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

using model chemistry: B2PLYP/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 B2PLYP/3-21G
 hartrees
Energy at 0K-688.930029
Energy at 298.15K-688.929491
HF Energy-688.855350
Nuclear repulsion energy60.374017
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/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 2084 2084 2.10      
2 Σ 280 280 44.42      
3 Π 102 102 19.49      
3 Π 102 102 19.49      

Unscaled Zero Point Vibrational Energy (zpe) 1283.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1283.6 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/3-21G
B
0.09704

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.320
C2 0.000 0.000 -1.290
N3 0.000 0.000 -2.477

Atom - Atom Distances (Å)
  K1 C2 N3
K12.60963.7968
C22.60961.1872
N33.79681.1872

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/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.642      
2 C -0.201      
3 N -0.440      


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 12.302 12.302
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.927 0.000 0.000
y 0.000 -23.927 0.000
z 0.000 0.000 -28.955
Traceless
 xyz
x 2.514 0.000 0.000
y 0.000 2.514 0.000
z 0.000 0.000 -5.027
Polar
3z2-r2-10.054
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 3.200 0.000 0.000
y 0.000 3.200 0.000
z 0.000 0.000 5.528


<r2> (average value of r2) Å2
<r2> 102.018
(<r2>)1/2 10.100

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP/3-21G
 hartrees
Energy at 0K-688.930519
Energy at 298.15K 
HF Energy-688.859766
Nuclear repulsion energy63.601854
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/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 2102 2102 0.21      
2 Σ 310 310 52.55      
3 Π 40i 40i 3.23      
3 Π 40i 40i 3.23      

Unscaled Zero Point Vibrational Energy (zpe) 1165.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1165.3 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/3-21G
B
0.11125

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.227
C2 0.000 0.000 -2.435
N3 0.000 0.000 -1.244

Atom - Atom Distances (Å)
  K1 C2 N3
K13.66292.4716
C23.66291.1913
N32.47161.1913

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/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.658      
2 C -0.027      
3 N -0.631      


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 12.741 12.741
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.957 0.000 0.000
y 0.000 -23.957 0.000
z 0.000 0.000 -32.566
Traceless
 xyz
x 4.304 0.000 0.000
y 0.000 4.304 0.000
z 0.000 0.000 -8.609
Polar
3z2-r2-17.218
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 3.065 0.000 0.000
y 0.000 3.065 0.000
z 0.000 0.000 4.496


<r2> (average value of r2) Å2
<r2> 91.805
(<r2>)1/2 9.581

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B2PLYP/3-21G
 hartrees
Energy at 0K-688.935033
Energy at 298.15K-688.934879
HF Energy-688.861446
Nuclear repulsion energy67.179550
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/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' 2026 2026 16.76      
2 A' 292 292 44.82      
3 A' 157 157 4.86      

Unscaled Zero Point Vibrational Energy (zpe) 1237.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1237.0 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/3-21G
ABC
1.85245 0.15651 0.14432

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.067 0.000
C2 0.639 -1.636 0.000
N3 -0.548 -1.493 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.77782.6184
C22.77781.1960
N32.61841.1960

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 69.833 K1 N3 C2 84.777
C2 K1 N3 25.390
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.598      
2 C -0.088      
3 N -0.510      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.559 10.840 0.000 10.854
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.652 1.004 0.000
y 1.004 -25.946 0.000
z 0.000 0.000 -24.306
Traceless
 xyz
x -3.526 1.004 0.000
y 1.004 0.533 0.000
z 0.000 0.000 2.992
Polar
3z2-r25.984
x2-y2-2.706
xy1.004
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.228 -0.001 0.000
y -0.001 2.798 0.000
z 0.000 0.000 3.268


<r2> (average value of r2) Å2
<r2> 74.288
(<r2>)1/2 8.619