000
z 0.000 0.000 -29.824
Traceless
 xyz
x 3.457 0.000 0.000
y 0.000 3.457 0.000
z 0.000 0.000 -6.914
Polar
3z2-r2-13.829
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 3.472 0.000 -0.004
y 0.000 3.469 0.000
z -0.004 0.000 6.515


<r2> (average value of r2) Å2
<r2> 99.257
(<r2>)1/2 9.963

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-692.462132
Energy at 298.15K 
HF Energy-692.462132
Nuclear repulsion energy64.882914
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 PBE1PBE/6-31G(2df,p)
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 2160 2067 116.46      
2 Σ 331 317 72.36      
3 Π 87i 83i 1.21      
3 Π 87i 83i 1.21      

Unscaled Zero Point Vibrational Energy (zpe) 1158.9 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 1109.0 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 PBE1PBE/6-31G(2df,p)
B
0.11618

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.200
C2 0.000 0.000 -2.388
N3 0.000 0.000 -1.211

Atom - Atom Distances (Å)
  K1 C2 N3
K13.58842.4116
C23.58841.1768
N32.41161.1768

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 PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.684      
2 C -0.353      
3 N -0.331      


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 11.657 11.657
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.918 0.000 0.000
y 0.000 -22.918 0.000
z 0.000 0.000 -31.996
Traceless
 xyz
x 4.539 0.000 0.000
y 0.000 4.539 0.000
z 0.000 0.000 -9.079
Polar
3z2-r2-18.157
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 3.438 0.000 0.000
y 0.000 3.438 0.000
z 0.000 0.000 6.273


<r2> (average value of r2) Å2
<r2> 88.065
(<r2>)1/2 9.384

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-692.468924
Energy at 298.15K-692.468832
HF Energy-692.468924
Nuclear repulsion energy69.122823
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 PBE1PBE/6-31G(2df,p)
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' 2146 2054 23.75      
2 A' 313 299 64.79      
3 A' 180 172 4.33      

Unscaled Zero Point Vibrational Energy (zpe) 1319.5 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 1262.7 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 PBE1PBE/6-31G(2df,p)
ABC
1.90840 0.16765 0.15411

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.031 0.000
C2 0.630 -1.577 0.000
N3 -0.540 -1.446 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.68302.5356
C22.68301.1771
N32.53561.1771

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 70.052 K1 N3 C2 84.075
C2 K1 N3 25.874
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.610      
2 C -0.309      
3 N -0.301      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.457 9.653 0.000 9.664
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.123 0.785 0.000
y 0.785 -25.387 0.000
z 0.000 0.000 -23.172
Traceless
 xyz
x -2.843 0.785 0.000
y 0.785 -0.239 0.000
z 0.000 0.000 3.083
Polar
3z2-r26.165
x2-y2-1.736
xy0.785
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.496 -0.127 0.000
y -0.127 4.626 0.000
z 0.000 0.000 3.541


<r2> (average value of r2) Å2
<r2> 69.941
(<r2>)1/2 8.363