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

using model chemistry: B3LYP/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 B3LYP/6-31G
 hartrees
Energy at 0K-692.712705
Energy at 298.15K-692.712176
HF Energy-692.712705
Nuclear repulsion energy60.342797
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/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 2149 2068 0.25      
2 Σ 281 271 48.66      
3 Π 104 100 14.95      
3 Π 104 100 14.95      

Unscaled Zero Point Vibrational Energy (zpe) 1319.6 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1269.5 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/6-31G
B
0.09686

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.321
C2 0.000 0.000 -1.292
N3 0.000 0.000 -2.478

Atom - Atom Distances (Å)
  K1 C2 N3
K12.61333.7996
C22.61331.1863
N33.79961.1863

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/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.681      
2 C -0.271      
3 N -0.410      


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 12.545 12.545
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.497 0.000 0.000
y 0.000 -23.497 0.000
z 0.000 0.000 -30.090
Traceless
 xyz
x 3.296 0.000 0.000
y 0.000 3.296 0.000
z 0.000 0.000 -6.593
Polar
3z2-r2-13.185
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 3.152 0.000 0.000
y 0.000 3.152 0.000
z 0.000 0.000 6.666


<r2> (average value of r2) Å2
<r2> 102.229
(<r2>)1/2 10.111

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-692.713707
Energy at 298.15K-692.712989
HF Energy-692.713707
Nuclear repulsion energy63.570273
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/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 2093 2013 77.95      
2 Σ 316 304 53.95      
3 Π 42 40 5.69      
3 Π 42 40 5.69      

Unscaled Zero Point Vibrational Energy (zpe) 1245.9 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1198.5 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/6-31G
B
0.11126

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

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 -2.437
N3 0.000 0.000 -1.242

Atom - Atom Distances (Å)
  K1 C2 N3
K13.66402.4693
C23.66401.1947
N32.46931.1947

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/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.729      
2 C -0.131      
3 N -0.599      


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 12.420 12.420
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.504 0.000 0.000
y 0.000 -23.504 0.000
z 0.000 0.000 -31.766
Traceless
 xyz
x 4.131 0.000 0.000
y 0.000 4.131 0.000
z 0.000 0.000 -8.262
Polar
3z2-r2-16.523
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 3.032 0.000 0.000
y 0.000 3.032 0.000
z 0.000 0.000 6.673


<r2> (average value of r2) Å2
<r2> 91.442
(<r2>)1/2 9.563

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-692.714916
Energy at 298.15K-692.714701
HF Energy-692.714916
Nuclear repulsion energy66.926461
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/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' 2063 1984 22.57      
2 A' 293 282 46.76      
3 A' 119 115 5.92      

Unscaled Zero Point Vibrational Energy (zpe) 1237.4 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1190.4 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/6-31G
ABC
1.89733 0.15396 0.14241

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.075 0.000
C2 0.632 -1.692 0.000
N3 -0.542 -1.467 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.83782.5988
C22.83781.1958
N32.59881.1958

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 66.286 K1 N3 C2 88.799
C2 K1 N3 24.916
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.654      
2 C -0.159      
3 N -0.496      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.265 10.929 0.000 10.932
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.198 0.805 0.000
y 0.805 -26.176 0.000
z 0.000 0.000 -23.840
Traceless
 xyz
x -3.190 0.805 0.000
y 0.805 -0.157 0.000
z 0.000 0.000 3.347
Polar
3z2-r26.694
x2-y2-2.021
xy0.805
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.438 -0.098 0.000
y -0.098 4.033 0.000
z 0.000 0.000 3.245


<r2> (average value of r2) Å2
<r2> 74.920
(<r2>)1/2 8.656