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

using model chemistry: wB97X-D/6-31G(2df,p)

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 wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-692.711312
Energy at 298.15K-692.710431
HF Energy-692.711312
Nuclear repulsion energy 
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 wB97X-D/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σ 2237 2237 1.21      
2 Σ 298 298 61.71      
3 Π 6 6 9.50      
3 Π 6 6 9.50      

Unscaled Zero Point Vibrational Energy (zpe) 1272.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1272.9 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 wB97X-D/6-31G(2df,p)
B
0.09932

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.305
C2 0.000 0.000 -1.280
N3 0.000 0.000 -2.445

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58463.7505
C22.58461.1659
N33.75051.1659

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 wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.668      
2 C -0.444      
3 N -0.225      


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 12.082 12.082
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.795 0.000 0.000
y 0.000 -22.795 0.000
z 0.000 0.000 -29.914
Traceless
 xyz
x 3.559 0.000 0.000
y 0.000 3.559 0.000
z 0.000 0.000 -7.118
Polar
3z2-r2-14.236
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 3.314 -0.000 -0.001
y -0.000 3.314 0.000
z -0.001 0.000 5.837


<r2> (average value of r2) Å2
<r2> 99.763
(<r2>)1/2 9.988

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-692.715083
Energy at 298.15K 
HF Energy-692.715083
Nuclear repulsion energy 
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 wB97X-D/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σ 2164 2164 118.91      
2 Σ 329 329 75.44      
3 Π 88i 88i 1.37      
3 Π 88i 88i 1.36      

Unscaled Zero Point Vibrational Energy (zpe) 1158.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1158.1 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 wB97X-D/6-31G(2df,p)
B
0.11541

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

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 -2.394
N3 0.000 0.000 -1.218

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59852.4229
C23.59851.1756
N32.42291.1756

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 wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.702      
2 C -0.357      
3 N -0.345      


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 11.856 11.856
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.784 0.000 0.000
y 0.000 -22.784 0.000
z 0.000 0.000 -32.023
Traceless
 xyz
x 4.620 0.000 0.000
y 0.000 4.620 0.000
z 0.000 0.000 -9.239
Polar
3z2-r2-18.479
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 3.265 -0.001 -0.000
y -0.001 3.264 0.000
z -0.000 0.000 5.720


<r2> (average value of r2) Å2
<r2> 88.497
(<r2>)1/2 9.407

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-692.721074
Energy at 298.15K-692.721019
HF Energy-692.721074
Nuclear repulsion energy68.800977
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 wB97X-D/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 2151 2151 26.61      
2 A' 324 324 62.47      
3 A' 195 195 7.43      

Unscaled Zero Point Vibrational Energy (zpe) 1335.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1335.0 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 wB97X-D/6-31G(2df,p)
ABC
1.92458 0.16500 0.15197

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.039 0.000
C2 0.627 -1.604 0.000
N3 -0.538 -1.445 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.71592.5419
C22.71591.1759
N32.54191.1759

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 68.918 K1 N3 C2 85.511
C2 K1 N3 25.572
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.628      
2 C -0.319      
3 N -0.309      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.435 9.902 0.000 9.911
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.070 0.877 0.000
y 0.877 -25.485 0.000
z 0.000 0.000 -23.076
Traceless
 xyz
x -2.790 0.877 0.000
y 0.877 -0.412 0.000
z 0.000 0.000 3.202
Polar
3z2-r26.403
x2-y2-1.585
xy0.877
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.373 -0.142 0.000
y -0.142 4.306 0.000
z 0.000 0.000 3.420


<r2> (average value of r2) Å2
<r2> 70.693
(<r2>)1/2 8.408