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

using model chemistry: PBEPBEultrafine/6-311+G(3df,2p)

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 PBEPBEultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.484497
Energy at 298.15K-692.483879
HF Energy-692.484497
Nuclear repulsion energy61.116007
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 PBEPBEultrafine/6-311+G(3df,2p)
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 2121 2121 2.76      
2 Σ 277 277 66.51      
3 Π 80 80 7.24      
3 Π 80 80 7.24      

Unscaled Zero Point Vibrational Energy (zpe) 1278.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1278.8 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 PBEPBEultrafine/6-311+G(3df,2p)
B
0.09953

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311+G(3df,2p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.303
C2 0.000 0.000 -1.272
N3 0.000 0.000 -2.447

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57503.7498
C22.57501.1748
N33.74981.1748

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 PBEPBEultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.925      
2 C -0.300      
3 N -0.624      


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 11.913 11.913
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.434 0.000 0.000
y 0.000 -23.434 0.000
z 0.000 0.000 -31.539
Traceless
 xyz
x 4.052 0.000 0.000
y 0.000 4.052 0.000
z 0.000 0.000 -8.105
Polar
3z2-r2-16.210
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 4.248 0.000 0.000
y 0.000 4.248 0.000
z 0.000 0.000 8.637


<r2> (average value of r2) Å2
<r2> 100.196
(<r2>)1/2 10.010

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBEPBEultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.485478
Energy at 298.15K 
HF Energy-692.485478
Nuclear repulsion energy64.491123
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 PBEPBEultrafine/6-311+G(3df,2p)
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 2062 2062 115.05      
2 Σ 306 306 81.32      
3 Π 41i 41i 0.96      
3 Π 41i 41i 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 1143.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1143.7 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 PBEPBEultrafine/6-311+G(3df,2p)
B
0.11475

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311+G(3df,2p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.208
C2 0.000 0.000 -2.402
N3 0.000 0.000 -1.219

Atom - Atom Distances (Å)
  K1 C2 N3
K13.61042.4273
C23.61041.1830
N32.42731.1830

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 PBEPBEultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.916      
2 C -0.213      
3 N -0.703      


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 11.933 11.933
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.396 0.000 0.000
y 0.000 -23.396 0.000
z 0.000 0.000 -33.813
Traceless
 xyz
x 5.209 0.000 0.000
y 0.000 5.209 0.000
z 0.000 0.000 -10.417
Polar
3z2-r2-20.835
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 4.283 0.000 0.000
y 0.000 4.283 0.000
z 0.000 0.000 8.606


<r2> (average value of r2) Å2
<r2> 89.543
(<r2>)1/2 9.463

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBEPBEultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.489417
Energy at 298.15K-692.489264
HF Energy-692.489417
Nuclear repulsion energy68.736135
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 PBEPBEultrafine/6-311+G(3df,2p)
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' 2050 2050 20.05      
2 A' 296 296 71.65      
3 A' 153 153 7.15      

Unscaled Zero Point Vibrational Energy (zpe) 1249.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1249.2 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 PBEPBEultrafine/6-311+G(3df,2p)
ABC
1.90028 0.16545 0.15220

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.038 0.000
C2 0.631 -1.600 0.000
N3 -0.541 -1.445 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.71192.5407
C22.71191.1828
N32.54071.1828

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 69.008 K1 N3 C2 85.229
C2 K1 N3 25.763
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.858      
2 C -0.207      
3 N -0.652      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.469 9.813 0.000 9.824
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.656 0.977 0.000
y 0.977 -26.411 0.000
z 0.000 0.000 -23.444
Traceless
 xyz
x -2.729 0.977 0.000
y 0.977 -0.861 0.000
z 0.000 0.000 3.590
Polar
3z2-r27.179
x2-y2-1.245
xy0.977
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.471 -0.237 0.000
y -0.237 6.180 0.000
z 0.000 0.000 4.318


<r2> (average value of r2) Å2
<r2> 71.003
(<r2>)1/2 8.426