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

using model chemistry: mPW1PW91/STO-3G

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 mPW1PW91/STO-3G
 hartrees
Energy at 0K-685.428326
Energy at 298.15K-685.428023
HF Energy-685.428326
Nuclear repulsion energy61.275010
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 mPW1PW91/STO-3G
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 2311 2031 42.39      
2 Σ 365 321 33.39      
3 Π 171 150 8.54      
3 Π 171 150 8.54      

Unscaled Zero Point Vibrational Energy (zpe) 1508.9 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 1326.2 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 mPW1PW91/STO-3G
B
0.10109

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.291
C2 0.000 0.000 -1.244
N3 0.000 0.000 -2.438

Atom - Atom Distances (Å)
  K1 C2 N3
K12.53503.7295
C22.53501.1945
N33.72951.1945

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 mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.487      
2 C -0.163      
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 10.034 10.034
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.271 0.000 0.000
y 0.000 -21.271 0.000
z 0.000 0.000 -26.236
Traceless
 xyz
x 2.482 0.000 0.000
y 0.000 2.482 0.000
z 0.000 0.000 -4.965
Polar
3z2-r2-9.929
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 1.646 0.000 0.000
y 0.000 1.646 0.000
z 0.000 0.000 7.061


<r2> (average value of r2) Å2
<r2> 96.897
(<r2>)1/2 9.844

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-685.414925
Energy at 298.15K-685.414270
HF Energy-685.414925
Nuclear repulsion energy64.063925
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 mPW1PW91/STO-3G
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 2236 1965 111.81      
2 Σ 374 329 28.64      
3 Π 57 50 5.19      
3 Π 57 50 5.19      

Unscaled Zero Point Vibrational Energy (zpe) 1362.0 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 1197.0 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 mPW1PW91/STO-3G
B
0.11373

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.212
C2 0.000 0.000 -2.419
N3 0.000 0.000 -1.217

Atom - Atom Distances (Å)
  K1 C2 N3
K13.63182.4290
C23.63181.2028
N32.42901.2028

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 mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.564      
2 C -0.166      
3 N -0.397      


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 10.178 10.178
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.981 0.000 0.000
y 0.000 -20.981 0.000
z 0.000 0.000 -27.927
Traceless
 xyz
x 3.473 0.000 0.000
y 0.000 3.473 0.000
z 0.000 0.000 -6.946
Polar
3z2-r2-13.892
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 1.520 0.000 0.000
y 0.000 1.520 0.000
z 0.000 0.000 9.588


<r2> (average value of r2) Å2
<r2> 87.961
(<r2>)1/2 9.379

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-685.428919
Energy at 298.15K-685.428970
HF Energy-685.428919
Nuclear repulsion energy69.838310
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 mPW1PW91/STO-3G
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' 2133 1875 39.47      
2 A' 402 353 44.86      
3 A' 267 235 0.32      

Unscaled Zero Point Vibrational Energy (zpe) 1400.9 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 1231.2 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 mPW1PW91/STO-3G
ABC
1.77850 0.17779 0.16163

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.002 0.000
C2 0.652 -1.457 0.000
N3 -0.559 -1.470 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.54412.5338
C22.54411.2112
N32.53381.2112

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 75.729 K1 N3 C2 76.674
C2 K1 N3 27.597
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.525      
2 C -0.172      
3 N -0.354      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.358 8.210 0.000 8.218
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.005 0.051 0.000
y 0.051 -21.996 0.000
z 0.000 0.000 -21.204
Traceless
 xyz
x -3.405 0.051 0.000
y 0.051 1.108 0.000
z 0.000 0.000 2.297
Polar
3z2-r24.594
x2-y2-3.009
xy0.051
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.092 -0.167 0.000
y -0.167 4.318 0.000
z 0.000 0.000 1.499


<r2> (average value of r2) Å2
<r2> 65.869
(<r2>)1/2 8.116