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

using model chemistry: PBE1PBE/6-31G

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
 hartrees
Energy at 0K-692.414984
Energy at 298.15K-692.414472
HF Energy-692.414984
Nuclear repulsion energy60.487219
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
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 2172 2076 0.04      
2 Σ 287 275 51.35      
3 Π 107 103 15.39      
3 Π 107 103 15.39      

Unscaled Zero Point Vibrational Energy (zpe) 1336.8 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 1277.9 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
B
0.09739

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.317
C2 0.000 0.000 -1.287
N3 0.000 0.000 -2.472

Atom - Atom Distances (Å)
  K1 C2 N3
K12.60493.7898
C22.60491.1849
N33.78981.1849

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 Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.713      
2 C -0.282      
3 N -0.431      


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 12.674 12.674
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.296 0.000 0.000
y 0.000 -23.296 0.000
z 0.000 0.000 -30.069
Traceless
 xyz
x 3.387 0.000 0.000
y 0.000 3.387 0.000
z 0.000 0.000 -6.773
Polar
3z2-r2-13.546
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 2.865 0.000 0.000
y 0.000 2.865 0.000
z 0.000 0.000 5.996


<r2> (average value of r2) Å2
<r2> 101.670
(<r2>)1/2 10.083

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-692.416159
Energy at 298.15K-692.415475
HF Energy-692.416159
Nuclear repulsion energy63.743273
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
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 2114 2021 77.37      
2 Σ 321 307 58.13      
3 Π 49 47 6.18      
3 Π 49 47 6.17      

Unscaled Zero Point Vibrational Energy (zpe) 1266.6 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 1210.7 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
B
0.11195

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.223
C2 0.000 0.000 -2.430
N3 0.000 0.000 -1.237

Atom - Atom Distances (Å)
  K1 C2 N3
K13.65352.4601
C23.65351.1935
N32.46011.1935

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 Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.761      
2 C -0.131      
3 N -0.630      


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 12.538 12.538
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.267 0.000 0.000
y 0.000 -23.267 0.000
z 0.000 0.000 -31.737
Traceless
 xyz
x 4.235 0.000 0.000
y 0.000 4.235 0.000
z 0.000 0.000 -8.471
Polar
3z2-r2-16.941
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 2.725 0.000 -0.000
y 0.000 2.725 -0.000
z -0.000 -0.000 5.826


<r2> (average value of r2) Å2
<r2> 90.872
(<r2>)1/2 9.533

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-692.417031
Energy at 298.15K-692.416816
HF Energy-692.417031
Nuclear repulsion energy67.175385
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
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' 2086 1994 23.15      
2 A' 297 284 48.96      
3 A' 117 112 5.95      

Unscaled Zero Point Vibrational Energy (zpe) 1249.8 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 1194.7 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
ABC
1.90214 0.15545 0.14371

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.070 0.000
C2 0.632 -1.684 0.000
N3 -0.541 -1.459 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.82522.5862
C22.82521.1943
N32.58621.1943

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 66.234 K1 N3 C2 88.765
C2 K1 N3 25.002
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.688      
2 C -0.169      
3 N -0.520      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.253 11.019 0.000 11.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.021 0.817 0.000
y 0.817 -26.165 0.000
z 0.000 0.000 -23.607
Traceless
 xyz
x -3.135 0.817 0.000
y 0.817 -0.351 0.000
z 0.000 0.000 3.486
Polar
3z2-r26.972
x2-y2-1.856
xy0.817
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.245 -0.122 0.000
y -0.122 3.595 0.000
z 0.000 0.000 2.957


<r2> (average value of r2) Å2
<r2> 74.303
(<r2>)1/2 8.620