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

using model chemistry: B3PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31G**
 hartrees
Energy at 0K-265.450534
Energy at 298.15K-265.458293
Nuclear repulsion energy225.097443
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 B3PW91/6-31G**
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 3690 3537 45.32      
2 A 3300 3162 2.93      
3 A 3267 3131 7.12      
4 A 3178 3046 3.41      
5 A 3110 2981 18.43      
6 A 3050 2923 31.83      
7 A 1617 1549 38.16      
8 A 1541 1476 5.32      
9 A 1510 1447 4.08      
10 A 1491 1429 8.21      
11 A 1458 1397 40.24      
12 A 1428 1369 0.17      
13 A 1404 1346 1.16      
14 A 1288 1234 15.01      
15 A 1206 1156 2.88      
16 A 1145 1097 3.83      
17 A 1114 1068 27.43      
18 A 1059 1015 2.15      
19 A 1010 968 8.47      
20 A 970 930 0.99      
21 A 926 888 3.05      
22 A 859 823 9.31      
23 A 728 698 37.75      
24 A 691 662 4.11      
25 A 683 655 1.20      
26 A 645 618 15.81      
27 A 527 505 76.23      
28 A 347 332 5.41      
29 A 252 242 5.92      
30 A 81 78 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 21787.0 cm-1
Scaled (by 0.9584) Zero Point Vibrational Energy (zpe) 20880.7 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 B3PW91/6-31G**
ABC
0.29758 0.12043 0.08713

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.108 -0.022 0.000
H2 2.504 0.487 0.887
H3 2.481 -1.047 -0.002
H4 2.504 0.490 -0.884
N5 -0.168 1.050 0.000
H6 0.153 2.005 -0.002
C7 0.618 -0.068 -0.000
N8 -0.119 -1.160 -0.000
C9 -1.423 -0.729 -0.000
H10 -2.248 -1.428 0.000
C11 -1.483 0.639 0.000
H12 -2.306 1.338 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09621.09061.09622.51642.81581.49032.50023.60114.57703.65144.6184
H21.09621.77261.77112.87122.93552.15613.22074.20525.19904.08694.9639
H31.09061.77261.77263.37903.83802.10422.60193.91714.74404.30775.3479
H41.09621.77111.77262.87032.93242.15613.22204.20595.20024.08664.9632
N52.51642.87123.37902.87031.00731.36732.21042.17673.23511.37712.1564
H62.81582.93553.83802.93241.00732.12423.17613.15534.18932.13112.5477
C71.49032.15612.10422.15611.36732.12421.31712.14573.17252.21723.2445
N82.50023.22072.60193.22202.21043.17611.31711.37402.14612.25803.3200
C93.60114.20523.91714.20592.17673.15532.14571.37401.08141.36932.2472
H104.57705.19904.74405.20023.23514.18933.17252.14611.08142.20462.7671
C113.65144.08694.30774.08661.37712.13112.21722.25801.36932.20461.0793
H124.61844.96395.34794.96322.15642.54773.24453.32002.24722.76711.0793

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 123.372 C1 C7 N8 125.782
H2 C1 H3 108.312 H2 C1 H4 107.773
H2 C1 C7 112.041 H3 C1 H4 108.312
H3 C1 C7 108.235 H4 C1 C7 112.045
N5 C7 N8 110.846 N5 C11 C9 104.851
N5 C11 H12 122.300 H6 N5 C7 126.229
H6 N5 C11 125.990 C7 N5 C11 107.781
C7 N8 C9 105.733 N8 C9 H10 121.398
N8 C9 C11 110.789 C9 C11 H12 132.848
H10 C9 C11 127.814
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.456      
2 H 0.145      
3 H 0.177      
4 H 0.145      
5 N -0.549      
6 H 0.284      
7 C 0.457      
8 N -0.484      
9 C -0.012      
10 H 0.119      
11 C 0.036      
12 H 0.136      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.519 3.581 -0.002 3.618
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.036 0.523 -0.000
y 0.523 -33.286 -0.007
z -0.000 -0.007 -37.208
Traceless
 xyz
x 5.211 0.523 -0.000
y 0.523 0.336 -0.007
z -0.000 -0.007 -5.547
Polar
3z2-r2-11.094
x2-y23.250
xy0.523
xz-0.000
yz-0.007


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


<r2> (average value of r2) Å2
<r2> 138.409
(<r2>)1/2 11.765