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

using model chemistry: B2PLYP/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 B2PLYP/cc-pVDZ
 hartrees
Energy at 0K-225.343958
Energy at 298.15K-225.348402
HF Energy-225.115903
Nuclear repulsion energy152.492937
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 B2PLYP/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 3263 3125 1.81      
2 A1 3254 3116 11.05      
3 A1 1459 1397 15.90      
4 A1 1317 1261 46.35      
5 A1 1171 1121 29.82      
6 A1 1001 959 2.70      
7 A1 915 877 3.63      
8 A2 893 855 0.00      
9 A2 570 546 0.00      
10 B1 880 842 0.41      
11 B1 773 740 19.07      
12 B1 518 497 27.79      
13 B2 3240 3103 0.90      
14 B2 1545 1479 18.23      
15 B2 1288 1234 0.00      
16 B2 1194 1143 5.22      
17 B2 1011 968 70.85      
18 B2 769 737 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 12529.6 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 11999.6 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 B2PLYP/cc-pVDZ
ABC
0.35405 0.30340 0.16339

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.173 0.373
N3 0.000 -1.173 0.373
C4 0.000 0.737 -0.876
C5 0.000 -0.737 -0.876
H6 0.000 0.000 2.186
H7 0.000 1.409 -1.735
H8 0.000 -1.409 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37751.37752.10552.10551.08993.16253.1625
N21.37752.34581.32382.28252.15872.12213.3337
N31.37752.34582.28251.32382.15873.33372.1221
C42.10551.32382.28251.47393.14961.09062.3114
C52.10552.28251.32381.47393.14962.31141.0906
H61.08992.15872.15873.14963.14964.16674.1667
H73.16252.12213.33371.09062.31144.16672.8179
H83.16253.33372.12212.31141.09064.16672.8179

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 102.400 C1 N3 C5 102.400
N2 C1 N3 116.744 N2 C1 H6 121.628
N2 C4 C5 109.228 N2 C4 H7 122.735
N3 C1 H6 121.628 N3 C5 C4 109.228
N3 C5 H8 122.735 C4 C5 H8 128.037
C5 C4 H7 128.037
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.193      
2 N -0.210      
3 N -0.210      
4 C 0.068      
5 C 0.068      
6 H 0.039      
7 H 0.027      
8 H 0.027      


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 -1.529 1.529
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.128 0.000 0.000
y 0.000 -34.064 0.000
z 0.000 0.000 -22.576
Traceless
 xyz
x -0.808 0.000 0.000
y 0.000 -8.212 0.000
z 0.000 0.000 9.021
Polar
3z2-r218.041
x2-y24.936
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.840 0.000 0.000
y 0.000 5.942 0.000
z 0.000 0.000 7.494


<r2> (average value of r2) Å2
<r2> 76.780
(<r2>)1/2 8.762