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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-692.404808
Energy at 298.15K-692.404174
HF Energy-692.404808
Nuclear repulsion energy60.444308
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/6-31G*
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 2141 2106 2.53      
2 Σ 285 280 46.07      
3 Π 75 74 10.79      
3 Π 75 74 10.79      

Unscaled Zero Point Vibrational Energy (zpe) 1288.0 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 1266.8 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/6-31G*
B
0.09719

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.319
C2 0.000 0.000 -1.290
N3 0.000 0.000 -2.474

Atom - Atom Distances (Å)
  K1 C2 N3
K12.60893.7932
C22.60891.1843
N33.79321.1843

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.621      
2 C -0.217      
3 N -0.404      


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 11.551 11.551
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.449 0.000 0.000
y 0.000 -23.449 0.000
z 0.000 0.000 -29.880
Traceless
 xyz
x 3.215 0.000 0.000
y 0.000 3.215 0.000
z 0.000 0.000 -6.431
Polar
3z2-r2-12.861
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 4.001 0.000 0.000
y 0.000 4.001 0.000
z 0.000 0.000 8.816


<r2> (average value of r2) Å2
<r2> 101.874
(<r2>)1/2 10.093

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-692.403511
Energy at 298.15K 
HF Energy-692.403511
Nuclear repulsion energy63.807688
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/6-31G*
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 2083 2048 71.81      
2 Σ 318 313 50.27      
3 Π 76i 74i 2.04      
3 Π 76i 74i 2.04      

Unscaled Zero Point Vibrational Energy (zpe) 1125.0 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 1106.4 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 PBEPBEultrafine/6-31G*
B
0.11220

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.222
C2 0.000 0.000 -2.428
N3 0.000 0.000 -1.235

Atom - Atom Distances (Å)
  K1 C2 N3
K13.64982.4570
C23.64981.1927
N32.45701.1927

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.654      
2 C -0.129      
3 N -0.525      


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 11.540 11.540
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.584 0.000 0.000
y 0.000 -23.584 0.000
z 0.000 0.000 -32.116
Traceless
 xyz
x 4.266 0.000 0.000
y 0.000 4.266 0.000
z 0.000 0.000 -8.532
Polar
3z2-r2-17.064
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 4.178 0.000 0.000
y 0.000 4.178 0.000
z 0.000 0.000 9.483


<r2> (average value of r2) Å2
<r2> 90.920
(<r2>)1/2 9.535

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-692.411832
Energy at 298.15K-692.411740
HF Energy-692.411832
Nuclear repulsion energy68.185702
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/6-31G*
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' 2061 2027 15.15      
2 A' 302 297 58.41      
3 A' 191 188 1.73      

Unscaled Zero Point Vibrational Energy (zpe) 1277.5 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 1256.4 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 PBEPBEultrafine/6-31G*
ABC
1.84214 0.16347 0.15015

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.044 0.000
C2 0.641 -1.573 0.000
N3 -0.549 -1.487 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.69442.5901
C22.69441.1934
N32.59011.1934

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 72.112 K1 N3 C2 81.882
C2 K1 N3 26.007
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.586      
2 C -0.143      
3 N -0.443      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.473 9.654 0.000 9.666
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.631 0.551 0.000
y 0.551 -25.760 0.000
z 0.000 0.000 -23.748
Traceless
 xyz
x -2.878 0.551 0.000
y 0.551 -0.070 0.000
z 0.000 0.000 2.948
Polar
3z2-r25.896
x2-y2-1.872
xy0.551
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.102 -0.036 0.000
y -0.036 5.405 0.000
z 0.000 0.000 4.077


<r2> (average value of r2) Å2
<r2> 71.676
(<r2>)1/2 8.466