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All results from a given calculation for NaCN (Sodium Cyanide)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C*V 1Σ
1 2 yes CS 1A
1 3 no C*V 1Σ

Conformer 1 (C*V)

Jump to S1C2 S1C3
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-254.903813
Energy at 298.15K-254.903091
HF Energy-254.903813
Nuclear repulsion energy46.492803
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 PBEPBE/6-31G(2df,p)
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 2145 2123 6.58      
2 Σ 367 363 45.05      
3 Π 89 88 13.92      
3 Π 89 88 13.93      

Unscaled Zero Point Vibrational Energy (zpe) 1344.5 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 1330.7 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 PBEPBE/6-31G(2df,p)
B
0.15473

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.677
N2 0.000 0.000 -1.856
Na3 0.000 0.000 1.550

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.17902.2274
N21.17903.4064
Na32.22743.4064

picture of Sodium Cyanide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 Na3 0.000 C1 Na3 N2 0.000
N2 C1 Na3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.135      
2 N -0.283      
3 Na 0.418      


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 9.764 9.764
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.303 0.000 0.000
y 0.000 -17.303 0.000
z 0.000 0.000 -12.885
Traceless
 xyz
x -2.209 0.000 0.000
y 0.000 -2.209 0.000
z 0.000 0.000 4.418
Polar
3z2-r28.837
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 3.538 0.000 0.000
y 0.000 3.537 0.000
z 0.000 0.000 7.030


<r2> (average value of r2) Å2
<r2> 63.191
(<r2>)1/2 7.949

Conformer 2 (CS)

Jump to S1C1 S1C3
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-254.910688
Energy at 298.15K-254.910488
HF Energy-254.910688
Nuclear repulsion energy51.868174
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 PBEPBE/6-31G(2df,p)
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' 2041 2020 22.30      
2 A' 394 390 52.72      
3 A' 208 206 5.79      

Unscaled Zero Point Vibrational Energy (zpe) 1321.1 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 1307.5 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 PBEPBE/6-31G(2df,p)
ABC
1.85956 0.28410 0.24645

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.115 0.657 0.000
N2 0.000 1.076 0.000
Na3 -0.608 -1.043 0.000

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.19112.4200
N21.19112.2046
Na32.42002.2046

picture of Sodium Cyanide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 Na3 85.385 C1 Na3 N2 29.380
N2 C1 Na3 65.235
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.182      
2 N -0.176      
3 Na 0.358      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.352 -6.720 0.000 8.006
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.510 3.704 0.000
y 3.704 -14.109 0.000
z 0.000 0.000 -17.605
Traceless
 xyz
x -3.653 3.704 0.000
y 3.704 4.448 0.000
z 0.000 0.000 -0.795
Polar
3z2-r2-1.590
x2-y2-5.401
xy3.704
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.579 0.057 0.000
y 0.057 4.321 0.000
z 0.000 0.000 3.479


<r2> (average value of r2) Å2
<r2> 44.173
(<r2>)1/2 6.646

Conformer 3 (C*V)

Jump to S1C1 S1C2
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-254.904327
Energy at 298.15K 
HF Energy-254.904327
Nuclear repulsion energy48.703261
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 PBEPBE/6-31G(2df,p)
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 2072 2051 86.96      
2 Σ 417 413 46.24      
3 Π 56i 55i 4.23      
3 Π 56i 55i 4.23      

Unscaled Zero Point Vibrational Energy (zpe) 1188.9 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 1176.6 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 PBEPBE/6-31G(2df,p)
B
0.17781

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.855
N2 0.000 0.000 -0.666
Na3 0.000 0.000 1.435

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.18893.2900
N21.18892.1011
Na33.29002.1011

picture of Sodium Cyanide state 1 conformation 3
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 Na3 180.000 C1 Na3 N2 0.000
N2 C1 Na3 0.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.342      
2 N -0.144      
3 Na 0.486      


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 10.002 10.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.390 0.000 0.000
y 0.000 -17.390 0.000
z 0.000 0.000 -15.299
Traceless
 xyz
x -1.045 0.000 0.000
y 0.000 -1.045 0.000
z 0.000 0.000 2.091
Polar
3z2-r24.182
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 3.501 0.000 0.000
y 0.000 3.501 0.000
z 0.000 0.000 7.633


<r2> (average value of r2) Å2
<r2> 56.830
(<r2>)1/2 7.539