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

using model chemistry: B3LYP/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 B3LYP/3-21G*
 hartrees
Energy at 0K-689.251864
Energy at 298.15K-689.251074
HF Energy-689.251864
Nuclear repulsion energy60.851920
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 B3LYP/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 2169 2087 5.74      
2 Σ 275 264 47.88      
3 Π 36 35 17.18      
3 Π 36 35 17.18      

Unscaled Zero Point Vibrational Energy (zpe) 1258.0 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1210.2 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 B3LYP/3-21G*
B
0.09858

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.309
C2 0.000 0.000 -1.280
N3 0.000 0.000 -2.458

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58913.7670
C22.58911.1779
N33.76701.1779

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 B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.550      
2 C -0.096      
3 N -0.454      


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 11.862 11.862
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.782 0.000 0.000
y 0.000 -23.782 0.000
z 0.000 0.000 -29.154
Traceless
 xyz
x 2.686 0.000 0.000
y 0.000 2.686 0.000
z 0.000 0.000 -5.372
Polar
3z2-r2-10.744
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 3.509 0.000 0.000
y 0.000 3.509 0.000
z 0.000 0.000 6.585


<r2> (average value of r2) Å2
<r2> 100.653
(<r2>)1/2 10.033

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-689.259199
Energy at 298.15K 
HF Energy-689.259199
Nuclear repulsion energy64.459647
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 B3LYP/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 2092 2013 85.63      
2 Σ 321 309 54.79      
3 Π 72i 70i 3.18      
3 Π 72i 70i 3.18      

Unscaled Zero Point Vibrational Energy (zpe) 1134.5 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1091.4 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 B3LYP/3-21G*
B
0.11486

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.207
C2 0.000 0.000 -2.404
N3 0.000 0.000 -1.215

Atom - Atom Distances (Å)
  K1 C2 N3
K13.61092.4222
C23.61091.1887
N32.42221.1887

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 B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.526      
2 C 0.007      
3 N -0.533      


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 11.823 11.823
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.794 0.000 0.000
y 0.000 -23.794 0.000
z 0.000 0.000 -31.566
Traceless
 xyz
x 3.886 0.000 0.000
y 0.000 3.886 0.000
z 0.000 0.000 -7.773
Polar
3z2-r2-15.545
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 3.346 0.000 0.000
y 0.000 3.346 0.000
z 0.000 0.000 6.208


<r2> (average value of r2) Å2
<r2> 89.171
(<r2>)1/2 9.443

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-689.263171
Energy at 298.15K-689.263004
HF Energy-689.263171
Nuclear repulsion energy67.995195
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 B3LYP/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' 2064 1985 21.65      
2 A' 326 314 42.47      
3 A' 126 121 8.65      

Unscaled Zero Point Vibrational Energy (zpe) 1257.5 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1209.7 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 B3LYP/3-21G*
ABC
1.97912 0.15932 0.14745

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.055 0.000
C2 0.620 -1.703 0.000
N3 -0.531 -1.404 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.82732.5154
C22.82731.1899
N32.51541.1899

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 62.733 K1 N3 C2 92.401
C2 K1 N3 24.866
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.468      
2 C -0.002      
3 N -0.466      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.339 10.186 0.000 10.192
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.153 1.307 0.000
y 1.307 -25.847 0.000
z 0.000 0.000 -24.019
Traceless
 xyz
x -3.220 1.307 0.000
y 1.307 0.239 0.000
z 0.000 0.000 2.981
Polar
3z2-r25.962
x2-y2-2.306
xy1.307
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.385 -0.264 0.000
y -0.264 4.204 0.000
z 0.000 0.000 3.345


<r2> (average value of r2) Å2
<r2> 72.876
(<r2>)1/2 8.537