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

using model chemistry: mPW1PW91/TZVP

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/TZVP
 hartrees
Energy at 0K-692.804669
Energy at 298.15K-692.804072
HF Energy-692.804669
Nuclear repulsion energy60.067747
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/TZVP
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 2230 2128 0.01      
2 Σ 263 251 55.30      
3 Π 91 87 14.83      
3 Π 91 87 14.83      

Unscaled Zero Point Vibrational Energy (zpe) 1337.2 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 1275.7 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 mPW1PW91/TZVP
B
0.09459

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.339
C2 0.000 0.000 -1.331
N3 0.000 0.000 -2.494

Atom - Atom Distances (Å)
  K1 C2 N3
K12.67053.8331
C22.67051.1626
N33.83311.1626

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.915      
2 C -0.628      
3 N -0.287      


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 13.261 13.261
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.117 0.000 0.000
y 0.000 -23.117 0.000
z 0.000 0.000 -30.595
Traceless
 xyz
x 3.739 0.000 0.000
y 0.000 3.739 0.000
z 0.000 0.000 -7.478
Polar
3z2-r2-14.956
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 2.771 0.000 0.000
y 0.000 2.771 0.000
z 0.000 0.000 6.185


<r2> (average value of r2) Å2
<r2> 104.244
(<r2>)1/2 10.210

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/TZVP
 hartrees
Energy at 0K-692.807031
Energy at 298.15K-692.806398
HF Energy-692.807031
Nuclear repulsion energy63.340063
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/TZVP
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 2177 2077 84.71      
2 Σ 300 286 65.20      
3 Π 68 65 4.42      
3 Π 68 65 4.42      

Unscaled Zero Point Vibrational Energy (zpe) 1306.6 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 1246.5 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 mPW1PW91/TZVP
B
0.10915

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

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 -2.444
N3 0.000 0.000 -1.274

Atom - Atom Distances (Å)
  K1 C2 N3
K13.68562.5153
C23.68561.1703
N32.51531.1703

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.922      
2 C -0.396      
3 N -0.526      


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 13.246 13.246
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.980 0.000 0.000
y 0.000 -22.980 0.000
z 0.000 0.000 -33.053
Traceless
 xyz
x 5.036 0.000 0.000
y 0.000 5.036 0.000
z 0.000 0.000 -10.073
Polar
3z2-r2-20.146
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 2.635 0.000 0.000
y 0.000 2.635 0.000
z 0.000 0.000 5.916


<r2> (average value of r2) Å2
<r2> 92.936
(<r2>)1/2 9.640

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/TZVP
 hartrees
Energy at 0K-692.808554
Energy at 298.15K-692.808365
HF Energy-692.808554
Nuclear repulsion energy67.145560
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/TZVP
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' 2165 2066 24.09      
2 A' 279 266 55.65      
3 A' 143 137 6.36      

Unscaled Zero Point Vibrational Energy (zpe) 1293.7 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 1234.2 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/TZVP
ABC
1.94741 0.15299 0.14185

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.079 0.000
C2 0.624 -1.665 0.000
N3 -0.535 -1.501 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.81402.6351
C22.81401.1699
N32.63511.1699

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 69.150 K1 N3 C2 86.337
C2 K1 N3 24.513
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.862      
2 C -0.430      
3 N -0.431      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.393 11.373 0.000 11.380
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.568 0.935 0.000
y 0.935 -26.652 0.000
z 0.000 0.000 -23.234
Traceless
 xyz
x -2.624 0.935 0.000
y 0.935 -1.251 0.000
z 0.000 0.000 3.876
Polar
3z2-r27.751
x2-y2-0.915
xy0.935
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.353 -0.253 0.000
y -0.253 3.848 0.000
z 0.000 0.000 2.893


<r2> (average value of r2) Å2
<r2> 74.990
(<r2>)1/2 8.660