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

using model chemistry: PBE1PBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-685.156253
Energy at 298.15K-685.155954
HF Energy-685.156253
Nuclear repulsion energy61.303450
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/STO-3G
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 2315 2042 43.50      
2 Σ 366 323 32.51      
3 Π 172 152 8.42      
3 Π 172 152 8.42      

Unscaled Zero Point Vibrational Energy (zpe) 1512.3 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 1334.0 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 PBE1PBE/STO-3G
B
0.10121

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.290
C2 0.000 0.000 -1.243
N3 0.000 0.000 -2.437

Atom - Atom Distances (Å)
  K1 C2 N3
K12.53313.7276
C22.53311.1944
N33.72761.1944

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.479      
2 C -0.159      
3 N -0.320      


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 9.911 9.911
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.333 0.000 0.000
y 0.000 -21.333 0.000
z 0.000 0.000 -26.226
Traceless
 xyz
x 2.446 0.000 0.000
y 0.000 2.446 0.000
z 0.000 0.000 -4.893
Polar
3z2-r2-9.786
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 1.663 0.000 0.000
y 0.000 1.663 0.000
z 0.000 0.000 7.220


<r2> (average value of r2) Å2
<r2> 96.825
(<r2>)1/2 9.840

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-685.142458
Energy at 298.15K-685.141812
HF Energy-685.142458
Nuclear repulsion energy64.080902
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/STO-3G
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 2239 1975 107.75      
2 Σ 375 331 27.03      
3 Π 60 53 5.17      
3 Π 60 53 5.17      

Unscaled Zero Point Vibrational Energy (zpe) 1366.3 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 1205.2 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/STO-3G
B
0.11381

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.212
C2 0.000 0.000 -2.419
N3 0.000 0.000 -1.216

Atom - Atom Distances (Å)
  K1 C2 N3
K13.63082.4280
C23.63081.2027
N32.42801.2027

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.555      
2 C -0.165      
3 N -0.390      


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 10.038 10.038
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.049 0.000 0.000
y 0.000 -21.049 0.000
z 0.000 0.000 -27.901
Traceless
 xyz
x 3.426 0.000 0.000
y 0.000 3.426 0.000
z 0.000 0.000 -6.852
Polar
3z2-r2-13.704
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 1.542 0.000 0.000
y 0.000 1.542 0.000
z 0.000 0.000 9.906


<r2> (average value of r2) Å2
<r2> 87.937
(<r2>)1/2 9.377

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-685.156687
Energy at 298.15K-685.156739
HF Energy-685.156687
Nuclear repulsion energy69.862519
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/STO-3G
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' 2136 1884 38.15      
2 A' 402 355 43.62      
3 A' 267 236 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 1402.6 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 1237.2 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/STO-3G
ABC
1.77874 0.17796 0.16177

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.001 0.000
C2 0.652 -1.456 0.000
N3 -0.559 -1.470 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.54222.5334
C22.54221.2111
N32.53341.2111

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 75.791 K1 N3 C2 76.600
C2 K1 N3 27.609
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.518      
2 C -0.169      
3 N -0.348      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.360 8.123 0.000 8.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.031 0.040 0.000
y 0.040 -22.016 0.000
z 0.000 0.000 -21.261
Traceless
 xyz
x -3.393 0.040 0.000
y 0.040 1.130 0.000
z 0.000 0.000 2.262
Polar
3z2-r24.525
x2-y2-3.016
xy0.040
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.103 -0.178 0.000
y -0.178 4.430 0.000
z 0.000 0.000 1.511


<r2> (average value of r2) Å2
<r2> 65.845
(<r2>)1/2 8.114