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

using model chemistry: B97D3/3-21G*

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 B97D3/3-21G*
 hartrees
Energy at 0K-689.255217
Energy at 298.15K-689.254362
HF Energy-689.255217
Nuclear repulsion energy60.299948
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 B97D3/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σ 2079 2079 7.24      
2 Σ 253 253 42.97      
3 Π 27 27 16.96      
3 Π 27 27 16.96      

Unscaled Zero Point Vibrational Energy (zpe) 1192.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1192.8 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 B97D3/3-21G*
B
0.09679

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.322
C2 0.000 0.000 -1.291
N3 0.000 0.000 -2.480

Atom - Atom Distances (Å)
  K1 C2 N3
K12.61293.8015
C22.61291.1886
N33.80151.1886

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 B97D3/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.538      
2 C -0.085      
3 N -0.453      


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 11.804 11.804
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.025 0.000 0.000
y 0.000 -24.025 0.000
z 0.000 0.000 -29.102
Traceless
 xyz
x 2.539 0.000 0.000
y 0.000 2.539 0.000
z 0.000 0.000 -5.077
Polar
3z2-r2-10.155
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 4.144 0.000 0.000
y 0.000 4.144 0.000
z 0.000 0.000 8.018


<r2> (average value of r2) Å2
<r2> 102.304
(<r2>)1/2 10.115

Conformer 2 (C*V)

Jump to S1C1 S1C3
Energy calculated at B97D3/3-21G*
 hartrees
Energy at 0K-689.261577
Energy at 298.15K 
HF Energy-689.261577
Nuclear repulsion energy63.810066
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 B97D3/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σ 2011 2011 67.47      
2 Σ 299 299 47.28      
3 Π 74i 74i 3.15      
3 Π 74i 74i 3.15      

Unscaled Zero Point Vibrational Energy (zpe) 1080.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1080.8 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 B97D3/3-21G*
B
0.11245

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G*

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 0.000 1.220
C2 0.000 0.000 -2.428
N3 0.000 0.000 -1.230

Atom - Atom Distances (Å)
  K1 C2 N3
K13.64822.4498
C23.64821.1985
N32.44981.1985

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 B97D3/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.516      
2 C 0.007      
3 N -0.524      


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 11.838 11.838
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.036 0.000 0.000
y 0.000 -24.036 0.000
z 0.000 0.000 -31.555
Traceless
 xyz
x 3.760 0.000 0.000
y 0.000 3.760 0.000
z 0.000 0.000 -7.519
Polar
3z2-r2-15.038
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 4.036 0.000 0.000
y 0.000 4.036 0.000
z 0.000 0.000 8.067


<r2> (average value of r2) Å2
<r2> 90.822
(<r2>)1/2 9.530

Conformer 3 (CS)

Jump to S1C1 S1C2
Energy calculated at B97D3/3-21G*
 hartrees
Energy at 0K-689.265529
Energy at 298.15K-689.265330
HF Energy-689.265529
Nuclear repulsion energy67.293245
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 B97D3/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 1977 1977 16.93      
2 A' 297 297 41.48      
3 A' 127 127 7.01      

Unscaled Zero Point Vibrational Energy (zpe) 1200.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1200.5 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 B97D3/3-21G*
ABC
1.92324 0.15622 0.14448

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
K1 0.000 1.066 0.000
C2 0.629 -1.709 0.000
N3 -0.539 -1.429 0.000

Atom - Atom Distances (Å)
  K1 C2 N3
K12.84482.5522
C22.84481.2007
N32.55221.2007

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 63.758 K1 N3 C2 91.284
C2 K1 N3 24.958
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 K 0.467      
2 C -0.008      
3 N -0.460      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.369 10.252 0.000 10.259
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.296 1.237 0.000
y 1.237 -25.867 0.000
z 0.000 0.000 -24.186
Traceless
 xyz
x -3.270 1.237 0.000
y 1.237 0.375 0.000
z 0.000 0.000 2.895
Polar
3z2-r25.790
x2-y2-2.429
xy1.237
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.886 -0.218 0.000
y -0.218 4.749 0.000
z 0.000 0.000 3.831


<r2> (average value of r2) Å2
<r2> 74.107
(<r2>)1/2 8.609