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

using model chemistry: B3LYP/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 B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-692.756073
Energy at 298.15K-692.755283
HF Energy-692.756073
Nuclear repulsion energy61.162659
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(2df,p)
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 2204 2127 3.20      
2 Σ 288 278 56.21      
3 Π 31 30 8.83      
3 Π 31 30 8.84      

Unscaled Zero Point Vibrational Energy (zpe) 1277.4 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1232.7 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/6-31G(2df,p)
B
0.09942

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.304
C2 0.000 0.000 -1.277
N3 0.000 0.000 -2.445

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58133.7497
C22.58131.1684
N33.74971.1684

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.621      
2 C -0.413      
3 N -0.208      


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 11.704 11.704
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.064 0.000 0.000
y 0.000 -23.064 0.000
z 0.000 0.000 -29.958
Traceless
 xyz
x 3.447 0.000 0.000
y 0.000 3.447 0.000
z 0.000 0.000 -6.894
Polar
3z2-r2-13.788
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 3.640 -0.001 0.001
y -0.001 3.640 0.001
z 0.001 0.001 7.007


<r2> (average value of r2) Å2
<r2> 99.806
(<r2>)1/2 9.990

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-692.759640
Energy at 298.15K 
HF Energy-692.759640
Nuclear repulsion energy64.753985
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(2df,p)
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 2136 2062 117.57      
2 Σ 330 318 68.73      
3 Π 87i 84i 1.13      
3 Π 87i 84i 1.13      

Unscaled Zero Point Vibrational Energy (zpe) 1146.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1106.1 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 B3LYP/6-31G(2df,p)
B
0.11566

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.203
C2 0.000 0.000 -2.393
N3 0.000 0.000 -1.215

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59582.4181
C23.59581.1777
N32.41811.1777

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.654      
2 C -0.358      
3 N -0.296      


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 11.557 11.557
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.087 0.000 0.000
y 0.000 -23.087 0.000
z 0.000 0.000 -32.075
Traceless
 xyz
x 4.494 0.000 0.000
y 0.000 4.494 0.000
z 0.000 0.000 -8.988
Polar
3z2-r2-17.975
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 3.607 0.000 0.000
y 0.000 3.607 0.000
z 0.000 0.000 6.714


<r2> (average value of r2) Å2
<r2> 88.476
(<r2>)1/2 9.406

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-692.765743
Energy at 298.15K-692.765637
HF Energy-692.765743
Nuclear repulsion energy68.803351
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(2df,p)
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' 2121 2047 25.29      
2 A' 309 298 61.66      
3 A' 174 168 5.34      

Unscaled Zero Point Vibrational Energy (zpe) 1301.8 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1256.3 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 B3LYP/6-31G(2df,p)
ABC
1.91538 0.16534 0.15220

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.038 0.000
C2 0.629 -1.600 0.000
N3 -0.539 -1.445 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.71222.5410
C22.71221.1783
N32.54101.1783

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 69.025 K1 N3 C2 85.319
C2 K1 N3 25.657
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.581      
2 C -0.305      
3 N -0.276      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.445 9.637 0.000 9.647
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.308 0.862 0.000
y 0.862 -25.546 0.000
z 0.000 0.000 -23.348
Traceless
 xyz
x -2.861 0.862 0.000
y 0.862 -0.218 0.000
z 0.000 0.000 3.078
Polar
3z2-r26.157
x2-y2-1.762
xy0.862
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.613 -0.152 0.000
y -0.152 4.921 0.000
z 0.000 0.000 3.697


<r2> (average value of r2) Å2
<r2> 70.729
(<r2>)1/2 8.410