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

using model chemistry: mPW1PW91/6-31+G**

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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-692.748046
Energy at 298.15K-692.747474
HF Energy-692.748046
Nuclear repulsion energy60.417239
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 mPW1PW91/6-31+G**
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 2223 2116 0.06      
2 Σ 276 263 61.66      
3 Π 94 89 11.13      
3 Π 94 89 11.13      

Unscaled Zero Point Vibrational Energy (zpe) 1343.2 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 1278.4 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 mPW1PW91/6-31+G**
B
0.09653

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.324
C2 0.000 0.000 -1.304
N3 0.000 0.000 -2.477

Atom - Atom Distances (Å)
  K1 C2 N3
K12.62843.8012
C22.62841.1728
N33.80121.1728

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 mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.991      
2 C -0.617      
3 N -0.374      


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 12.796 12.796
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.310 0.000 0.000
y 0.000 -23.310 0.000
z 0.000 0.000 -31.828
Traceless
 xyz
x 4.259 0.000 0.000
y 0.000 4.259 0.000
z 0.000 0.000 -8.518
Polar
3z2-r2-17.037
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 3.316 0.000 0.000
y 0.000 3.316 -0.000
z 0.000 -0.000 6.958


<r2> (average value of r2) Å2
<r2> 102.805
(<r2>)1/2 10.139

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-692.750857
Energy at 298.15K-692.750179
HF Energy-692.750857
Nuclear repulsion energy63.766884
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 mPW1PW91/6-31+G**
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 2162 2057 108.82      
2 Σ 311 296 74.03      
3 Π 54 51 3.72      
3 Π 53 51 3.71      

Unscaled Zero Point Vibrational Energy (zpe) 1289.9 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 1227.7 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 mPW1PW91/6-31+G**
B
0.11151

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

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 -2.429
N3 0.000 0.000 -1.248

Atom - Atom Distances (Å)
  K1 C2 N3
K13.65532.4741
C23.65531.1812
N32.47411.1812

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 mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.921      
2 C -0.298      
3 N -0.622      


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 12.596 12.596
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.251 0.000 0.000
y 0.000 -23.251 0.000
z 0.000 0.000 -33.577
Traceless
 xyz
x 5.163 0.000 0.000
y 0.000 5.163 0.000
z 0.000 0.000 -10.326
Polar
3z2-r2-20.652
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 3.343 0.000 -0.000
y 0.000 3.342 -0.000
z -0.000 -0.000 6.719


<r2> (average value of r2) Å2
<r2> 91.543
(<r2>)1/2 9.568

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-692.752749
Energy at 298.15K-692.752589
HF Energy-692.752749
Nuclear repulsion energy67.913419
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 mPW1PW91/6-31+G**
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' 2155 2051 29.06      
2 A' 296 281 65.45      
3 A' 150 143 7.49      

Unscaled Zero Point Vibrational Energy (zpe) 1300.2 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 1237.5 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 mPW1PW91/6-31+G**
ABC
1.92131 0.15924 0.14705

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.057 0.000
C2 0.628 -1.642 0.000
N3 -0.538 -1.462 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.77152.5766
C22.77151.1802
N32.57661.1802

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 68.147 K1 N3 C2 86.694
C2 K1 N3 25.159
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.904      
2 C -0.444      
3 N -0.461      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.351 10.681 0.000 10.686
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.606 0.923 0.000
y 0.923 -27.122 0.000
z 0.000 0.000 -23.300
Traceless
 xyz
x -2.395 0.923 0.000
y 0.923 -1.668 0.000
z 0.000 0.000 4.064
Polar
3z2-r28.127
x2-y2-0.485
xy0.923
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.050 -0.279 -0.000
y -0.279 4.776 0.000
z -0.000 0.000 3.601


<r2> (average value of r2) Å2
<r2> 73.030
(<r2>)1/2 8.546