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

using model chemistry: B2PLYP/TZVP

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/TZVP
 hartrees
Energy at 0K-225.409281
Energy at 298.15K-225.413676
HF Energy-225.168526
Nuclear repulsion energy153.287665
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/TZVP
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 3271 3122 1.22      
2 A1 3259 3110 9.62      
3 A1 1441 1375 14.19      
4 A1 1328 1268 55.88      
5 A1 1168 1115 31.07      
6 A1 1000 955 2.49      
7 A1 925 883 1.93      
8 A2 830 792 0.00      
9 A2 558 533 0.00      
10 B1 840 801 0.00      
11 B1 759 724 26.27      
12 B1 509 485 29.22      
13 B2 3247 3099 0.27      
14 B2 1540 1470 19.89      
15 B2 1311 1251 0.07      
16 B2 1209 1154 8.83      
17 B2 1008 963 68.16      
18 B2 752 718 3.09      

Unscaled Zero Point Vibrational Energy (zpe) 12477.1 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 11908.1 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 B2PLYP/TZVP
ABC
0.35630 0.30754 0.16507

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.164 0.371
N3 0.000 -1.164 0.371
C4 0.000 0.734 -0.874
C5 0.000 -0.734 -0.874
H6 0.000 0.000 2.174
H7 0.000 1.400 -1.724
H8 0.000 -1.400 -1.724

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37131.37132.10192.10191.07873.14773.1477
N21.37132.32781.31672.26952.14672.10753.3103
N31.37132.32782.26951.31672.14673.31032.1075
C42.10191.31672.26951.46773.13541.07952.2965
C52.10192.26951.31671.46773.13542.29651.0795
H61.07872.14672.14673.13543.13544.14174.1417
H73.14772.10753.31031.07952.29654.14172.7994
H83.14773.31032.10752.29651.07954.14172.7994

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 102.860 C1 N3 C5 102.860
N2 C1 N3 116.155 N2 C1 H6 121.923
N2 C4 C5 109.062 N2 C4 H7 122.857
N3 C1 H6 121.923 N3 C5 C4 109.062
N3 C5 H8 122.857 C4 C5 H8 128.081
C5 C4 H7 128.081
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.041      
2 N -0.112      
3 N -0.112      
4 C -0.070      
5 C -0.070      
6 H 0.138      
7 H 0.133      
8 H 0.133      


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 -1.701 1.701
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.632 0.000 0.000
y 0.000 -35.329 0.000
z 0.000 0.000 -22.607
Traceless
 xyz
x -0.664 0.000 0.000
y 0.000 -9.210 0.000
z 0.000 0.000 9.874
Polar
3z2-r219.747
x2-y25.697
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.822 0.000 0.000
y 0.000 6.643 0.000
z 0.000 0.000 7.781


<r2> (average value of r2) Å2
<r2> 76.539
(<r2>)1/2 8.749