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

using model chemistry: B3PW91/6-31G(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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-692.657312
Energy at 298.15K-692.656553
HF Energy-692.657312
Nuclear repulsion energy61.207201
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 B3PW91/6-31G(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 2210 2125 2.28      
2 Σ 289 278 58.32      
3 Π 39 38 9.29      
3 Π 39 38 9.29      

Unscaled Zero Point Vibrational Energy (zpe) 1288.5 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 1238.8 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 B3PW91/6-31G(2df,p)
B
0.09963

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.303
C2 0.000 0.000 -1.275
N3 0.000 0.000 -2.444

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57733.7462
C22.57731.1689
N33.74621.1689

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 B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.653      
2 C -0.422      
3 N -0.231      


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 11.838 11.838
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.850 0.000 0.000
y 0.000 -22.850 0.000
z 0.000 0.000 -29.836
Traceless
 xyz
x 3.493 0.000 0.000
y 0.000 3.493 0.000
z 0.000 0.000 -6.986
Polar
3z2-r2-13.971
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 3.467 0.000 -0.001
y 0.000 3.467 -0.001
z -0.001 -0.001 6.508


<r2> (average value of r2) Å2
<r2> 99.513
(<r2>)1/2 9.976

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-692.660065
Energy at 298.15K 
HF Energy-692.660065
Nuclear repulsion energy64.785568
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 B3PW91/6-31G(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 2143 2061 113.22      
2 Σ 328 315 72.42      
3 Π 86i 83i 1.20      
3 Π 86i 83i 1.20      

Unscaled Zero Point Vibrational Energy (zpe) 1149.3 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 1104.9 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 B3PW91/6-31G(2df,p)
B
0.11581

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.202
C2 0.000 0.000 -2.392
N3 0.000 0.000 -1.214

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59392.4159
C23.59391.1780
N32.41591.1780

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 B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.687      
2 C -0.357      
3 N -0.330      


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 11.705 11.705
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.853 0.000 0.000
y 0.000 -22.853 0.000
z 0.000 0.000 -32.069
Traceless
 xyz
x 4.608 0.000 0.000
y 0.000 4.608 0.000
z 0.000 0.000 -9.216
Polar
3z2-r2-18.433
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 3.432 0.000 0.000
y 0.000 3.432 0.000
z 0.000 0.000 6.282


<r2> (average value of r2) Å2
<r2> 88.284
(<r2>)1/2 9.396

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-692.666291
Energy at 298.15K-692.666184
HF Energy-692.666291
Nuclear repulsion energy68.960715
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 B3PW91/6-31G(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' 2129 2047 23.20      
2 A' 308 297 64.55      
3 A' 173 167 4.69      

Unscaled Zero Point Vibrational Energy (zpe) 1305.2 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 1254.8 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 B3PW91/6-31G(2df,p)
ABC
1.90745 0.16662 0.15323

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.034 0.000
C2 0.630 -1.586 0.000
N3 -0.540 -1.447 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.69512.5392
C22.69511.1785
N32.53921.1785

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 69.690 K1 N3 C2 84.507
C2 K1 N3 25.803
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.616      
2 C -0.316      
3 N -0.299      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.460 9.716 0.000 9.727
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.087 0.838 0.000
y 0.838 -25.416 0.000
z 0.000 0.000 -23.107
Traceless
 xyz
x -2.825 0.838 0.000
y 0.838 -0.320 0.000
z 0.000 0.000 3.145
Polar
3z2-r26.290
x2-y2-1.670
xy0.838
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.500 -0.137 0.000
y -0.137 4.633 0.000
z 0.000 0.000 3.542


<r2> (average value of r2) Å2
<r2> 70.237
(<r2>)1/2 8.381