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

using model chemistry: B2PLYP/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 B2PLYP/6-31G
 hartrees
Energy at 0K-692.390927
Energy at 298.15K-692.390399
HF Energy-692.313957
Nuclear repulsion energy59.930729
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 B2PLYP/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 2057 2057 2.00      
2 Σ 282 282 49.32      
3 Π 105 105 15.51      
3 Π 105 105 15.51      

Unscaled Zero Point Vibrational Energy (zpe) 1274.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1274.3 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 B2PLYP/6-31G
B
0.09565

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.329
C2 0.000 0.000 -1.298
N3 0.000 0.000 -2.495

Atom - Atom Distances (Å)
  K1 C2 N3
K12.62773.8245
C22.62771.1968
N33.82451.1968

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 B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.693      
2 C -0.287      
3 N -0.406      


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 12.757 12.757
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.492 0.000 0.000
y 0.000 -23.492 0.000
z 0.000 0.000 -30.236
Traceless
 xyz
x 3.372 0.000 0.000
y 0.000 3.372 0.000
z 0.000 0.000 -6.744
Polar
3z2-r2-13.489
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 2.906 0.000 0.000
y 0.000 2.906 0.000
z 0.000 0.000 5.894


<r2> (average value of r2) Å2
<r2> 103.349
(<r2>)1/2 10.166

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP/6-31G
 hartrees
Energy at 0K-692.390996
Energy at 298.15K-692.390274
HF Energy-692.317916
Nuclear repulsion energy63.198127
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 B2PLYP/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 2025 2025 55.28      
2 Σ 315 315 57.05      
3 Π 41 41 5.25      
3 Π 41 41 5.25      

Unscaled Zero Point Vibrational Energy (zpe) 1211.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1211.1 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 B2PLYP/6-31G
B
0.11002

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.234
C2 0.000 0.000 -2.451
N3 0.000 0.000 -1.248

Atom - Atom Distances (Å)
  K1 C2 N3
K13.68522.4820
C23.68521.2032
N32.48201.2032

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 B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.745      
2 C -0.138      
3 N -0.607      


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 12.737 12.737
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.452 0.000 0.000
y 0.000 -23.452 0.000
z 0.000 0.000 -32.349
Traceless
 xyz
x 4.449 0.000 0.000
y 0.000 4.449 0.000
z 0.000 0.000 -8.898
Polar
3z2-r2-17.795
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 2.713 0.000 0.000
y 0.000 2.713 0.000
z 0.000 0.000 5.630


<r2> (average value of r2) Å2
<r2> 92.386
(<r2>)1/2 9.612

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B2PLYP/6-31G
 hartrees
Energy at 0K-692.392889
Energy at 298.15K-692.392689
HF Energy-692.316732
Nuclear repulsion energy66.647054
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 B2PLYP/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' 1980 1980 11.77      
2 A' 287 287 50.25      
3 A' 133 133 4.25      

Unscaled Zero Point Vibrational Energy (zpe) 1200.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1200.3 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 B2PLYP/6-31G
ABC
1.83453 0.15382 0.14192

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.076 0.000
C2 0.643 -1.664 0.000
N3 -0.551 -1.494 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.81442.6284
C22.81441.2056
N32.62841.2056

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 68.693 K1 N3 C2 86.008
C2 K1 N3 25.299
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.665      
2 C -0.177      
3 N -0.488      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.356 11.032 0.000 11.038
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.427 0.752 0.000
y 0.752 -26.192 0.000
z 0.000 0.000 -23.840
Traceless
 xyz
x -3.410 0.752 0.000
y 0.752 -0.059 0.000
z 0.000 0.000 3.469
Polar
3z2-r26.938
x2-y2-2.234
xy0.752
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.280 -0.037 0.000
y -0.037 3.581 0.000
z 0.000 0.000 3.010


<r2> (average value of r2) Å2
<r2> 75.173
(<r2>)1/2 8.670