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

using model chemistry: PBE1PBE/TZVP

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/TZVP
 hartrees
Energy at 0K-692.520064
Energy at 298.15K-692.519475
HF Energy-692.520064
Nuclear repulsion energy60.091912
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/TZVP
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 2228 2138 0.00      
2 Σ 265 254 55.14      
3 Π 92 88 15.09      
3 Π 92 88 15.09      

Unscaled Zero Point Vibrational Energy (zpe) 1338.5 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 1284.4 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 PBE1PBE/TZVP
B
0.09474

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/TZVP

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.338
C2 0.000 0.000 -1.329
N3 0.000 0.000 -2.493

Atom - Atom Distances (Å)
  K1 C2 N3
K12.66723.8307
C22.66721.1635
N33.83071.1635

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.911      
2 C -0.635      
3 N -0.276      


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 13.236 13.236
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.172 0.000 0.000
y 0.000 -23.172 0.000
z 0.000 0.000 -30.562
Traceless
 xyz
x 3.695 0.000 0.000
y 0.000 3.695 0.000
z 0.000 0.000 -7.390
Polar
3z2-r2-14.781
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 2.784 0.000 0.000
y 0.000 2.784 0.000
z 0.000 0.000 6.134


<r2> (average value of r2) Å2
<r2> 104.123
(<r2>)1/2 10.204

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/TZVP
 hartrees
Energy at 0K-692.522299
Energy at 298.15K-692.521674
HF Energy-692.522299
Nuclear repulsion energy63.369048
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/TZVP
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 2175 2088 83.16      
2 Σ 303 291 65.17      
3 Π 69 67 4.37      
3 Π 69 67 4.37      

Unscaled Zero Point Vibrational Energy (zpe) 1308.5 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 1255.7 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 PBE1PBE/TZVP
B
0.10932

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/TZVP

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.240
C2 0.000 0.000 -2.443
N3 0.000 0.000 -1.272

Atom - Atom Distances (Å)
  K1 C2 N3
K13.68352.5123
C23.68351.1712
N32.51231.1712

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.921      
2 C -0.408      
3 N -0.513      


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 13.243 13.243
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.028 0.000 0.000
y 0.000 -23.028 0.000
z 0.000 0.000 -33.107
Traceless
 xyz
x 5.040 0.000 0.000
y 0.000 5.040 0.000
z 0.000 0.000 -10.080
Polar
3z2-r2-20.160
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 2.636 0.000 0.000
y 0.000 2.636 0.000
z 0.000 0.000 5.810


<r2> (average value of r2) Å2
<r2> 92.850
(<r2>)1/2 9.636

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/TZVP
 hartrees
Energy at 0K-692.523996
Energy at 298.15K-692.523809
HF Energy-692.523996
Nuclear repulsion energy67.203173
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/TZVP
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' 2164 2077 23.02      
2 A' 279 268 56.09      
3 A' 145 139 5.69      

Unscaled Zero Point Vibrational Energy (zpe) 1294.1 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 1241.9 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/TZVP
ABC
1.93919 0.15357 0.14230

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.077 0.000
C2 0.625 -1.656 0.000
N3 -0.536 -1.504 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.80382.6358
C22.80381.1707
N32.63581.1707

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 69.637 K1 N3 C2 85.757
C2 K1 N3 24.607
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.858      
2 C -0.441      
3 N -0.417      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.408 11.339 0.000 11.346
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.636 0.905 0.000
y 0.905 -26.636 0.000
z 0.000 0.000 -23.295
Traceless
 xyz
x -2.670 0.905 0.000
y 0.905 -1.171 0.000
z 0.000 0.000 3.841
Polar
3z2-r27.682
x2-y2-0.999
xy0.905
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.367 -0.232 0.000
y -0.232 3.835 0.000
z 0.000 0.000 2.912


<r2> (average value of r2) Å2
<r2> 74.828
(<r2>)1/2 8.650