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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-688.984090
Energy at 298.15K-688.983358
HF Energy-688.984090
Nuclear repulsion energy60.981537
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 2185 2097 4.38      
2 Σ 278 266 49.44      
3 Π 50 48 17.60      
3 Π 50 48 17.60      

Unscaled Zero Point Vibrational Energy (zpe) 1281.6 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 1230.2 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 HSEh1PBE/3-21G*
B
0.09909

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 1.306
C2 0.000 0.000 -1.275
N3 0.000 0.000 -2.452

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58063.7580
C22.58061.1774
N33.75801.1774

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 0.581      
2 C -0.112      
3 N -0.469      


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 12.015 12.015
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.544 0.000 0.000
y 0.000 -23.544 0.000
z 0.000 0.000 -29.187
Traceless
 xyz
x 2.822 0.000 0.000
y 0.000 2.822 0.000
z 0.000 0.000 -5.643
Polar
3z2-r2-11.286
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 3.230 0.000 0.000
y 0.000 3.230 0.000
z 0.000 0.000 6.016


<r2> (average value of r2) Å2
<r2> 100.120
(<r2>)1/2 10.006

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at HSEh1PBE/3-21G*
 hartrees
Energy at 0K-688.991022
Energy at 298.15K 
HF Energy-688.991022
Nuclear repulsion energy64.657434
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 2111 2026 83.40      
2 Σ 323 310 57.58      
3 Π 75i 72i 3.53      
3 Π 75i 72i 3.53      

Unscaled Zero Point Vibrational Energy (zpe) 1142.0 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 1096.2 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 HSEh1PBE/3-21G*
B
0.11568

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 1.202
C2 0.000 0.000 -2.397
N3 0.000 0.000 -1.209

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59932.4115
C23.59931.1878
N32.41151.1878

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 0.559      
2 C 0.002      
3 N -0.561      


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 11.925 11.925
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.534 0.000 0.000
y 0.000 -23.534 0.000
z 0.000 0.000 -31.541
Traceless
 xyz
x 4.003 0.000 0.000
y 0.000 4.003 0.000
z 0.000 0.000 -8.006
Polar
3z2-r2-16.012
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 3.065 0.000 0.000
y 0.000 3.065 0.000
z 0.000 0.000 5.687


<r2> (average value of r2) Å2
<r2> 88.539
(<r2>)1/2 9.410

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at HSEh1PBE/3-21G*
 hartrees
Energy at 0K-688.994826
Energy at 298.15K-688.994652
HF Energy-688.994826
Nuclear repulsion energy68.202560
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' 2081 1997 21.00      
2 A' 331 318 43.80      
3 A' 118 113 8.73      

Unscaled Zero Point Vibrational Energy (zpe) 1264.7 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 1214.0 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 HSEh1PBE/3-21G*
ABC
1.98850 0.16050 0.14851

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 1.051 0.000
C2 0.619 -1.701 0.000
N3 -0.530 -1.395 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.82072.5024
C22.82071.1891
N32.50241.1891

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 62.399 K1 N3 C2 92.696
C2 K1 N3 24.905
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 0.501      
2 C -0.012      
3 N -0.488      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.319 10.284 0.000 10.289
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.958 1.319 0.000
y 1.319 -25.824 0.000
z 0.000 0.000 -23.788
Traceless
 xyz
x -3.151 1.319 0.000
y 1.319 0.048 0.000
z 0.000 0.000 3.103
Polar
3z2-r26.206
x2-y2-2.133
xy1.319
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.193 -0.284 0.000
y -0.284 3.892 0.000
z 0.000 0.000 3.113


<r2> (average value of r2) Å2
<r2> 72.377
(<r2>)1/2 8.507