return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B1B95/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/6-311G**
 hartrees
Energy at 0K-265.490357
Energy at 298.15K-265.498178
Nuclear repulsion energy225.927341
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 B1B95/6-311G**
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 3682 3535 48.80      
2 A 3289 3158 3.37      
3 A 3256 3126 6.63      
4 A 3168 3041 4.02      
5 A 3102 2978 19.52      
6 A 3045 2924 31.51      
7 A 1618 1553 42.26      
8 A 1538 1477 5.49      
9 A 1504 1444 5.61      
10 A 1480 1421 8.77      
11 A 1450 1392 40.27      
12 A 1422 1366 0.48      
13 A 1394 1338 0.56      
14 A 1283 1232 14.66      
15 A 1202 1154 3.73      
16 A 1141 1095 4.07      
17 A 1111 1066 28.68      
18 A 1056 1014 1.34      
19 A 1008 968 9.08      
20 A 968 929 1.63      
21 A 926 889 3.00      
22 A 870 835 9.64      
23 A 734 705 47.56      
24 A 695 667 3.64      
25 A 684 657 1.10      
26 A 647 621 15.50      
27 A 549 527 69.25      
28 A 345 332 5.12      
29 A 253 243 5.85      
30 A 89 86 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 21753.9 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 20885.9 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 B1B95/6-311G**
ABC
0.30001 0.12127 0.08778

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.101 -0.023 0.000
H2 2.493 0.486 0.884
H3 2.472 -1.044 -0.001
H4 2.493 0.488 -0.883
N5 -0.167 1.046 0.000
H6 0.152 1.999 -0.001
C7 0.616 -0.069 -0.000
N8 -0.118 -1.154 -0.000
C9 -1.419 -0.725 -0.000
H10 -2.240 -1.424 0.000
C11 -1.477 0.637 0.000
H12 -2.298 1.333 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09281.08731.09282.50742.80801.48532.49083.58924.56123.63854.6029
H21.09281.76841.76752.85842.92392.14723.20754.18925.17934.07004.9444
H31.08731.76841.76843.36733.82712.09692.59273.90434.72724.29265.3298
H41.09281.76751.76842.85782.92242.14723.20824.18955.17984.06984.9441
N52.50742.85843.36732.85781.00511.36272.20082.16903.22441.37252.1498
H62.80802.92393.82712.92241.00512.11933.16483.14504.17612.12412.5391
C71.48532.14722.09692.14721.36272.11931.31052.13853.16122.20933.2337
N82.49083.20752.59273.20822.20083.16481.31051.36962.13862.24823.3070
C93.58924.18923.90434.18952.16903.14502.13851.36961.07801.36322.2380
H104.56125.17934.72725.17983.22444.17613.16122.13861.07802.19732.7576
C113.63854.07004.29264.06981.37252.12412.20932.24821.36322.19731.0761
H124.60294.94445.32984.94412.14982.53913.23373.30702.23802.75761.0761

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 123.325 C1 C7 N8 125.861
H2 C1 H3 108.417 H2 C1 H4 107.930
H2 C1 C7 111.884 H3 C1 H4 108.419
H3 C1 C7 108.197 H4 C1 C7 111.887
N5 C7 N8 110.815 N5 C11 C9 104.900
N5 C11 H12 122.331 H6 N5 C7 126.360
H6 N5 C11 125.896 C7 N5 C11 107.744
C7 N8 C9 105.839 N8 C9 H10 121.341
N8 C9 C11 110.703 C9 C11 H12 132.770
H10 C9 C11 127.956
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.320      
2 H 0.135      
3 H 0.156      
4 H 0.135      
5 N -0.395      
6 H 0.233      
7 C 0.256      
8 N -0.332      
9 C -0.100      
10 H 0.105      
11 C 0.014      
12 H 0.114      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.536 3.570 -0.001 3.610
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.609 0.545 -0.001
y 0.545 -33.746 -0.002
z -0.001 -0.002 -37.666
Traceless
 xyz
x 5.097 0.545 -0.001
y 0.545 0.391 -0.002
z -0.001 -0.002 -5.488
Polar
3z2-r2-10.976
x2-y23.138
xy0.545
xz-0.001
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.297 0.082 0.000
y 0.082 8.289 0.000
z 0.000 0.000 4.814


<r2> (average value of r2) Å2
<r2> 137.862
(<r2>)1/2 11.741