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All results from a given calculation for C3H3N2 (imidazolyl radical)

using model chemistry: LSDA/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at LSDA/cc-pVDZ
 hartrees
Energy at 0K-224.306260
Energy at 298.15K-224.310563
HF Energy-224.306260
Nuclear repulsion energy153.026709
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 LSDA/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 A1 3152 3117 1.58      
2 A1 3147 3112 5.48      
3 A1 1458 1442 30.12      
4 A1 1277 1263 41.73      
5 A1 1186 1173 20.89      
6 A1 977 966 1.61      
7 A1 892 882 5.45      
8 A2 855 846 0.00      
9 A2 544 538 0.00      
10 B1 857 847 0.00      
11 B1 684 676 27.69      
12 B1 433 429 17.75      
13 B2 3136 3102 0.07      
14 B2 1507 1491 16.65      
15 B2 1233 1219 1.07      
16 B2 1158 1145 0.01      
17 B2 1030 1019 94.24      
18 B2 814 805 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 12169.3 cm-1
Scaled (by 0.989) Zero Point Vibrational Energy (zpe) 12035.4 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 LSDA/cc-pVDZ
ABC
0.35616 0.30628 0.16467

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.166 0.373
N3 0.000 -1.166 0.373
C4 0.000 0.734 -0.873
C5 0.000 -0.734 -0.873
H6 0.000 0.000 2.191
H7 0.000 1.417 -1.738
H8 0.000 -1.417 -1.738

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36791.36792.09502.09501.10213.16193.1619
N21.36792.33141.31892.27232.15952.12593.3354
N31.36792.33142.27231.31892.15953.33542.1259
C42.09501.31892.27231.46853.15101.10152.3181
C52.09502.27231.31891.46853.15102.31811.1015
H61.10212.15952.15953.15103.15104.17664.1766
H73.16192.12593.33541.10152.31814.17662.8331
H83.16193.33542.12592.31811.10154.17662.8331

picture of imidazolyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 102.457 C1 N3 C5 102.457
N2 C1 N3 116.896 N2 C1 H6 121.552
N2 C4 C5 109.094 N2 C4 H7 122.630
N3 C1 H6 121.552 N3 C5 C4 109.094
N3 C5 H8 122.630 C4 C5 H8 128.275
C5 C4 H7 128.275
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.087      
2 N -0.137      
3 N -0.137      
4 C 0.001      
5 C 0.001      
6 H 0.070      
7 H 0.056      
8 H 0.056      


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 -1.456 1.456
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.981 0.000 0.000
y 0.000 -33.507 0.000
z 0.000 0.000 -22.488
Traceless
 xyz
x -0.983 0.000 0.000
y 0.000 -7.773 0.000
z 0.000 0.000 8.756
Polar
3z2-r217.512
x2-y24.526
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.898 0.000 0.000
y 0.000 6.080 0.000
z 0.000 0.000 7.627


<r2> (average value of r2) Å2
<r2> 76.254
(<r2>)1/2 8.732