return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBE/6-31G**

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**
 hartrees
Energy at 0K-254.898199
Energy at 298.15K-254.897583
HF Energy-254.898199
Nuclear repulsion energy46.404941
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**
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 2154 2125 5.17      
2 Σ 359 354 45.19      
3 Π 122 120 17.30      
3 Π 122 120 17.30      

Unscaled Zero Point Vibrational Energy (zpe) 1378.4 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 1359.6 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**
B
0.15432

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.676
N2 0.000 0.000 -1.859
Na3 0.000 0.000 1.552

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.18292.2285
N21.18293.4114
Na32.22853.4114

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** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.083      
2 N -0.441      
3 Na 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 9.831 9.831
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.379 0.000 0.000
y 0.000 -17.379 0.000
z 0.000 0.000 -12.949
Traceless
 xyz
x -2.215 0.000 0.000
y 0.000 -2.215 0.000
z 0.000 0.000 4.430
Polar
3z2-r28.860
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 3.230 0.000 0.000
y 0.000 3.230 0.000
z 0.000 0.000 7.152


<r2> (average value of r2) Å2
<r2> 63.377
(<r2>)1/2 7.961

Conformer 2 (CS)

Jump to S1C1 S1C3
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-254.902870
Energy at 298.15K-254.902624
HF Energy-254.902870
Nuclear repulsion energy51.580715
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**
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' 2050 2022 19.18      
2 A' 380 375 50.57      
3 A' 188 185 3.50      

Unscaled Zero Point Vibrational Energy (zpe) 1309.1 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 1291.2 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 PBEPBE/6-31G**
ABC
1.84380 0.28025 0.24328

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.117 0.658 0.000
N2 0.000 1.080 0.000
Na3 -0.609 -1.046 0.000

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.19462.4257
N21.19462.2122
Na32.42572.2122

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 85.260 C1 Na3 N2 29.393
N2 C1 Na3 65.347
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.044      
2 N -0.395      
3 Na 0.439      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.350 -6.870 0.000 8.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.428 3.730 0.000
y 3.730 -14.342 0.000
z 0.000 0.000 -17.731
Traceless
 xyz
x -3.391 3.730 0.000
y 3.730 4.237 0.000
z 0.000 0.000 -0.846
Polar
3z2-r2-1.693
x2-y2-5.085
xy3.730
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.405 0.051 0.000
y 0.051 4.304 0.000
z 0.000 0.000 3.339


<r2> (average value of r2) Å2
<r2> 44.667
(<r2>)1/2 6.683

Conformer 3 (C*V)

Jump to S1C1 S1C2
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-254.894908
Energy at 298.15K 
HF Energy-254.894908
Nuclear repulsion energy48.512764
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**
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 2082 2054 79.52      
2 Σ 402 396 44.23      
3 Π 70i 69i 6.88      
3 Π 70i 69i 6.88      

Unscaled Zero Point Vibrational Energy (zpe) 1171.9 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 1155.8 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 PBEPBE/6-31G**
B
0.17638

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

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.862
N2 0.000 0.000 -0.669
Na3 0.000 0.000 1.441

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.19303.3032
N21.19302.1101
Na33.30322.1101

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** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.128      
2 N -0.459      
3 Na 0.587      


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 9.962 9.962
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.404 0.000 0.000
y 0.000 -17.404 0.000
z 0.000 0.000 -15.116
Traceless
 xyz
x -1.144 0.000 0.000
y 0.000 -1.144 0.000
z 0.000 0.000 2.288
Polar
3z2-r24.576
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 3.251 0.000 0.000
y 0.000 3.251 0.000
z 0.000 0.000 8.192


<r2> (average value of r2) Å2
<r2> 57.175
(<r2>)1/2 7.561