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

using model chemistry: HSEh1PBE/3-21G

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/3-21G
 hartrees
Energy at 0K-688.977869
Energy at 298.15K-688.977363
HF Energy-688.977869
Nuclear repulsion energy61.019250
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/3-21G
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 2183 2103 2.91      
2 Σ 284 274 46.18      
3 Π 110 106 19.15      
3 Π 110 106 19.15      

Unscaled Zero Point Vibrational Energy (zpe) 1342.9 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 1293.6 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/3-21G
B
0.09927

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.305
C2 0.000 0.000 -1.273
N3 0.000 0.000 -2.450

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57713.7551
C22.57711.1779
N33.75511.1779

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/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.664      
2 C -0.200      
3 N -0.464      


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 12.209 12.209
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.708 0.000 0.000
y 0.000 -23.708 0.000
z 0.000 0.000 -28.909
Traceless
 xyz
x 2.600 0.000 0.000
y 0.000 2.600 0.000
z 0.000 0.000 -5.200
Polar
3z2-r2-10.401
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 3.160 0.000 0.000
y 0.000 3.160 0.000
z 0.000 0.000 5.822


<r2> (average value of r2) Å2
<r2> 99.978
(<r2>)1/2 9.999

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-688.979779
Energy at 298.15K 
HF Energy-688.979779
Nuclear repulsion energy64.312753
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/3-21G
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 2132 2054 70.39      
2 Σ 314 302 50.65      
3 Π 41i 39i 3.90      
3 Π 41i 39i 3.90      

Unscaled Zero Point Vibrational Energy (zpe) 1181.9 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 1138.5 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/3-21G
B
0.11407

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

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 -2.409
N3 0.000 0.000 -1.224

Atom - Atom Distances (Å)
  K1 C2 N3
K13.62062.4353
C23.62061.1853
N32.43531.1853

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/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.669      
2 C -0.013      
3 N -0.656      


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 12.350 12.350
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.681 0.000 0.000
y 0.000 -23.681 0.000
z 0.000 0.000 -31.894
Traceless
 xyz
x 4.106 0.000 0.000
y 0.000 4.106 0.000
z 0.000 0.000 -8.212
Polar
3z2-r2-16.425
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 3.037 0.000 0.000
y 0.000 3.037 0.000
z 0.000 0.000 6.107


<r2> (average value of r2) Å2
<r2> 89.694
(<r2>)1/2 9.471

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-688.983171
Energy at 298.15K-688.983005
HF Energy-688.983171
Nuclear repulsion energy67.985128
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/3-21G
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' 2092 2015 12.85      
2 A' 300 289 44.84      
3 A' 142 137 5.58      

Unscaled Zero Point Vibrational Energy (zpe) 1267.1 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 1220.6 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/3-21G
ABC
1.89669 0.16066 0.14811

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.053 0.000
C2 0.632 -1.637 0.000
N3 -0.542 -1.454 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.76252.5648
C22.76251.1881
N32.56481.1881

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 67.944 K1 N3 C2 86.629
C2 K1 N3 25.427
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.615      
2 C -0.078      
3 N -0.537      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.451 10.626 0.000 10.636
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.220 0.997 0.000
y 0.997 -25.806 0.000
z 0.000 0.000 -23.970
Traceless
 xyz
x -3.332 0.997 0.000
y 0.997 0.288 0.000
z 0.000 0.000 3.043
Polar
3z2-r26.087
x2-y2-2.414
xy0.997
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.144 -0.112 0.000
y -0.112 3.581 0.000
z 0.000 0.000 3.143


<r2> (average value of r2) Å2
<r2> 72.617
(<r2>)1/2 8.522