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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-265.439856
Energy at 298.15K-265.447601
Nuclear repulsion energy225.040830
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 3669 3510 40.58      
2 A 3304 3161 4.18      
3 A 3272 3130 7.83      
4 A 3177 3040 3.78      
5 A 3109 2974 19.35      
6 A 3052 2920 33.10      
7 A 1620 1550 37.96      
8 A 1544 1477 4.05      
9 A 1520 1454 2.18      
10 A 1509 1443 8.65      
11 A 1465 1402 43.09      
12 A 1439 1377 0.21      
13 A 1414 1353 1.10      
14 A 1293 1237 14.97      
15 A 1209 1157 2.85      
16 A 1148 1098 4.77      
17 A 1119 1070 26.37      
18 A 1070 1024 2.26      
19 A 1015 971 8.81      
20 A 976 933 1.09      
21 A 927 887 3.07      
22 A 853 816 10.74      
23 A 724 693 36.59      
24 A 691 661 6.15      
25 A 684 654 1.27      
26 A 645 617 16.83      
27 A 519 497 78.91      
28 A 347 332 5.31      
29 A 252 241 6.14      
30 A 85 81 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 21824.3 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 20879.3 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
0.29742 0.12038 0.08709

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 2.505 0.488 0.887
H3 2.483 -1.048 -0.001
H4 2.505 0.489 -0.886
N5 -0.168 1.050 0.000
H6 0.154 2.006 -0.001
C7 0.618 -0.069 -0.000
N8 -0.120 -1.160 -0.000
C9 -1.424 -0.728 -0.000
H10 -2.248 -1.430 0.000
C11 -1.483 0.640 0.000
H12 -2.304 1.341 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09741.09181.09742.51662.81681.49062.50163.60204.57763.65174.6184
H21.09741.77381.77252.87232.93632.15793.22364.20755.20124.08824.9644
H31.09181.77381.77383.38123.84092.10642.60563.92054.74644.31045.3506
H41.09741.77251.77382.87172.93462.15793.22434.20795.20184.08804.9640
N52.51662.87233.38122.87171.00891.36782.21062.17683.23631.37702.1557
H62.81682.93633.84092.93461.00892.12633.17793.15684.19212.13192.5465
C71.49062.15792.10642.15791.36782.12631.31732.14613.17272.21753.2450
N82.50163.22362.60563.22432.21063.17791.31731.37392.14492.25793.3209
C93.60204.20753.92054.20792.17683.15682.14611.37391.08211.36942.2487
H104.57765.20124.74645.20183.23634.19213.17272.14491.08212.20672.7717
C113.65174.08824.31044.08801.37702.13192.21752.25791.36942.20671.0800
H124.61844.96445.35064.96402.15572.54653.24503.32092.24872.77171.0800

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 123.326 C1 C7 N8 125.861
H2 C1 H3 108.242 H2 C1 H4 107.731
H2 C1 C7 112.089 H3 C1 H4 108.243
H3 C1 C7 108.312 H4 C1 C7 112.092
N5 C7 N8 110.813 N5 C11 C9 104.863
N5 C11 H12 122.190 H6 N5 C7 126.263
H6 N5 C11 125.952 C7 N5 C11 107.785
C7 N8 C9 105.754 N8 C9 H10 121.242
N8 C9 C11 110.785 C9 C11 H12 132.947
H10 C9 C11 127.973
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 -0.599     -0.527
2 H 0.184     0.130
3 H 0.218     0.169
4 H 0.184     0.130
5 N -0.620     -0.320
6 H 0.350     0.331
7 C 0.488     0.565
8 N -0.475     -0.563
9 C -0.064     0.091
10 H 0.162     0.116
11 C -0.006     -0.335
12 H 0.178     0.212


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.498 3.595 -0.001 3.630
CHELPG        
AIM        
ESP 0.485 3.569 -0.001 3.601


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.078 0.515 -0.001
y 0.515 -33.230 -0.003
z -0.001 -0.003 -37.256
Traceless
 xyz
x 5.165 0.515 -0.001
y 0.515 0.436 -0.003
z -0.001 -0.003 -5.602
Polar
3z2-r2-11.203
x2-y23.153
xy0.515
xz-0.001
yz-0.003


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> 138.483
(<r2>)1/2 11.768