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

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-226.301319
Energy at 298.15K-226.307315
HF Energy-226.301319
Nuclear repulsion energy163.589622
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 B3LYP/cc-pVTZ
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' 3656 3534 52.16      
2 A' 3273 3163 1.56      
3 A' 3243 3135 0.11      
4 A' 3240 3132 6.25      
5 A' 1559 1507 11.60      
6 A' 1502 1452 15.51      
7 A' 1431 1384 13.80      
8 A' 1365 1319 6.17      
9 A' 1287 1244 0.37      
10 A' 1161 1122 4.79      
11 A' 1146 1108 2.54      
12 A' 1095 1058 16.52      
13 A' 1075 1039 38.52      
14 A' 947 915 1.50      
15 A' 909 879 9.01      
16 A" 880 850 3.53      
17 A" 824 796 31.18      
18 A" 738 713 36.32      
19 A" 685 662 5.39      
20 A" 649 627 8.73      
21 A" 529 511 88.23      

Unscaled Zero Point Vibrational Energy (zpe) 15595.9 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 15075.0 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 B3LYP/cc-pVTZ
ABC
0.32648 0.31541 0.16043

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.102 0.000
C2 -1.088 0.282 0.000
C3 1.116 0.297 0.000
N4 -0.740 -0.981 0.000
C5 0.635 -0.982 0.000
H6 -0.008 2.107 0.000
H7 -2.097 0.661 0.000
H8 2.113 0.699 0.000
H9 1.196 -1.900 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36241.37592.21022.17831.00472.14262.15143.2318
C21.36242.20451.31002.13682.12001.07733.22853.1595
C31.37592.20452.25371.36702.13023.23351.07482.1993
N42.21021.31002.25371.37453.17272.12993.31082.1435
C52.17832.13681.36701.37453.15473.18742.23851.0766
H61.00472.12002.13023.17273.15472.53982.54634.1841
H72.14261.07733.23352.12993.18742.53984.21024.1719
H82.15143.22851.07483.31082.23852.54634.21022.7561
H93.23183.15952.19932.14351.07664.18414.17192.7561

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 111.571 N1 C2 H7 122.416
N1 C3 C5 105.151 N1 C3 H8 122.302
C2 N1 C3 107.231 C2 N1 H6 126.511
C2 N4 C5 105.468 C3 N1 H6 126.258
C3 C5 N4 110.579 C3 C5 H9 127.926
N4 C2 H7 126.013 N4 C5 H9 121.495
C5 C3 H8 132.548
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.047      
2 C -0.029      
3 C -0.128      
4 N -0.208      
5 C -0.103      
6 H 0.154      
7 H 0.120      
8 H 0.124      
9 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.100 3.525 0.000 3.693
CHELPG        
AIM        
ESP 1.078 3.490 0.000 3.653


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.805 -3.215 0.000
y -3.215 -25.745 0.000
z 0.000 0.000 -31.710
Traceless
 xyz
x 1.923 -3.215 0.000
y -3.215 3.513 0.000
z 0.000 0.000 -5.435
Polar
3z2-r2-10.871
x2-y2-1.060
xy-3.215
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.835 -0.155 0.000
y -0.155 7.478 0.000
z 0.000 0.000 3.996


<r2> (average value of r2) Å2
<r2> 79.665
(<r2>)1/2 8.926