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

using model chemistry: PBE1PBE/6-311G*

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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-692.516004
Energy at 298.15K-692.515390
HF Energy-692.516004
Nuclear repulsion energy61.339275
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 PBE1PBE/6-311G*
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 2137 2.38      
2 Σ 288 276 65.55      
3 Π 78 75 10.87      
3 Π 78 75 10.87      

Unscaled Zero Point Vibrational Energy (zpe) 1336.8 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 1281.3 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 PBE1PBE/6-311G*
B
0.09997

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.301
C2 0.000 0.000 -1.274
N3 0.000 0.000 -2.438

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57443.7391
C22.57441.1646
N33.73911.1646

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 PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.758      
2 C -0.425      
3 N -0.333      


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 11.928 11.928
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.935 0.000 0.000
y 0.000 -22.935 0.000
z 0.000 0.000 -30.390
Traceless
 xyz
x 3.728 0.000 0.000
y 0.000 3.728 0.000
z 0.000 0.000 -7.455
Polar
3z2-r2-14.911
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 3.102 0.000 0.000
y 0.000 3.102 0.000
z 0.000 0.000 6.384


<r2> (average value of r2) Å2
<r2> 99.376
(<r2>)1/2 9.969

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/6-311G*
 hartrees
Energy at 0K-692.518630
Energy at 298.15K 
HF Energy-692.518630
Nuclear repulsion energy64.858764
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 PBE1PBE/6-311G*
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 2164 2075 124.06      
2 Σ 324 310 81.63      
3 Π 62i 60i 2.07      
3 Π 62i 60i 2.07      

Unscaled Zero Point Vibrational Energy (zpe) 1181.8 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 1132.7 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 PBE1PBE/6-311G*
B
0.11594

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

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 -2.389
N3 0.000 0.000 -1.215

Atom - Atom Distances (Å)
  K1 C2 N3
K13.59052.4169
C23.59051.1737
N32.41691.1737

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 PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.765      
2 C -0.215      
3 N -0.551      


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 11.881 11.881
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.828 0.000 0.000
y 0.000 -22.828 0.000
z 0.000 0.000 -32.738
Traceless
 xyz
x 4.955 0.000 0.000
y 0.000 4.955 0.000
z 0.000 0.000 -9.911
Polar
3z2-r2-19.821
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 3.052 0.000 0.000
y 0.000 3.052 0.000
z 0.000 0.000 6.231


<r2> (average value of r2) Å2
<r2> 88.334
(<r2>)1/2 9.399

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/6-311G*
 hartrees
Energy at 0K-692.522969
Energy at 298.15K-692.522838
HF Energy-692.522969
Nuclear repulsion energy69.014855
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 PBE1PBE/6-311G*
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' 2152 2063 25.05      
2 A' 312 299 69.49      
3 A' 157 150 7.64      

Unscaled Zero Point Vibrational Energy (zpe) 1310.3 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 1255.9 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 PBE1PBE/6-311G*
ABC
1.94690 0.16590 0.15288

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.036 0.000
C2 0.624 -1.613 0.000
N3 -0.535 -1.428 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.72172.5214
C22.72171.1736
N32.52141.1736

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 67.667 K1 N3 C2 86.831
C2 K1 N3 25.502
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.703      
2 C -0.263      
3 N -0.441      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.439 9.961 0.000 9.971
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.168 1.024 0.000
y 1.024 -26.250 0.000
z 0.000 0.000 -23.076
Traceless
 xyz
x -2.504 1.024 0.000
y 1.024 -1.128 0.000
z 0.000 0.000 3.632
Polar
3z2-r27.265
x2-y2-0.917
xy1.024
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.400 -0.236 0.000
y -0.236 4.545 0.000
z 0.000 0.000 3.240


<r2> (average value of r2) Å2
<r2> 70.548
(<r2>)1/2 8.399