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: PBEPBEultrafine/3-21G

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 PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-688.898626
Energy at 298.15K-688.898093
HF Energy-688.898626
Nuclear repulsion energy60.601303
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 PBEPBEultrafine/3-21G
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 2078 2059 6.55      
2 Σ 274 272 38.57      
3 Π 105 104 19.93      
3 Π 105 104 19.93      

Unscaled Zero Point Vibrational Energy (zpe) 1281.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 1269.8 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 PBEPBEultrafine/3-21G
B
0.09815

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.312
C2 0.000 0.000 -1.276
N3 0.000 0.000 -2.467

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58733.7785
C22.58731.1912
N33.77851.1912

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 PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.600      
2 C -0.171      
3 N -0.429      


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 11.670 11.670
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.480 0.000 0.000
y 0.000 -24.480 0.000
z 0.000 0.000 -28.594
Traceless
 xyz
x 2.057 0.000 0.000
y 0.000 2.057 0.000
z 0.000 0.000 -4.115
Polar
3z2-r2-8.229
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 4.460 0.000 0.000
y 0.000 4.460 0.000
z 0.000 0.000 8.403


<r2> (average value of r2) Å2
<r2> 101.195
(<r2>)1/2 10.060

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-688.899001
Energy at 298.15K 
HF Energy-688.899001
Nuclear repulsion energy63.735116
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 PBEPBEultrafine/3-21G
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 2032 2013 56.34      
2 Σ 298 295 37.23      
3 Π 48i 48i 3.40      
3 Π 48i 48i 3.40      

Unscaled Zero Point Vibrational Energy (zpe) 1116.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 1106.1 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 PBEPBEultrafine/3-21G
B
0.11212

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.222
C2 0.000 0.000 -2.431
N3 0.000 0.000 -1.233

Atom - Atom Distances (Å)
  K1 C2 N3
K13.65292.4549
C23.65291.1981
N32.45491.1981

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 PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.596      
2 C -0.005      
3 N -0.591      


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 11.919 11.919
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.563 0.000 0.000
y 0.000 -24.563 0.000
z 0.000 0.000 -31.849
Traceless
 xyz
x 3.643 0.000 0.000
y 0.000 3.643 0.000
z 0.000 0.000 -7.286
Polar
3z2-r2-14.571
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 4.601 0.000 0.000
y 0.000 4.601 0.000
z 0.000 0.000 10.173


<r2> (average value of r2) Å2
<r2> 91.328
(<r2>)1/2 9.557

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-688.903895
Energy at 298.15K-688.903728
HF Energy-688.903895
Nuclear repulsion energy67.525707
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 PBEPBEultrafine/3-21G
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' 1988 1970 8.56      
2 A' 285 282 41.83      
3 A' 154 153 3.23      

Unscaled Zero Point Vibrational Energy (zpe) 1213.1 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 1202.1 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 PBEPBEultrafine/3-21G
ABC
1.82867 0.15965 0.14684

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.057 0.000
C2 0.643 -1.612 0.000
N3 -0.552 -1.486 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.74492.6017
C22.74491.2016
N32.60171.2016

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 70.428 K1 N3 C2 83.775
C2 K1 N3 25.797
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.550      
2 C -0.071      
3 N -0.479      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.555 10.296 0.000 10.311
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.770 0.850 0.000
y 0.850 -25.736 0.000
z 0.000 0.000 -24.715
Traceless
 xyz
x -3.544 0.850 0.000
y 0.850 1.006 0.000
z 0.000 0.000 2.538
Polar
3z2-r25.075
x2-y2-3.033
xy0.850
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.087 -0.037 0.000
y -0.037 4.769 0.000
z 0.000 0.000 4.267


<r2> (average value of r2) Å2
<r2> 73.363
(<r2>)1/2 8.565