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

using model chemistry: PBE1PBE/6-31G*

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 PBE1PBE/6-31G*
 hartrees
Energy at 0K-692.452944
Energy at 298.15K-692.452303
HF Energy-692.452944
Nuclear repulsion energy60.818992
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 PBE1PBE/6-31G*
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 2245 2134 0.52      
2 Σ 292 277 54.50      
3 Π 70 67 10.34      
3 Π 70 67 10.35      

Unscaled Zero Point Vibrational Energy (zpe) 1338.8 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 1272.2 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 PBE1PBE/6-31G*
B
0.09814

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.313
C2 0.000 0.000 -1.288
N3 0.000 0.000 -2.460

Atom - Atom Distances (Å)
  K1 C2 N3
K12.60103.7726
C22.60101.1716
N33.77261.1716

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 PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.682      
2 C -0.246      
3 N -0.436      


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 12.058 12.058
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.963 0.000 0.000
y 0.000 -22.963 0.000
z 0.000 0.000 -30.136
Traceless
 xyz
x 3.586 0.000 0.000
y 0.000 3.586 0.000
z 0.000 0.000 -7.172
Polar
3z2-r2-14.345
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 3.216 0.000 0.000
y 0.000 3.216 0.000
z 0.000 0.000 6.576


<r2> (average value of r2) Å2
<r2> 100.893
(<r2>)1/2 10.045

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-692.453179
Energy at 298.15K 
HF Energy-692.453179
Nuclear repulsion energy64.213068
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 PBE1PBE/6-31G*
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 2180 2072 94.97      
2 Σ 328 311 65.67      
3 Π 80i 76i 2.51      
3 Π 80i 76i 2.51      

Unscaled Zero Point Vibrational Energy (zpe) 1173.6 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 1115.3 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 PBE1PBE/6-31G*
B
0.11342

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.216
C2 0.000 0.000 -2.412
N3 0.000 0.000 -1.232

Atom - Atom Distances (Å)
  K1 C2 N3
K13.62792.4472
C23.62791.1806
N32.44721.1806

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 PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.722      
2 C -0.134      
3 N -0.588      


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 11.921 11.921
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.975 0.000 0.000
y 0.000 -22.975 0.000
z 0.000 0.000 -32.068
Traceless
 xyz
x 4.546 0.000 0.000
y 0.000 4.546 0.000
z 0.000 0.000 -9.093
Polar
3z2-r2-18.186
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 3.201 0.000 0.000
y 0.000 3.201 0.000
z 0.000 0.000 6.433


<r2> (average value of r2) Å2
<r2> 89.852
(<r2>)1/2 9.479

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-692.460499
Energy at 298.15K-692.460407
HF Energy-692.460499
Nuclear repulsion energy68.561859
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 PBE1PBE/6-31G*
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' 2163 2055 20.99      
2 A' 310 295 62.76      
3 A' 186 176 2.85      

Unscaled Zero Point Vibrational Energy (zpe) 1329.2 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 1263.2 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 PBE1PBE/6-31G*
ABC
1.88984 0.16434 0.15119

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.041 0.000
C2 0.633 -1.583 0.000
N3 -0.542 -1.470 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.69932.5696
C22.69931.1808
N32.56961.1808

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 70.980 K1 N3 C2 83.271
C2 K1 N3 25.748
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.648      
2 C -0.157      
3 N -0.491      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.400 9.957 0.000 9.965
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.231 0.593 0.000
y 0.593 -25.800 0.000
z 0.000 0.000 -23.226
Traceless
 xyz
x -2.718 0.593 0.000
y 0.593 -0.572 0.000
z 0.000 0.000 3.289
Polar
3z2-r26.579
x2-y2-1.431
xy0.593
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.454 -0.073 0.000
y -0.073 4.410 0.000
z 0.000 0.000 3.338


<r2> (average value of r2) Å2
<r2> 71.106
(<r2>)1/2 8.432