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

using model chemistry: B97D3/6-31+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 B97D3/6-31+G**
 hartrees
Energy at 0K-692.756621
Energy at 298.15K-692.756005
HF Energy-692.756621
Nuclear repulsion energy59.806753
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 B97D3/6-31+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 2121 2084 0.03      
2 Σ 267 262 57.24      
3 Π 85 84 11.26      
3 Π 85 84 11.26      

Unscaled Zero Point Vibrational Energy (zpe) 1278.8 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 1256.8 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 B97D3/6-31+G**
B
0.09457

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

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 -1.318
N3 0.000 0.000 -2.502

Atom - Atom Distances (Å)
  K1 C2 N3
K12.65603.8403
C22.65601.1843
N33.84031.1843

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 B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.983      
2 C -0.658      
3 N -0.325      


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 12.710 12.710
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.581 0.000 0.000
y 0.000 -23.581 0.000
z 0.000 0.000 -31.992
Traceless
 xyz
x 4.205 0.000 0.000
y 0.000 4.205 0.000
z 0.000 0.000 -8.411
Polar
3z2-r2-16.822
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 3.747 0.000 0.000
y 0.000 3.747 0.000
z 0.000 0.000 8.782


<r2> (average value of r2) Å2
<r2> 104.748
(<r2>)1/2 10.235

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B97D3/6-31+G**
 hartrees
Energy at 0K-692.759001
Energy at 298.15K-692.758299
HF Energy-692.759001
Nuclear repulsion energy63.066699
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 B97D3/6-31+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 2065 2029 89.64      
2 Σ 293 288 67.53      
3 Π 53 52 3.50      
3 Π 53 52 3.50      

Unscaled Zero Point Vibrational Energy (zpe) 1231.9 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 1210.7 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 B97D3/6-31+G**
B
0.10899

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.241
C2 0.000 0.000 -2.456
N3 0.000 0.000 -1.263

Atom - Atom Distances (Å)
  K1 C2 N3
K13.69642.5042
C23.69641.1923
N32.50421.1923

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 B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.904      
2 C -0.322      
3 N -0.582      


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 12.617 12.617
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.512 0.000 0.000
y 0.000 -23.512 0.000
z 0.000 0.000 -33.935
Traceless
 xyz
x 5.212 0.000 0.000
y 0.000 5.212 0.000
z 0.000 0.000 -10.424
Polar
3z2-r2-20.847
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 3.744 0.000 0.001
y 0.000 3.744 -0.000
z 0.001 -0.000 8.883


<r2> (average value of r2) Å2
<r2> 93.461
(<r2>)1/2 9.668

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B97D3/6-31+G**
 hartrees
Energy at 0K-692.760664
Energy at 298.15K-692.760470
HF Energy-692.760664
Nuclear repulsion energy67.093637
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 B97D3/6-31+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' 2053 2018 23.74      
2 A' 275 271 63.58      
3 A' 145 143 6.27      

Unscaled Zero Point Vibrational Energy (zpe) 1236.8 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 1215.5 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 B97D3/6-31+G**
ABC
1.88317 0.15510 0.14330

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.071 0.000
C2 0.634 -1.662 0.000
N3 -0.544 -1.483 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.80642.6117
C22.80641.1917
N32.61171.1917

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 68.284 K1 N3 C2 86.634
C2 K1 N3 25.083
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.894      
2 C -0.484      
3 N -0.410      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.381 10.719 0.000 10.726
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.910 0.962 0.000
y 0.962 -27.348 0.000
z 0.000 0.000 -23.559
Traceless
 xyz
x -2.457 0.962 0.000
y 0.962 -1.613 0.000
z 0.000 0.000 4.070
Polar
3z2-r28.140
x2-y2-0.562
xy0.962
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.603 -0.337 -0.001
y -0.337 5.752 -0.000
z -0.001 -0.000 4.032


<r2> (average value of r2) Å2
<r2> 74.681
(<r2>)1/2 8.642