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

using model chemistry: LSDA/6-31+G**

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 LSDA/6-31+G**
 hartrees
Energy at 0K-690.860796
Energy at 298.15K-690.860258
HF Energy-690.860796
Nuclear repulsion energy61.033063
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 LSDA/6-31+G**
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 2168 2136 0.26      
2 Σ 292 288 57.22      
3 Π 98 96 10.94      
3 Π 98 96 10.94      

Unscaled Zero Point Vibrational Energy (zpe) 1327.8 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 1307.9 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 LSDA/6-31+G**
B
0.09935

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.304
C2 0.000 0.000 -1.271
N3 0.000 0.000 -2.450

Atom - Atom Distances (Å)
  K1 C2 N3
K12.57563.7539
C22.57561.1783
N33.75391.1783

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 LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 1.002      
2 C -0.640      
3 N -0.362      


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 12.214 12.214
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.603 0.000 0.000
y 0.000 -23.603 0.000
z 0.000 0.000 -31.691
Traceless
 xyz
x 4.044 0.000 0.000
y 0.000 4.044 0.000
z 0.000 0.000 -8.088
Polar
3z2-r2-16.176
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 3.661 0.000 0.000
y 0.000 3.661 -0.000
z 0.000 -0.000 8.297


<r2> (average value of r2) Å2
<r2> 100.449
(<r2>)1/2 10.022

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at LSDA/6-31+G**
 hartrees
Energy at 0K-690.862486
Energy at 298.15K-690.861846
HF Energy-690.862486
Nuclear repulsion energy64.386391
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 LSDA/6-31+G**
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 2112 2080 93.40      
2 Σ 326 321 69.32      
3 Π 59 58 3.16      
3 Π 59 58 3.15      

Unscaled Zero Point Vibrational Energy (zpe) 1277.8 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 1258.6 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 LSDA/6-31+G**
B
0.11442

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.210
C2 0.000 0.000 -2.406
N3 0.000 0.000 -1.220

Atom - Atom Distances (Å)
  K1 C2 N3
K13.61602.4299
C23.61601.1861
N32.42991.1861

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 LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.908      
2 C -0.283      
3 N -0.624      


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 12.196 12.196
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.558 0.000 0.000
y 0.000 -23.558 0.000
z 0.000 0.000 -33.755
Traceless
 xyz
x 5.099 0.000 0.000
y 0.000 5.099 0.000
z 0.000 0.000 -10.198
Polar
3z2-r2-20.395
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 3.682 -0.000 -0.000
y -0.000 3.682 -0.000
z -0.000 -0.000 8.256


<r2> (average value of r2) Å2
<r2> 89.804
(<r2>)1/2 9.476

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at LSDA/6-31+G**
 hartrees
Energy at 0K-690.865763
Energy at 298.15K-690.865667
HF Energy-690.865763
Nuclear repulsion energy69.038816
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 LSDA/6-31+G**
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' 2102 2070 19.65      
2 A' 314 310 66.12      
3 A' 177 174 5.75      

Unscaled Zero Point Vibrational Energy (zpe) 1296.2 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 1276.8 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 LSDA/6-31+G**
ABC
1.88077 0.16812 0.15432

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.030 0.000
C2 0.635 -1.573 0.000
N3 -0.544 -1.446 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.67882.5347
C22.67881.1852
N32.53471.1852

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 70.152 K1 N3 C2 83.756
C2 K1 N3 26.092
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.889      
2 C -0.444      
3 N -0.445      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.426 10.068 0.000 10.077
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.959 0.776 0.000
y 0.776 -26.738 0.000
z 0.000 0.000 -23.594
Traceless
 xyz
x -2.793 0.776 0.000
y 0.776 -0.962 0.000
z 0.000 0.000 3.755
Polar
3z2-r27.509
x2-y2-1.221
xy0.776
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.419 -0.249 0.000
y -0.249 5.559 0.000
z 0.000 0.000 3.949


<r2> (average value of r2) Å2
<r2> 70.411
(<r2>)1/2 8.391