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All results from a given calculation for C3H4N2 (1H-Imidazole)

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 CS 1A'
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-226.161547
Energy at 298.15K-226.167522
HF Energy-226.161547
Nuclear repulsion energy163.655897
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 A' 3704 3512 54.23      
2 A' 3327 3155 1.88      
3 A' 3299 3128 1.72      
4 A' 3294 3124 7.26      
5 A' 1598 1515 14.56      
6 A' 1544 1464 19.37      
7 A' 1480 1403 14.55      
8 A' 1410 1337 8.79      
9 A' 1301 1234 0.67      
10 A' 1201 1139 4.46      
11 A' 1172 1111 2.47      
12 A' 1124 1066 24.93      
13 A' 1097 1041 31.24      
14 A' 950 901 1.91      
15 A' 909 862 7.84      
16 A" 870 825 5.50      
17 A" 814 772 33.26      
18 A" 730 692 28.99      
19 A" 691 655 3.01      
20 A" 653 619 15.30      
21 A" 529 501 104.36      

Unscaled Zero Point Vibrational Energy (zpe) 15848.3 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 15028.9 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 mPW1PW91/6-31G*
ABC
0.32798 0.31466 0.16059

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.085 0.281 0.000
C3 1.116 0.300 0.000
N4 -0.740 -0.983 0.000
C5 0.632 -0.980 0.000
H6 -0.010 2.108 0.000
H7 -2.096 0.661 0.000
H8 2.115 0.706 0.000
H9 1.194 -1.902 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36001.37332.21172.17481.00682.14222.15133.2321
C21.36002.20071.31042.12982.11961.08083.22783.1561
C31.37332.20072.25651.36902.12933.23251.07832.2042
N42.21171.31042.25651.37153.17602.13173.31732.1415
C52.17482.12981.36901.37153.15383.18372.24591.0804
H61.00682.11962.12933.17603.15382.53892.54534.1871
H72.14221.08083.23252.13173.18372.53894.21154.1714
H82.15133.22781.07833.31732.24592.54534.21152.7664
H93.23213.15612.20422.14151.08044.18714.17142.7664

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.828 N1 C2 H7 122.312
N1 C3 C5 104.946 N1 C3 H8 122.224
C2 N1 C3 107.252 C2 N1 H6 126.515
C2 N4 C5 105.126 C3 N1 H6 126.233
C3 C5 N4 110.849 C3 C5 H9 127.897
N4 C2 H7 125.860 N4 C5 H9 121.254
C5 C3 H8 132.830
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.591      
2 C 0.197      
3 C -0.010      
4 N -0.441      
5 C -0.065      
6 H 0.361      
7 H 0.188      
8 H 0.189      
9 H 0.172      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.132 3.601 0.000 3.775
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.874 -3.189 0.000
y -3.189 -24.834 0.000
z 0.000 0.000 -31.174
Traceless
 xyz
x 2.129 -3.189 0.000
y -3.189 3.690 0.000
z 0.000 0.000 -5.819
Polar
3z2-r2-11.639
x2-y2-1.040
xy-3.189
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.978 -0.181 0.000
y -0.181 6.708 0.000
z 0.000 0.000 2.612


<r2> (average value of r2) Å2
<r2> 79.128
(<r2>)1/2 8.895