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

using model chemistry: B3LYP/6-311+G(3df,2p)

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 B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.831063
Energy at 298.15K-692.830436
HF Energy-692.831063
Nuclear repulsion energy61.159814
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 B3LYP/6-311+G(3df,2p)
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 2198 2125 0.81      
2 Σ 277 268 69.38      
3 Π 77 75 6.64      
3 Π 77 75 6.64      

Unscaled Zero Point Vibrational Energy (zpe) 1314.6 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 1271.2 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 B3LYP/6-311+G(3df,2p)
B
0.09914

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

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 -1.283
N3 0.000 0.000 -2.446

Atom - Atom Distances (Å)
  K1 C2 N3
K12.58983.7527
C22.58981.1630
N33.75271.1630

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 B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.930      
2 C -0.286      
3 N -0.644      


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 12.280 12.280
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.326 0.000 0.000
y 0.000 -23.326 0.000
z 0.000 0.000 -31.805
Traceless
 xyz
x 4.240 0.000 0.000
y 0.000 4.240 0.000
z 0.000 0.000 -8.479
Polar
3z2-r2-16.959
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 3.988 0.000 0.000
y 0.000 3.988 0.000
z 0.000 0.000 7.327


<r2> (average value of r2) Å2
<r2> 100.535
(<r2>)1/2 10.027

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.834033
Energy at 298.15K 
HF Energy-692.834033
Nuclear repulsion energy64.618606
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 B3LYP/6-311+G(3df,2p)
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 2135 2065 128.58      
2 Σ 311 301 85.06      
3 Π 35i 34i 1.27      
3 Π 35i 34i 1.27      

Unscaled Zero Point Vibrational Energy (zpe) 1188.2 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 1149.0 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 B3LYP/6-311+G(3df,2p)
B
0.11479

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.208
C2 0.000 0.000 -2.397
N3 0.000 0.000 -1.225

Atom - Atom Distances (Å)
  K1 C2 N3
K13.60552.4339
C23.60551.1716
N32.43391.1716

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 B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.935      
2 C -0.178      
3 N -0.757      


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 12.091 12.091
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.283 0.000 0.000
y 0.000 -23.283 0.000
z 0.000 0.000 -33.600
Traceless
 xyz
x 5.159 0.000 0.000
y 0.000 5.159 0.000
z 0.000 0.000 -10.317
Polar
3z2-r2-20.634
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 4.014 0.000 0.000
y 0.000 4.014 0.000
z 0.000 0.000 7.094


<r2> (average value of r2) Å2
<r2> 89.425
(<r2>)1/2 9.456

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-692.836781
Energy at 298.15K-692.836613
HF Energy-692.836781
Nuclear repulsion energy68.605892
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 B3LYP/6-311+G(3df,2p)
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' 2126 2056 29.81      
2 A' 303 293 69.01      
3 A' 138 134 10.13      

Unscaled Zero Point Vibrational Energy (zpe) 1283.8 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 1241.4 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 B3LYP/6-311+G(3df,2p)
ABC
1.98525 0.16221 0.14996

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.047 0.000
C2 0.618 -1.653 0.000
N3 -0.530 -1.424 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.77012.5274
C22.77011.1709
N32.52741.1709

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 65.825 K1 N3 C2 89.172
C2 K1 N3 25.003
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.879      
2 C -0.180      
3 N -0.700      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.397 10.134 0.000 10.142
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.424 1.157 0.000
y 1.157 -26.757 0.000
z 0.000 0.000 -23.331
Traceless
 xyz
x -2.379 1.157 0.000
y 1.157 -1.380 0.000
z 0.000 0.000 3.759
Polar
3z2-r27.518
x2-y2-0.666
xy1.157
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.097 -0.249 0.000
y -0.249 5.534 0.000
z 0.000 0.000 4.073


<r2> (average value of r2) Å2
<r2> 71.822
(<r2>)1/2 8.475