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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: B3LYP/6-311G*

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/6-311G*
 hartrees
Energy at 0K-265.598258
Energy at 298.15K-265.606016
Nuclear repulsion energy224.854580
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/6-311G*
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 3653 3530 30.95      
2 A 3266 3156 7.18      
3 A 3237 3128 8.52      
4 A 3140 3034 6.74      
5 A 3068 2965 27.51      
6 A 3026 2924 39.10      
7 A 1602 1548 40.64      
8 A 1525 1474 1.34      
9 A 1504 1453 4.34      
10 A 1503 1452 8.71      
11 A 1445 1396 41.82      
12 A 1429 1381 0.26      
13 A 1392 1346 1.09      
14 A 1279 1235 15.66      
15 A 1181 1141 5.61      
16 A 1137 1099 2.67      
17 A 1104 1067 26.36      
18 A 1071 1035 1.16      
19 A 1012 978 11.06      
20 A 971 938 2.79      
21 A 933 901 2.90      
22 A 848 819 12.53      
23 A 718 694 38.89      
24 A 691 667 15.16      
25 A 679 656 1.12      
26 A 646 624 14.28      
27 A 520 503 78.01      
28 A 347 335 5.12      
29 A 251 242 6.14      
30 A 87 84 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 21630.9 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 20902.0 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/6-311G*
ABC
0.29776 0.11990 0.08687

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -2.112 -0.023 0.000
H2 -2.508 0.490 -0.883
H3 -2.491 -1.044 -0.002
H4 -2.509 0.486 0.885
N5 0.169 1.051 0.000
H6 -0.149 2.007 -0.000
C7 -0.620 -0.069 0.000
N8 0.119 -1.158 -0.000
C9 1.427 -0.729 0.000
H10 2.247 -1.432 0.000
C11 1.486 0.638 -0.000
H12 2.308 1.336 0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09511.08911.09512.52172.82421.49312.50323.60954.58183.65894.6248
H21.09511.76901.76772.87442.94052.15833.22444.21385.20494.09364.9694
H31.08911.76901.76903.38623.84642.10962.61213.93104.75414.31835.3569
H41.09511.76771.76902.87612.94352.15843.22334.21325.20404.09474.9705
N52.52172.87443.38622.87611.00731.37072.21002.18013.23831.38082.1581
H62.82422.94053.84642.94351.00732.12943.17643.15774.19172.13302.5472
C71.49312.15832.10962.15841.37072.12941.31552.15103.17462.22193.2480
N82.50323.22442.61213.22332.21003.17641.31551.37732.14622.25733.3187
C93.60954.21383.93104.21322.18013.15772.15101.37731.08011.36802.2449
H104.58185.20494.75415.20403.23834.19173.17462.14621.08012.20532.7688
C113.65894.09364.31834.09471.38082.13302.22192.25731.36802.20531.0784
H124.62484.96945.35694.97052.15812.54723.24803.31872.24492.76881.0784

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.356 C1 C7 N8 125.949
H2 C1 H3 108.176 H2 C1 H4 107.626
H2 C1 C7 112.086 H3 C1 H4 108.171
H3 C1 C7 108.553 H4 C1 C7 112.090
N5 C7 N8 110.695 N5 C11 C9 104.960
N5 C11 H12 122.218 H6 N5 C7 126.452
H6 N5 C11 125.835 C7 N5 C11 107.713
C7 N8 C9 106.009 N8 C9 H10 121.231
N8 C9 C11 110.623 C9 C11 H12 132.822
H10 C9 C11 128.145
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.695     -0.477
2 H 0.219     0.115
3 H 0.247     0.154
4 H 0.219     0.115
5 N -0.533     -0.265
6 H 0.344     0.316
7 C 0.372     0.546
8 N -0.312     -0.564
9 C -0.183     0.099
10 H 0.191     0.119
11 C -0.076     -0.382
12 H 0.207     0.224


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.484 3.599 0.001 3.631
CHELPG        
AIM        
ESP -0.453 3.584 0.002 3.612


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.021 -0.551 0.002
y -0.551 -34.020 0.001
z 0.002 0.001 -38.079
Traceless
 xyz
x 5.029 -0.551 0.002
y -0.551 0.530 0.001
z 0.002 0.001 -5.559
Polar
3z2-r2-11.117
x2-y22.999
xy-0.551
xz0.002
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.320 -0.088 -0.002
y -0.088 8.300 0.000
z -0.002 0.000 4.746


<r2> (average value of r2) Å2
<r2> 139.297
(<r2>)1/2 11.802