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/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-254.916030
Energy at 298.15K-254.915333
HF Energy-254.916030
Nuclear repulsion energy46.301125
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/cc-pVDZ
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 2144 2131 4.39      
2 Σ 360 358 44.06      
3 Π 97 96 19.80      
3 Π 97 96 19.80      

Unscaled Zero Point Vibrational Energy (zpe) 1348.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 1340.9 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 PBEPBE/cc-pVDZ
B
0.15346

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.680
N2 0.000 0.000 -1.864
Na3 0.000 0.000 1.557

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.18392.2366
N21.18393.4205
Na32.23663.4205

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/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.382      
2 N -0.197      
3 Na 0.578      


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 9.862 9.862
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.486 0.000 0.000
y 0.000 -17.486 0.000
z 0.000 0.000 -12.521
Traceless
 xyz
x -2.482 0.000 0.000
y 0.000 -2.482 0.000
z 0.000 0.000 4.965
Polar
3z2-r29.929
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 3.335 0.000 0.000
y 0.000 3.335 0.000
z 0.000 0.000 6.960


<r2> (average value of r2) Å2
<r2> 63.633
(<r2>)1/2 7.977

Conformer 2 (CS)

Jump to S1C1 S1C3
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-254.921889
Energy at 298.15K-254.921638
HF Energy-254.921889
Nuclear repulsion energy51.486737
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/cc-pVDZ
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' 2038 2026 20.37      
2 A' 375 373 51.19      
3 A' 185 183 6.29      

Unscaled Zero Point Vibrational Energy (zpe) 1298.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 1291.1 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/cc-pVDZ
ABC
1.84362 0.27877 0.24216

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.120 0.661 0.000
N2 0.000 1.080 0.000
Na3 -0.611 -1.048 0.000

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.19562.4323
N21.19562.2140
Na32.43232.2140

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 85.500 C1 Na3 N2 29.344
N2 C1 Na3 65.156
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.238      
2 N -0.205      
3 Na 0.443      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.555 -6.981 0.000 8.336
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.794 3.662 0.000
y 3.662 -14.124 0.000
z 0.000 0.000 -17.758
Traceless
 xyz
x -3.853 3.662 0.000
y 3.662 4.652 0.000
z 0.000 0.000 -0.799
Polar
3z2-r2-1.599
x2-y2-5.670
xy3.662
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.613 0.052 0.000
y 0.052 4.171 0.000
z 0.000 0.000 3.342


<r2> (average value of r2) Å2
<r2> 44.860
(<r2>)1/2 6.698

Conformer 3 (C*V)

Jump to S1C1 S1C2
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-254.916628
Energy at 298.15K 
HF Energy-254.916628
Nuclear repulsion energy48.392335
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/cc-pVDZ
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 2066 2054 80.90      
2 Σ 401 399 46.65      
3 Π 48i 48i 5.26      
3 Π 48i 48i 5.26      

Unscaled Zero Point Vibrational Energy (zpe) 1185.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 1178.5 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/cc-pVDZ
B
0.17545

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C∞v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -1.867
N2 0.000 0.000 -0.671
Na3 0.000 0.000 1.445

Atom - Atom Distances (Å)
  C1 N2 Na3
C11.19553.3116
N21.19552.1161
Na33.31162.1161

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/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.268      
2 N -0.279      
3 Na 0.547      


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 10.310 10.310
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -17.487 0.000 0.000
y 0.000 -17.487 0.000
z 0.000 0.000 -15.549
Traceless
 xyz
x -0.969 0.000 0.000
y 0.000 -0.969 0.000
z 0.000 0.000 1.938
Polar
3z2-r23.876
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 3.248 -0.000 -0.000
y -0.000 3.248 0.000
z -0.000 0.000 8.031


<r2> (average value of r2) Å2
<r2> 57.546
(<r2>)1/2 7.586