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

using model chemistry: HSEh1PBE/6-31G(2df,p)

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 HSEh1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-692.486789
Energy at 298.15K-692.486032
HF Energy-692.486789
Nuclear repulsion energy61.312371
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 HSEh1PBE/6-31G(2df,p)
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 2134 2.23      
2 Σ 293 281 57.77      
3 Π 38 37 9.18      
3 Π 38 37 9.18      

Unscaled Zero Point Vibrational Energy (zpe) 1298.9 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 1244.0 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 HSEh1PBE/6-31G(2df,p)
B
0.09999

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.300
C2 0.000 0.000 -1.272
N3 0.000 0.000 -2.439

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57243.7396
C22.57241.1672
N33.73961.1672

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 HSEh1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.646      
2 C -0.417      
3 N -0.229      


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 11.779 11.779
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.902 0.000 0.000
y 0.000 -22.902 0.000
z 0.000 0.000 -29.827
Traceless
 xyz
x 3.463 0.000 0.000
y 0.000 3.463 0.000
z 0.000 0.000 -6.926
Polar
3z2-r2-13.851
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 3.475 0.000 -0.001
y 0.000 3.474 -0.000
z -0.001 -0.000 6.589


<r2> (average value of r2) Å2
<r2> 99.233
(<r2>)1/2 9.962

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at HSEh1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-692.489698
Energy at 298.15K 
HF Energy-692.489698
Nuclear repulsion energy64.905319
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 HSEh1PBE/6-31G(2df,p)
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 2159 2067 117.42      
2 Σ 331 317 71.71      
3 Π 88i 84i 1.21      
3 Π 88i 84i 1.21      

Unscaled Zero Point Vibrational Energy (zpe) 1157.3 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 1108.3 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 HSEh1PBE/6-31G(2df,p)
B
0.11627

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.200
C2 0.000 0.000 -2.387
N3 0.000 0.000 -1.211

Atom - Atom Distances (Å)
  K1 C2 N3
K13.58712.4105
C23.58711.1766
N32.41051.1766

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 HSEh1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.682      
2 C -0.354      
3 N -0.328      


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 11.633 11.633
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.906 0.000 0.000
y 0.000 -22.906 0.000
z 0.000 0.000 -31.983
Traceless
 xyz
x 4.538 0.000 0.000
y 0.000 4.538 0.000
z 0.000 0.000 -9.076
Polar
3z2-r2-18.153
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 3.446 0.001 0.000
y 0.001 3.445 -0.000
z 0.000 -0.000 6.348


<r2> (average value of r2) Å2
<r2> 88.001
(<r2>)1/2 9.381

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at HSEh1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-692.496364
Energy at 298.15K-692.496275
HF Energy-692.496364
Nuclear repulsion energy69.156026
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 HSEh1PBE/6-31G(2df,p)
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' 2146 2055 24.25      
2 A' 316 302 64.08      
3 A' 179 172 4.64      

Unscaled Zero Point Vibrational Energy (zpe) 1320.1 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 1264.3 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 HSEh1PBE/6-31G(2df,p)
ABC
1.91168 0.16780 0.15426

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.030 0.000
C2 0.629 -1.580 0.000
N3 -0.540 -1.443 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.68482.5316
C22.68481.1769
N32.53161.1769

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 69.778 K1 N3 C2 84.359
C2 K1 N3 25.863
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.608      
2 C -0.309      
3 N -0.299      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.454 9.636 0.000 9.647
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.119 0.804 0.000
y 0.804 -25.382 0.000
z 0.000 0.000 -23.165
Traceless
 xyz
x -2.846 0.804 0.000
y 0.804 -0.240 0.000
z 0.000 0.000 3.086
Polar
3z2-r26.172
x2-y2-1.737
xy0.804
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.502 -0.136 -0.000
y -0.136 4.662 -0.000
z -0.000 -0.000 3.545


<r2> (average value of r2) Å2
<r2> 69.887
(<r2>)1/2 8.360