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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-692.472499
Energy at 298.15K-692.471886
HF Energy-692.472499
Nuclear repulsion energy61.096214
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/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 5.87      
2 Σ 283 280 59.94      
3 Π 80 79 11.19      
3 Π 80 79 11.19      

Unscaled Zero Point Vibrational Energy (zpe) 1285.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1272.4 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/6-311G*
B
0.09954

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.303
C2 0.000 0.000 -1.270
N3 0.000 0.000 -2.447

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57333.7501
C22.57331.1769
N33.75011.1769

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 PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.708      
2 C -0.411      
3 N -0.297      


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 11.505 11.505
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.285 0.000 0.000
y 0.000 -23.285 0.000
z 0.000 0.000 -30.257
Traceless
 xyz
x 3.486 0.000 0.000
y 0.000 3.486 0.000
z 0.000 0.000 -6.972
Polar
3z2-r2-13.944
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 3.598 0.000 0.000
y 0.000 3.598 0.000
z 0.000 0.000 8.017


<r2> (average value of r2) Å2
<r2> 99.854
(<r2>)1/2 9.993

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-692.473758
Energy at 298.15K 
HF Energy-692.473758
Nuclear repulsion energy64.566590
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/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 107.62      
2 Σ 317 314 72.09      
3 Π 60i 59i 1.66      
3 Π 60i 59i 1.66      

Unscaled Zero Point Vibrational Energy (zpe) 1133.1 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1121.3 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/6-311G*
B
0.11518

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.205
C2 0.000 0.000 -2.400
N3 0.000 0.000 -1.214

Atom - Atom Distances (Å)
  K1 C2 N3
K13.60522.4197
C23.60521.1855
N32.41971.1855

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 PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.711      
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 11.613 11.613
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.217 0.000 0.000
y 0.000 -23.217 0.000
z 0.000 0.000 -32.894
Traceless
 xyz
x 4.838 0.000 0.000
y 0.000 4.838 0.000
z 0.000 0.000 -9.676
Polar
3z2-r2-19.353
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 3.580 0.000 0.000
y 0.000 3.580 0.000
z 0.000 0.000 8.102


<r2> (average value of r2) Å2
<r2> 89.000
(<r2>)1/2 9.434

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-692.478903
Energy at 298.15K-692.478772
HF Energy-692.478903
Nuclear repulsion energy68.802725
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/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 17.80      
2 A' 303 300 68.02      
3 A' 163 161 5.74      

Unscaled Zero Point Vibrational Energy (zpe) 1259.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1246.7 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 PBEPBEultrafine/6-311G*
ABC
1.89011 0.16629 0.15284

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 -1.442 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.70532.5354
C22.70531.1857
N32.53541.1857

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 69.026 K1 N3 C2 85.081
C2 K1 N3 25.893
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/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 9.655 0.000 9.668
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.527 0.973 0.000
y 0.973 -26.162 0.000
z 0.000 0.000 -23.462
Traceless
 xyz
x -2.714 0.973 0.000
y 0.973 -0.668 0.000
z 0.000 0.000 3.382
Polar
3z2-r26.764
x2-y2-1.364
xy0.973
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.881 -0.233 0.000
y -0.233 5.394 0.000
z 0.000 0.000 3.737


<r2> (average value of r2) Å2
<r2> 70.697
(<r2>)1/2 8.408