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

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-265.314815
Energy at 298.15K-265.322448
HF Energy-265.314815
Nuclear repulsion energy224.257285
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 PBEPBE/Def2TZVPP
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 3560 3517 29.89      
2 A 3202 3163 3.03      
3 A 3173 3134 4.83      
4 A 3080 3042 2.72      
5 A 3013 2977 14.83      
6 A 2963 2927 32.65      
7 A 1543 1524 34.36      
8 A 1474 1456 3.80      
9 A 1446 1428 3.23      
10 A 1432 1414 7.42      
11 A 1390 1373 36.10      
12 A 1367 1350 0.13      
13 A 1346 1330 0.91      
14 A 1241 1226 13.43      
15 A 1159 1145 3.16      
16 A 1103 1090 4.93      
17 A 1072 1059 22.85      
18 A 1022 1009 0.87      
19 A 974 962 9.20      
20 A 935 924 1.26      
21 A 900 889 3.31      
22 A 829 819 9.99      
23 A 701 693 46.82      
24 A 671 663 5.45      
25 A 666 658 0.89      
26 A 628 620 11.80      
27 A 513 507 57.78      
28 A 339 335 5.03      
29 A 244 241 5.57      
30 A 79 78 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 21031.2 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 20776.7 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 PBEPBE/Def2TZVPP
ABC
0.29546 0.11957 0.08651

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.117 -0.024 0.000
H2 2.513 0.488 0.890
H3 2.493 -1.053 -0.001
H4 2.513 0.490 -0.889
N5 -0.167 1.051 -0.000
H6 0.156 2.012 -0.001
C7 0.625 -0.069 -0.000
N8 -0.123 -1.162 -0.000
C9 -1.433 -0.730 -0.000
H10 -2.262 -1.431 -0.000
C11 -1.487 0.644 0.000
H12 -2.311 1.349 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10031.09521.10032.52452.82651.49202.51253.61944.59943.66564.6357
H21.10031.77991.77832.87942.94412.15953.23474.22445.22254.10094.9798
H31.09521.77991.77993.39153.85362.11062.61813.93914.76984.32675.3705
H41.10031.77831.77992.87872.94252.15963.23534.22475.22304.10074.9796
N52.52452.87943.39152.87871.01321.37222.21422.18543.24841.38182.1643
H62.82652.94413.85362.94251.01322.13283.18623.16894.20722.13832.5544
C71.49202.15952.11062.15961.37222.13281.32522.16223.19282.22993.2606
N82.51253.23472.61813.23532.21423.18621.32521.37962.15582.26363.3305
C93.61944.22443.93914.22472.18543.16892.16221.37961.08581.37482.2564
H104.59945.22254.76985.22303.24844.20723.19282.15581.08582.21492.7805
C113.66564.10094.32674.10071.38182.13832.22992.26361.37482.21491.0840
H124.63574.97985.37054.97962.16432.55443.26063.33052.25642.78051.0840

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 123.565 C1 C7 N8 126.108
H2 C1 H3 108.329 H2 C1 H4 107.821
H2 C1 C7 111.941 H3 C1 H4 108.331
H3 C1 C7 108.359 H4 C1 C7 111.943
N5 C7 N8 110.327 N5 C11 C9 104.892
N5 C11 H12 122.273 H6 N5 C7 126.117
H6 N5 C11 125.758 C7 N5 C11 108.125
C7 N8 C9 106.124 N8 C9 H10 121.496
N8 C9 C11 110.532 C9 C11 H12 132.835
H10 C9 C11 127.972
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.282      
2 H 0.093      
3 H 0.113      
4 H 0.093      
5 N -0.106      
6 H 0.162      
7 C 0.116      
8 N -0.215      
9 C -0.102      
10 H 0.111      
11 C -0.111      
12 H 0.128      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.601 3.494 -0.000 3.545
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.283 0.574 -0.000
y 0.574 -34.462 -0.001
z -0.000 -0.001 -38.128
Traceless
 xyz
x 5.012 0.574 -0.000
y 0.574 0.244 -0.001
z -0.000 -0.001 -5.255
Polar
3z2-r2-10.511
x2-y23.179
xy0.574
xz-0.000
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.630 0.002 0.000
y 0.002 9.395 -0.000
z 0.000 -0.000 6.013


<r2> (average value of r2) Å2
<r2> 139.956
(<r2>)1/2 11.830