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

using model chemistry: PBE1PBE/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.527451
Energy at 298.15K-692.526840
HF Energy-692.527451
Nuclear repulsion energy61.322906
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/6-311+G(3df,2p)
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 2220 2220 0.81      
2 Σ 281 281 69.91      
3 Π 80 80 6.98      
3 Π 80 80 6.98      

Unscaled Zero Point Vibrational Energy (zpe) 1330.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1330.7 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/6-311+G(3df,2p)
B
0.09980

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311+G(3df,2p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.302
C2 0.000 0.000 -1.277
N3 0.000 0.000 -2.439

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57883.7413
C22.57881.1625
N33.74131.1625

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.976      
2 C -0.270      
3 N -0.705      


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 12.246 12.246
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.152 0.000 0.000
y 0.000 -23.152 0.000
z 0.000 0.000 -31.426
Traceless
 xyz
x 4.137 0.000 0.000
y 0.000 4.137 0.000
z 0.000 0.000 -8.274
Polar
3z2-r2-16.547
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 3.902 0.000 0.000
y 0.000 3.902 0.000
z 0.000 0.000 6.942


<r2> (average value of r2) Å2
<r2> 99.827
(<r2>)1/2 9.991

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.529814
Energy at 298.15K 
HF Energy-692.529814
Nuclear repulsion energy64.824979
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/6-311+G(3df,2p)
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 2156 2156 130.73      
2 Σ 314 314 86.71      
3 Π 52i 52i 1.16      
3 Π 52i 52i 1.16      

Unscaled Zero Point Vibrational Energy (zpe) 1182.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1182.7 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/6-311+G(3df,2p)
B
0.11567

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311+G(3df,2p)

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 -2.390
N3 0.000 0.000 -1.219

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59322.4223
C23.59321.1710
N32.42231.1710

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.941      
2 C -0.150      
3 N -0.791      


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 12.084 12.084
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.110 0.000 0.000
y 0.000 -23.110 0.000
z 0.000 0.000 -33.389
Traceless
 xyz
x 5.140 0.000 0.000
y 0.000 5.140 0.000
z 0.000 0.000 -10.279
Polar
3z2-r2-20.559
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 3.931 0.000 0.000
y 0.000 3.931 -0.000
z 0.000 -0.000 6.772


<r2> (average value of r2) Å2
<r2> 88.757
(<r2>)1/2 9.421

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.533477
Energy at 298.15K-692.533324
HF Energy-692.533477
Nuclear repulsion energy68.943369
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/6-311+G(3df,2p)
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 2146 28.23      
2 A' 303 303 71.52      
3 A' 147 147 8.60      

Unscaled Zero Point Vibrational Energy (zpe) 1298.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1298.2 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/6-311+G(3df,2p)
ABC
1.95948 0.16499 0.15217

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.039 0.000
C2 0.622 -1.620 0.000
N3 -0.533 -1.430 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.73032.5259
C22.73031.1707
N32.52591.1707

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 67.513 K1 N3 C2 87.131
C2 K1 N3 25.356
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.894      
2 C -0.159      
3 N -0.735      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.426 10.047 0.000 10.056
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.263 1.051 0.000
y 1.051 -26.385 0.000
z 0.000 0.000 -23.168
Traceless
 xyz
x -2.487 1.051 0.000
y 1.051 -1.169 0.000
z 0.000 0.000 3.656
Polar
3z2-r27.312
x2-y2-0.878
xy1.051
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.002 -0.208 0.000
y -0.208 5.265 0.000
z 0.000 0.000 3.977


<r2> (average value of r2) Å2
<r2> 70.866
(<r2>)1/2 8.418