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

using model chemistry: B2PLYP/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-692.474664
Energy at 298.15K-692.474110
HF Energy-692.368110
Nuclear repulsion energy60.042685
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/6-31+G**
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 2125 2024 0.72      
2 Σ 275 262 61.62      
3 Π 99 95 11.44      
3 Π 99 95 11.44      

Unscaled Zero Point Vibrational Energy (zpe) 1299.5 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 1237.6 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/6-31+G**
B
0.09547

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.332
C2 0.000 0.000 -1.309
N3 0.000 0.000 -2.492

Atom - Atom Distances (Å)
  K1 C2 N3
K12.64073.8235
C22.64071.1828
N33.82351.1828

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.997      
2 C -0.600      
3 N -0.397      


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 12.918 12.918
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.594 0.000 0.000
y 0.000 -23.594 0.000
z 0.000 0.000 -32.261
Traceless
 xyz
x 4.333 0.000 0.000
y 0.000 4.333 0.000
z 0.000 0.000 -8.666
Polar
3z2-r2-17.332
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 3.409 0.000 -0.000
y 0.000 3.409 0.000
z -0.000 0.000 6.825


<r2> (average value of r2) Å2
<r2> 103.982
(<r2>)1/2 10.197

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B2PLYP/6-31+G**
 hartrees
Energy at 0K-692.477238
Energy at 298.15K-692.476577
HF Energy-692.373401
Nuclear repulsion energy63.372828
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/6-31+G**
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 2086 1986 82.42      
2 Σ 308 293 73.58      
3 Π 59 56 3.46      
3 Π 59 56 3.46      

Unscaled Zero Point Vibrational Energy (zpe) 1255.7 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 1195.9 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 B2PLYP/6-31+G**
B
0.11018

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

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 -2.444
N3 0.000 0.000 -1.254

Atom - Atom Distances (Å)
  K1 C2 N3
K13.67782.4883
C23.67781.1895
N32.48831.1895

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.929      
2 C -0.240      
3 N -0.689      


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 12.783 12.783
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.533 0.000 0.000
y 0.000 -23.533 0.000
z 0.000 0.000 -34.248
Traceless
 xyz
x 5.357 0.000 0.000
y 0.000 5.357 0.000
z 0.000 0.000 -10.714
Polar
3z2-r2-21.429
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 3.429 0.000 0.000
y 0.000 3.429 0.000
z 0.000 0.000 6.580


<r2> (average value of r2) Å2
<r2> 92.705
(<r2>)1/2 9.628

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B2PLYP/6-31+G**
 hartrees
Energy at 0K-692.479290
Energy at 298.15K-692.479138
HF Energy-692.373652
Nuclear repulsion energy67.537839
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/6-31+G**
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' 2068 1970 17.99      
2 A' 293 279 65.90      
3 A' 157 150 7.18      

Unscaled Zero Point Vibrational Energy (zpe) 1259.3 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 1199.3 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/6-31+G**
ABC
1.88465 0.15791 0.14571

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.062 0.000
C2 0.634 -1.641 0.000
N3 -0.543 -1.475 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.77672.5949
C22.77671.1892
N32.59491.1892

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 68.779 K1 N3 C2 85.931
C2 K1 N3 25.290
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.918      
2 C -0.419      
3 N -0.499      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.394 10.776 0.000 10.783
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.030 0.946 0.000
y 0.946 -27.445 0.000
z 0.000 0.000 -23.591
Traceless
 xyz
x -2.512 0.946 0.000
y 0.946 -1.634 0.000
z 0.000 0.000 4.146
Polar
3z2-r28.292
x2-y2-0.586
xy0.946
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.176 -0.257 0.000
y -0.257 4.753 0.000
z 0.000 0.000 3.708


<r2> (average value of r2) Å2
<r2> 73.770
(<r2>)1/2 8.589