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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-225.506876
Energy at 298.15K-225.511331
HF Energy-225.506876
Nuclear repulsion energy153.425283
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 mPW1PW91/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3276 3117 1.95      
2 A1 3268 3109 13.16      
3 A1 1491 1418 24.80      
4 A1 1334 1270 54.26      
5 A1 1190 1132 27.47      
6 A1 1011 962 2.65      
7 A1 925 880 3.77      
8 A2 891 848 0.00      
9 A2 567 540 0.00      
10 B1 879 837 0.32      
11 B1 768 731 20.39      
12 B1 520 495 30.46      
13 B2 3254 3096 1.45      
14 B2 1564 1488 19.52      
15 B2 1309 1246 0.01      
16 B2 1205 1146 6.41      
17 B2 1042 992 71.20      
18 B2 809 770 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 12651.8 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 12038.2 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 mPW1PW91/6-31G**
ABC
0.35816 0.30718 0.16536

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.164 0.371
N3 0.000 -1.164 0.371
C4 0.000 0.735 -0.872
C5 0.000 -0.735 -0.872
H6 0.000 0.000 2.172
H7 0.000 1.401 -1.725
H8 0.000 -1.401 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36801.36802.09412.09411.08263.14433.1443
N21.36802.32861.31512.26962.14432.11003.3134
N31.36802.32862.26961.31512.14433.31342.1100
C42.09411.31512.26961.46943.13111.08322.3003
C52.09412.26961.31511.46943.13112.30031.0832
H61.08262.14432.14433.13113.13114.14174.1417
H73.14432.11003.31341.08322.30034.14172.8027
H83.14433.31342.11002.30031.08324.14172.8027

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 102.598 C1 N3 C5 102.598
N2 C1 N3 116.668 N2 C1 H6 121.666
N2 C4 C5 109.068 N2 C4 H7 122.948
N3 C1 H6 121.666 N3 C5 C4 109.068
N3 C5 H8 122.948 C4 C5 H8 127.984
C5 C4 H7 127.984
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.243      
2 N -0.425      
3 N -0.425      
4 C 0.064      
5 C 0.064      
6 H 0.164      
7 H 0.158      
8 H 0.158      


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 -1.684 1.684
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.809 0.000 0.000
y 0.000 -33.872 0.000
z 0.000 0.000 -21.877
Traceless
 xyz
x -0.934 0.000 0.000
y 0.000 -8.529 0.000
z 0.000 0.000 9.463
Polar
3z2-r218.926
x2-y25.063
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.616 0.000 0.000
y 0.000 5.872 0.000
z 0.000 0.000 7.212


<r2> (average value of r2) Å2
<r2> 75.827
(<r2>)1/2 8.708