return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: mPW1PW91/3-21G*

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 mPW1PW91/3-21G*
 hartrees
Energy at 0K-689.240285
Energy at 298.15K-689.239543
HF Energy-689.240285
Nuclear repulsion energy60.954926
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 mPW1PW91/3-21G*
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 2186 2075 3.97      
2 Σ 276 262 49.79      
3 Π 48 46 17.38      
3 Π 48 46 17.38      

Unscaled Zero Point Vibrational Energy (zpe) 1278.9 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 1214.4 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 mPW1PW91/3-21G*
B
0.09897

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.307
C2 0.000 0.000 -1.276
N3 0.000 0.000 -2.453

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58293.7601
C22.58291.1771
N33.76011.1771

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 mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.593      
2 C -0.121      
3 N -0.472      


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 12.084 12.084
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.510 0.000 0.000
y 0.000 -23.510 0.000
z 0.000 0.000 -29.261
Traceless
 xyz
x 2.876 0.000 0.000
y 0.000 2.876 0.000
z 0.000 0.000 -5.752
Polar
3z2-r2-11.503
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 3.134 0.000 0.000
y 0.000 3.134 0.000
z 0.000 0.000 5.747


<r2> (average value of r2) Å2
<r2> 100.228
(<r2>)1/2 10.011

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-689.247304
Energy at 298.15K 
HF Energy-689.247304
Nuclear repulsion energy64.625453
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 mPW1PW91/3-21G*
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 2113 2006 81.43      
2 Σ 322 306 58.09      
3 Π 72i 68i 3.62      
3 Π 72i 68i 3.62      

Unscaled Zero Point Vibrational Energy (zpe) 1145.5 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 1087.8 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 mPW1PW91/3-21G*
B
0.11552

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.203
C2 0.000 0.000 -2.398
N3 0.000 0.000 -1.211

Atom - Atom Distances (Å)
  K1 C2 N3
K13.60132.4139
C23.60131.1874
N32.41391.1874

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 mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.570      
2 C 0.000      
3 N -0.570      


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 11.980 11.980
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.495 0.000 0.000
y 0.000 -23.495 0.000
z 0.000 0.000 -31.582
Traceless
 xyz
x 4.044 0.000 0.000
y 0.000 4.044 0.000
z 0.000 0.000 -8.087
Polar
3z2-r2-16.175
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 2.981 0.000 0.000
y 0.000 2.981 0.000
z 0.000 0.000 5.469


<r2> (average value of r2) Å2
<r2> 88.631
(<r2>)1/2 9.414

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-689.250819
Energy at 298.15K-689.250643
HF Energy-689.250819
Nuclear repulsion energy68.080868
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 mPW1PW91/3-21G*
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' 2082 1977 21.32      
2 A' 328 311 43.88      
3 A' 119 113 8.96      

Unscaled Zero Point Vibrational Energy (zpe) 1263.8 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 1200.1 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 mPW1PW91/3-21G*
ABC
2.00552 0.15939 0.14765

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.054 0.000
C2 0.616 -1.714 0.000
N3 -0.528 -1.392 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.83662.5028
C22.83661.1890
N32.50281.1890

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 61.721 K1 N3 C2 93.548
C2 K1 N3 24.731
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.513      
2 C -0.017      
3 N -0.496      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.302 10.374 0.000 10.378
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.887 1.369 0.000
y 1.369 -25.965 0.000
z 0.000 0.000 -23.743
Traceless
 xyz
x -3.033 1.369 0.000
y 1.369 -0.150 0.000
z 0.000 0.000 3.183
Polar
3z2-r26.366
x2-y2-1.922
xy1.369
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.126 -0.305 0.000
y -0.305 3.782 0.000
z 0.000 0.000 3.055


<r2> (average value of r2) Å2
<r2> 72.709
(<r2>)1/2 8.527