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

using model chemistry: HSEh1PBE/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-692.491907
Energy at 298.15K-692.491342
HF Energy-692.491907
Nuclear repulsion energy60.434444
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/6-31+G**
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 2221 2120 0.05      
2 Σ 280 267 61.06      
3 Π 94 90 11.16      
3 Π 94 90 11.16      

Unscaled Zero Point Vibrational Energy (zpe) 1344.4 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 1283.7 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 HSEh1PBE/6-31+G**
B
0.09663

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.324
C2 0.000 0.000 -1.303
N3 0.000 0.000 -2.476

Atom - Atom Distances (Å)
  K1 C2 N3
K12.62623.7996
C22.62621.1734
N33.79961.1734

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.994      
2 C -0.614      
3 N -0.380      


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 12.758 12.758
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.374 0.000 0.000
y 0.000 -23.374 0.000
z 0.000 0.000 -31.840
Traceless
 xyz
x 4.233 0.000 0.000
y 0.000 4.233 0.000
z 0.000 0.000 -8.466
Polar
3z2-r2-16.932
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 3.362 0.000 0.000
y 0.000 3.362 0.000
z 0.000 0.000 7.043


<r2> (average value of r2) Å2
<r2> 102.744
(<r2>)1/2 10.136

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-692.494737
Energy at 298.15K-692.494067
HF Energy-692.494737
Nuclear repulsion energy63.788821
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/6-31+G**
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 2062 109.31      
2 Σ 314 300 73.41      
3 Π 55 52 3.74      
3 Π 54 52 3.72      

Unscaled Zero Point Vibrational Energy (zpe) 1291.0 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 1232.7 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 HSEh1PBE/6-31+G**
B
0.11163

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.226
C2 0.000 0.000 -2.428
N3 0.000 0.000 -1.246

Atom - Atom Distances (Å)
  K1 C2 N3
K13.65372.4719
C23.65371.1818
N32.47191.1818

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.923      
2 C -0.279      
3 N -0.644      


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 12.565 12.565
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.317 0.000 0.000
y 0.000 -23.317 0.000
z 0.000 0.000 -33.598
Traceless
 xyz
x 5.140 0.000 0.000
y 0.000 5.140 0.000
z 0.000 0.000 -10.280
Polar
3z2-r2-20.561
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 3.384 -0.000 -0.000
y -0.000 3.386 -0.000
z -0.000 -0.000 6.807


<r2> (average value of r2) Å2
<r2> 91.492
(<r2>)1/2 9.565

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-692.496764
Energy at 298.15K-692.496611
HF Energy-692.496764
Nuclear repulsion energy67.975652
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/6-31+G**
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' 2152 2054 28.88      
2 A' 297 284 65.33      
3 A' 154 147 7.27      

Unscaled Zero Point Vibrational Energy (zpe) 1301.3 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 1242.5 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/6-31+G**
ABC
1.91613 0.15980 0.14750

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.056 0.000
C2 0.629 -1.637 0.000
N3 -0.539 -1.462 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.76462.5749
C22.76461.1809
N32.57491.1809

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 68.364 K1 N3 C2 86.401
C2 K1 N3 25.234
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.907      
2 C -0.438      
3 N -0.469      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.358 10.632 0.000 10.638
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.676 0.904 0.000
y 0.904 -27.115 0.000
z 0.000 0.000 -23.366
Traceless
 xyz
x -2.435 0.904 0.000
y 0.904 -1.594 0.000
z 0.000 0.000 4.029
Polar
3z2-r28.058
x2-y2-0.560
xy0.904
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.120 -0.274 -0.000
y -0.274 4.842 0.000
z -0.000 0.000 3.654


<r2> (average value of r2) Å2
<r2> 72.885
(<r2>)1/2 8.537