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

using model chemistry: wB97X-D/6-311G*

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/6-311G*
 hartrees
Energy at 0K-692.770340
Energy at 298.15K-692.769696
HF Energy-692.770340
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/6-311G*
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 2242 2242 1.30      
2 Σ 295 295 67.76      
3 Π 68 68 10.90      
3 Π 68 68 10.90      

Unscaled Zero Point Vibrational Energy (zpe) 1336.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1336.2 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 wB97X-D/6-311G*
B
0.09910

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.307
C2 0.000 0.000 -1.284
N3 0.000 0.000 -2.447

Atom - Atom Distances (Å)
  K1 C2 N3
K12.59053.7533
C22.59051.1628
N33.75331.1628

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/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.769      
2 C -0.453      
3 N -0.316      


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 12.212 12.212
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.844 0.000 0.000
y 0.000 -22.844 0.000
z 0.000 0.000 -30.484
Traceless
 xyz
x 3.820 0.000 0.000
y 0.000 3.820 0.000
z 0.000 0.000 -7.640
Polar
3z2-r2-15.279
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 2.995 0.000 0.000
y 0.000 2.995 0.000
z 0.000 0.000 5.823


<r2> (average value of r2) Å2
<r2> 100.092
(<r2>)1/2 10.005

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at wB97X-D/6-311G*
 hartrees
Energy at 0K-692.773688
Energy at 298.15K 
HF Energy-692.773688
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/6-311G*
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 2174 2174 120.39      
2 Σ 327 327 83.10      
3 Π 64i 64i 2.20      
3 Π 64i 64i 2.20      

Unscaled Zero Point Vibrational Energy (zpe) 1186.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1186.0 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/6-311G*
B
0.11477

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.209
C2 0.000 0.000 -2.397
N3 0.000 0.000 -1.225

Atom - Atom Distances (Å)
  K1 C2 N3
K13.60602.4338
C23.60601.1721
N32.43381.1721

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/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.779      
2 C -0.237      
3 N -0.543      


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 12.106 12.106
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.734 0.000 0.000
y 0.000 -22.734 0.000
z 0.000 0.000 -32.792
Traceless
 xyz
x 5.029 0.000 0.000
y 0.000 5.029 0.000
z 0.000 0.000 -10.058
Polar
3z2-r2-20.116
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 2.952 0.000 0.000
y 0.000 2.952 0.000
z 0.000 0.000 5.738


<r2> (average value of r2) Å2
<r2> 89.039
(<r2>)1/2 9.436

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at wB97X-D/6-311G*
 hartrees
Energy at 0K-692.777344
Energy at 298.15K-692.777145
HF Energy-692.777344
Nuclear repulsion energy68.592978
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/6-311G*
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' 2160 2160 28.15      
2 A' 288 288 68.56      
3 A' 132 132 5.72      

Unscaled Zero Point Vibrational Energy (zpe) 1289.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1289.9 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/6-311G*
ABC
1.98073 0.16227 0.14998

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.047 0.000
C2 0.619 -1.652 0.000
N3 -0.531 -1.425 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.76922.5276
C22.76921.1720
N32.52761.1720

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 65.874 K1 N3 C2 89.091
C2 K1 N3 25.035
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.721      
2 C -0.279      
3 N -0.442      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.410 10.253 0.000 10.262
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.078 1.159 0.000
y 1.159 -26.448 0.000
z 0.000 0.000 -22.975
Traceless
 xyz
x -2.366 1.159 0.000
y 1.159 -1.421 0.000
z 0.000 0.000 3.787
Polar
3z2-r27.575
x2-y2-0.630
xy1.159
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.282 -0.264 0.000
y -0.264 4.259 0.000
z 0.000 0.000 3.131


<r2> (average value of r2) Å2
<r2> 71.603
(<r2>)1/2 8.462