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

using model chemistry: HSEh1PBE/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 HSEh1PBE/STO-3G
 hartrees
Energy at 0K-685.183523
Energy at 298.15K-685.183223
HF Energy-685.183523
Nuclear repulsion energy61.287666
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/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 2040 44.88      
2 Σ 365 322 31.61      
3 Π 172 152 8.37      
3 Π 172 152 8.37      

Unscaled Zero Point Vibrational Energy (zpe) 1509.6 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 1333.1 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/STO-3G
B
0.10116

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 -1.243
N3 0.000 0.000 -2.438

Atom - Atom Distances (Å)
  K1 C2 N3
K12.53363.7285
C22.53361.1949
N33.72851.1949

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.476      
2 C -0.157      
3 N -0.318      


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 9.862 9.862
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.353 0.000 0.000
y 0.000 -21.353 0.000
z 0.000 0.000 -26.229
Traceless
 xyz
x 2.438 0.000 0.000
y 0.000 2.438 0.000
z 0.000 0.000 -4.876
Polar
3z2-r2-9.752
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 1.677 0.000 0.000
y 0.000 1.677 0.000
z 0.000 0.000 7.374


<r2> (average value of r2) Å2
<r2> 96.872
(<r2>)1/2 9.842

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at HSEh1PBE/STO-3G
 hartrees
Energy at 0K-685.169869
Energy at 298.15K-685.169222
HF Energy-685.169869
Nuclear repulsion energy64.058495
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/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 2234 1973 103.46      
2 Σ 373 329 25.23      
3 Π 60 53 5.25      
3 Π 60 53 5.25      

Unscaled Zero Point Vibrational Energy (zpe) 1363.5 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 1204.1 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/STO-3G
B
0.11373

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 -2.420
N3 0.000 0.000 -1.217

Atom - Atom Distances (Å)
  K1 C2 N3
K13.63202.4288
C23.63201.2032
N32.42881.2032

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.550      
2 C -0.162      
3 N -0.388      


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 9.946 9.946
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.079 0.000 0.000
y 0.000 -21.079 0.000
z 0.000 0.000 -27.859
Traceless
 xyz
x 3.390 0.000 0.000
y 0.000 3.390 0.000
z 0.000 0.000 -6.780
Polar
3z2-r2-13.560
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 1.564 0.000 0.000
y 0.000 1.564 0.000
z 0.000 0.000 10.229


<r2> (average value of r2) Å2
<r2> 87.992
(<r2>)1/2 9.380

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at HSEh1PBE/STO-3G
 hartrees
Energy at 0K-685.183944
Energy at 298.15K-685.183994
HF Energy-685.183944
Nuclear repulsion energy69.863479
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/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' 2131 1882 38.14      
2 A' 402 355 42.83      
3 A' 266 235 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 1399.3 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 1235.7 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/STO-3G
ABC
1.77734 0.17802 0.16181

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.001 0.000
C2 0.652 -1.457 0.000
N3 -0.559 -1.469 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.54282.5322
C22.54281.2116
N32.53221.2116

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 75.700 K1 N3 C2 76.677
C2 K1 N3 27.623
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.515      
2 C -0.168      
3 N -0.347      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.356 8.090 0.000 8.098
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.041 0.041 0.000
y 0.041 -22.018 0.000
z 0.000 0.000 -21.280
Traceless
 xyz
x -3.392 0.041 0.000
y 0.041 1.142 0.000
z 0.000 0.000 2.249
Polar
3z2-r24.499
x2-y2-3.022
xy0.041
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.117 -0.187 0.000
y -0.187 4.494 0.000
z 0.000 0.000 1.522


<r2> (average value of r2) Å2
<r2> 65.838
(<r2>)1/2 8.114