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

using model chemistry: TPSSh/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 TPSSh/6-31+G**
 hartrees
Energy at 0K-692.763136
Energy at 298.15K-692.762554
HF Energy-692.763136
Nuclear repulsion energy60.229980
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 TPSSh/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 2169 2088 0.00      
2 Σ 273 263 59.70      
3 Π 92 89 11.43      
3 Π 92 89 11.43      

Unscaled Zero Point Vibrational Energy (zpe) 1313.2 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 1264.0 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 TPSSh/6-31+G**
B
0.09607

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.327
C2 0.000 0.000 -1.305
N3 0.000 0.000 -2.484

Atom - Atom Distances (Å)
  K1 C2 N3
K12.63223.8115
C22.63221.1793
N33.81151.1793

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 TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.981      
2 C -0.642      
3 N -0.339      


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 12.723 12.723
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.441 0.000 0.000
y 0.000 3.441 0.000
z 0.000 0.000 7.532


<r2> (average value of r2) Å2
<r2> 103.252
(<r2>)1/2 10.161

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-692.765535
Energy at 298.15K-692.764858
HF Energy-692.765535
Nuclear repulsion energy63.556505
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 TPSSh/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 2111 2032 100.69      
2 Σ 310 299 71.92      
3 Π 54 52 3.63      
3 Π 54 52 3.63      

Unscaled Zero Point Vibrational Energy (zpe) 1264.7 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 1217.3 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 TPSSh/6-31+G**
B
0.11089

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.230
C2 0.000 0.000 -2.437
N3 0.000 0.000 -1.249

Atom - Atom Distances (Å)
  K1 C2 N3
K13.66672.4791
C23.66671.1876
N32.47911.1876

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 TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.916      
2 C -0.330      
3 N -0.586      


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 12.572 12.572
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.458 -0.000 0.000
y -0.000 3.458 0.001
z 0.000 0.001 7.379


<r2> (average value of r2) Å2
<r2> 92.024
(<r2>)1/2 9.593

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-692.767371
Energy at 298.15K-692.767202
HF Energy-692.767371
Nuclear repulsion energy67.749769
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 TPSSh/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' 2101 2022 25.72      
2 A' 292 281 64.90      
3 A' 148 143 6.96      

Unscaled Zero Point Vibrational Energy (zpe) 1270.4 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 1222.8 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 TPSSh/6-31+G**
ABC
1.89343 0.15905 0.14672

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.058 0.000
C2 0.633 -1.637 0.000
N3 -0.542 -1.469 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.76852.5843
C22.76851.1869
N32.58431.1869

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 68.631 K1 N3 C2 86.047
C2 K1 N3 25.321
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.898      
2 C -0.469      
3 N -0.428      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.373 10.629 0.000 10.636
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.262 -0.288 0.000
y -0.288 5.075 0.000
z 0.000 0.000 3.729


<r2> (average value of r2) Å2
<r2> 73.197
(<r2>)1/2 8.556