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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-254.918152
Energy at 298.15K-254.917462
HF Energy-254.918152
Nuclear repulsion energy46.783755
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/6-31G(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 2247 2151 3.33      
2 Σ 374 358 54.57      
3 Π 95 91 13.68      
3 Π 95 91 13.68      

Unscaled Zero Point Vibrational Energy (zpe) 1406.3 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 1345.8 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 PBE1PBE/6-31G(2df,p)
B
0.15604

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.679
N2 0.000 0.000 -1.845
Na3 0.000 0.000 1.545

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.16602.2241
N21.16603.3901
Na32.22413.3901

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 PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.166      
2 N -0.283      
3 Na 0.449      


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 10.223 10.223
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.984 0.000 0.000
y 0.000 -16.984 0.000
z 0.000 0.000 -12.770
Traceless
 xyz
x -2.107 0.000 0.000
y 0.000 -2.107 0.000
z 0.000 0.000 4.214
Polar
3z2-r28.428
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 3.064 0.000 0.000
y 0.000 3.064 0.000
z 0.000 0.000 5.480


<r2> (average value of r2) Å2
<r2> 62.585
(<r2>)1/2 7.911

Conformer 2 (CS)

Jump to S1C1 S1C3
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-254.925927
Energy at 298.15K-254.925731
HF Energy-254.925927
Nuclear repulsion energy52.150088
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/6-31G(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' 2139 2047 29.95      
2 A' 400 383 57.87      
3 A' 205 197 6.95      

Unscaled Zero Point Vibrational Energy (zpe) 1372.4 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 1313.4 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 PBE1PBE/6-31G(2df,p)
ABC
1.90791 0.28475 0.24777

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.082 0.626 0.000
N2 0.000 1.091 0.000
Na3 -0.590 -1.035 0.000

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.17802.3572
N21.17802.2065
Na32.35722.2065

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 82.258 C1 Na3 N2 29.684
N2 C1 Na3 68.058
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.180      
2 N -0.220      
3 Na 0.401      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.433 -6.976 0.000 8.266
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.287 3.599 0.000
y 3.599 -13.852 0.000
z 0.000 0.000 -17.259
Traceless
 xyz
x -3.732 3.599 0.000
y 3.599 4.421 0.000
z 0.000 0.000 -0.690
Polar
3z2-r2-1.379
x2-y2-5.435
xy3.599
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.059 -0.098 0.000
y -0.098 3.650 0.000
z 0.000 0.000 3.074


<r2> (average value of r2) Å2
<r2> 43.821
(<r2>)1/2 6.620

Conformer 3 (C*V)

Jump to S1C1 S1C2
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-254.919991
Energy at 298.15K 
HF Energy-254.919991
Nuclear repulsion energy49.072430
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/6-31G(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 2166 2073 116.22      
2 Σ 429 410 61.36      
3 Π 54i 52i 4.49      
3 Π 54i 52i 4.49      

Unscaled Zero Point Vibrational Energy (zpe) 1243.7 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 1190.2 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 PBE1PBE/6-31G(2df,p)
B
0.18017

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.841
N2 0.000 0.000 -0.664
Na3 0.000 0.000 1.426

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.17663.2670
N21.17662.0904
Na33.26702.0904

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 PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.344      
2 N -0.200      
3 Na 0.544      


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 10.323 10.323
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.014 0.000 0.000
y 0.000 -17.014 0.000
z 0.000 0.000 -15.131
Traceless
 xyz
x -0.942 0.000 0.000
y 0.000 -0.942 0.000
z 0.000 0.000 1.883
Polar
3z2-r23.766
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 2.970 0.000 0.000
y 0.000 2.970 0.000
z 0.000 0.000 5.274


<r2> (average value of r2) Å2
<r2> 56.029
(<r2>)1/2 7.485